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3 years ago

If p(x)=2x^2-4 and q(x)=x-3, what is (p•q)(x)

1 answer:

6 0

(p of q)(x) means that q(x) is inserted into p(x).

p(q(x)) = 2(x - 3)^2 - 4

Expand (x - 3)^2.

p(q(x)) = 2(x^2 - 6x + 9) - 4

p(q(x)) = 2x^2 - 12x + 14

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You want to paint the walls of your bedroom. Two walls measure 15 ft by 9 ft, and the other two walls measure 18 ft by 9 ft. The

sertanlavr [38]

Answer:

The total amount you will spend on the paint=$34

Step-by-step explanation:

Step 1: Determine total area of walls

The total area of walls=Area of wall 1+area of wall 2+area of wall 3+area of wall 4

where;

area of wall 1=(15×9)=135 ft²

area of wall 2=(15×9)=135 ft²

area of wall 3=(18×9)=162 ft²

area of wall 4=(18×9)=162 ft²

replacing;

Total area of walls=(135×2)+(162×2)=594 ft²

Total area of walls=594 ft²

Step 2: Number of gallons of paint needed

Use the expression;

Total area of walls=area per gallon cans×number of gallon cans needed

where;

total area of walls=594 ft²

area per gallon=400 ft²

number of gallons=n

replacing;

594=400×n

n=594/400

n=1.485

Total number of gallon cans=1.485=2 gallon cans

Step 3: Total cost

The total cost of painting can be expressed as;

Total cost=cost per gallon can×number of gallon cans needed

where;

Cost per gallon=$17

number of gallon cans needed=2

replacing;

Total cost=(17×2)=$34

The total amount you will spend on the paint=$34

8 0

3 years ago

The rate is 320 feet per hour, 320 feethour . The hiking team descended the mountain from 1 pm to 5 pm. The net change is a ____

deff fn [24]

Answer:

The correct answer is "decrease, 1,280 feet".

Step-by-step explanation:

The given values are:

Rate or speed,

= 320 feet per hour

1 pm to 5 pm means,

t = 5 - 1

= 4 hours

Now,

The net change in distance will be:

⇒ $\Delta D=-320\times 4 \ feet$

⇒ $=-1280 \ feet$

Thus the above is the correct approach.

8 0

3 years ago

3. In A PQR, MZP=(4x-5),

aleksklad [387]

Answer:

Step-by-step explanation:

The sum of all of them will result in 180. 15x-45=180. x=15. P=55, Q=70 and R=55. It's an isosceles triangle

7 0

3 years ago

Solve the equation and this is an assignment btw

lilavasa [31]

Answer:

z=6 and z=-6

Step-by-step explanation:

$7z^2=252$

Divide both sides by 7

$\frac{7z^2}{7} =\frac{252}{7} \\z^2=36$

Find the square root

z=±√36

z=±6

Therefore, z=6 and z=-6.

I hope this helps!

4 0

3 years ago

3x^2-5=43 how do i solve this using the square root property

slava [35]

Answer:

x = 4

x = -4

Step-by-step explanation:

bro i dont know but i hope this help a little, sorry

4 0

3 years ago