All categories

3 years ago

I need help with this question

Mathematics

1 answer:

maw [93]3 years ago

7 0

Answer:

a. 2

b. x^2 + 10x + 26

c. x^2 + 2x + 2

Step-by-step explanation:

For each part, replace x with the value you are given and simplify.

f(x) = x^2 - 2x + 2

f(2) = 2^2 - 2(2) + 2 = 2

f(x + 6) = (x + 6)^2 - 2(x + 6) + 2

= x^2 + 12x + 36 - 2x - 12 + 2

= x^2 + 10x + 26

f(-x) = (-x)^2 - 2(-x) + 2

= x^2 + 2x + 2

You might be interested in

Help please !!!vyfukfyfbnnn

liubo4ka [24]

Answer:

Step-by-step explanation:

x equals 4 when y equals 9 on that line

7 0

3 years ago

5 x 20 x a³ = 72900 what does a equal

Basile [38]

Answer:

Step-by-step explanation:

a^3=72900/100

a=(729)^1/3

a=9

3 0

3 years ago

What's -3 1/8 divided by -1 2/3?

choli [55]

1.875 is what you are looking for.

4 0

3 years ago

Read 2 more answers

Un cono ha l'area laterale di 255 pigreco cm^2, l'apotema di 17 cm e pesa 900 pigreco g. Calcola il peso specifico del materiale

valkas [14]

Answer:

The specific weight is $1.5\frac{g}{cm^{3}}$

Step-by-step explanation:

The question in English

A cone has a lateral area of 255 pi cm^2, an apothem of 17 cm and weighs 900 pi g. It calculates the specific weight of the material of which it is composed

step 1

Find the radius of the cone

we know that

The lateral area of a cone is equal to

$LA=\pi rl$

we have

$LA=255\pi\ cm^{2}$

$l=17\ cm$

substitute the values

$255\pi=\pi r(17)$

Simplify

$255=r(17)$

$r=255/(17)=15\ cm$

step 2

Find the height of the cone

Applying the Pythagoras Theorem

$l^{2} =r^{2} +h^{2}$

substitute the values and solve for h

$17^{2} =15^{2} +h^{2}$

$h^{2}=17^{2}-15^{2}$

$h^{2}=64$

$h=8\ cm$

step 3

Find the volume of the cone

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2}h$

substitute the values

$V=\frac{1}{3}\pi (15)^{2}(8)$

$V=600\pi\ cm^{3}$

step 4

Find the specific weight

Divide the mass by the volume

$\frac{900\pi }{600\pi}=1.5\frac{g}{cm^{3}}$

4 0

4 years ago

HElp fasttttttttttttttttttttttttt

Eduardwww [97]

9514 1404 393

Answer:

-0.16

Step-by-step explanation:

The 'a' value can be found by looking at the difference between the y-value of a point 1 unit from the vertex, and the y-value of the vertex.

Here, that is a negative fraction of a unit. If we assume the value is a rational number that can be accurately determined from this graph, then we can find it by looking for a point where the graph crosses a grid intersection. It looks like such grid points are (-7, 0) and (3, 0). The vertex is apparently (-2, 4), so the vertex form of the equation is ...

y = a(x +2)^2 +4

Using the point (3, 0), we have ...

0 = a(3 +2)^2 +4 . . . . . fill in the values of x and y

-4 = 25a . . . . . . . . . . subtract 4; next, divide by 25

a = -4/25 = -0.16

7 0

3 years ago