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3 years ago

If g of x equals x squares minus 1, find g of 2

Mathematics

2 answers:

Naddik [55]3 years ago

8 0

Answer:

g(2) =3

Step-by-step explanation:

g(x) = x^2 -1

Let x=2

g(2) = 2^2 -1

=4-1

Sergio039 [100]3 years ago

5 0

Answer:

g(2) = 3

Step-by-step explanation:

g(x) = x² - 1.

Substituting 2 for x in this formula, we get:

g(2) = 2² - 1, or g(2) = 3

You might be interested in

Seperate the number 53 into 3 parts so that the second number is 3 less than the first number and the third number is twice the

irga5000 [103]

Hello,

Let a the first, b the second and c the third.
a+b+c=53
b=a/3
c=2a
==>a+a/3+2a=53
==>10a/3=53
==>a=15.9
c=2*a=2*15.9=31.8
b=a/3=15.9/3=5.3

Proof: a+b+c=15.9+5.3+31.8=53

The second number is 5.3

7 0

3 years ago

I need help with this V-4=v+2+7v-42 ??

zubka84 [21]

Answer:

$\boxed{\bold{v \ = \ \frac{36}{7}}}$

Step-by-step explanation:

Subtract v from both sides

$\bold{v-4-v=v+2+7v-42-v}$

Simplify

$\bold{-4=2+7v-42}$

Switch sides

$\bold{2+7v-42=-4}$

Group like terms

$\bold{7v+2-42=-4}$

Subtract the numbers: 2 - 42 = -40

$\bold{7v-40=-4}$

Add 40 to both sides

$\bold{7v-40+40=-4+40}$

Simplify

$\bold{7v=36}$

Divide both sides by 7

$\bold{\frac{7v}{7}=\frac{36}{7}}$

Simplify

➤ $\bold{v=\frac{36}{7}}$

5 0

3 years ago

The Quotient 250 divided by 5/8 tells about how far a sloth may move in one hour How far can a sloth go in 90 minutes?

Hunter-Best [27]

Given condition is:

A sloth moves in one hour = $\frac{250}{5/8}$

$\frac{5}{8}=0.625$

So, a sloth moves in one hour = $\frac{250}{0.625}=400 units$

Hence, in 60 minutes a sloth moves = 400

In 1 minute sloth will move = $\frac{400}{60}$

In 90 minutes it will move = $\frac{400}{60}\times90=600$

The answer is 600 units.

4 0

3 years ago

Read 2 more answers

Please help me out :)

Tomtit [17]

(f+g)(x)=5x-6+x^2-4x-8
A.(f+g)(x)=x^2+x-14 is correct:)

5 0

3 years ago

The snack shop makes 3 mixes of nuts in the following proportions.

Julli [10]

Answer:

$A=\begin{bmatrix}6 & 5 & 3\\ 2 & 3 & 4\\ 2 & 2 & 3\end{bmatrix}$

$B=\begin{bmatrix}25\\ 18\\ 35\end{bmatrix}$

Step-by-step explanation:

It is given that the snack shop makes 3 mixes of nuts in the following proportions.

Mix I: 6 lbs peanuts, 2 lbs cashews, 2 lbs pecans.

Mix II: 5 lbs peanuts, 3 lbs cashews, 2 lbs pecans.

Mix III: 3 lbs peanuts, 4 lbs cashews, 3 lbs pecans.

they received an order for 25 of mix I, 18 of mix II, and 35 of mix III.

We need to find the matrices A & B for which AB gives the total number of lbs of each nut required to fill the order.

Mix I Mix II Mix III

peanuts 6 5 3

cashews 2 3 4

pecans 2 2 2

$A=\begin{bmatrix}6 & 5 & 3\\ 2 & 3 & 4\\ 2 & 2 & 3\end{bmatrix}$

$B=\begin{bmatrix}25\\ 18\\ 35\end{bmatrix}$

The product of both matrices is

$AB=\begin{bmatrix}6 & 5 & 3\\ 2 & 3 & 4\\ 2 & 2 & 3\end{bmatrix}\begin{bmatrix}25\\ 18\\ 35\end{bmatrix}$

$AB=\begin{bmatrix}6\cdot \:25+5\cdot \:18+3\cdot \:35\\ 2\cdot \:25+3\cdot \:18+4\cdot \:35\\ 2\cdot \:25+2\cdot \:18+3\cdot \:35\end{bmatrix}$

$AB=\begin{bmatrix}345\\ 244\\ 191\end{bmatrix}$

Therefore matrix AB gives the total number of lbs of each nut required to fill the order.

8 0

3 years ago