If he has $75 and need $93 to make the purchase, he needs to find the difference between what he needs and what he has:
93 - 75 = 18
He needs to borrow $18 to make the purchase.
Answer:
The answer is (b) moved right 3 units and moved down 3 units
Step-by-step explanation:
∵ f(x) = 4^x ⇒ red in the graph
∵ f(x) = 4^(x-3) - 3 ⇒ blue in the graph
∵ x becomes x - 3 ⇒ means:
The graph moved right 3 units
∵ f(x) = 4^x becomes 4^(x-3) - 3 ⇒ means:
The graph moved down 3 units
∴ The answer is (b)
This question is super simple when you sit down and think about what it's asking. What is the cost of the whole paving lot?
We know that the paving lot is 90 ft by 75 ft, we need to start by finding the area of the whole paving lot.
Area of a rectangle is Length multiplied by Width.
90 × 75 = 6,750
The area of the paving lot is 6,750 feet squared.
Now we need to find the cost of the paving lot, we know that one square yard costs $3.50 to pave.
We can solve this by first taking the step to finding how many yards are in the paving lot.
A yard is 3 feet so we'll divide the area of the paving lot by 3.
6,750 ÷ 3 = 2,250
With the paving lot having 2,250 square yards we can now multiply this by the $3.5 cost per square yard.
2,250 × 3.5 = 7,875
It should cost $7,875 dollars to pave the entire lot.
ANSWER

EXPLANATION
From the table the values of x, are on the left and the values of f(x) are on the right.
To find f(-1), we look for the value under f(x) that corresponds to x=-1.
This value is 0.
Therefore

Answer:
The correct option is the second option;
a. Division property of equality
b. Symmetric property of congruency
c. Multiplication property of equality
Step-by-step explanation:
a. For the equation in part a., we have;
6·a = 30
Therefore;
6·a/6 = 30/6
a = 5
Which is of the form, if a = b then a ÷ c = b ÷ c, which is the division property of equality
b. For the relationship in part b., we have;
∠ABC ≅ ∠LMN
∠LMN ≅ ∠ABC
The above relationship is of the form, if a ≅ b then b ≅ a, which is the symmetric property of congruency
c. For the equation in part c., we have;

Multiply both sides by 3, to get;

Cancel like terms on the left hand side of the equation, to get;
2·(x - 6) = 24
Which is of the form, if a = c, then a × c = b × c which is the multiplication property of equality