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Yes the pre image and image are congruent inspite of reflection, rotation or translation

This happens because they are rotated or translated according to a constant factor called scale factor

Answer:

18

Step-by-step explanation:

2/3 = 66%

66% of 18 =

12-6=

6

The functions f(x), g(x) and h(x) are related as a result of composite functions

The values of the functions are f(x) = x³ - 5x² + 2x + 8 and g(x) = x² - x - 2

From the question, we have the following equation

h(x) = f(x)/g(x)

This gives

f(x) = g(x) * h(x)

The function h(x) is given as:

h(x) = x - 4

So, we have:

f(x) = g(x) * (x - 4)

The function g(x) cannot be x³ - 3x² - 6x + 8 because the leading coefficients of function f(x) are 3 and 2

Next, we assume that:

g(x) = x² - x - 2

So, we have:

f(x) = (x² - x - 2) * (x - 4)

Expand

f(x) = (x³ - x² - 2x - 4x² + 4x + 8)

Evaluate like terms

f(x) = x³ - 5x² + 2x + 8

The above function exists in the given table.

Hence, the values of the functions are f(x) = x³ - 5x² + 2x + 8 and g(x) = x² - x - 2

Read more about composite functions at:

https://brainly.com/question/10687170

Answer:

D : y = 7x - 20

Step-by-step explanation:

let D be the line that passes through the points (4, 8) and (2, -6)

Then D has an equation of the form D: y = ax + b

Now we need to find a and b in order to be able to write the equation of the line D:

[tex]a = \frac{8-(-6)}{4-2}=\frac{14}{2}=7[/tex]

Since the point (4, 8) lies on the line D then :

8 = 7 × (4) + b

then

8 = 28 + b

then

b = 8 - 28

  = -20

Conclusion:

Since a = 7 and b = -20 then

D : y = 7x - 20

Answer: 11 adult tickets

Step-by-step explanation:

      First, we will write an equation. Let x be adult tickets and y be children tickets.

   $280 ≥ 18.5x + 12.25y

      Now I will graph it!

-> See attached

    If she bought 6 children's tickets, we can look to the y value of 6 (children's tickets) to find our maximum value of x (adult tickets).

    This means she can buy a maximum of 11 tickets because we will assume she cannot buy part of a ticket.

      She can buy 11 adult tickets.

x= 41

Break the shape into two triangles

Use Pythagoras theorem to solve for the hypotenuse of the first triangle (the triangle with sides 32 and 24). You should have 40

Get to the second triangle. Use Pythagoras theorem to solve for the hypotenuse which, in this case, is x. Note that the sides of the second triangle are 40 (the hypotenuse of the last triangle. Look closely. ) and 9

Answer:

f(x) = (x + 4)(x - 4)

Step-by-step explanation:

f(x) = x² - 16

This is the difference of two squares.

f(x) = (x + 4)(x - 4)

Answer:

(8.6)(-2)+(8.6)(-0.5)

Step-by-step explanation

Since -2+-0.5= -2.5, we need to use a plus sign. Also, since we multiply both by 8.6, that is the answer.

Area of vertical rectangle:-

Area of horizontal rectangle:-

Area of triangle:-

Total area:-

Answer:

R(t)=10+0.50t

Step-by-step explanation:

Let t be the number of years.

We have been given that When Joseph first starts working at a grocery store, his hourly rate is $10.

 For each year he works at the grocery store, his hourly rate increases by $0.50.

So the hourly rates after t years will be 10 plus 0.50t.We can represent this information in an equation as: R(t)=10+0.50t

Therefore, the function  R(t)=10+0.50t represents Joseph's hourly rates after t years.

(Hope this helps pls can I have brainlist have a great day )

Using the weighed mean formula, it is found that Mara's average for the course was of 68.6.

The weighed mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.

In this problem, the weights are as follows:

Hence, her weighed mean is given as follows:

[tex]M = \frac{2(65 + 62 + 60) + (61 + 96 + 80 + 89) + 4(65)}{6 + 4 + 4} = 68.6[/tex]

Mara's average for the course was of 68.6.

