Hello!
We have the following expression:
Let's multiply and simplify it, look:
We multiply a*a*a, so we can rewrite it as a³. The same with b*b as b².
So, the answer in the simplified form is:
6a³ + 4b²
What you do is to substitute the first number for x and the second for y:
(x+7)y=10
a):
(-9+7)*-5=10
(-2)*-5=10
10=10
yes, it's a solution!
b)
(-8+7)10=10
-1*10=10
-10=10
no, not a solution!
c) (-2+7)2=10
5*2=10
yes, a solution!!
d) (3+7)*5=10
50=10
no, not a solution!
The slope (m) of a line is found from
... m = (change in y)/(change in x)
... m = (22 - 0)/(-8-3) = 22/-11 = -2
The point-slope form of the equation for a line with slope m through point (h, k) can be written
... y = m(x -h) +k
We can use the pont (h, k) = (3, 0) and fill in the values:
... y = -2(x -3) +0
... y = -2x + 6 . . . . . . . simplified
<h3>Part A</h3>
<u>Car 1</u>
- 26000 - 32000 = 32000 - 38000 = -6000
- Since the difference is common this is a linear function
<u>Car 2</u>
- 32300/38000 = 27465/32300 = 0.85
- Since the ratio is common this is an exponential function
<h3>Part B</h3>
<u>Car 1</u>
<u>Car 2</u>
<h3>Part C</h3>
Find V(6) for both cars and compare
<u>Car 1</u>
- V(6) = 38000 - 6*6000 = 2000
<u>Car 2</u>
- V(6) = 38000*0.85⁶ = 14331.68
As we see the difference is significant and car 2 has much greater value
4 x 100
100 + 100 + 100 + 100
400
four hundred
40 x 10
