[tex] \large \bf \implies{ {x}^{2} + 3x - 10}[/tex]
Step-by-step explanation:[tex](x + 5)(x - 2)[/tex]
Step 1) : Using the identity
[tex] \bf \longrightarrow{(x+a)(x+b) = x² + (a+b)x + ab}[/tex]
Step 2) : Simplify it with using the identity told earlier in step 1) .
[tex] \bf \longrightarrow(x + 5)(x - 2) \\ \\ \bf \longrightarrow{x}^{2} + (5 + ( - 2))x + (5)( - 2) \\ \\\bf \longrightarrow {x}^{2} + (5 - 2)x + ( - 10) \\ \\\bf \longrightarrow {x}^{2} +3x - 10[/tex]
Step 3) : We have got the answer in step 2) .
[tex] \large\bf \longrightarrow { {x}^{2} + 3x - 10}[/tex]
if point c is between points A and B then AC + CB=
Answer:
answer is: AB
do you want explanation?
The entire graph of the function g is shown in the figure below.
Write the domain and range of g
as intervals or unions of intervals. What is the domain and range?
The domain and range of the given graph is [tex][-3,-2) \sqcup (-1,5][/tex] and [tex][-5,4)[/tex] respectively .
The set of all possible values that qualify as inputs to a function is called the function's domain. The set of all output of the function is called range after replacing the scope, or domain, of the function.From the graph , we can see that the left most point is when x = -3 and this point is closed in endpoint, so we will include this value of x in the domain.
Whereas its another point is on x = -2 which is not filled up so , we will not consider this value of x in the domain. In the interval , domain can be represented by [tex]-3\leq x < -2[/tex] .This interval can be written as [tex][-3,-2)[/tex]
Now , the right most point is when x = 5 which is filled up so we will include this value of x in the domain. Whereas it's another endpoint is at x = - 1 , we will not consider this value of x in the domain as it is not filled up. In the interval , domain can be represented by [tex]-1 < x\leq 5[/tex] .This interval can be written as [tex](-1,5][/tex] .
In order to get the full domain of the function we will use union symbol
[tex][-3,-2) \sqcup (-1,5][/tex]
For the range , we will observe the values of y . The lowest point is when y = -5 which is filled up so we will include this value of y in the range.
Whereas the highest point is when y = 4 which is not filled up so , we will not consider this value of y in the range . In the interval , range can be represented by [tex]-5\leq y < 4[/tex] .Since there are no gaps in the range, we don't use any union symbols here and hence range is [tex][-5,4)[/tex]
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A recipe for one loaf of bread uses 2 cups of flour, 12
tablespoons of water, and 1 teaspoon of salt.
Complete the table to show the quantities needed to
make multiple loaves of bread,
Loaves
J
#11
4
Flour (cups)
2
Water (tbsp)
12
48
Salt (isp.)
1
Answer:
Flour 4) 8
Water 2) 24
Salt 2 - 4) 2 and 4
[tex]\bold{Table}[/tex] [tex]\bold{Rule:}[/tex]
[tex]x \times y = z[/tex]
[tex]\mathrm{where~"z"~is~the~next~value}[/tex]
A package contains 12 resistors, 3 of which are defective. If 4 are selected, find the probability of getting
a) 0 defective resistors
b) 1 defective resistor
c) 3 defective resistors
If a package contains 12 resistors, 3 of which are defective. If 4 are selected, the probability of getting
a) 0 defective resistors: 0.3164
b) 1 defective resistor: 0.4219
c) 3 defective resistor: 0.0469
ProbabilityFirst step is to calculate the probability for a defective resistor and non-defective resistor:
Probability=3/12
Probability =0.25
Non-defective resistor:
Probability=(1-0.25)
Probability=0.75
Now let find the probabilities for defective resistors from 0 to 3
P(0)=1(0.75)^4 ×(0.25)^0
P(0)=0.3164
P(1)=4(0.75)^3× (0.25)^1
P(1)=0.4219
P(2)=6(0.75)^2× (0.25)^2
P(2)=0.2109
P(3)=4(0.75)^0×(0.25)^3
P(3)=0.0469
P(4)=1(0.75)^0 × (0.25)^4
P(4)=0.0039
Hence,
a. P(0)=0.3164
b. P(1)=0.4219
c. P(3)=0.0469
Therefore If a package contains 12 resistors, 3 of which are defective. If 4 are selected, the probability of getting 0 defective resistors: 0.3164, 1 defective resistor: 0.4219, 3 defective resistor: 0.0469.
