The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):



Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)

Part B: Solve for k in each type of transformation. (4 points)

Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)

Answer:

A. 5 in

Step-by-step explanation:

Let w represent the width of the frame.

If the length is 3 inches longer than twice the width, it can be represented by 2w + 3.

Use the perimeter formula, p = 2l + 2w. Plug in the perimeter and 2w + 3 as l, and solve for w:

p = 2l + 2w

36 = 2(2w + 3) + 2w

36 = 4w + 6 + 2w

36 = 6w + 6

30 = 6w

5 = w

So, the width of the frame is 5 inches.

The correct answer is A. 5 in

Hi ;-)

[tex]x^2+6x-10=30 \ \ /-30\\\\x^2+6x-40=0\\\\a=1, \ b=6, \ c=-40\\\\\Delta=b^2-4ac=6^2-4\cdot1\cdot(-40)=36+160=196\\\\\sqrt{\Delta}=\sqrt{196}=14\\\\x_1=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-6-14}{2}=\boxed{-10}\\\\x_2=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-6+14}{2}=\boxed4[/tex]

Answer:

x=3 and x=5

Step-by-step explanation:

x2−8x+15=0

To solve the equation, factor x2−8x+15 using formula x2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=−8ab=15

Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 15.

−1,−15−3,−5

Calculate the sum for each pair.

−1−15=−16−3−5=−8

The solution is the pair that gives sum −8.

a=−5b=−3

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x−5)(x−3)

To find equation solutions, solve x−5=0 and x−3=0.

x=5x=3

hope it helps :)

Answer:

foil method

add/subtract like terms

Step-by-step explanation:

b×2b=2b²

b×9=9b

-7×2b=-14b

-7×9=-63

-14b+9=-5

=2b²-5b-63

Answer:

a. isosceles

b. isosceles

c. scalene

Answer:

[tex]f(2) = \frac{3}{2x - 5} [/tex]

Answer:

(1/2)hb = Area of Triangle

s^2 = Area of Square

lw = Area of Rectangle

4s = Perimeter of a Square

2l + 2w = Perimeter of a Rectangle

a + b + c = Perimeter of a Triangle

Answer:

880 miles

Step-by-step explanation:

352 - 220 = 132

132 ÷ 0.15 = 880

880 miles

Answer:

-2

Step-by-step explanation:

9 - [4^2 - (3 + 2)]

PEDMAS says parentheses first

Work from the inside out

9 - [4^2 - (5)]

9 - [16-5]

9 - [11]

Subtract

9-11

-2

Answer:

LetmarkedPricebeRsxofelectricfan

∴9%discountonxRupees

andchargestocustomeris728rupees

∴x−1009x=728,10091x=728,91x=728×100,x=756×100=800rupees

Step-by-step explanation:

MP of the fan​ is 2400.

To  find the mp of the fan​.

To buy goods from the shopkeepers in the market which they buy either directly from the manufacturers or through the wholesalers.

Given:

let’s calculate backwards :

2244 = 100% sale price + 10% VAT = 110%

1% = 2244 / 110 = 20.40

100% (actual sale price) = 20.40×100 = 2040

Now, because of the 15% discount, these 2040 are only 85% of the originally marked price.

2040 = 85%

1% = 2040 / 85 = 24.00

100% (the original marked price) = 24×100 = 2400

2244 is the final price. it includes the VAT based on the actual sale price. and that is then actually 15% lower than the originally marked price.

So, the MP of the fan​ is 2400.

Learn more about profit and loss here:

https://brainly.com/question/24431998

#SPJ2

Answer: so a^2 + b^2 = 5

Step-by-step explanation:

(a+b) = 3

ab = 2

so

(a+b)^2 = 3^2

a^2 + 2ab + b^2 = 9

or, a^2 + 2*2 + b^2 = 9

or, a^2 + 4 + b^2 = 9

or, a^2 +b^2 = 9-4 = 5

387×$2.25=$870.75

hope it helps.

