Answer:
Increment in property per year ;
Slope of a linear function
Kindly check explanation for the rest of the answers.
Step-by-step explanation:
The rate of change is the increment in property value per year ; $220
Thsi corresponds to the gradient or slope of a linear function
If 1980 = x and x = 0
Recall :
y = bx + c
Where, b = slope = 220
x = year
y = property threshold
c = intercept value
In 1980, x = 0
y - intercept.
Put x = 0 into the equation :
4190 = 220x + c
4190 = 220(0) + c
4190 = c
3.)
The linear function becomes :
y = 220x + 4190
Property threshold in 2010:
x = 2010 - 1980 = 30
y = 220(30) + 4190
y = 6600 + 4190
y = 10,790
Property threshold in 2010
Year it will exceed 15000
15000 = 220x + 4190
15000 - 4190 = 220x
10810 = 220x
x = 10810 / 220
x = 49.136
That is, property threshold will exceed 15000 after 50 years
1980 + 50 = 2030
Year 2030
2x² + 5x + 2 = 9
2x² + 5x + 2 - 9 = 9 - 9
2x² + 5x - 7 = 0
x = <u>-5 +/- √(5² - 4(2)(-7))</u>
2(2)
x = <u>-5 +/- √(25 + 56)</u>
4
x = <u>-5 +/- √(81)
</u> 4<u>
</u>x = <u>-5 +/- 9
</u> 4
x = <u>-5 + 9</u> x = <u>-5 - 9</u>
4 4
x = <u>4</u> x = <u>-14</u>
4 4
x = 1 x = -3.5
<u />
Answer:
because it's an odd exponent
Step-by-step explanation:
-2^3 = -(2*2*2)
(-2)^3 = (-2)*(-2)*(-2)
if it was ^4 the sign would be flipped:
-2^4 = -(2*2*2*2) = -16
(-2)^4 = (-2)*(-2)*(-2)*(-2) = 16
Its either a or c but im not sure plz make sure to hit the thank u button
The answer is -3, Choice 1 because you only need to care about the x values, so what do you add/subtract from 8 you get 5? So the answer is -3