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17[tex]\leq -10y-3\leq 97[/tex]
The solution for the given inequality is -10 < y ≤ -2.
InequalityIt is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).
The solutions for inequalities can be given by: a graph in a number line or numbers.
The question gives:
17 ≤ -10y -3 ≤ 97
For solving this exercide, you should write the previous compound inequality as:
17 ≤ -10y -3 (1)
-10y -3 ≤ 97 (2)
For inequality 117 ≤ - 10y -3
10y ≤ -3 -17
10y ≤ -20
y ≤ -20/10
y ≤ -2
For inequality 2-10y -3 ≤ 97
-10y ≤ 97 +3
-10y ≤ 100 *(-1)
10y ≥ - 100
y ≥ - 100/10
y ≥ - 10
Combining the intervals, you have -10 < y ≤ -2.
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PLEASE HELP NEED IT QUICK
Answer:
(1) 125
Step-by-step explanation:
I calculated it, I can guarantee that this is the correct answer.
Use the associative property of addition to rewrite (9+12)+20
Answer:
41
Step-by-step explanation:
Use the associative property of addition to rewrite 9+12+20 .
20+(11+5
Is a way to rewrite the associative property of 9+12(+20)
i need help getting the c0m out my parents
Answer:
what???
Step-by-step explanation:
Answer:AYO?????
Step-by-step explanation:Nahhhh Jit Trippin
Determine the value of x.
Answer:
C
Step-by-step explanation:
5 = sin(30) × x = 0.5 × x
x = 5 / 0.5 = 10
find the value of y
Answer:
y = 11°
Step-by-step explanation:
Since it is a right angle, subtract 28 from 90 which equals 62.
Then, use the equation to find that 11 × 6 = 66, subtract 4, and it equals 62 too.
Draw a modle and write to represent 4 times as many as 3 is 12.
Draw a model and write to represent 4 times as many as 3 is 12.
The required equation is 4×3=12 and the required model is shown in figure.
The model for the provided question is shown in the figure, where there are 3 rows and 4 blocks in a row we get 12 blocks total.
Consider the provided information.
We need to draw a model and write an equation to represent 4 times as many as 3 is 12.
4 times as many as 3 can be written as:
4×3
This expression is equal to 12. Thus the combined equation is:
4×3=12
Therefore, the equation represents 4×3=12.
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Which expression is equivalent to -51-(-60)?
A -51 + 60
B -60+51
C -51 -60
D -60 + (-51)
stephanie added 20 more apps to get tablet, making the total more than 61. How many apps were originally on the tablet
In a case whereby stephanie added 20 more apps to get tablet, making the total more than 61 the number of apps that were originally on the tablet is [tex]a +20 > 61[/tex].
What is inequality?Inequality can be described as the statement that do follow some orderly relationship, it should be noted that this usually consist of greater than as well as greater than or equal to.
As regards the question, we will have a>61-20 then a>41
Therefore, In a case whereby stephanie added 20 more apps to get tablet, making the total more than 61 the number of apps that were originally on the tablet is [tex]a +20 > 61[/tex].
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NOTE; This is a complete question , no given option , even on internet.
A package of 6 pairs of insulated socks costs $ 47.94. What is the unit price of the pairs of socks?
The unit price of the pair of socks is $7.99
How to calculate the unit price ?
