Answer:
Step-by-step explanation:
a(i) q = 2p + (1/2)
(ii) v = (1/10)u
(iii) t = 15d
(iv) m = 0.75d - 2
2p is added by the same constant so it's not proportional
Solve the system of equations by the elimination method.
-x + 2y = 0
x + 2y = 7
Answer:
[tex]\left \{ {{-x+2=0} \atop {x+2y=7}} \right.[/tex]
-x + 2 = 0 --> -x = -2
x + 2y = 7 --> x + 2y = 7
________
2y = 7-2 = 5 --> y = 5/2
x = -2y + 7 --> x = -5 + 7 --> x = 2
---
Have a nice day!
Match the vocab word with the definition:
Question 3 options:
Least Common Denominator
Greatest Common Factor
Integer
Simplifying Fractions
Dimensional Analysis
Factor
1.
It is the largest number that divides exactly into two or more numbers.
2.
Also called reducing means to make the fraction as simple as possible.
3.
The LCM of two or more denominators.
4.
A number that is multiplied by another number.
5.
A procedure of multiplying be conversion factors to divide out common units and convert between different measurements.
6.
All the numbers within the whole number set {0,1,2,3,…} as well as all of the opposites.
1. Least Common Denominator ⇒ The LCM of two or more denominators.
2.Greatest Common Factor ⇒ It is the largest number that divides
exactly into two or more numbers.
3. Integer ⇒ All the numbers within the whole number set {0,1,2,3,…} as
well as all of the opposites.
4. Simplifying Fractions ⇒ Also called reducing means to make the
fraction as simple as possible.
5. Dimensional Analysis ⇒ A procedure of multiplying be conversion factors to divide out common units and convert between different measurements.
6. Factor ⇒ A number that is multiplied by another number.
What is Greatest Common Factor ?
The highest number that divide exactly into two or more numbers is called Greatest Common Factor.
Now, We can match each by the definitions as;
Since, Least Common Denominator is the LCM of two or more denominators.
1. Hence, Least Common Denominator ⇒ The LCM of two or more denominators.
Since, Greatest Common Factor is the largest number that divides exactly into two or more numbers.
Hence, Greatest Common Factor ⇒ It is the largest number that divides exactly into two or more numbers.
Since, All the numbers within the whole number set {0,1,2,3,…} as well as all of the opposites.
Hence, Integer ⇒ All the numbers within the whole number set {0,1,2,3,…} as well as all of the opposites.
Since, Simplifying Fractions also called reducing means to make the fraction as simple as possible.
Hence, Simplifying Fractions ⇒ Also called reducing means to make the fraction as simple as possible.
Since, A procedure of multiplying be conversion factors to divide out common units and convert between different measurements is called
Dimensional Analysis.
Hence, Dimensional Analysis ⇒ A procedure of multiplying be conversion factors to divide out common units and convert between different measurements.
Since, When a number is multiplied by another number then it is called a factors of that number.
So, Factor ⇒ A number that is multiplied by another number.
Learn more about the Least Common Denominator visit:
https://brainly.com/question/27820320
#SPJ1
A bag of sand originally weighing 144 lb was lifted at a constant rate. As it rose, sand also leaked out at a constant rate. The sand was half gone by the time the bag had been lifted to 18 ft. How much work was done lifting the sand this far? (Neglect the weight of the bag and lifting equipment.)
Using a linear function and the work integral, it is found that the work that was done lifting the sand this far is of 944 ft-lb.
What is a linear function?A linear function is modeled by the following rule:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.For the weight of the bag of sand in this problem, we have that:
The initial weight of the bag was of 144 lb, hence the y-intercept is of b = 144.When the bag had been lifted 18 ft, 0.5 x 144 = 72 lb were gone, that is, 4 lb were gone for each ft the bag was lifted, hence the slope is of m = -4.Hence the weight of the bag after being lifted x feet is given by:
W(x) = 144 - 4x.
What is the work of a function?The work realized for a function f(x) in an interval [a,b] is given by the following integral:
[tex]W = \int_{a}^{b} f(x) dx[/tex]
For this problem, the function and the bounds of the interval are given as follows:
f(x) = 144 - 4x.a = 0, b = 18.Hence the work is given by:
[tex]W = \int_{a}^{b} (144 - 4x) dx[/tex]
W = 144x - 2x², from x = 0 to x = 18.
