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3 years ago

Y = –3x2 – 12 Axis of symmetry:

Mathematics

1 answer:

kicyunya [14]3 years ago

5 0

<h3>Answer: x = 0</h3>

Work Shown:

y = -3x^2 - 12 is the same as y = -3x^2 + 0x + (-12)

Compare this to y = ax^2 + bx + c, and we'll find that

a = -3

b = 0

c = -12

Plug the 'a' and 'b' values into the formula below and simplify

h = -b/(2a)

h = -0/(2*(-3))

h = 0

The x coordinate of the vertex is x = 0, so the axis of symmetry is also x = 0.

The axis of symmetry lays perfectly on top of the y axis.

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What are the coordinates of R' for the dilation D(0.5. p)(PQRS)?

11111nata11111 [884]

Answer:

$R' = (-1,-0.5)$

Step-by-step explanation:

See attachment for complete question.

From the attachment:

$P = (-3,-3)$

$R = (1,2)$

Dilation:

$D_{(0.5,P)}$

Required

Determine R'

First, subtract the coordinates of P from R. This means that R is measured from P.

$R = (1-(-3),2-(-3))$

$R = (1+3,2+3)$

$R = (4,5)$

Next, apply dilation factor 0.5

$R' = R * 0.5$

$R' = (4,5) * 0.5$

$R' = (4* 0.5,5* 0.5)$

$R' = (2,2.5)$

Lastly, measure R' from the origin by adding the coordinates of P to R'

$R' = (2+(-3),2.5+(-3))$

$R' = (2-3,2.5-3)$

$R' = (-1,-0.5)$

6 0

3 years ago

Rewrite the equation in Ax+By=C form

Ksju [112]

Ax + By = C form of the given equation is –6x + y = –28.

Solution:

Given equation is y – 2 = 6(x – 5).

To write the equation in Ax + By = C format:

y – 2 = 6(x – 5)

y – 2 = 6x – 30

Add 2 on both sides of the equation.

y – 2 + 2 = 6x – 30 + 2

y = 6x – 28

Subtract 6x from both sides of the equation.

y – 6x = 6x – 28 – 6x

y – 6x = –28

Arrange the terms in the equation.

–6x + y = –28

This is in the form of Ax + By = C.

Here A = –6, B = 1 and C = –28.

3 0

3 years ago

HELP ASAP!!! I SUCK AT MATH AND I DON’T understand this!!!

anyanavicka [17]

Answer:

Part A:

$\frac{13}{20}$

Part B:

$\frac{1}{39}$

Step-by-step explanation:

The total number of candies is 40.

10 + 14 + 4 + 12 = 40

14 are Butterfinger and 12 are Crunch.

14 + 12 = 26

$\frac{26}{40}$

$\frac{26}{40}=\frac{26/2}{40/2}=\frac{13}{20}$

$\frac{10}{40} =\frac{10/10}{40/10} =\frac{1}{4}$

40 - 1 = 39

$\frac{4}{39}$

$\frac{1}{4}$ × $\frac{4}{39}$

$\frac{1}{39}$

4 0

3 years ago

The vertex of this parabola is at (-2, 5) (opens upward)

Rzqust [24]

Answer:

b. y = 3(x+2)^2 + 5

Step-by-step explanation:

The vertex form of a parabola is

y = a(x - h)^2 + k where (h, k) is the vertex.

Here h = -2 and k = 5 so the following could be the required equation\;

y = 3(x+2)^2 + 5

7 0

4 years ago

Dan earns £9.30 per hour. How much will he earn for 9 hours work?

Dimas [21]

Answer: £83.70

Step-by-step explanation:

We can set up a ratio.

Let x be the amount he earns for 9 hours of work.

$\frac{9.30 pounds}{1 hour} = \frac{x pounds}{9 hours}$

We can cross multiply:

x = 9*9.3

x = £83.70

6 0

3 years ago