Unit price can be described as the price of one item. In this case scenario, we are looking for the unit price of a pair of socks.
The unit price can be calculated as follows
6 pair=47.94
1 pair = x
Cross multiply both sides
6x= 47.94
Divide both sides by the coefficient of x which is 6
6x/6= 47.94/6
x= 7.99
Hence the unit price is $7.99
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The height of a triangle is 4 ft less than the base x. The area is 126ft^2 find the dimensions of the triangle
The dimension of the triangle are base = 18 ft , height = 14 ft .
The area of a triangle is defined as the total area bounded by the three sides of a given triangle. It's basically equal to half the base multiplied by the height which is given by [tex]A=\frac{1}{2} \times b \times h[/tex] ..(1)It is given that height of a triangle is 4 ft less than the base x which can be represented as height = x - 4 ....(2) and base = x
Putting above values in equation (1) , we get
[tex]126=\frac{1}{2} \times(x-4)\times x\\252=x(x-4)\\252=x^2-4x\\x^2-4x-252=0[/tex]
On factorizing , we get
[tex]x^2-(18x-14x)-252=0\\(x^2-18x)+(14x-252)=0\\x(x-18)+14(x-18)=0\\(x+14)(x-18)=0[/tex]
On equating it with zero , we get
[tex]x+14=0\\x=-14[/tex]
as length cannot be in negative so , we will not consider this solution.
[tex]x-18=0\\x=18[/tex]
Using equation (2)
Height will be = 18 - 4 = 14 ft.
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An angle measure of 134.26° is converted to DMS notation as what
Angle measurement of 134.26° becomes 134° 15' 36" in DMS notation.
What is DMS notation?The standard way to express fractional parts of a degree is in decimal form or in minutes and seconds. The units of a degree are a minute (') and a second (′′). For degrees, minutes, and seconds, this form is frequently referred to as the DMS Form. Use the decimal's whole number portion for the degrees.Divide the final decimal by 60 to get the number of minutes. Use the answer's whole number component as minutes.The new decimal that is left after multiplying by 60 is the seconds.So, an angle measure of 134.26° is converted to DMS notation as:
= 134° 15' 36"(Refer the image given below for calculation)
Therefore, the angle measurement of 134.26° becomes 134° 15' 36" in DMS notation.
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Use the Venn diagram shown to list the set (An Bn C)' in roster form.
U
3
6
20
2
10
11
7
13
19
14
8
9
Answer:
A=(2,3,6,10,11)
B=(8,9,14)
C=(19)
(AnBnC) = {7,13}
Step-by-step explanation:
So, basically (n) means intersection which says that the elements of A, B, C being common come under
The cost of purple dye has been increasing over the last few months, and Robyn uses this dye as part of her tie dye scarf business. She’s worried that it will continue to rise to the point where she no longer makes a profit on her scarf sales. She currently has a 20% profit margin ([price - unit costs]/price) and dye is currently 60% of unit costs. What is the lowest percentage increase in the cost of dye that would make Robyn’s scarves unprofitable?
The lowest percentage increase in the cost of dye that would make the scarves unprofitable is 42%
How to calculate the percentage?(Price- Unit Cost)/Price= 20% or 0.2
Price- Unit Cost= 0.2 Price
0.8 Price = Unit Cost
Let Unit Cost be x
Price = x/0.8= 1.25x
Dye is 60% of unit costs= 0.6x
Cost of remaining material= 1 - 0.6x = 0.4x
Unit Cost= Cost of Dye+ Cost of remaining material
So, in order to become unprofitable, Unit Cost must be 1.25x
Therefore
1.25x= Maximum cost of dye+ 0.4x
Maximum Cost of Dye = (1.25-0.4)x = 0.85x
Percentage change in cost of dye= {(0.85x-0.6x)/0.6x}*100= 41.66 or 42%
Therefore, theowest percentage increase in the cost of dye that would make the scarves unprofitable is 42%.
