Answer:
It shows for each gallon consumed, we multiply by 30 to get the amount of miles
This applies for the three questions
Step-by-step explanation:
10 gallons and 300 miles are related in such a way that you divide the number if miles by number of gallons.
300/10 = 30 miles per gallon.
It shows for each gallon consumed, we multiply by 30 to get the amount of Miles.
5 gallons ad 150 miles related in such a way that you divide the number if miles by number of gallons.
150/5 = 30 miles per gallon.
It shows for each gallon consumed, we multiply by 30 to get the amount of Miles.
1 gallon and 30 miles related in such a way that you divide the number if miles by number of gallons.
30/1= 30 miles per gallon.
It shows for each gallon consumed, we multiply by 30 to get the amount of Miles.
Answer:
Step-by-step explanation:
Method 1:
First do the operation inside parenthesis
2*(4-3) = 2*1 = 2
Method 2:
Use distributive property: a*(b +c) = a*b + a*c
2*(4-3) = 2*4 - 2*3
= 8 - 6
= 2
Answer:
20100
Step-by-step explanation:
There are 200 numbers in this addition problem. To add this, we can do 1 + 200, 2 + 199, 3 + 198 and so on. All of these pairs have a sum of 201 and since there are 200 / 2 = 100 pairs the answer is 201 * 100 = 20100.
Answer:
see explanation
Step-by-step explanation:
the equation of parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier.
here (h, k ) = (3, 1 ) , then
y = a(x - 3)² + 1
to find a substitute any other point on the graph into the equation.
using (0, 7 )
7 = a(0 - 3)² + 1 ( subtract 1 from both sides )
6 = a(- 3)² = 9a ( divide both sides by 9 )
= 
= a
y = (x - 3)² + 1 ← in vertex form
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the equation of a parabola in factored form is
y = a(x - a)(x - b)
where a, b are the zeros and a is a multiplier
here zeros are - 1 and 3 , the factors are
(x - (- 1) ) and (x - 3), that is (x + 1) and (x - 3)
y = a(x + 1)(x - 3)
to find a substitute any other point that lies on the graph into the equation.
using (0, - 3 )
- 3 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )
1 = a
y = (x + 1)(x - 3) ← in factored form
