SIMPLIFY THIS EXPRESSION:
5(7 + 3x) - 12

Step-by-step explanation:

Given the following expression;

Math Game: M(d)=x^2-9x-10

Reading Game: R(d)=2x+10

x is the number of days since the games went on sale

In order to determine after how many days the revenue for each game wil be the same, we will equate M(d) to R(d)

M(d) = R(d)

x^2-9x-10  = 2x+10

x^2-9x-10 -2x-10 = 0

x^2-11x-20 = 0

factorize

x = 11±√121-4(-20)/2

x = 11±√121+80/2

x = 11±√201/2

x = 11±37.16/2

x = 11+37.16/2

x = 48.16/2

x = 24.06

Hence the revenue for each game will be the same after 24 days

It takes about 13 days for the revenue for each game the same.

Revenue is the amount of money made from selling a particular amount of products.

Given that the revenue is given by:

Math Game: M(d)=x²-9x-10

Reading Game: R(d)=2x+10

For both games to have the same revenue, hence:

M(d) = R(d)

x² - 9x - 10 = 2x + 10

x² - 11x - 20 = 0

x = -1.6 or x = 12.6

Since the number of days cannot be negative, hence it takes about 13 days for the revenue for each game the same.

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Answer:

x = 32°

y = 17°

Step-by-step explanation:

Let's look at the bottom triangle since it has two angles.

62° + 75° = 137°

180° - 137° = 43°

The missing angle measure is 43°. Since the two angles make up a straight line,

(4x + 9)° + 43° = 180

4x + 52° = 180°

4x = 128°

x = 32°

The angle measuring 62° is a vertical angle so the angle opposite it is also 62°. The missing angle for that triangle would 40° because 180° - 140° = 40°.

62° + 40° = 102°

180° - 102° = 78°

(5y - 7)° = 78°

5y = 85°

y = 17°

Hope that helps.

Answer:

[tex] y - 2 = -3(x - 2) [/tex]

Step-by-step explanation:

The equation of the line in point-slope form is given by the formula, [tex] y - b = m(x - a) [/tex], where,

(a, b) = coordinates of a point on the line.

[tex] m = slope = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Given that after buying 2 lattes, she has $2 left, this represents a point on the line which is (a, b) = (2, 2). That is, when x = 2 lattes, y = $2.

Let's find the slope using the point (2, 2) and any other point on the line, say at x = 1, when y = 5, that's (1, 5).

[tex] m = slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - 2}{1 - 2} [/tex]

[tex] = \frac{3}{-1} [/tex]

[tex] m = slope = -3 [/tex]

Plug m = -3, a = 2, and b = 2 into point-slope form.

[tex] y - b = m(x - a) [/tex]

[tex] y - 2 = -3(x - 2) [/tex]

Answer:

They got 12 by multiplying 3 × 4

Step-by-step explanation:

They used distributive property to multiply the 3 by each number in the parentheses

3 × x/3 = 1x = x

3 × 4 = 12

x + 12 = 6 × 3

They mutliplied 6 × 3 to get 18

x + 12 = 18

They then subtracted both sides by 12 to isolate the variable

x + 12 - 12 = 18 - 12

x = 6

Answer:

hope this helps! lmk if you still dont understand it!

:)

Step-by-step explanation:

you do 3*4 which gives you 12 and 3*x/3, but you should keep it as x

6*3 is 18

x+12=18 (solve for x)

-12=-12

x=6

check the answer:

3*(6/3+4)=6*3

3(2+4)=6*3

6+12=6*3

18=18

Answer: 1, 3, 4, and 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

6 + a

Putting value of a

6 + 3 = 9

5b

Putting value of b

5(2) = 10

C - 1

Putting value of c

12 - 1 = 11

9514 1404 393

Answer:

  A.

Step-by-step explanation:

The function f has a y-intercept of -5. The function g's y-intercept of -1 is 4 units up from that, so one way to represent g is ...

  g(x) = f(x) +4

The required function is g(x) = f(x) + 4. Hence, Correct option is A.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.

According to the graph,
The given curve has y intercept at y = -5.
Which implies that when we add 4 to the function intercept shifts to  y = -1 although it is the required intercept of new function g(x).

Thus, the required g is  g(x) = f(x) + 4

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Answer:

d = 0

Step-by-step explanation:

cancel equal terms on both sides of the equation

= 8d = 6d

move variable to the left and change its sign

8d - 6d = 0

2d = 0

divide both sides of the equation by 2

d = 0

Answer:

d = 0

Step-by-step explanation:

-7 and -7 cancel out

8d = 6d

collect like terms 8d - 6d

8d-6d=0

2d = 0

divide both sides

d=0

Answer:

X-Intercept (s)  (207/5, 0)

Y-Intercept (s) (0, 207/8

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x . To find the y-intercept, substitute in 0 for x and solve for y .