More can be learned about the weighed mean formula at https://brainly.com/question/24398353

Slope= -1/2

Hope it helps.

Do comment if you have any query.

Slope:-

Answer:

see explanation

Step-by-step explanation:

the perimeter (P) is the sum of the 3 sides of the triangle.

P = 4x² + 1 + 26x + 6 + x² + 10x ← collect like terms

  = 5x² + 36x + 7

to factor the expression, consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 5 × 7 = 35 and sum = 36

the factors are + 35 and + 1

use these factors to split the x- term

5x² + 35x + 1x + 7 ( factor the first/second and third/fourth terms )

= 5x(x + 7) + 1 (x + 7) ← factor out (x + 7) from each term

= (x + 7)(5x + 1) , then

P = (x + 7)(5x + 1) ← in factored form

Answer: A 2-column table with 4 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0. The second column is labeled f of x with entries 2, 0, negative 10, negative 24.

Step-by-step explanation:

The table shown in the attachment has the function that is decreasing in the interval of interest."Decreasing" means that for increasing x-values, each f(x) value is less than the one before.

Answer:

a

Step-by-step explanation: bc i just did it

Answer:

The surface area of the rectangle is 2670

Answer:

Step-by-step explanation:

Subtracting 3x^4+9x^3x^2 from the dividend and bringing down by 13x, the quotient is 3x^2-2x+5, and the term 3x^2 in the quotient is the result of dividing 3x^4 by x²

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have a polynomial:

[tex]=\rm -2x^3-x^2+13x[/tex]

The dividend polynomial:

[tex]\rm = 3x^4+7x^3+2x^2+13x+5[/tex]

If we subtract  the polynomial [tex]\rm 3x^4+9x^3+3x^2[/tex] from the dividend polynomial, we will get:

[tex]\rm = (3x^4+7x^3+2x^2+13x+5)-(3x^4+9x^3+3x^2)[/tex]

[tex]\rm = -2x^3-x^2+13x+5[/tex]

After bringing down 13x, we will get the polynomial:

[tex]=\rm -2x^3-x^2+13x[/tex]

If complete the division of the polynomial, we will get:

[tex]\rm = \frac{(3x^4+7x^3+2x^2+13x+5)}{x^2+3x+1}[/tex]

= [tex]=\rm 3x^2-2x+5[/tex]

Thus, the subtracting 3x^4+9x^3x^2 from the dividend and bringing down by 13x, the quotient is 3x^2-2x+5, and the term 3x^2 in the quotient is the result of dividing 3x^4 by x²

Learn more about Polynomial here:

brainly.com/question/17822016

Answer:

75 square units

Step-by-step explanation:

set up a proportion first.

[tex] \frac{3}{4} = \frac{x}{100} [/tex]

(x is on top because it asks for the smaller area, so it is on the same side of the 3)

after, cross multiply to find x

4x = 300

divide by 4

x= 75

Answer:

[tex]y = (x - 7)^{2} + 7[/tex].

Step-by-step explanation:

Let [tex]a[/tex], [tex]h[/tex], and [tex]k[/tex] be constants, and let [tex]a \ne 0[/tex]. The equation [tex]y = a\, (x - h)^{2} + k[/tex] represents a parabola in a plane with vertex at [tex](h,\, k)[/tex].

For example, for [tex]y = -(x + 7)^{2} + 7 = -(x - (-7))^{2} + 7[/tex], [tex]a = (-1)[/tex], [tex]h = (-7)[/tex], and [tex]k = 7[/tex].

A parabola is entirely above the [tex]x[/tex]-axis only if this parabola opens upwards, with the vertex [tex](h,\, k)[/tex] above the [tex]x\![/tex]-axis.

The parabola opens upwards if and only if the leading coefficient is positive: [tex]a > 0[/tex].

For the vertex [tex](h,\, k)[/tex] to be above the [tex]x[/tex]-axis, the [tex]y[/tex]-coordinate of that point, [tex]k[/tex], must be strictly positive. Thus, [tex]k > 0[/tex].

