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2 years ago

Plot the table of values below and determine the equation that relates y in terms of x.

Mathematics

1 answer:

Eddi Din [679]2 years ago

7 0

Answer:

x = 3

y = 4

Step-by-step explanation:

if we look at the pixels in the table we can see with our eyes that the dots are plotted on these graph positions

x: 3

y: 4

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Enter the domain and range of the function g(x) = 9x2 − 5 as an inequality, using set notation and using interval notation. Comp

tia_tia [17]

The domain and the range of a function are the set of input and output values, the function can take.

The domain and the range of $g(x) = 9x^2 - 2$ is $(-\infty, \infty)$ .
The parent function $f(x) =x^2$ is vertically compressed by 9, then shifted down by 5 units to get $g(x) = 9x^2 - 2$

Given

$g(x) = 9x^2 - 2$

Domain and range

There is no restriction as to the input and the output of function g(x).

This means that the domain and the range are $(-\infty, \infty)$

$(-\infty, \infty)$ is in interval notation

The corresponding set notation is: $- \infty < x < \infty$

The parent function

We have:

$f(x) = x^2$

First, the parent function is vertically compressed by a factor of 9.

The rule of this transformation is:

$(x,y) \to (x,9y)$

So, we have:

$f'(x) = 9x^2$

Next, the function is shifted down by 5 units.

So, we have:

$g(x) = f'(x) - 5$

$g(x) = 9x^2 - 5$

Read more about functions at:

brainly.com/question/21027387

4 0

2 years ago

1. What is the equation of a line that has a slope of ⅔ and a y-intercept of -3?

ArbitrLikvidat [17]

Answer:

1. y = (⅔)x - 3

2. y = 3x + c

3. 1) non-proportional

2) can be proportional if c = 0

Step-by-step explanation:

1. What is the equation of a line that has a slope of ⅔ and a y-intercept of -3?

y = (⅔)x - 3

2. What is the equation of a line that has a slope of 3?

y = 3x + c

3. Lable the 2 equations as proportional or non-proportional and why.

A proportional relation should pass through the origin, i.e the y-intercept should be 0

3 0

3 years ago

6. – 4y + 8x = 32 for y

MatroZZZ [7]

Answer:

The answer is: y=2x−8

Step-by-step explanation:

Step 1: Add -8x to both sides.

8x−4y+−8x=32+−8x

−4y=−8x+32

Step 2: Divide both sides by -4.

−4y−4=−8x+32−4

y=2x−8

4 0

2 years ago

Read 2 more answers

Mr Teo wants to buy an oven. Which shop sells the oven at a lower price? Show your working clearly.

Oliga [24]

Answer:

Shop B

Step-by-step explanation:

Hi there!

To solve this question, we can find the new prices of each oven and identify which one is cheaper.

Shop A

Usual price: $190

Discount: 15%

First, we must subtract the discount percent from 100:

100 - 15 = 85

Therefore, the new price of the product will be 85% of the original price. Find 85% of $190:

190 × 0.85

Therefore, the new price is $161.50.

Shop B

Usual price: $200

Discount: 20%

Again, subtract 20 from 100:

100 - 20 = 80

This means that the new price of the oven is 80% of the original price:

200 × 0.8 = 160

Therefore, the new price is $160.

Because a $160 oven is cheaper than a $161.50 oven, Shop B sells the oven at a lower price.

I hope this helps!

6 0

2 years ago

Read 2 more answers

What is the quotient if the dividend is 2286 and the divisor is 6

Anna11 [10]

Answer:

381

Step-by-step explanation:

2,286/6=381

Good luck!

8 0

3 years ago

Plot the table of values below and determine the equation that relates y in terms of x.​

Plot the table of values below and determine the equation that relates y in terms of x.