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3 years ago

If f(x) = 2x to the second power - 10, find f(5)

Mathematics

1 answer:

Aleksandr [31]3 years ago

7 0

F(5) = 2(5)^2 - 10
f(5) = 2(25) - 10
f(5) = 50 - 10
f(5) = 40

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Solve AABC. Round your answers to the nearest hundredth, if necessary

Aloiza [94]

Answer:

$C=25^{\circ},\\a\approx 10.72,\\b\approx 11.83$

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees. Thus, angle C must be $180-90-65=25^{\circ}$ .

In any triangle, the Law of Sines is given by $\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}$ .

Therefore, we have:

$\frac{\sin 90^{\circ}}{b}=\frac{\sin 25^{\circ}}{5},\\\\b=\frac{5\sin90^{\circ}}{\sin 25^{\circ}}=11.8310079158\approx \boxed{11.83}$

$\frac{a}{\sin 65^{\circ}}=\frac{5}{\sin25^{\circ}},\\a=\frac{5\sin 65^{\circ}}{\sin25^{\circ}}=10.7225346025\approx \boxed{10.72}$

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3 years ago

Which of the following is an arithmetic sequence?

zimovet [89]

$-8~~,~~\stackrel{-8+2}{-6}~~,~~\stackrel{-6+2}{-4}~~,~~\stackrel{-4+2}{-2}\qquad \begin{cases} a_1=-8\\ d = +2 \end{cases}$

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2 years ago

Solve each system by elimination.<br> 10x-6y=-8<br> -10x+6y=8

Step2247 [10]

Answer:

Infinitely Many Solutions

Step-by-step explanation:

$10x-6y=-8\\-10x+6y=8\\\0 = 0\\$

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2 years ago

(x+3)(2x-1) whats the product im sooo confused

Elodia [21]

Answer: 2x

 +5x−3

Step-by-step explanation:

−x+6x−3

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8 0

3 years ago

Read 2 more answers

Concider the functions: f(x)= (2/3)x and g(x)=(2/3)x-3+2. Which statement is true regarding the vertical and horizontal translat

ioda

The function g(x) is a translation to the right of 3 units and up 2 units of f(x), so the correct option is B.

<h3>Which statement is true regarding the vertical and horizontal translations from f(x) to g(x)?</h3>

For a given function f(x), we can write a vertical translation of n units as:

g(x) = f(x) + n

If n < 0, the translation is downwards.
if n > 0, the translation is upwards.

And a horizontal translation of n units as:

g(x) = f(x + n).

if n > 0, the translation is to the left.
if n < 0, the translation is to the right.

Here we have:

f(x) = (2/3)*x

g(x) = (2/3)*(x - 3) + 2

By comparing it with the general translations, we conclude that we have a traslation of 3 units to the right and 2 units up.

So the correct option is B.

If you want to learn more about translations:

brainly.com/question/24850937

#SPJ1

4 0

2 years ago