Answer:
The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.
Step-by-step explanation:
Due to the assumption of a yearly average rate, a linear function model shall be used. The expected amount of jobs (
) after a certain amount of years (t) is given by the following formula:
Where:
- Initial amount of jobs in pipe fitting industry, measured in thousands.
- Average yearly rate, measured in thousands per year. (A decline is indicated by a negative sign)
If 
, 
and 
, then:
The percent change in jobs from pipe fitting industry is calculated as follows:
The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.
The ratio of their age is 3:7.
Step-by-step explanation:
Given,
10 years ago, the ratio of two brothers was 1:4
After 14 years the ratio will be 4:7
To find the ratio of their present age.
Let,
10 years age their age was x and 4x
So, now their age is (x+10) and (4x+10)
14 years from now their age will be (x+10+14) and (4x+10+14)
That is x+24 and 4x+24
According to the problem,
x+24 : 4x+24 = 4:7
or, 
or, 7(x+24) = 4(4x+24)
or, 7x+168 = 16x+ 96
or, 16x-7x = 168-96
or, 9x = 72
or, x = 8
Hence,
Their present age is (8+10) and (4×8+10) = 18 and 42
Hence,
The ratio of their age is 18:42 = 3:7
Answer:
No.
Step-by-step explanation:
Compare g(x) = (x – 2)^3 + 7 to f(x) = (x - h)^3 + k. Here, h denotes horizontal translation and k denotes vertical translation. Translation to the left by 2 units would be (x + 2)^3 + 7. Translation to the right by 2 units would be (x - 2)^3 + 7. So, no, Tia's description of horiz. translation is incorrect.
However, her adding 7 does denote a positive vertical translation.
Answer:
Step-by-step explanation:
multiplication:)
The Answer is B:
y=3(0.5)
y=1.5
y=3(2)
y=6
