Answer:
(1) For x = –12, g (x) = -9
For x = –9, g (x) = -3
For x = –6, g (x) = 3
For x = –3, g (x) = 9
(2) The principal amount of money is $80.
Step-by-step explanation:
(1)
The expression of g (x) is,
![g(x)=2x+15](https://tex.z-dn.net/?f=g%28x%29%3D2x%2B15)
The complete table is:
x g (x)
-15 ![2(-15)+15=-15](https://tex.z-dn.net/?f=2%28-15%29%2B15%3D-15)
-12 ![2(-12)+15=-9](https://tex.z-dn.net/?f=2%28-12%29%2B15%3D-9)
-9 ![2(-9)+15=-3](https://tex.z-dn.net/?f=2%28-9%29%2B15%3D-3)
-6 ![2(-6)+15=3](https://tex.z-dn.net/?f=2%28-6%29%2B15%3D3)
-3 ![2(-3)+15=9](https://tex.z-dn.net/?f=2%28-3%29%2B15%3D9)
0 ![2(0)+15=15](https://tex.z-dn.net/?f=2%280%29%2B15%3D15)
(2)
The formula for simple interest is:
![I=P\times r\times t](https://tex.z-dn.net/?f=I%3DP%5Ctimes%20r%5Ctimes%20t)
Given:
I = $40
r = 10%
t = 5 years.
Compute the value of <em>P</em> as follows:
![I=P\times r\times t](https://tex.z-dn.net/?f=I%3DP%5Ctimes%20r%5Ctimes%20t)
![P=\frac{I}{r\times t}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7BI%7D%7Br%5Ctimes%20t%7D)
![=\frac{40}{0.10\times 5}\\\\=80](https://tex.z-dn.net/?f=%3D%5Cfrac%7B40%7D%7B0.10%5Ctimes%205%7D%5C%5C%5C%5C%3D80)
Thus, the principal amount of money is $80.
Answer:
A
Step-by-step explanation:
if it is at least -27 it will be greater than or equal to -27
Answer:
x = 18.4
y = 22.5
Step-by-step explanation:
to find 'x':
x = √13² + 13²
x = √169 + 169
x = √338
x = 18.4
to find 'y':
y² = 13² + (√338)²
y² = 169 + 338
y² = 507
y = √507
y = 22.5
Answer:
a) 2x+3
b) 5x-7
c) 2x-10
d) 3x/2
Step-by-step explanation:
the number considered is x