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3 years ago

7

Let f(x)=4x^2+6 . The function g(x) is f(x) translated 4 units down. Enter the equation for g(x) in the box. g(x) =

2 answers:

Dima020 [189]3 years ago

8 0

Answer: g(x)=4x^2+2. Hope this helps you pass!

saw5 [17]3 years ago

5 0

F(x)=4x²+6
This parabola intersects y-axis at y=6 ==>f(0) =
if g(x) is translated 4 units down that means the intersection with y-axis will be :

6-4 = 2 ; hence g(x) =4x² + 2

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Cos(−θ)=√3/3, sinθ<0

Delicious77 [7]

Answer:

$\sin\theta=-\frac{\sqrt{6}}{3}$

Step-by-step explanation:

The given trigonometric equation is $\cos(-\theta)=\frac{\sqrt{3} }{3}$ .

We can either use the Pythagorean identity or the right angle triangle to solve for $\sin\theta$ .

According to the Pythagorean identity,

$\cos^2\theta+\sin^2\theta=1$

Recall that, the cosine function is an even function, therefore

$\cos(-\theta)=\cos(\theta)$

$\Rightarrow \cos(\theta)=\frac{\sqrt{3} }{3}$ .

We substitute this value in to the above Pythagorean identity to get;

$(\frac{\sqrt{3}}{3})^2+\sin^2\theta=1$

$\Rightarrow \frac{3}{9}+\sin^2\theta=1$

$\Rightarrow \sin^2\theta=1-\frac{3}{9}$

$\Rightarrow \sin^2\theta=\frac{6}{9}$

$\Rightarrow \sin\theta=\pm \sqrt{\frac{6}{9}}$

$\Rightarrow \sin\theta=\pm \frac{\sqrt{6}}{3}$

But we were given that,

$\sin\theta\:$ , so we choose the negative value.

$\Rightarrow \sin\theta=-\frac{\sqrt{6}}{3}$

The correct answer is B

7 0

3 years ago

The floor of a room is being covered with tile. An area one half

tangare [24]

Answer:

Only the floor area $\frac{3}{8}$ has been covered

Step-by-step explanation:

Assuming that the floor of the room is rectangular, then its area is equal to the product of its length times its width.

$A = lw$

Let's now call A 'the area that was covered with tiles.

We know that half the length was covered, then:

$l' = \frac{1}{2}l$

$w' = \frac{3}{4}w$

So:

$A' = \frac{1}{2}l(\frac{3}{4}w)$

$A' = \frac{3}{8}lw$

Finally:

$A' = \frac{3}{8}A$

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3 years ago

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Sliva [168]

Answer:

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Step-by-step explanation:

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3 years ago

This week, Maria ate 60%, or 420 grams, of a jumbo

bearhunter [10]

Answer:

0.4 is left in the box

Step-by-step explanation:

1.00 = jumbo box of cereal

1.00-60%= 1-0.6=0.4

3 0

3 years ago

The graph of f(x) = x2 is shifted 3 units to the right to obtain the graph of g(x). Which of the following equations best descri

alexgriva [62]

Answer:

$g(x)=(x+3)^2$

Step-by-step explanation:

$f(x) = x^2$

The graph is shifted 3 units to the right

$(x+3)^2$

$g(x)=(x+3)^2$

5 0

3 years ago

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