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3 years ago

Whats the equation for this please help

Mathematics

2 answers:

kykrilka [37]3 years ago

8 0

$y = \frac{1}{3} {x}^{2} - 3$

Step-by-step explanation:

The general vertex form of the equation is

$y = a {(x - h)}^{2} + k$

where (h, k) are the coordinates of the vertex and a is a constant. In your case, the vertex is located at (0, -3) so your equation becomes

$y = a {x}^{2} - 3$

To find a, substitute the point (3, 0) into the equation

0 = a(3)^2 - 3 ---> a = 1/3

Therefore, the equation has the form

$y = \frac{1}{3} {x}^{2} - 3$

Gnoma [55]3 years ago

5 0

Answer:

y = ⅓ x² - 3

Step-by-step explanation:

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Can you help me please.

ANTONII [103]

Answer:

Step-by-step explanation:

-x + 2y = 16

y = mx + 8

Start with the top equation. Add x to both sides.

-x + 2y + x = x + 16 Combine the left

2y = x + 16 Divide by 2

2y/2 = (1/2)x + 1/2(16)

y = 1/2 x + 8

If m = 1/2, both equations together will give an infinite number of solutions.

6 0

2 years ago

Organize the following polynomial expressions from least to greatest based on their degree: (2 points) I. x + 2xyz II. 3x + y +

sergejj [24]

1) x + 2xyz
2) 3x + y + z
3) 2x³y + y²x - 3x + 4
4) 9x³yz

Least to greatest: 2 , 1, 4, 3,

Let us assume that x = 3; y = 2; z = 1 and we disregard the coefficients
1) x + 2xyz ⇒ 3 + (3)(2)(1) = 9
2) 3x + y + z ⇒ 3 + 2 + 1 = 6
3) 2x³y + y²x - 3x + 4 ⇒ (3³)(2) + (2²)(3) - 3 = 63
<span>4) 9x³yz </span>⇒ (3³)(2)(1) = 54

Least to greatest ; 2) 6 ; 1) 9 ; 4) 54 ; 3) 63.

We disregarded the coefficients because the expressions are organized based mainly on their degree.

5 0

3 years ago

Read 2 more answers

The tires on your bicycle have a radius of 14 inches. How many rotations does each tire make when you travel 900 feet? Round you

Nezavi [6.7K]

Around 150 rotations

I rounded the radius to feet which is 1 foot. Then you have to get the diameter which is 1x2=2. The diameter is 2 feet. Now for the circumference, we multiply 2 by 3.14(which is pi). The answer to that is 6.28, and since we are rounding it, we get 6 feet. However, we are traveling 900 feet. Divide 900 by 6 and get 150.

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3 years ago

A drawer contains 4 red socks, 7 white socks, and 11 blue socks. Without looking, you draw out a sock and then draw out a second

Nana76 [90]

Total socks = 4 + 7+ 11 = 22
Red = 4
White = 7

P(red, then white) = (4/22)(7/21) = 2/33

Answer: 2/33

8 0

3 years ago

Last PreCalc Question, Need help with writing piecewise functions with graphs. Giving brainliest!

LekaFEV [45]

The piece-wise linear functions can be written as follows:

$f(x) = x, x \leq -2$ .

$f(x) = -x - 7, -2 < x \leq 1$ .

$f(x) = 2x - 9, x > 1$ .

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:

$f(x) = x, x \leq -2$ .

For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:

$f(x) = -x - 7, -2 < x \leq 1$ .

For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:

m = (-3 - (-5))(3 - 2) = 2.

The rule is:

y = 2x + b.

When x = 2, y = -5, hence:

-5 = 2(2) + b

b = -9.

Hence:

$f(x) = 2x - 9, x > 1$ .

More can be learned about linear functions at brainly.com/question/24808124

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2 years ago