Answer:
a = 20 and b = 21
Step-by-step explanation:
Given:
2a-3b = -23
a and b are consecutive
Find:
a and b
Computation:
a = b - 1
So,
2a-3b = -23
2(b-1)-3b = -23
2b - 2 - 3b = -23
-b = -21
b = 21
So
a = b - 1
a = 21-1
a = 20
Write an equation in point slope form of the line that passes through the point (2,-8) and had a slope of 4
The equation of a line in point-slope form is (y + 8) = 4(x - 2).
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, A line passes through the point (x₁, y₁) ⇒ (2,-8) and had a slope of 4.
We know the equation of a line in point-slope form is (y - y₁) = m(x - x₁).
∴ The equation of this line is (y + 8) = 4(x - 2).
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Find the average rate of change of the function f(x)=(3/-3x-5), on the interval x ∈ [0,3]
Answer:
The average rate of change on the given interval is 9/70
Step-by-step explanation:
Here, we are to find the average rate of change of the function on the given interval
We proceed as follows;
on an interval [a,b] , we can find the average rate of change using the formula;
f(b) - f(a)/b-a
From the question;
a = 0
b = 3
f(0) = -3/5
f(3) = -3/14
Substituting the values, we have;
-3/14-(-3/5)/3-0
= 3/5-3/14/3
= (42-15)/70/3
= 27/70/3
= 27/70 * 1/3 = 9/70
.
y = 2x - 4
3y + 21x = 15
Answer:
( 1 , -2 )
Step-by-step explanation:
(x ,y)
substitute the given number of y value
slove equation for x
sub the given number of x value
slove equation for y
ordered pair
check the solution
simplify the equation
the ordered pair is the solution
The 7 dwarfs go to work whistling in a different order each day. How many days can they go without repeating an order?
Answer:
My thought is 7, but I may be very well wrong.
Step-by-step explanation:
x3 - 7x,
f(x) = 8,
2x + 3,
x < -3
- 3 < x < 3
x > 3
Answer:
I did the math and I believe that answer is : -12x4-5x
Step-by-step explanation:
23, f(x) = 4x- 25, f(x) = x2-3x + 10 26. 27. f(x) 3x2 29, f(x) = 2x3-5x2 + 4x-1 30. f(x) = x3-3x2 31, f(x)--2x3-8x2 + 6x + 36 28, f(x) = x3-x2-x + 1 For each function use the leading coefficient test to determine whether y → oo or y →-oo as x → oo. 33, y=2x3-x2 + 9 35. y =-3x4 + 5 34. y=-3x + 7 36, y = 6x4-5x2-1 38, y = 5x-7x4 37. y=x-3x3 For each function use the leading coefficient test to determine whether y → or y →
What is the point slope form of a line that has a slope of five and passes through the points 3,-4
Answer:
it would be, 5x-y=-19
Step-by-step explanation:
Use equation y-y1=m(x-x1)
algebra 1
what are the answers for these :
1. Y is greater than 3 times x -4
2. Y is less than 2 times x + 5
3. Y is greater than or equal to -2 times x minus 6
i need help bad please and thank you !
Answer:
1.3x-4∠Y
2.y∠2x+5
3.y≥-2x-6
Which letter represents where the number 29 lies?
A)А
B)B
C)C С
D)D
Answer:
Step-by-step explanation:
b IS THE ANSWER.
Answer:
B
Step-by-step explanation:
Need help on number 5!
a) Sarah hires a pedalo.
She has to return it by 4 pm.
The time is 3:35 pm.
How many minutes has she got left?
Help!! I am going to fail my class!!! I will mark you brainiest!
Between 1970 and 2000, the population of a city decreased by approximately 2% each year. In 1970 there were 600,000 people. What was the population in 2000? Write an exponential decay function and solve showing your work.
Answer:
600,000(.90) 327,290
Step-by-step explanation:
find the sum of the first 20 terms in the series. 6+3+3/2+3/4...
Answer:
6+3+3/2+3/4
=9+3/2+3/4
=
21/2+3/4
=
45/4
(Decimal: 11.25)
Step-by-step explanation:
a man buys a car for 80000 Rs 20,000 more for repairing he sells it for rupees 125000 find its gain
Please help me on this
Answer:
First choice
Step-by-step explanation:
How do you do this one I tried all ways and it didn’t work
Answer:
Well, to start the angle supplementary to 94° is 86°.
86°+20°=106°
180°-106°=74°
x=74°
Step-by-step explanation:
Sorry if it's wrong
do you like my drawings
Answer:
They won't load for me
Step-by-step explanation:
Answer:
Dangggg the best I have seen
Step-by-step explanation:
but this is better
Subtract. Write your answer in the box below.
