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Vladimir [108]
3 years ago
11

PLEASE HELP, THIS IS LAST QUESTION AND I WANNA GO TO BED

Mathematics
1 answer:
Anettt [7]3 years ago
7 0

Answer:

x^4 -x^3 -4x^2-3

Step-by-step explanation:

f(x)=x^4−x^2+9  

g(x)=x^3+3x^2+12

(f−g)(x)= x^4−x^2+9 - (x^3+3x^2+12)

 Distribute the minus sign

(f−g)(x)= x^4−x^2+9 - x^3-3x^2-12

I like to line them up vertically

x^4        −x^2+9

    - x^3 -3x^2-12

---------------------------

x^4 -x^3 -4x^2-3

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What is the qoutient of 1/6 and 2/9
beks73 [17]

Answer:

\frac{3}{4}

Step-by-step explanation:

To find the quotient, we first need to know what quotient means.

Quotient is the solution to division problems.

So here is how we have to do this, first we identify our fractions:

\frac{1}{6}   and    \frac{2}{9}

Next, we must turn the fraction we are dividing by into a reciprocate:

\frac{2}{9} turns into \frac{9}{2}

Now we have \frac{1}{6} and \frac{9}{2}

Next, we multiply!:

\frac{1}{6} x \frac{9}{2} = \frac{9}{12}

Simplified:

\frac{3}{4}

8 0
3 years ago
Read 2 more answers
The sum of the cube of a number and 12
Black_prince [1.1K]
Let the "number" be n.

The expression would be n^3+12
3 0
3 years ago
The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. The length of the h
Alex17521 [72]

Answer:

Step-by-step explanation:

Let x represent the length of the hypotenuse.

Let y represent the length of the the shorter leg.

Let z represent the length of the longer leg.

The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. It means that

z = 2y + 20

The length of the hypotenuse is 22 inches more than twice the length of the shorter leg. It means that

x = 2y + 22

We would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

(2y + 22)² = y² + (2y + 20)²

(2y + 22)(2y + 22) = y² + (2y + 20)(2y + 20)

= 4y² + 44y + 44y + 484 = y² + 4y² + 40y + 40y + 400

4y² + 88y + 484 = y² + 4y² + 80y + 400

4y² + 88y + 484 = 5y² + 80y + 400

5y² - 4y²+ 80y - 88y + 400 - 484

y² - 8y - 84 = 0

y² + 6y - 14y - 84 = 0

y(y + 6) - 14(y + 6)

y - 14 = 0 or y + 6 = 0

y = 14 or y = - 6

The shorter length cannot be negative hence y = 14 inches

The length of the shorter side is 14 inches.

The length of the hypotenuse is

(2 × 14) + 22 = 50 inches

The length of the longer side is

(2 × 14) + 20 = 48 inches

7 0
3 years ago
Lucas and his three brothers opened a bag with 48 cookies there are 16 cookies left if each boy ate the same number of cookies h
FrozenT [24]

Answer:

each boy ate 8 cookies

Step-by-step explanation:

48-16=32

32 divided by 4=8

so each of them ate 8 cookies

5 0
3 years ago
G(x) = 4x + 2
mojhsa [17]

Answer:

4x \times 2x + 4x \times 5 + 2 \times 2x + 2 \times 5 = 8x {}^{2} + 24x + 10

6 0
3 years ago
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