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What type of Solution is the product of 2x+1=2x+2
Answer: no solution
Step-by-step explanation:
Romina buys a bag of cookies that contains 8 chocolate chip cookies, 4 peanut butter cookies, 6 sugar cookies and 7 oatmeal cookies. What is the probability that Romina randomly selects an oatmeal cookie from the bag, eats it, then randomly selects a sugar cookie?
The probability that Romina randomly selects an oatmeal cookie from the bag, eats it, then randomly selects a sugar cookie is 7/100.
What is the probability?Probability determines the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0. The more likely the event is to happen, the closer the probability value would be to 1.
The probability of picking an oatmeal cookie then a sugar cookie = (number of oatmeal cookies / total number of cookies) x (number of sugar cookies / total number of cookies -1)
Total number of cookies = 8 + 4 + 6 + 7 = 25
The probability of picking an oatmeal cookie then a sugar cookie = (7/25) x (6/24) = 7/100
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Please help!
You had to take your car to the shop for a weird noise. The mechanic charges a flat rate of $100 for looking at your car and $50 an hour to fix the problem. Write an algebraic expression (equation) where P represents how much you will
have to pay and his the number of hours it takes to get your car foxed.
Answer: P = 50x + 100
Step-by-step explanation: P is the total amount that you pay, 50x is the amount per hour plus the flat rate of 100 that you are guaranteed to pay.
Hope this helps.
The equation of the amount of pay and the number of hours it takes to get your car fixed will be P = 50x + 100.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
You had to take your car to the shop for a weird noise. The mechanic charges a flat rate of $100 for looking at your car and $50 an hour to fix the problem.
Let P represents the amount of pay and x be the number of hours. Then the linear equation is given as,
P = 50x + 100
The equation of the amount of pay and the number of hours it takes to get your car fixed will be P = 50x + 100.
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10000-5-4-3-2-9-8-5-10
Answer:
9954
Step-by-step explanation:
ca1cu14t0r
Answer:
The answer for this question is 9,954.
Hope it's helpful :-)
If so, please mark me as brain-list :-)
1. (1,-1) parallel to y=2/5x-3
2. (-3,1) perpendicular to y= -2/5x - 4
STEP BY STEP PLEASE
The answers are :
1. The equation of line parallel to y = [tex]\frac{2}{5}[/tex] x - 3 will be y = [tex]\frac{2}{5}[/tex] x - [tex]\frac{7}{5}[/tex] .
2. The equation of line perpendicular to y = - [tex]\frac{2}{5}[/tex] x - 4 will be y = [tex]\frac{5}{2}[/tex] x + [tex]\frac{13}{2}[/tex] .
What is the slope intercept form of a line ?
The equation of line that can be written as y = mx + c, where m is the slope and c is the line's y-intercept, is known as a slope intercept form.
1.
It is given that equation is : y = 2/5x - 3.
So , the slope here is 2/5 and a parallel line will have the same slope.
We know that the slope intercept form of a line is :
y = mx + c
Put , slope(m) = 2/5 in above equation.
Given , (1,-1) i.e., x = 1 and y = -1
Now we substitute these values to find value of c.
-1 = 2/5(1) + c
-1 = 2/5 + c
-1 - 2/5 = c
(-5 - 2)/5 = c
-7/5 = c
Putting m = 2/5 and c = -7/5 , we get :
So, the equation of parallel line is :
y = [tex]\frac{2}{5}[/tex] x - [tex]\frac{7}{5}[/tex]
2.
We know that the product of the slope of two perpendicular lines is -1.
Given that equation is : y = -2/5x - 4 i.e., slope = -2/5
So , slope of a line perpendicular to this line is -1/(-2/5) = 5/2
And this line passes through the point (-3,1).