Applying the Fundamental Theorem of Calculus:
W = 144(18) - 2(18)² - 144(0) + 2(0)² = 1944 ft-lb.
The work that was done lifting the sand this far is of 944 ft-lb.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
Directions: Combine the following units of measurement. Be sure to convert unlike units to like units before combining. Use an online calculator if needed.
1. 40mm + 50mm =
2. 68mg + 57g =
3. 45L + 34mL =
4. 78km + 33m =
5. 67cg + 23g =
6. 34km + 89m =
7. 72cm + 88mm =
8. 121L + 42cL =
9. 156cg + 38mg =
10. 56kg + 333mg =
11. 31km 1/3m + 82km 1/6m =
12. 48m 50cm + 17m 281 1/2cm =
13. 97L 3/4mL + 44L 2/3mL =
14. 26km 5/9mm + 64km 1/5mm =
15. 27Kg 1/4g + 67Kg 1/3g =
16. 30kL 1/3mL + 3kL 1mL =
17. 87kg 1024mg + 23kg 237mg =
18. 83L 1/3 cL + 22L 1/6cL =
19. 93kg 1/5g + 29kg 1/3g =
20. 32m 572mm + 78m 2/7mm =
The values of the given summation of units are;
90 mm57.068 g45.034 L78.033 km23.67 g34.089 km80.8 cm121.042L158.8 cg56.333 kg113 km 1/2 m65 m 331 m 1/2 cm141 L 17/12 m/L90 km 34/45 mm94 kg 7/12 g33 kL 4/3 mL110 kg 1261 mg105 L 1/2 cL122 kg 8/15 g110 m 572 2/7 mmWhat are the values of the unit of measurement expressions?The values of the given expressions are;
1. 40 mm + 50 mm = 90 mm
2. 68 mg + 57 g is found as follows;
1000 mg = 1 g
68 mg = 0.068 g
Therefore;
68 mg + 57 g = 0.068 g + 57 g = 57.068 g
3. 45 L + 34 mL is found as follows;
1,000 mL = 1 L
Therefore;
34 mL = 0.034 L
45 L + 34 mL = 45 L + 0.034 L = 45.034 L
4. 78 km + 33 m is found as follows;
1000 m = 1 km
Therefore;
33 m = 0.033 km
78 km + 33 m = 78 km + 0.033 km = 78.033 km
5. 67 cg + 23 g is found as follows;
100 cg = 1g
Therefore;
67 cg = 0.67 g
67 cg + 23 g = 0.67 g + 23 g = 23.67 g
6. 34 km + 89 m
34 km + 89 m = 34 km + 0.089 km = 34.089 km
7. 72 cm + 88 mm
10 mm = 1 cm
88 mm = 8.8 cm
72 cm + 88 mm = 72 cm + 8.8 cm = 80.8 cm
8. 121 L + 42 cL
100 cL = 1 L
Therefore;
121 L + 42 cL = 121 L + 0.042 L = 121.042L
9. 156 cg + 38 mg
10 mg = 1 cg
156 cg + 38 mg = 156 cg + 3.8 cg = 158.8 cg
10. 56 kg + 333 mg
56 kg + 333 mg = 56 kg + 0.333 kg = 56.333 kg
11. 31 km 1/3 m + 82 km 1/6 m = 113 km 1/2 m
12. 48 m 50 cm + 17 m 281 1/2 cm = 65 m 331 m 1/2 cm
13. 97 L 3/4 m/L + 44 L 2/3 m/L = 141 L 17/12 m/L
14. 26 km 5/9 mm + 64 km 1/5 mm = 90 km 34/45 mm
15. 27 kg 1/4 g + 67 kg 1/3 g = 94 kg 7/12 g
16. 30 kL 1/3 mL + 3 kL 1 mL = 33 kL 4/3 mL
17. 87 kg 1024 mg + 23 kg 237 mg = 110 kg 1261 mg
18. 83 L 1/3 cL + 22 L 1/6 cL = 105 L 1/2 cL
19. 93 kg 1/5 g + 29 kg 1/3 g = 122 kg 8/15 g
20. 32 m 572 mm + 78 m 2/7 mm = 110 m 572 2/7 mm
Learn more about calculations using units of measure here:
https://brainly.com/question/987829
#SPJ1
ILL GIVE BRAINLY PLEASE HELP
Answer:
B
Step-by-step explanation:
a c and d are unessecary answers
I will give brainlist
Divide 4 and 5 over 6 ÷ negative 2 and 1 over 7.
negative 10 and 15 over 42
negative 8 and 5 over 42
negative 2 and 23 over 90
negative 2 and 1 over 2
The value of the expression given as [tex]4 \frac{5}{6} \div - 2\frac 17[/tex] is [tex]-2\frac{23}{90}[/tex]
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the solution to the expression?The expression is given as
Divide 4 and 5 over 6 ÷ negative 2 and 1 over 7.
