4 years ago

Find f(-3) when f(x) = -x²+1

Mathematics

1 answer:

JulsSmile [24]4 years ago

3 0

Answer:

3x²- 1

Step-by-step explanation:

f(-3) when f(x) = -x²+1

(-x²+1) × -3

3x²- 1

You might be interested in

Square root of 9 I'll mark the 1st

Kitty [74]

Answer:

Step-by-step explanation:

4 0

3 years ago

If $95 is put in an account that gets 6% and I add $18 at the end of each year, how much will I have at the end of 11 years?

Temka [501]

6% of $95 = $5.70
multiply $5.70 by 11 years = $62.70 <— interest gained over 11 years
multiply $18 by 11 years = $198 <— total added over 11 years
add $95 + $62.70 + $198 = $355.70
there will be a total of $355.70 in your account after 11 years

7 0

3 years ago

Use a half-angle identity to find the exact value

Tatiana [17]

Given:

$\cos 15^{\circ}$

To find:

The exact value of cos 15°.

Solution:

$$\cos 15^{\circ}=\cos\frac{ 30^{\circ}}{2}$

Using half-angle identity:

$$\cos \left(\frac{x}{2}\right)=\sqrt{\frac{1+\cos (x)}{2}}$

$$\cos \frac{30^{\circ}}{2}=\sqrt{\frac{1+\cos \left(30^{\circ}\right)}{2}}$

Using the trigonometric identity: $\cos \left(30^{\circ}\right)=\frac{\sqrt{3}}{2}$

$$=\sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}}$

Let us first solve the fraction in the numerator.

$$=\sqrt{\frac{\frac{2+\sqrt{3}}{2}}{2}}$

Using fraction rule: $\frac{\frac{a}{b} }{c}=\frac{a}{b \cdot c}$

$$=\sqrt{\frac {2+\sqrt{3}}{4}}$

Apply radical rule: $\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}$

$$=\frac{\sqrt{2+\sqrt{3}}}{\sqrt{4}}$

Using $\sqrt{4} =2$ :

$$=\frac{\sqrt{2+\sqrt{3}}}{2}$

$$\cos 15^\circ=\frac{\sqrt{2+\sqrt{3}}}{2}$

5 0

4 years ago

A wall is 4 m by 3 m. Which is the correct unit of measurement to use when figuring out how much paint to buy to cover the wall?

7nadin3 [17]

The answer would be b

6 0

3 years ago

1000 test scores are approximately normally distributed with a mean of 60 and a standard deviation of 8, if a grade of B is assi

DIA [1.3K]

Answer:

Step-by-step explanation:

I took the test

8 0

3 years ago

Find f(-3) when f(x) = -x²+1​

Find f(-3) when f(x) = -x²+1