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3 years ago

The graph represents a quadratic function. Write the function in vertex form.

Mathematics

1 answer:

Luba_88 [7]3 years ago

8 0

Answer:

y=3(x+3)^2-8

Step-by-step explanation:

Vertex form:

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

h=-3, k=-8

y=a(x+3)^2-8

sub (-4,-5)

-5=a(-4+3)^2-8

a=3

y=3(x+3)^2-8

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3) 8p + 7q = 43<br>2 -7=-q<br>how can I solve this with substitution?

Bess [88]

Answer:

p=1, q=5. (1, 5).

Step-by-step explanation:

8p+7q=43

2-7=-q

------------------

-q=-5

q=5

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8p+7(5)=43

8p+35=43

8p=43-35

8p=8

p=8/8=1

6 0

3 years ago

What is an equation of the line that passes through the point<br> (-2,-8) and has a slope of 3?

nignag [31]

Answer:

y = 3x - 2

Step-by-step explanation:

Use the point-slope equation since we are given a point that the line passes through and its slope:

y - y1 = m(x - x1)

(-2, -8), m = 3

Substitute these values into the equation.

y - (-8) = 3(x - (-2))
y + 8 = 3(x + 2)
y + 8 = 3x + 6
y = 3x - 2

The equation of the line that passes through the point (-2, -8) and has a slope of 3 is y = 3x - 2.

7 0

2 years ago

Find the volume of the wedge-shaped region contained in the cylinder x2 + y2 = 49, bounded above by the plane z = x and below by

fiasKO [112]

$\displaystyle\iiint_R\mathrm dV=\int_{y=-7}^{y=7}\int_{x=-\sqrt{49-y^2}}^{x=0}\int_{z=x}^{z=0}\mathrm dz\,\mathrm dx\,\mathrm dy$

Converting to cylindrical coordinates, the integral is equivalent to

$\displaystyle\iiint_R\mathrm dV=\int_{\theta=\pi/2}^{\theta=3\pi/2}\int_{r=0}^{r=7}\int_{z=r\cos\theta}^{z=0}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle\int_{\theta=\pi/2}^{\theta=3\pi/2}\int_{r=0}^{r=7}-r^2\cos\theta\,\mathrm dr\,\mathrm d\theta$
$=-\displaystyle\left(\int_{\theta=\pi/2}^{3\pi/2}\cos\theta\,\mathrm d\theta\right)\left(\int_{r=0}^{r=7}r^2\,\mathrm dr\right)$
$=\dfrac{2\times7^3}3=\dfrac{686}3$

4 0

3 years ago

A parachutist's rate during a free fall reaches 180 kilometers per hour. What is this rate in meters per second? At this rate, h

Bumek [7]

Answer:

50 m/s

250 m

Step-by-step explanation:

180 km/hr × (1000 m / km) × (1 hr / 3600 s) = 50 m/s

50 m/s × 5 s = 250 m

5 0

3 years ago

Help please and ill mark you brainliest :)

rodikova [14]

Answer:

n=100+0.05(460)

Step-by-step explanation:

She earns 100 dollars all the time. so its 100+ something

she also earns 5% of the tips, which in that case were 460$

you can repersent that as 0.05(460)

so: 100+0.05(460)

4 0

3 years ago