21.
So to solve for the value of a variable in an equation, you would need to isolate x on one side. The first thing you have to do is multiply 2 and (x + 7) together, which can be rewritten as 2(x) + 2(7). After multiplying, your equation would be:
, or A.
22.
So the rule with multiplying exponents with the same base is to add the exponents together, and the rule with dividing exponents with the same base is to subtract the exponents. Your equation will be simplified as such:

Now the rule with converting negative exponents into fractions is
. In this case, 4^-2 would turn into
, or C, which is your final answer.
Answer: D
Step-by-step explanation:
Using the equation plot in the coordinates of the points to see if they fit the equation.
5x-3y < 30
A) 5(-3) -3(5) < 30
-15 -15 < 30
-30 < 30 This is true
B) 5(0) -3(0) < 30
0 - 0 < 30
0< 30 This is true
C) 5(-5) - 3(3) < 30
-25 - 9 < 30
-34 < 30 This is also true
D) 5(3) - 3(-5) < 30
15 + 15 < 30
30 < 30 This is not true because 30 is not greater that 30
Answer:
(0,-2)
Step-by-step explanation:
First we find the equation of the line passes through
and
.
The slope of the line is

So by the point slope formula the equation of the line is

When
we have
.
Therefore the line joining the two points cuts the y-axis at (0,-2).
Answer:
16
Step-by-step explanation:
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381 meters because you divide 1250 by 3.281 and you get 381 meters