Rewrite the above expression properly as follows:
Divide 4 5/6 ÷ -2 1/7
Using LaTeX, the above expression can be further represented as
[tex]4 \frac{5}{6} \div - 2\frac 17[/tex]
Rewrite the above fractions and express it as improper fractions
[tex]\frac{29}6 \div -\frac{15}7[/tex]
Rewrite the above fractions and express it as products
[tex]\frac{29}6 \times -\frac7{15}[/tex]
Evaluate the product in the above expression
[tex]-\frac{203}{90}[/tex]
Rewrite the above expression as a mixed fraction
[tex]-2\frac{23}{90}[/tex]
Hence, the value of the expression given as [tex]4 \frac{5}{6} \div - 2\frac 17[/tex] is [tex]-2\frac{23}{90}[/tex]
Read more about expressions at
https://brainly.com/question/723406
#SPJ1
Beth got a job painting dorm rooms at her college. At top speed, she could paint 5 identical rooms during one 6-hour shift.
How long did she take to paint
each room?
O 50 minutes
O 1 hour and 10 minutes
O 1 hour and 12 minutes
O 1 hour and 15 minutes
Fill in table y=10x-1
The complete table is
x y
-5 49
-1 9
0 -1
1 -11
From the question, we are to fill in the table for the given values of x
Using the given equation,
y = -10x - 1
Determine the value of y when x = -5
y = -10x - 1
y = -10(-5) - 1
y = 50 - 1
y = 49
Determine the value of y when x = -1
y = -10x - 1
y = -10(-1) - 1
y = 10 - 1
y = 9
Determine the value of y when x = 0
y = -10x - 1
y = -10(0) - 1
y = 0 - 1
y = -1
Determine the value of y when x = 1
y = -10x - 1
y = -10(1) - 1
y = -10 - 1
y = -11
Hence, the complete table is
x y
-5 49
-1 9
0 -1
1 -11
Learn more on Solving equation here: https://brainly.com/question/9352327
#SPJ1
Priya and Elena are members of the Science Club. Last week, they observed two families of birds nesting in the woods. The members were divided into two equal groups; each group studied one family. Every day after school for 5 days, each group hiked to visit their bird family. Priya’s group hiked 2.5 fewer kilometers each day than Elena’s group. If Priya’s group hiked a total of 19 kilometers last week, how far did Elena’s group hike each day?
Define a variable to represent the unknown
Use your variable to write an equation that represents the scenario.
Using proportions, it is found that Elena's group hiked 6.3 km each day.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the measures using a rule of three, that can be either direct or inverse, deriving from proportional relationships.
Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.
For this problem, we have that Priya's group hiked 19 kilometers in 5 days, hence the daily amount is found applying the proportion as follows:
19/5 = 3.8 km a day.
Elena's group hiked 2.5 km a day more, hence:
3.8 + 2.5 = 6.3 km a day.
Elena's group hiked 6.3 km each day.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
In Exercises 6-8, poing M is between L and N on line LN. Write an eqeustion in tems fo x. LM=x squared, MN = x squared + 9x LN =56
The equation expressed in terms of x is x = √47/ 2
What is a line segment?A line segment can be defined as the part of a line that connects two points which are considered to be its endpoints.
From the information given, we have that LN is a line with segments LM, MN and LN and M is the midpoint between L and N
Now, the equation is expressed as;
LM + MN = LN
Where;
LM = x²MN = x² + 9LN = 56Substitute the values
x² + x² + 9x = 56
collect like terms
2x² = 56 - 9
2x² = 47
To make 'x' the subject of formula
x² = 47/ 2
Find the square root of both sides
x = √47/ 2
Thus, the equation expressed in terms of x is x = √47/ 2
Learn more about line segment here:
https://brainly.com/question/17374569
#SPJ1
How many gallons did the tub start with?
Answer:
15g i think sorry if i am rong but i tryed
Step-by-step explanation:
An object is moving at a speed of 5 kilometers every 4.5 hours. Express this
speed in miles per minute. Round your answer to the nearest hundredth.
