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2 years ago

Given that

Mathematics

2 answers:

GarryVolchara [31]2 years ago

6 0

f(x) = x^2

1st transpose: f(x) = x^2 +7

2nd dilate: f(x) = 9(x^2+7)

3rd reflect: f(x) = 9x^2 + 63

zheka24 [161]2 years ago

4 0

f(x) = x^2

shift f(x) up 7 units means adding 7 to f(x)

so now f(x) = x^2 +7

vertically stretch the function by a factor of 9 means multiplying f(x) by 9

so now f(x) = 9(x^2+7)

f(x) = 9x^2 + 63

reflect across the y-axis means x becomes -x in f(x)

so now f(x) = 9(-x)^2 + 63

f(x) = 9x^2 + 63

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a quadrilateral has angles measuring 105 degrees, 80 degrees, and 45 degrees what is the measure of the 4th angle

Bond [772]

Answer: 130 degrees

Step-by-step explanation:

105+80+45+x=360

230+x=360

-230 both sides

X=130 degrees

6 0

2 years ago

Use completing the square to determine which of the following gives the solutions to 3x2 - 24x + 40 = 28.

jeka94

Answer:

$x=4+2\sqrt{3}$

$x=4-2\sqrt{3}$

Step-by-step explanation:

<u>Completing the square</u>

when $ax^2+bx+c=0$

Given equation:

$3x^2-24x+40=28$

Subtract 40 from both sides:

$\implies 3x^2-24x=-12$

Divide both sides by 3:

$\implies x^2-8x=-4$

Add the square of half the coefficient of $x$ to both sides:

$(\frac{b}{2})^2=(\frac{-8}{2})^2=16$

$\implies x^2-8x+16=-4+16$

Factor the left side and simplify the right side:

$\implies (x-4)^2=12$

Square root both sides:

$\implies x-4=\pm\sqrt{12}$

Add 4 to both sides and simplify the radical:

$\implies x=4\pm\sqrt{4 \cdot 3}$

$\implies x=4\pm\sqrt{4}\sqrt{3}$

$\implies x=4\pm2\sqrt{3}$

5 0

1 year ago

2 If m please help me

Nadusha1986 [10]

Answer:

x = 18

m∠HCB = 36

Step-by-step explanation:

The measure of angle FBC is 8x and the measure of angle HCB is 2x. If you add the measures of both angles it will equal to 180 degrees. This can be represented in an equation:

8x + 2x = 180

10x = 180

Divide both sides of the equation by 10 to isolate the x:

10x/10 = 180/10

x = 18

Now that we know the value of x, we can find the measure of angle HCB:

2(18)

The measure of angle HCB is 36.

I hope this helps :)

8 0

2 years ago

Emir made $182 in interest by placing $700 in a savings account with simple interest for 2 years. What was the interest rate?

Pavlova-9 [17]

Answer:

7.69230%

R=I/P×T

R=$182/$700×2

R=182/1400

R=91/700

=7.69230%

6 0

2 years ago

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Leya [2.2K]

Answer:

y , add 7, multiply by 3, then subtract 6.or Solve the system of equations and choose the correct answer from the list of options. x − y = 7 y = 3x + 12 2 over 19 comma 2 over 33 negative 2 over 19 comma negative 33 over 2 negative 19 over 2 comma negative 33 over 2 19 over 2 comma 33 over 2

Step-by-step explanation:

3 0

2 years ago