The cube root parent function is reflected across the x-axis, vertically stretched by a factor of 3 then translated 8 units down. Write an equation that could represent this function.

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Explanation:

If you apply the distance formula, you should find that triangle DEF has the following side lengths

Those distances are exact. The sqrt(50) approximates to 7.071

Since 7.071 is the longest side, we'll make c = sqrt(50)

Then we have a = 5 and b = 5

Note that a^2+b^2 = 5^2+5^2 = 50 while c^2 = (sqrt(50))^2 = 50

Both a^2+b^2 and c^2 are equal to 50.

That means a^2+b^2 = c^2 is a true equation for the a,b,c values mentioned.

By the converse of the pythagorean theorem, we have shown that triangle DEF is a right triangle.

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Side notes:

Answer:

right

Step-by-step explanation:

we should find the distance of

DE

EF

FD

for DE

D(2,3) = (x1,y1)

E(5,7) = (x2,y2)

disatnce = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

=[tex]\sqrt{(5-2)^2 + (7-3)^2}[/tex]

=[tex]\sqrt{3^2 + 4^2}[/tex]

=[tex]\sqrt{16+9}[/tex]

=[tex]\sqrt{25}[/tex]

=5 units

for EF

E(5,7) = (x1 , y1)

F(9,4) = (x2 , y2)

distance =[tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

=[tex]\sqrt{(9-5)^2 + (4-7)^2}[/tex]

=[tex]\sqrt{(4)^2 + (-3)^2}[/tex]

=[tex]\sqrt{16 + 9}[/tex]

=[tex]\sqrt{25}[/tex]

=5 units

for DF

D(2,3) = (x1 , y1)

F(9,4) = (x2 , y2)

diatance =[tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

=[tex]\sqrt{(9-2)^2 + (4-3)^2}[/tex]

=[tex]\sqrt{7^2 + 1^2}[/tex]

=[tex]\sqrt{49 + 1}[/tex]

=[tex]\sqrt{50}[/tex]

=[tex]5\sqrt{2}[/tex]

It is a right angle triangle .

to prove right angle triangle

sum of square of two smaller sides = sum of square of longest side

5^2 + 5^2 =[tex](5\sqrt{2})^2[/tex]

25 + 25 = 52 *2

50 + 50

hence proved.

Answer:

$18

Step-by-step explanation:

Given the following data;

Number of friends = 8

Total expense = $120

Tip = 20%

To find how much each friend would pay?

First of all, we would determine the amount of tip.

Tip = 20/100 * 120

Tip = 2400/100

Tip = $24

New balance = total expense + tip

New balance = 120 + 24

New balance = $144

Next, we find how much each friend would pay using the mathematical expression;

Each paid = 144/8

Each paid = $18

Answer:

C

Step-by-step explanation:

Answer:

option c is correct

Step-by-step explanation:

y = 2x +5

5 = 2*0 +5

5 = 0 +5

5=5

y = 2x +5

9 = 2*2 + 5

=9 = 4 +5

9=9

y = 2x +5

13 = 2*4 +5

13 = 8 + 5

13 = 13

therefore option c is correct because it satisfies all the elements of x and y of the given function when we substitute the values.

Answer:

(x - 4)(x - 2)²

Step-by-step explanation:

x³ - 8x² + 20x - 16

x³ - 4x² + 4x - 4x² + 16x - 16

x(x² - 4x + 4) - 4(x² - 4x + 4)

(x - 4)(x² - 4x + 4)

(x - 4)(x² - 2x - 2x + 4)

(x - 4)(x(x - 2) - 2(x - 2))

(x - 4)(x - 2)(x - 2)

(x - 4)(x - 2)²

(x - 4)(x - 2)²

Answer:

-96

Step-by-step explanation:

x+2=0 take 2 to the other side which will be -2

the -2 you sub it into the quotient and calculate

Answer:

The answer is D

Step-by-step explanation:

Answer:

22 ft

Step-by-step explanation:

We need to find the side of the square garden.

