3 years ago

I need help with this

Mathematics

1 answer:

adoni [48]3 years ago

6 0

Answer is D
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Please help ASAP !!!!!

pochemuha

Answer:

(goh) (0) = 4

Step-by-step explanation:

Given that,

g(x) = 2x

h(x) = x² + 4

We need to find the value of (goh) (0).

Firstly we find (goh),

(goh) = g(h(x))

=g(x²+4)

(goh) (0) = 0²+4

Hence, the required answer is 4.

7 0

3 years ago

Which is equation of an ellipse of an ellipse with directrices at x=4 and foci at (2,0) (-2,0)

r-ruslan [8.4K]

Answer:

$\frac{x^2}{8} + \frac{y^2}{4}=1$

Step-by-step explanation:

The directrices in this case are vertical lines, so we have a horizontal ellipse. The equation for that ellipse is:

$\frac{(x - h)^2}{a^2} + \frac{(y-k)^2}{b^2}=1$

The center of the ellipse is (h,k), the diretrix is x = d and the foci are given by (h+c, k) and (h-c, k)

So, comparing the foci, we have that k = 0 and:

$h + c = 2$

$h - c = -2$

Adding these two equations, we have:

$2h = 0$

$h = 0$

$c = 2$

We can find the value of a^2 using the property:

$c / a = a / d$

Using c = 2 and d = 4, we have:

$a^2 = c * d$

$a^2 = 8$

Now, to find b^2, we use the property:

$a^2 = b^2 + c^2$

$8 = b^2 + 4$

$b^2 = 4$

So the equation of the ellipse is:

$\frac{x^2}{8} + \frac{y^2}{4}=1$

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3 years ago

The function f(x) = ( )* is translated up 4 units. Which equation represents the translated function?

kupik [55]

Answer:

Step-by-step explanation:

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3 years ago

Tom has a 4-sided spinner and the table below shows the probabilities

qaws [65]

Answer:

0.3

Step-by-step explanation:

it's the only one not there

8 0

3 years ago

Prove if xy=yz and z does not equal zero, then x=y

iogann1982 [59]

Xy=yz: if you divide each side by y, you get: xy/y=yz/y; so x=z. Since x=z, if you multiply both variables by the same number, they will still equal. Let this number be y: xy=zy. Hope this hels! :)

7 0

4 years ago