3) 5.6 + 0.18 - x = 0.4x

F(x)= x+3 h(x)= x^2+4 Find (f•h)(x)

Dmitrij [34]

Answer:

x³+3x²+4x+12

Step-by-step explanation:

you are going to write both equations and distribute. if there are like terms, combine them and then put it order.

(x + 3) × (x² + 4)

x³ + 4x + 3x² + 12

when putting in order, you want the highest power to the left and then the lowest power to the right.

so

x³+3x²+4x+12

4 0

3 years ago

The area of the triangle below is ? Sq. Units A. 66 B . 33 C . 50 D . 25

kykrilka [37]

Answer:

The answer is B.

Step-by-step explanation:

You have to apply the area of triangle formula :

$area = \frac{1}{2} \times base \times height$

$let \: base = 22 \\ let \: height = 3$

$area = \frac{1}{2} \times 22 \times 3$

$area = 11 \times 3$

$area = 33 \: {units}^{2}$

6 0

3 years ago

Read 2 more answers

Which of the following is not a factor of x^3 – 3x^2 – 4x + 12?

Slav-nsk [51]

Answer:

c. (x + 3)

Step-by-step explanation:

using factor theorem

if x - 3 is a factor then p(a) = 0

p(a)= x^3 - 3x^2 - 4x + 12

a.(x-3)

p(3) = (3)^3 - 3(3)^2 - 4(3) + 12

= 27 - 27 - 12 + 12

= 0

therefore x-3 is a factor

b.(x + 2)

p(-2) = (-2)^3 - 3(-2)^2 - 4(-2) + 12

= -8 -12 + 8 + 12

,= 0

therefore x + 2 is a factor

c.(x + 3)

p(-3) = (-3)^3 - 3(-3)^2 - 4(-3) + 12

= -27 -27 + 12 + 12

= -30

therefore x + 3 is not a factor

d.(x-2)

p(2) = (2)^3 - 3(2)^2 - 4(2) + 12

= 8 -12 - 8 + 12

= 0

therefore x - 2 is a factor

4 0

3 years ago

the gasoline gauge on a van initially read 1/8 full. When 15 gallons were added to the tank the gauge read 3/4 full. How many mo

Nostrana [21]

So 15 gallons of gas brought it from 1/8 full to 3/4 full.

Let's change 3/4 to the equivalent fraction 6/8 so that the denominators are the same. (3/4 = 6/8)

So 15 gallons of gas brought it from 1/8 to 6/8 Those 15 gallons must be 5/8 of the tank's capacity 6/8 - 1/8 = 5/8

So 15 is 5/8 of what number? (This will tell us the capacity of the whole tank)

15 = 5/8n
Divide both sides by 5/8 (remembering to multiply by the reciprocal 8/5)
15 ÷ 5/8 = 15 x 8/5 = 18

So the tank holds 24 gallons and (since it is 3/4 full or has 18 gallons) it needs 6 gallons to fill the tank.

Check - at first 1/8 full (1/8 of 24 = 3) So we started with 3 gallons. 15 gallons added to the 3 gallons is 18 gallons. Now the tank is 6/8 (3/4 full). The remaining 1/4 (2/8) of a tank is the difference between 18 and it's capacity (24 gallons) so it will need 6 gallons to fill it up..

3 0

3 years ago

The ratio of the volume of soda in glass A to the volume of glass B is 8/3 to 7/2

MrRa [10]

Answer:

Total volume in the two glasses is 740 mL.

Step-by-step explanation:

Given:

Ratio of the volume of soda in glass A to the volume of glass B = 8/3 : 7/2

Volume of soda in glass A = 320mL

To Find :

The total volume in the two glasses = ?

Solution:

Let the volume of soda in glass B be x

then

$\text{ratio of soda in glass A} \times \text{ the volume of soda in glass B} = \text{ratio of soda in glass B} \times \text{ the volume of soda in glass A}$