Area of square garden = 484 sq.feet

side²   = 484

[tex]side = \sqrt{484}\\\\side = \sqrt{2*2*11*11} \\\\side = 2 * 11 = 22 feet[/tex]      

Hope this help!!!

Have a nice day!!!

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{(4^3)(5)}[/tex]

[tex]\mathsf{4^3}[/tex]

[tex]\mathsf{= 4 \times 4\times 4}[/tex]

[tex]\mathsf{= 16 \times 4}[/tex]

[tex]\mathsf{= \bf 64}[/tex]

[tex]\mathsf{64(5)}[/tex]

[tex]\mathsf{= \bf 320}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 320}\huge\textsf{ (NONE of the ABOVE)}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

the person below isn't giving the right answer choice did you ever get the answer for this question please comment me the answer cuz they clearly don't see the answer choice

Answer:

Angles F and H are congruent.

Step-by-step explanation:

Answer:

Angles F and H are congruent.

Step-by-step explanation:

Answer:

keep going you got it

Step-by-step explanation:

Answer:

Area of A is 30

Step-by-step explanation:

total area = 280

amount of area given= 60+60+50+50

                                   =220

area left = 280-220

              =60

Area of 1 A= 60/2

                 =30

9514 1404 393

Answer:

  obtuse scalene triangle

Step-by-step explanation:

Connecting 3 points will make a triangle. The sides are different lengths, and the largest angle is more than 90°. The figure is an obtuse scalene triangle.

Answer:

- 18

Step-by-step explanation:

2*12x - 2*9

= 24x -18

Hope this helps you !

Have a nice day

Bye :-)

Answer:

24x-18-0

24x-18+18=0+18

24x=18

24/24 18/24

3/4

Answer:

3rd box

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is 16 3/10

That's about as mixed as you can get it.

Answer:

5 1/3

Step-by-step explanation:

hope this works.

Answer:

X.2 y C 5

Step-by-step explanation:

the dots please

Answer:

33/20

Step-by-step explanation:

I dont know if that was a minus or a plus but it looked like a minus sorry if its wrong

Answer:

0.475

Step-by-step explanation:

It makes it easier for people to turn fraction to decimal.

So, 1/4 in decimal is 0.25.

1.9•0.25=0.475

Sorry if I'm wrong I'm in 8 grade I learned it in this year

Answer:

Step-by-step explanation:

If cost is directly proportional to speed, then the equation for this is

£ = ks, where k is the constant of proportionality. We need to solve for this first.

400 = k4 so

100 = k. Now we will use that k value in the next equation to find the cost of a 6GHz processor:

£ = (100)(6) so

£ = 600

Answer:

x=16

Step-by-step explanation:

angle TVQ = angle VWS (if they are parallel they can be said as corresponding angles)

5x-22 = 3x+10

5x-3x = 10+22

2x = 32

x = 32/2

x = 16

Answer:

B

Step-by-step explanation:

If PQ and RS are to be parallel, then

∠ TVQ = ∠ VWS ( corresponding angles ) , that is

5x - 22 = 3x + 10 ( subtract 3x from both sides )

2x - 22 = 10 ( add 22 to both sides )

2x = 32 ( divide both sides by 2 )

x = 16

For PQ and RS to be parallel then x = 16

Answer:

x = 70

Step-by-step explanation:

The two angles are same side interior angles and same side interior angles add to 180

45+ (2x-5) = 180

Combine like terms

2x +40 = 180

Subtract 40 from each side

2x+40-40 =180-40

2x =140

Divide by 2

2x/2 = 140/2

x = 70

Answer:

x=70

Step-by-step explanation:

hope it helped! :)

