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borishaifa [10]
3 years ago
8

Find the area of area of a rectangle with with sides 8 + 2x and 3+ x.

Mathematics
1 answer:
netineya [11]3 years ago
3 0

Answer:

Area = 2x^2 + 14x + 24

Step-by-step explanation:

You could set up an expression (2x + 8) * (x + 3), where you multiply 2x by x, 2x by 3, 8 by x, 8 by 3, and then add them all up. 2x * x  = 2x^2, 2x * 3 = 6x, 8 * x = 8x, and 8 * 3 = 24. 2x^2 + 6x + 8x + 24 = 2x^2 + 14x + 24, so that is your answer.

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Use the remainder theorem to find the remainder of 2x^4 + x^2 - 10x -1 divided by x +2.
I am Lyosha [343]

Answer:

The remainder is 55

Step-by-step explanation:

Let

p(x)= 2 {x}^{4}  +  {x}^{2}  - 10x - 1

According to the remainder theorem, if p(x) is divided by x+a, the remainder is p (-a).

The given divisor is x+2, therefore the remainder is given by:

p( - 2)

We substitute x=-2 to get:

p( - 2)= 2 {( - 2)}^{4}  +  {( - 2)}^{2}  - 10( - 2) - 1

We simplify to obtain:

p( - 2)= 2  \times 16 +  4  +  20- 1

We multiply to get:

p( - 2)=3 2  +  4  +  20- 1 = 55

Therefore the remainder is 55

4 0
3 years ago
A rental car agency charges $12 per day plus 14 cents per mile to rent a certain car. Another agency charges $15
Sav [38]

Answer:

The cost of renting will be the same for 200 miles.

Step-by-step explanation:

Let n the number of miles and C be the cost. We can represent the cost equations for each companies:

A: C = 12 + 0.09n

B: C = 8 + 0.11n

They want to know when the cost will be the same, so we can set the above 2 equations equal to each other and solve for n:

12 + 0.09n = 8 + 0.11n

0.02n = 4

n = 200

3 0
3 years ago
Can someone plz help me answer this asap<br> due today plz <br> 8+x−6−5=8x+1−3x
kykrilka [37]

Isolate the variable by dividing each side by factors that don't contain the variable.
x = −1
4 0
3 years ago
Read 2 more answers
the manager of a cafe bought hazelnut coffee beans for $7.00 per pound, and vanilla coffee beans for $4.00 per pound. she bought
Ann [662]
The answer is E because if you take 60 pounds of hazel nut coffee you spend 420$ and that would leave 30 pounds of vanilla left which equals 120$ and if you and those two numbers you get the sum of how much money she spent on coffee. 
3 0
3 years ago
A company charges $211.25 for 5 trees and 15 shrubs. The company charges $15.25 more for a tree than a shrub. How much does each
dusya [7]
(a+15.25)=x cost of each tree
(a•15)=110 cost of all the shrub
(x•5)= 101.25 cost of all trees
110+101.25= 211.25

equatiin all together
[(a+15.25)×5]+(a×15)=211.25

7 0
3 years ago
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