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3 years ago

Which equation shown below represents the equation of the inverse of the quadratic function shown below?

Mathematics

2 answers:

algol133 years ago

6 0

Is (x-2)/3 -3 a choice?

Dominik [7]3 years ago

5 0

I guess the equation should be written:
f(x)=(x+2)^2 +3
If so, replace x by y & vice versa .
The final result is y=[square root of (x-3)]-1

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The graph of g(x) is f(x) translated to the left 8 units and up 2 units. What is the function rule for g(x) given f(x) = x²?

NNADVOKAT [17]

Translation of a function y = h(x) to the right/left is given by y = h(x + a) for translation to the left by 'a' units and y = h(x - a) for translation to the right by 'a' units

Translation of a function y = h(x) up/down the y-axis is given by y = h(x) + a for translation 'a' unit up and y = h(x) - a for translation 'a' unit down

So, translating f(x) = x² eight units right and two units up gives:

g(x) = (x-8)² + 2

7 0

3 years ago

Mrs.Cleaver mixes 1.24 liters of red paint with 3 times of blue paint to obtain purple paint. She divides the paint equally in 5

slamgirl [31]

The amount of blue paint in each container is $\fbox{\begin\\\ 0.744 liters \end{minispace}}$ .

Further explanation:

Mrs. Cleaver mixes 1.24 litres of red paint with 3 times blue paint to obtain purple paint.

So, the amount of blue paint used is calculated as,

${3} \times {1.24}=3.72 \text { liters}$

Therefore, the total paint mixture is the sum of blue paint and red paint.

$\fbox{\begin \\\begin{aligned} \text{Total paint}= 1.24+3.72\\=4.96 \text{ liters}\\\end{aligned}\\\end{minispace}}$

Now, as Mrs. Cleaver divides the paint mixture equally in 5 containers so the amount of paint in one container is calculated as,

$\boxed{\begin{aligned}\text{Amount of paint in one container}&= \dfrac{4.96}{5}\\ &=0.992 \text{ liters} \end {aligned}}$

Since amount of blue paint mixed is three times the red paint so the fraction of blue paint to the total paint is $\dfrac{3}{4}$ .

Now, as it is known that the fraction of blue paint to the total paint is $\dfrac{3}{4}$ and the amount of paint in a container is $0.992 \text{ liters}$ then the blue paint in one container is calculated as,

$\boxed{\begin{aligned}\text{Blue paint in one container} =\dfrac{3}{4} \times 0.992\\=0.248 \text{ liters}\end{aligned}}$

Thus, the amount of blue paint in each container is $\fbox{\begin\\\ 0.744 liters \end{minispace}}$ .

Learn more:

1. To solve one variable linear equation brainly.com/question/1682776

2. Linear equation application brainly.com/question/2479097

3. Composite functions brainly.com/question/2142762

Answer details

Grade: Middle school

Subject: Mathematics

Chapter: Mixtures and ratios

Keywords: mixture, paint, red paint, blue paint, Mrs. Cleaver, purple paint, fraction, each container, five containers, divides, times, equally divide, mixes, liters.

4 0

3 years ago

Read 2 more answers

Stephanie is 62 inches tall. Her brother is t inches shorter than she is.

Law Incorporation [45]

Answer: 62 - T

Step-by-step explanation:

I think it is 62 - T because Stephanie is 62 inches and it says that her brother is shorter which I believe it means that you have to subtract.

7 0

3 years ago

Vector has 4 Orange picks for every 3 green picks. If 8 of the picks are orange, how many picks are green?

padilas [110]