Answer:
$37,449
Step-by-step explanation:
<u>First convert 5% into a decimal</u>
.05
<u>Multiply the decimal by Alice's salary</u>
$39,420(.05)=1,971
<u>Now we subtract that answer from her salary this year</u>
$39,420-1,971=$37,449
<h3><u>
Alice's salary last year was $37,449</u></h3>
Answer:
y=-2x-4
Step-by-step explanation:
y-y1=m(x-x1)
y-0=-2(x-(-2))
y-0=-2(x+2)
y=-2x-4+0
y=-2x-4
Which statement best compares the maximum value of the two functions?
A. It is equal for both functions
B. It is 3 units higher for f(x) than g(x)
C. It is 3 units lower for f(x) than g(x)
D. It is 1 unit higher for f(x) than g(x)
Solution : D. It is 1 unit higher for f(x) than g(x)
Given:
f(x) = −5x^2 + 9
g(x) is 0 0 1 4 2 8 3 4 4 0
We make a table for f(x) as well. We use same x vales given in g(x)
We plug in x values and find f(x)
x -----> g(x) ----> f(x)
0 -----> 0 ---->9
1 -----> 4 ----> 4
2 -----> 8 ---->-11
3 -----> 4 ---->-36
4 -----> 0 ----> -71
From the table we can see that maximum value of g(x) is 8 and maximum value of f(x) is 9 that is 1 unit higher for f(x) than g(x)
Answer is option D.
Answer:
MG = 56
Step-by-step explanation:
The triangles EML and EGF are similar thus the ratios of corresponding sides are equal, that is
= 
, and substituting values
= 
( cross- multiply )
28(5x + 2) = 2016 ( divide both sides by 28 )
5x + 2 = 72 ( subtract 2 from both sides )
5x = 70 ( divide both sides by 5 )
x = 14
Thus
EG = 5x + 2 = 5(14) + 2 = 70 + 2 = 72
Hence
MG = EG - EM = 72 - 16 = 56
5:2:11=15:6:33
Multiply by 6/2=3