Equation of a line that passes through a point (x1 , y1) and slope (m) is :
(y-y1) = m (x-x1)
Here ;
x1 = -3 , y1 = 1 and m = 5/2
So , the equation of perpendicular line will be :
(y - 1) = [tex]\frac{5}{2}[/tex] (x - (-3))
(y - 1) = [tex]\frac{5}{2}[/tex] (x + 3)
y - 1 = [tex]\frac{5}{2}[/tex] x + [tex]\frac{15}{2}[/tex]
y = [tex]\frac{5}{2}[/tex] x + [tex]\frac{15}{2}[/tex] + 1
y = [tex]\frac{5}{2}[/tex] x + [tex]\frac{13}{2}[/tex]
Therefore , the answers are :
1. The equation of line parallel to y = [tex]\frac{2}{5}[/tex] x - 3 will be y = [tex]\frac{2}{5}[/tex] x - [tex]\frac{7}{5}[/tex] .
2. The equation of line perpendicular to y = - [tex]\frac{2}{5}[/tex] x - 4 will be y = [tex]\frac{5}{2}[/tex] x + [tex]\frac{13}{2}[/tex] .
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6 of 10
Factorise
x² - 12x - 220
After factorization, the factors are (x - 22) (x + 10).
What is factorization?In mathematics, factorization is the process of dividing a large number into smaller numbers that, when multiplied together, yield the original number. Factorization occurs when you divide a number into its factors or divisors. For example, the factorization of the number 12 could be 3 times 4. The Greatest common factor (GCF), the Grouping method, the difference in two squares, and the sum or difference in cubes are the four main types of factoring.So, x² - 12x - 220:
x² - 12x - 220x² - x( 22 - 10 ) - 220x² - 22x + 10x - 220x(x - 22) + 10(x - 22)Factors: (x - 22) (x + 10)Therefore, the factors are (x - 22) (x + 10).
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Solve.
13. A rectangular picture frame has the dimensions shown in
the figure. Write a polynomial that represents the perimeter
of the frame.
5x-2
3x+1
Answer:
(5x-2)^2+(3x+1)^2
Step-by-step explanation:
If Dr. I.M. smart mixes 30mL of acid into 50 ml of a 20% acid solution, what is the quantity and concentration of the final solution?
the final solution is ______ mL with ______ % concentration
thank you so much for the help!
Answer:
Step-by-step explanation:80 hoka nintch
Which is the best estimate of
28
×
0
.
64
?
Answer:
The correct answer is 17.92
Step-by-step explanation:
28×0.64 = 17.92
The numbers below are what you could round to for your answer depending on what you answer choices are:
Whole number: 18
Ten's place: 17.9
Hundred's place: 17.92
Please Solve this! I will try to mark brainliest if good answer.
The temperature in degree Celsius when the temperature is 50°F is; C = 10°C
How to change the subject of the formula?
We are given the formula for converting temperature from degree Celsius to degree Fahrenheit as;
F = ⁹/₅C + 32
Making C the subject;
⁹/₅C = F - 32
Multiply through by 5/9 to get;
C = ⁵/₉F - 32(5/9)
We are told that the temperature is 50°F. Thus;
C = ⁵/₉(50) - 32(5/9)
C = ⁵/₉ * 18
C = 10°C
Thus, the temperature in degree Celsius when the temperature is 50°F is; C = 10°C
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Graph the image of the figure using the transformation given.
Captionless Image
last 3 pics are the options
The reflection of triangle WXY across the x axis gives the points W'(0, 1), X'(3, -3) and Y'(2, 1).
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, rotation, translation and dilation.
The reflection of a point across the x axis is given by the rule (x, y) ⇒ (x, -y). Triangle WXY have endpoints at X(3, 3), Y(2, -1) and W(0, -1).
The reflection of triangle WXY across the x axis gives the points W'(0, 1), X'(3, -3) and Y'(2, 1).
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can someone give me an answer ??
Answer:
150, 175, 4
Step-by-step explanation:
Multiply the amount of ammonia by 50 to get the amount of distilled water.
Conversely, divide the amount of distilled water by 50 to get the amount of ammonia.