(1 km
0.621 mile)
Speed is 0.01 miles per minute.
we know speed is = distance/ time
since we need speed in miles per minute we need to convert km into miles.
and hours in minute.
distance= 5km
1km= 0.621371 miles
5km= 50.621371 miles = 3.10686 miles= 3.12 miles
1hour= 60 minutes
4.5 hour = 4.5×60 minutes=270 minutes
speed= distance in km/time in minutes=3.12 miles/270 minutes
speed = 0.012 miles per minute
speed is 0.01 miles per second.
To know more about speed
visit-:https://brainly.com/question/28224010
#SPJ9
Robel is unsure of how many nights he will stay in Los Angeles.
a) Write an equation that will allow Robel to calculate what his total cost will be if he is charged $52 as a one-time fee and the cost per night is $94.
b) What will be Robel’s total cost if he decides to stay 3 nights. Show all your work to justify your answer.
We need to know about
linear equation
to solve this problem. (a) The equation that will allow Robel to calculate what his total cost will be is 52+94n (b) Robal's total cost if he decides to stay 3 nights is $334
A
linear equation
is one that has
one or two variables
in it, the variables in a linear equation are linearly related to each other which means that the graph of such an equation is a straight line.
In part (a) it is said that Robel is charged $52 as a one time fee and the
cost per night
is $94, let us consider the
total cost to be t
and the
number of nights he stays be n,
then the equation for the total cost will be
t=52+94n
In part (b) we have to find out the total cost if he stays 3 nights, which means n=3,
substituting the value of n
in the equation for total cost
t=52+94x3=334
Therefore we found out that the
equation for Robel's total cost
is 52+94n and the total cost if he stays for 3 nights is $334.
Learn more about
linear equation
here:
https://brainly.com/question/9969879
#SPJ9
noel runs a shop that sells christmas trees. her supplier connie furr charges$80 forfor each real tree
The cost of 32 Christmas trees when Noel orders the trees is $2560.
How to calculate the cost?Based on the information, it should be noted that
Noel runs a shop that sells christmas trees and that her supplier Connie for charges $80 for each Christmas tree.
Therefore, the cost of 32 Christmas trees will be:
= Price of one Christmas tree × Number ordered
= $80 × 32.
= $2560
Therefore, the cost of 32 Christmas trees when Noel orders the trees is $2560.
Learn more about cost on;
brainly.com/question/25109150
#SPJ1
Noel runs a shop that sells christmas trees. Her supplier Connie for charges $80 for each Christmas tree. What is the cost of 32 Christmas trees?
Work out the equation of the line which has a gradient of ½ and passes through the point (4,2).
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\hspace{10em} \underset{gradient}{\stackrel{slope}{m}} ~=~ \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{ \cfrac{1}{2}}(x-\stackrel{x_1}{4}) \\\\\\ y - 2 = \cfrac{1}{2}x-2\implies y=\cfrac{1}{2}x[/tex]
The 53 term of the arithmetic sequence-12, -1, 10
Answer: 560
Step-by-step explanation: i had this exact question on OW
Answer:
a₅₃ = 560
Step-by-step explanation:
the nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = - 12 and d = a₂ - a₁ = - 1 - (- 12) = - 1 + 12 = 11 , then
a₅₃ = - 12 + (52 × 11) = - 12 + 572 = 560
a mechanic charges $150 per hour,plus the cost of parts to fix your car if the parts cost $257 write an equation to model the total cost use h as the variable for the number of hours in rakes the mechanic to fix your car and c as the cost
The Equation representing the charge to be to paid to mechanic is -
c = 150h + 257.
What is Equation modelling?Equation modelling is defined as a method for deriving a mathematical relation from a mathematical statement taking into consideration the variables defined and the relations between them.
Given is a mechanic who charges $150 per hour. He also charge the cost of parts to fix the car.
Assume that the mechanic worked for 'h' hours and 'c' represents the total cost of repair. Extra cost of parts is $257.
If the mechanic works for 'h' hours, then the money received by the mechanic will be → $150 x h.
The equation representing the above situation can be written as -
c = $150 x h + Extra parts charge.
c = 150h + 257
Therefore, equation representing the charge to be to paid to mechanic is - c = 150h + 257.