Among the choices:

Answer:

its c

Step-by-step explanation:

Answer:

B .565

Step-by-step explanation:

10 + 13 =

23

13/23 = .565

[tex]2\sqrt[3]{x^2}\cdot \sqrt{16x}\\\\=2\sqrt[3]{x^2} \cdot 4\sqrt x\\\\=8x^{\tfrac 23} \cdot x^{\tfrac 12}\\\\=8\cdot x^{\tfrac 23 + \tfrac 12}\\\\=8\cdot x^{\tfrac 76}\\\\=8\sqrt[6]{x^7}\\\\=8\sqrt[6]{x^6 \cdot x}\\\\=8x\sqrt[6]{x}[/tex]

[tex]\text{Hence the answer is A}[/tex]

Answer:

[tex] \sf \: Option \: A \: \sf \ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8x \sqrt[6]{ {x}}[/tex]

Step-by-step explanation:

[tex] \sf \: if \: x > 0 \\ \sf \: 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 2 \sqrt[3]{ {x}^{2} } \cdot \: 4 \sqrt{x} \\ \sf \ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 {x}^{ \frac{2}{3} } \cdot \: {x}^{ \frac{1}{2} } \\ \sf \ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} =8 {x}^{ \frac{2}{3} + \frac{1}{2} } \\ \sf\ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 {x}^{ \frac{4 + 3}{3 \times 2} } \\ \sf\ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 {x}^{ \frac{7}{6} } \\ \sf 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 \sqrt[6]{ {x}^{7} } \\ \sf\ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8 \sqrt[6]{ {x}^{6} + x } \\ \sf \ 2 \sqrt[3]{ {x}^{2} } \cdot \: \sqrt{16x} = 8x \sqrt[6]{ {x}}[/tex]

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Answer:

Francesca can buy 4 packages of balloons for $34.

Step-by-step explanation:

35.42 x 100 = 3542 ÷2 = 1771

 8.36 x 100 =   836 ÷2 =  418

1771 ÷ 418 = 4.236842105263158 (We will round it to 4.23)

If we round it to 5, it will exceed Francesca's budget, so we will make 4.23 4.

4 x 8.36 = $33.44

We cannot cut the 44 cents so we will round it to $34.

Hope this helped!

Answer:

63

Step-by-step explanation:

John's percentage:

36 and 48 have a common factor of 12 so divide both of them by 12.

36/12= 3 and 48/12=4 therefore

so 36/48= 3/4 which is 75% but we don't need to focus on the percent.

Don's no. of shirts:

we know Don has 84 shirts so we say

3/4 of 84= no. of shirts that Don put in his closet

84/4=21 21x3=63

Don put 63 shirts in his closet.

Hope that helped! Anymore questions just ask! :)

Answer:

False

Step-by-step explanation:

I am assuming this is the answer you are looking for and if not I am sorry. The sides of this equation are not currently equal. (-7=12) So the statement of the equation is false.

Jaleel did the sides by eachother.

Since it's 3d, it also wants them/us to count the sides that are not shown. He did one side by the length and then another by the height, then doubled it. Finally he added it all together

Answer:

.767

Step-by-step explanation:

0. ones, tens, hundreds, thousands

Answer: 0.05 cup

Step-by-step explanation:

Divide 2.5 by 10 to find how much is in one of Sarah’s dishes.

This gives you 0.25

Divide 1.6 by 8 to find how much is in one of Amy's dishes.

This gives you 0.2

Now minus 0.2 from 0.25.

This gives you a 0.05 cup

hope this helps

Answer:

Egg and Jelly Bans

Step-by-step explanation:

*Using a calculator or otherwise*

1.45 x 3 = $4.35                                           1.05(eggs)+1.37(beans)= $2.42

        +

2.29 x 2 =$4.58

              = $8.93

11.35-8.93= $2.42

Answer:

(x,y)

Step-by-step explanation:

x comes first always

(x,y)

so 2 would be the x value and 3 would be the y value