Answer:
1) 
2) 
3) 
4) 40
5) 
Step-by-step explanation:
1) Distribute the negative sign that is outside the parentheses and then you must add like terms, as following:
2) According to the Product property of exponents, when you multiply powers with the same base, you must add the exponents. Then:
3) Apply the Distributive property and the Product property of exponents. Then, you obtain:
4) 
is a square of a sum, then, by definition you have:
Then:
The coefficient of the second term is the number in front of the variable <em>a.</em> Then, the answer is: 40
5) Apply the Distributive property and the Product property of exponents, then, oyou must add the like terms:
<em>x = - 9</em>
- Step-by-step explanation:
<em>6x + 10 = 4x - 8</em>
<em>6x - 4x = - 10 - 8</em>
<em>2x = - 18</em>
<em>x = - 18 : 2</em>
<em>x = - 9</em>
Answer:
No
Step-by-step explanation:
No function, because the same output can't have two different inputs.
Answer:
a) 
where "
" stands for the number of miles driven.
b) He can drive as far as 250 miles to keep the rental cost limited to $140.
Step-by-step explanation:
a) Robert wants to make sure that the addition of the costs coming from the car rental per week ($91) plus the amount paid for the coverage of "x" number of miles (which goes as $0.14 times x) does not exceed $140 (which is the same as saying that this total cost must be smaller than or equal to $140.
In math terms, such is written as:
where "x" stands for the number of miles driven.
b) the total number of miles (x) he is allowed to cover given the $140 restriction is obtained by solving for "x" (the number of driven miles) in the inequality of part a):
which tells us that the number of driven miles (x) has to be smaller or equal to 350 miles. Then he can drive as far as 250 miles to keep the rental cost limited to $140.
