Answer:
x = 8
Step-by-step explanation:
If j(x) = -5
j(x) = 3 - x
-5 = 3 - x
x = 3 + 5
x = 8
7(8) -5(8)
= 8* (7-5) (distributive property)
= 8*2
= 16
The final answer is 16~
Answer:
Step-by-step explanation:
Function representing the bacterial growth has been given as,
a). Here 1200 represents the initial number of bacteria taken for the study (1).
b). 1.8 represents the growth factor by which the population of the bacteria is multiplying.
c). Second study is modeled by the function given as,
Here, initial population of bacteria = 1000
Difference in 1200 and 1000 in two studies means → Second study was conducted on 1000 bacteria while in study (1) number of bacteria were 1200.
Answer:
1 quart of oil is $2.
Step-by-step explanation:
Represent the problem with equations.
let x be a quart of oil and g be a gallon of gasoline
(1) 24.5 = 10g + x
(2) 22 = 8g + 2x
We need to solve this system of equations to get x.
I can solve by elimination by making both equations have 2x.
Multiply equation (1) by 2. Equation (2) remains the same.
(1) --> 49 = 20g + 2x
(2) 22 = 8g + 2x
Subtract (2) from (1) to get:
27 = 12g <= isolate g
g = 27/12
g = 9/4
Substitute g = 9/4 in (2)
22 = 8g + 2x
22 = 8(9/4) + 2x
Now simplify and isolate x.
22 = 18 + 2x
2x = 4
x = 2
x represents one quart of oil.
Therefore, one quart of oil is $2.