have a nice day

(x), (x-2), (x-5), (x-5), (x-7) and (x-9) are NOT zeros, they are FACTORS. The zeros are 0, 2, 5, 5, 7, and 9. Since 5 is listed twice it is said to be a zero of multiplicity 2. To find a polynomial with those zero, we start by setting x equal to each zero: x=0, x=2, x=5, x=5, x=7, and x=9. Then we subtract the zero on the right from both sides of each of those 6 equations: x-0=0, x-2=0, x-5=0, x-7=0, x-9=0 Then we use the principle that equals multiplied by equals gives equals. So we multiply all the left sides together and all the right sides together. (Multiplying all the right sides together just gives 0.) (x-0)(x-2)(x-5)(x-5)(x-7)(x-9) = 0 And since x-0 is just x, we have (x)(x-2)(x-5)(x-5)(x-7)(x-9) = 0 Those are the factors you gave. But again, the zeros are 0,2,5,5,7,9

Answer:

14

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 3x² + 1 - (1 - x)

= 3x² + 1 - 1 + x

= 3x² + x

Then

(f- g)(- 2)

= 3(- 2)² + 2

= 3(4) + 2

= 12 + 2

= 14

Answer:

(x-2)^2 +(y+5)^2=4^2

Step-by-step explanation:

x minus 2 squared + y plus 5 squared = radius squared

Answer:

(x-2) ^2 + ( y+5)^2 = 16

Step-by-step explanation:

The equation for a circle is given by

(x-h) ^2 + ( y-k)^2 = r^2 where (h,k) is the center and r is the radius

(x-2) ^2 + ( y- -5)^2 = 4^2

(x-2) ^2 + ( y+5)^2 = 16

Answer:

a^8

Step-by-step explanation:

When dividing exponents simply subtract the exponents and keep the base the same

So a^10 / a^2

Subtract the exponents

10-2=8

And keep the base

We would get a^8

Answer:

mjmdsfkjdsfjdfdjkfhdkfdkfdjhkjhfk

Step-by-step explanation:

dfjdbfjfshdgdsjhdh

Answer:

aasaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

hee haw i beat u i put more a's in my answer

Answer: [tex]6.2\ cm[/tex]

Step-by-step explanation:

Given

The volume of the sphere is [tex]V=996\ cm^3[/tex]

Volume of sphere is given by [tex]V=\dfrac{4}{3}\pi r^3[/tex]

Insert the values

[tex]\Rightarrow 996=\dfrac{4}{3}\times \dfrac{22}{7}r^3\\\\\Rightarrow r^3=\dfrac{996\times 21}{88}\\\\\Rightarrow r=6.2\ cm[/tex]

Thus, the radius of the sphere is [tex]6.2\ cm[/tex]

f-¹f(10)=10

Answer:

Solution given:

f(x)=3x-2

let

y=3x-2

interchanging role of x and y

x=3y-2

y=[tex]\frac{x+2}{3}[/tex]

so

f-¹(x)=[tex]\frac{x+2}{3}[/tex]

now

f(10)=3*10-2=28

now

f-¹f(10)=f-¹(28)=[tex]\frac{28+2}{3}[/tex]=10

Answer:

X = 132

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle therefore

x = 46 + 86

x = 132

Answer:

The measures of exterior angle is 132° .

Step-by-step explanation:

We know that the sum of interior angle is equal to the sum of exterior angle of triangle.

86° + 46 ° = x

combine like terms

132° = x

Answer:

below

Step-by-step explanation:

you can find the distance between the y values for each x value and if it comes out to be an even increase/decrease you know it is linear

Answer:

It does not form a linear equation.

Step-by-step explanation:

For this question, you should check that they all have the same gradient.

To work out the gradient, use [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex].

Using the top 2 rows, this gives [tex]\frac{-1--3}{-2--6}[/tex], or [tex]\frac{2}{4}[/tex], simplified to [tex]\frac{1}{2}[/tex]. This means for every increase in x by 1, y increases by [tex]\frac{1}{2}[/tex].

Between the first 2 rows, x increases by 4 and y by 2 (half of 4), so it is true.

Between the second and third rows, x increases by 2 and y by 2 (which isn't half of 2). This is false, meaning this does not form a linear equation.

**This question involves solving linear equations using gradients, which you may want to revise. I'm always happy to help!