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3 years ago

Create a graph of the combined function h(x)=f(x)+g(x) in which f(x)=x+6

Mathematics

1 answer:

White raven [17]3 years ago

3 0

Answer:

Step-by-step explanation:

You must share g(x).

Working with what you've already shared:

h(x) = f(x) + g(x)

= x + 6 + g(x)

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Write a quadratic function in vertex form whose graph has the vertex

ELEN [110]

Answer:

y = $\frac{1}{2}$ (x - 5)² - 2

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (5, - 2), thus

y = a(x - 5)² - 2

To find a substitute (7, 0) into the equation

0 = a(7 - 5)² - 2

0 = 4a - 2 ( add 2 to both sides )

2 = 4a ( divide both sides by 4 )

a = $\frac{2}{4}$ = $\frac{1}{2}$

y = $\frac{1}{2}$ (x - 5)² - 2 ← in vertex form

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2 years ago

What is the y-intercept of the line whose equation is y=-x-2?

dalvyx [7]

Answer:

-2

Step-by-step explanation:

If we have an equation of the form y = mx +b then the y-intercept is b.

So now here we have y =-x - 2. Therefore b = -2 and we conclude the y-intercept is -2.

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3 years ago

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Find the mode of the following list of points earned on a 16 point quiz given during a finance class.

koban [17]

Answer:

Step-by-step explanation:

The mode is the most repeated number in the data set. In this case, that is 7 because it's repeated 3 times.

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3 years ago

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Find the length of the arc of the circular helix with vector equation r(t) = 2 cos t i + 2 sin t j + tk from the point (2, 0, 0)

USPshnik [31]

$\vec r(t)=2\cos t\,\vec\imath+2\sin t\,\vec\jmath+t\,\vec k$

$\implies\vec r'(t)=-2\sin t\,\vec\imath+2\cos t\,\vec\jmath+\vec k$

$\implies\|\vec r'(t)\|=\sqrt{(-2\sin t)^2+(2\cos t)^2+1^2}=\sqrt5$

Then the length of the arc is

$\displaystyle\int_0^{2\pi}\|\vec r'(t)\|\,\mathrm dt=\sqrt5\int_0^{2\pi}\mathrm dt=2\sqrt5\,\pi$

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3 years ago

In rectangle PQRS, PR = 18x – 28 and QS = x + 380. Find the value of x and the length of each diagonal.

Flauer [41]

Diagonals of a rectangle are congruent.

18x - 28 = x + 380

Solving for x, I get 17.

So, x = 17.

PR = 18x - 28

PR = 18(17) - 28

PR = 278

QS = x + 380

QS = 17 + 380

QS = 397

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2 years ago

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Create a graph of the combined function h(x)=f(x)+g(x) in which f(x)=x+6​

Create a graph of the combined function h(x)=f(x)+g(x) in which f(x)=x+6