Answer:

4x + 2(x - 3) = 4x + 2x - 11 4x + 2x - 6 = 4x + 2x - 11 6x - 6 = 6x - 11 6x - 6x = -11+ 6 O = -5...incorrect...this has no solution...0 solutions one property used was the distributive property :2(x - 3) = 2x - 6

9514 1404 393

Answer:

  π ft ≈ 3.14 ft

Step-by-step explanation:

The angle is 1/12 of the number of degrees in a circle, so the arc length will be 1/12 of the circumference of the circle.

 C = 2πr

 1/12C = 2/12π(6 ft) = π ft ≈ 3.14 ft

The arc length is about 3.14 feet.

Answer:

slope is -1/25. This slope in context means that the car can drive 25 miles per gallon. the y int is 15. in context to the problem, the car started with 15 gallons in its tank.

Step-by-step explanation:

Answer:

B. y = [tex]\frac{2}{15} X + 2[/tex]

Step-by-step explanation:

I. Given x = 15 and y = 4

         4 = [tex]\frac{2}{15}(15) + 2[/tex]

         4 = 2+2

         4 = 4 true

II. Give x = 0 and y = 2

         2 = [tex]\frac{2}{15}(0) + 2[/tex]

         2 = 0 + 2

         2 = 2 true

III. Given x = -15 and y = 0

         0 = [tex]\frac{2}{15}(-15) + 2[/tex]

         0 = -2 + 2

        0 = 0 true

Good luck.

Answer:

mkhhikbyjhggfikmnikkfyujikok

Answer:

B in the photo

Step-by-step explanation:

another way to write the problem:

square root is also taking the 1/2 power:

[tex](4x)^{1/2} * (x+7)^{1/2} \\[/tex]

since they are raised to the same power:

[tex](4x * (x+7))^{1/2}\\(4x^2 + 28x)^{1/2}\\\\=\sqrt{4x^2 + 28x}[/tex]

Answer:

33.66

Step-by-step explanation:

Answer:

your gonna have to give me more details

Step-by-step explanation:

is this even a question

Answer:

distributive property

Answer: 34

Step-by-step explanation:

[tex]a=3+2\sqrt{2} \\\\\dfrac{1}{a} =\dfrac{1}{3+2\sqrt{2}} =\dfrac{3-2\sqrt{2}}{(3+2\sqrt{2})(3-2\sqrt{2})} =\dfrac{3-2\sqrt{2}}{3^2-2^2*2} =3-2\sqrt{2}\\\\\\a+\dfrac{1}{a} =3+2\sqrt{2}+3-2\sqrt{2}=6\\\\(a+\dfrac{1}{a})^2=6^2=36=a^2+\dfrac{1}{a^2}+2\\\\\\a^2+\dfrac{1}{a^2}=36-2=34\\[/tex]

Answer:

D

Step-by-step explanation:

b/c 90 - 14 = 76 .........

Answer:

The correct choice is option a.  (2x+5)(2x−5)

Answer:

Option a. (2x+5)(2x-5)

Step-by-step explanation:

4x2 - 25

Furthermore, this is the difference of squares formula we will use to factor 4x^2-25:

a2 - b2 = (a + b) • (a − b)

As you can see, our problem does not look like the left side of the formula, so first we have to convert our problem to match the left side like so:

4x2 - 25 = (2x)2 - 52

Now that it matches, we can simply plug in 2x for a and 5 for b into the formula to get the factors of 4x^2-25:

(2x + 5) • (2x − 5)

________________________________

I know this is urgent but still I gave you the explanation so that whenever you're confused with questions like that then these steps can help you.

Answer:

Step-by-step explanation:

the x axis

Answer:

2r+7

Step-by-step explanation:

(4r+3)+(−2r+4)

Combine 4r and −2r to get 2r.

2r+3+4

Add 3 and 4 to get 7.

2r+7

:)