(22 -6x +9)-2(22-3x+1)
Answer:
-15
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Expression
(22 - 6x + 9) - 2(22 - 3x + 1)
Step 2: Simplify
Distribute -2: 22 - 6x + 9 - 44 + 6x - 2Combine like terms (x): 22 + 9 - 44 - 2Combine like terms (Z): -15Answer:
-15
Step-by-step explanation:
Can someone please help me figure this out (trig) (pre calc)
Answer:
1. x = 1.5 rpm
2. x ≈ 0.8182 mi/hr
3. x = 6.6 feet
4. x = 4224 rpm
5. x = 390 rpm
Step-by-step explanation:
The relationship between angular speed and linear speed is given as follows;
Angular speed, ω = Linear speed, v/(Radius, r)
Therefore, we have;
1. When v = 12 cm/min = r = 8 cm , ω = 12/8 = 1.5 rpm
2. When, ω = 4 rpm, and r = 18 feet, v = 4 × 18 = 72 feet/min ≈ 0.8182 mi/hr
3. When, ω = 800 rpm, and v = 60 mi/hr = 1 mi/min, r = x = 1/800 miles = 6.6 feet
4. When v = 60 mi/hr = 63,360 mi/min, r = 15 in , ω = 63360/15 = 4224 rpm
5. When v = 13 in/sec = 780 in/min, r = 2 in, ω = 780/2 = 390 rpm
plz help i will report if your not trying to answer
Answer:
number 5 is 1.24 x 10 (3)
number 6 is 1.53 x 10 (-4)
hoped that helped:)
Step-by-step explanation:
Solve for s
2s = 6t+8w
Answer:
s = 3t + 4w
Step-by-step explanation:
2s = 6t + 8w
s = 3t + 4w
Answer:
s = 3t+4w
Step-by-step explanation:
2s = 6t+8w
s = (6t+8w) ÷ 2
(6t÷2=3t, 8w÷2=4w)
s = 3t + 4w
please help I suck at math: solve the equation 3x+2=x+4(x+2)
Answer:
-3
Step-by-step explanation:
3x+2=x+4x+8
3x+2=5x+8
2=2x+8
-6=2x
-3=x
Help pleaseeee I’ll give 5 stars and the brain thing please
Answer:60 is the answer hope that helps
Step-by-step explanation:
x+2/2x-6=3/8 solve using multiplication property of equality
The solution to the equation given as x+2/2x-6 = 3/8 is x = -34/5
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to solve using multiplication property of equality?The equation is given as
x+2/2x-6=3/8
Apply the multiplication property of equality.
So, we have
8(x + 2) = 3(x - 6)
Open the brackets
8x + 16 = 3x - 18
Collect the like terms
5x = -34
Divide both sides by 5
x = -34/5
Hence, the solution to the equation given as x+2/2x-6 = 3/8 is x = -34/5
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To solve the system of equations below, Lisa isolated the variable y in the first
equation and then substituted it into the second equation. What was the
resulting equation?
[2y = 6x
[x² + y = 28
OA. x²-3x = 28
B. x² + 3x = 28
OC. 9x² + 3x = 28
OD. 4x² = 28
C
The resulting equation after substitution in system of equations :2y = 6x , x² + y = 28 will be option B : x^2 + 3x = 28
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
The given system of equation are :
2y = 6x.....(1)
[x² + y = 28.........(2)
also, Lisa isolated the variable y in the first equation and then substituted it into the second equation that is :
she substitute y = 3x in second equation :
x^2 + y =28
x^2 + 3x = 28
Therefore, the resulting equation after substitution will be option B : x^2 + 3x = 28
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HELPPPPPPPPPPPP MEEEEEEEEE PLZZZZZZZZZZ it is due soon:'(((((((((( if you answer it correctly ill give you bfrainly
Answer:
y = 65x + 250
Step-by-step explanation:
Let the linear equation representing the relation between total pay and number of computers sold be,
y = mx + c
Here, m = commission on every computer sold = slope of the linear function
c = weekly salary
y = total pay
x = number of computer sold each week
Since, slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table attached,
Slope of the line passing through (4, 510) and (6, 640),
m = [tex]\frac{640-510}{6-4}[/tex]
= 65
Equation of the line will be,
y = 65x + c
Since, this line passes through (4, 510),
510 = 65(4) + c
c = 510 - 260
c = 250
Therefore, equation of the line will be,
y = 65x + 250
Which function is represented by the graph?
9514 1404 393
Answer:
f(x) = -2|x| +1
Step-by-step explanation:
The vertical translation is 1 unit upward, and there is no horizontal translation. So, the function will be something of the form ...
f(x) = a|x| +1
The slopes of the lines have a rise/run with a magnitude of 2/1, so the value of 'a' will have a magnitude of 2. The appropriate choice is ...
f(x) = -2|x| +1
Which of the terms given can you write in the blank box so that the
equation will have infinitely many solutions?
4x – 36=(blank) (x-9)
-2,-5,-8,-11 41st term
Answer:
-122
Step-by-step explanation:
The common difference is
-5-(-2)
-3
So
a+(n-1)d
-2+(41-1)-3
-2+(-120)
-122
What is this equation in slope-intercept form of the line the past point to (2,-2) and is perpendicular to the liner represented by y=2/5 X +2
Answer:
y = -5/2x-2
Step-by-step explanation:
find the slope of the line passing through the points (-9, -6) and (-4, 5)
Answer:
11/5 slope
Step-by-step explanation:
5-(-6) -4-(-9)
11/ 5