To solve more questions on Equation modelling, visit the link below-
https://brainly.com/question/3538643
#SPJ1
In a game experience, the level of monsters, L, is measured by the formula L= 250M E, where M=number of monsters and E=experience of monsters. Solve the formula for E
The formula for E is given as E = L/250M
According to the question we have been given that the level of monsters is measured by as follows
L = 250M E (1)
where , M = number of monsters
E = experience of monsters.
Now we need to find the formula for E. For that we will solve equation (1) for E .
L = 250M E
Dividing both the sides by 250M we get
L/250M = E
or, E = L/250M
Thus above is the equation or the formula for E.
Learn more about formula here : https://brainly.com/question/657646
#SPJ9
not tile A 10 x 12 plane
Answer:120
Step-by-step explanation:
so if its a 10x12 plane that would be 10 12 times so 10+10+10+10+10+10+10+10+10+10+10+10
or 12+12+12+12+12+12+12+12+12+12
A ball is thrown with an initial height of 4 feet with an initial velocity of 36 ft/s.
The values of t for which the ball's height is 16 feet are 1.84s and 0.41s
From the question, we are to determine all values of t for which the ball's height is 16 feet
From the given information,
The equation that represents the ball's height (in feet) after t second is
h = 4 + 36t - 16t²
To determine all values of t for which the balls height is 16 feet, we will put h = 16 in the equation
That is,
h = 4 + 36t - 16t² becomes
16 = 4 + 36t - 16t²
Rearranging
16t² - 36t + 16 - 4 = 0
16t² - 36t + 12 = 0
Divide through by 4
4t² - 9t + 3 = 0
Solve the quadratic equation using the general formula
t = [-b±√(b²-4ac)]/2a
a = 4, b = -9, c = 3
t = [-(-9)±√((-9)²- 4(4)(3))]/2(4)
t = [9±√(81- 48)]/8
t = [9±√(33)]/8
t = [9±5.74]/8
t = [9+5.74]/8 or [9-5.74]/8
t = 14.74/8 or 3.26/8
t = 1.84 or 0.41
Hence, the values of t for which the ball's height is 16 feet are 1.84s and 0.41s
Learn more on Solving equations here: https://brainly.com/question/8649555
#SPj1
There are 3 triangles and 15 circles. What is the simplest ratio of triangles to total shapes?
3:15=3/15
The numerator and the denominator can both be divided by 3.
so, it is 1/5 which is equal to 1:5.
The simplest ratio of triangles to total shapes is 1 : 6.
Given that, there are 3 triangles and 15 circles.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Here, total number of shapes
= 3+15
= 18
Now, ratio of triangles to total shapes is 3 : 18
So, the simplest form = 1 : 6
Hence, the simplest ratio of triangles to total shapes is 1 : 6.
To learn more about the ratio visit:
brainly.com/question/13419413.
#SPJ2
In the college there are 1400 male students and 1050 female students.
Select one:
O a. Absolute difference: 350
Relative difference: 3.3%
O b. Absolute difference: 350
Relative difference: 33.3%
O c. Absolute difference: -350
Relative difference: -25%
O d. Absolute difference: 350
Relative difference: 25%
Answer:
B.
Give me brainliest answer
I hope I could help
write ____ as a single power of 5
Answer:
[tex]5^{14/5}[/tex]
Step-by-step explanation:
[tex]\frac{5^3}{5^{1/5}} \\ \\ 5^{3-\frac{1}{5}} \\ \\ =5^{14/5}[/tex]
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=45(0.974)^x
Given function y =45(0.974)ˣ is a function of exponential decay and percentage rate of decrease is 2.6%.
What is an exponential function?The exponential function is an function f(x) = a(b)ˣ
a = initial amount when x= 0
b= base that is multiplied and it is greater than 0
And x is the variable in the exponent
When b> 1 , the values of this function goes up and up and then this function shows exponential growth.
When 0< b< 1, the values of this function becomes smaller as x increases then this function shows exponential decay.
And r is the percentage rate of change where b =r +1
Given function is y = f(x) = 45(0.974)ˣ
When we compare it with standard function f(x) = a(b)ˣ
we get a = 45 and b =0.974
As b is between 0 and 1 in this case, therefore this function is exponential decay.
b =r+ 1
therefore r = b-1 = 0.974-1 = -0.026
converting 0.026 to percentage we get -0.026*100= -2.6% ( negative sign shows decrease)
Therefore, we can say that the given function represents exponential decay function and rate of decrease is 2.6%
Also, Learn more about exponential functions from:
https://brainly.com/question/14355665
#SPJ1
Sue wrote a double fact. It has a sum less than 10 and greater than 4. The addends are each less than 5. What fact might she have written?
