Answer:
George and Carmen traveled 185 kilometers by bike and 115 kilometers by bus
Step-by-step explanation:
<u><em>The question is</em></u>
Find how many kilometers they traveled by bike
Let
x ----> kilometers traveled by bike
y ----> kilometers traveled by bus
we know that
They traveled 300 kilometers in total
so
----> equation A
They biked 70 kilometers more than they were bus
so
----> equation B
substitute equation B in equation A
solve for y
<em>Find the value of x</em>
therefore
George and Carmen traveled 185 kilometers by bike and 115 kilometers by bus
-14 I think is the answer because -2-3(-4) is the same as -2+(-3)x(-4)
The rest of the statement is (3x+1) = 3x²+22x+7.
The divisor is one factor, and the quotient is the second factor. The factors get multiplied to make the dividend.
Answer:
9
Step-by-step explanation:
Given that (1, 2) is the vertex of the function represented by the table of values above, the rate of change for the interval from x = 5 to x = 6.
f(5) = 18
f(6) = ?
=>Find f(6) using the vertex form function, f(x) = a(x - h)² + k
Where, h and k are the given vertex of the function = (1, 2).
h = 1, k = 2
Thus,
f(x) = a(x - 1)² + 2
Find the value of a by using any of the points given in the table.
Using (3, 6), we have the following,
6 = a(3 - 1)² + 2
6 = a(2)² + 2
6 = 4a + 2
Subtract 2 from both sides
6 - 2 = 4a
4 = 4a
Divide both sides by 4
1 = a
a = 1
Let's find f(6) using f(x) = a(x - 1)² + 2
Plug the value of a and x
f(6) = 1(6 - 1)² + 2
f(6) = 25 + 2
f(6) = 27
==>Find the rate of change/slope
f(5) = 18
f(6) = 27
Rate of change =
Rate of change = 9