Answer:

x=23

Step-by-step explanation:

FInd the length of the hypotenuse

4.8+19.2=24

Then make it a ration

24/19.2=x/18.4

Cross multiply

19.2x=(24)(18.4)

19.2x=441.6

x=441.6÷19.2

x=23

Answer:

500 cupcakes

Step-by-step explanation:

Given that the 145 cupcakes is 29% of the total number of cupcakes sold that day,

29% --- 145 cupcakes

The total number of cupcakes sold would be 100%.

1% --- 145 ÷29= 5 cupcakes

100% --- 100(5)= 500 cupcakes

Thus, the bakery sold 500 cupcakes that day.

Answer:

Step-by-step explanation:

500 cupcakes

Step-by-step explanation:

Given that the 145 cupcakes is 29% of the total number of cupcakes sold that day,

29% --- 145 cupcakes

The total number of cupcakes sold would be 100%.

1% --- 145 ÷29= 5 cupcakes

100% --- 100(5)= 500 cupcakes

Thus, the bakery sold 500 cupcakes that day.

Answer:

x =4  &  y=0

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation

Answer:

X=4, Y=4

Step-by-step explanation:

First Solve for y

y= 4-x

Sub that in for y on the other equation.

2x-4-x=8

x=4

Answer: A then 0.700 .7 .70

Step-by-step explanation:

Answer:

12. 24

13. -5

14. -5

15. -40

16. 5

Answer:

B

Step-by-step explanation:

Answer:

its 7/3 . multiplicative inverse is just its opposite

Answer:

56

Step-by-step explanation:

Cube root of 175616 by prime factorization method is 56

Solution:

To find cube root of 175616 by prime factorization method

A number that must be multiplied by itself three times to equal a given number is called cube root

Prime factorization method:

Prime factorization is a number written as the product of all its prime factors.

In order of finding cube root by prime factorization we use the following steps:

Step I : Obtain the given number

Step II : Resolve it into prime factors.

Step III : Group the factors in 3 in such a way that each number of the group is same

Step IV : Take one factor from each group

Step V : Find the product of the factors obtained in step IV. This product is the required cube root

Prime factorization of 175616:

\text{ prime factors of 175616 } = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 7 \times 7 \times 7 prime factors of 175616 =2×2×2×2×2×2×2×2×2×7×7×7

Thus we get,

\sqrt[3]{175616} = \sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 7 \times 7 \times 7}

3

175616

=

3

2×2×2×2×2×2×2×2×2×7×7×7

Make the groups of 3 of equal numbers

\sqrt[3]{175616} = \sqrt[3]{2 \times 2 \times 2} \times \sqrt[3]{2 \times 2 \times 2 \times } \times \sqrt[3]{2 \times 2 \times 2} \times \sqrt[3]{7 \times 7 \times 7}

3

175616

=

3

2×2×2

×

3

2×2×2×

×

3

2×2×2

×

3

7×7×7

So there are 4 equal groups. So from that group take one factor out

\sqrt[3]{175616} = 2 \times 2 \times 2 \times 7 = 56

3

175616

=2×2×2×7=56

Thus Cube root of 175616 by prime factorization method is 56

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Answer: 6√3 i

............................

Answer:

The relation found by interchanging the range and the domain of a given function.

Step-by-step explanation:

Answer:

Ohhhhhhh 3 inches

Step-by-step explanation:

Answer:

k=3

Step-by-step explanation:

6k -16 =-3k+11

9k=27

divide both sides by 9

Answer:

1/6

Step-by-step explanation:

Given that :

Total surveyed (u) = 120

n(Cane's chicken fingers) = 50

n(Layne's chicken fingers) = 80

n(do not like either) = 10

a)

What is the probability that someone surveyed likes both Raising Cane's and Layne's chicken fingers?

n(Cane's n Layne's) = 20

u = 120

P = required outcome / total possible outcomes

P(Layne's and Cane's chicken) = [n(Cane's n Layne's)/ u]

= 20 / 120

= 1/6

Answer:

The difference between the lowest and highest values. In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9, so the range is 9 − 3 = 6. Range can also mean all the output values of a function.

Step-by-step explanation:

Hope this helps!

The range is the set of all possible output values

Answer:

-2

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 17 - -11)/( -9 -5)

    = ( 17 +11)/( -9 -5)

    28/-14

  = -2

Answer: -2

Step-by-step explanation:

X=-9-5=-14

Y=17 - - 11=28

28/-14=-2

19 + X > 26

X > 7

To break your record you need more than 7 digs

Answer:

-1

Step-by-step explanation:

Because

Answer:

Your correct answer is 5.

Step-by-step explanation:

8 - 5 = 3

3 + 2 = 5

Therefore, your correct answer is 5.