When Sue wrote a double fact. It has a sum less than 10 and greater than 4. The addends are each less than 5, the numbers that she wrote include 4+4 and 3+3.
How to illustrate the information?It is given that the sum is greater than 4 and smaller than 10.
If the sum is less than 10 and greater than 4 that limits you to 5,6,7,8,9
It should be noted that 5+5 is 10, and the sum has to be lower then 10.
The addends are less than 5 so it could be 4+4, 4+3, 4+2, 4+1
This shows that Sue might have written 5,6,7, or 8.
Therefore, the numbers are 3+3 and 4+4.
Learn more about addends on:
https://brainly.com/question/119858
#SPJ1
The scale on a map uses 1 cm to represent 10 km which proportion could be used to determine the number of kilometers represented by 8
The number of kilometers represented by 8cm is 80km.
According tot he question we have been the proportion of scaling on the map which is as follows:
1 cm : 10 km or it is also written as 1cm/10km
We need to find the number of kilometers represented by 8 cm
Let the number of kilometers that we need to find be x km. Mathematically the proportion can be written as
8 cm : x km or it is written as 8cm / x km
Also both the proportion will be equivalent. Therefore, the proportion is equal to
1/10 = 8/x
we will solve this for x, we get
x = 8*10
x = 80 km
Hence the number of kilometers represented by 8cm is 80 km
Learn more about proportion here : https://brainly.com/question/19994681
#SPJ9
hello can someone please explain?
A. A car can go 33 miles on one gallon of gas. Gas costs $4.20 per gallon. How far can the car go for $25.00?
Set up a calculation with units to answer this question.
Type a 1 in any number boxes you don't need. Choose "no unit" for any unit pulldowns you don't need.
Answer:
199 miles
Step-by-step explanation:
if you multiply 33 in 6 places it gives 198 then you plus 1 to get $25.00
GOOD RIGHT please rate
solve the literal equation 3y-6x=-2 for y
Answer:
y = -⅔+2x
Step-by-step explanation:
Hope this helps!!
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The equation in slope-intercept form is given as,
y = mx + c
Where m is the slope and c is the y-intercept.
The equation for y is y = 2x - 2/3
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 4 is an equation.
2x = 4x is an equation
We have,
3y - 6x = -2
Add 6x on both sides.
3y = -2 + 6x
3y = 6x - 2
Divide both sides by 3.
y = (6x - 2)/3
y = 2x - 2/3
This is in the form of an equation in slope-intercept form.
The equation in slope-intercept form is given as,
y = mx + c
Where m is the slope and c is the y-intercept.
Thus,
The equation for y is y = 2x - 2/3
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
-2x^2+4x=5
using the Quadratic formula, the equation needs to be in standard form first. Then label a, b and c and plug it into the quadratic formula and simplify using the order of operations. I
The solution by using the quadratic formula is,
x = 4 + 2√6 i / 4 and x = 4 - 2√6 i / 4
What is Quadratic formula?
To solve a quadratic equation ax²+ bx + c = 0 , we use the quadratic formula,
x = - b ± √b² - 4ac / 2a
The given expression is;
- 2x² + 4x = 5
Now, The given equation is solve by using Quadratic formula as;
- 2x² + 4x = 5
Move terms to the left side
- 2x² + 4x - 5 = 0
- ( 2x² - 4x + 5 ) = 0
2x² - 4x + 5 = 0
Compare with quadratic equation ax²+ bx + c = 0 we get;
a = 2, b = -4, c = 5
Since, Quadratic formula is,
x = - b ± √b² - 4ac / 2a
Hence, Substituting all the values of a, b and c in quadratic formula we get;
x = - (-4) ± √(-4)² - 4*2*5 / 2*2
x = 4 ± √16 - 40 / 4
x = 4 ± √-24 / 4
x = 4 ± 2√-6 / 4 ( Since, i = √-1 )
x = 4 + 2√6 i / 4 and x = 4 - 2√6 i / 4
So, The solution by using the quadratic formula is,
x = 4 + 2√6 i / 4 and x = 4 - 2√6 i / 4
Learn more about the quadratic formula visit;
https://brainly.com/question/8649555
#SPJ1