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devlian [24]
3 years ago
14

If f(x) = 2x² + 5x - 1; g(x) = x + 3, find the following.

Mathematics
1 answer:
Irina18 [472]3 years ago
3 0
F/g(x) = (2x^2 + 5x - 1)/(x + 3)

f/g(4) = (2(16) + 5(4) -1)/(4 + 3)
         = (32 + 20 -1)/7
         = 51/7
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A balloon is 300 feet above a cliff. The angle of depression to the cliff edge is 40° 30'. What is the horizontal distance from
photoshop1234 [79]
May be the vertical distance is 300.
and let horizontal distance be h.
angle of depression (from the balloon) to edge of cliff = 40.5°
so,
tan(40.5)=h/300
h= 300*tan(40.5)
since, tan(45°)=1, tan(40.5°) must be smaller than one as tan(x) is a increasing function.
so 300*tan(40.5°) must be less than 300
therefore the horizontal distance is 256 ft
3 0
3 years ago
if $95 is put in an account that gets 6% and I add $18 per year how much will I have at the end of 11 years?
VLD [36.1K]
First, you need to get the 6% of $95 which would be: $5.70. Then you need to multiply $5.70 to 11 to know how much of the 6% of $95 will be added at the end of 11 years. It will leave you with $62.70. Since you're adding $18 per year, you need to multiply it by 11 which would be $198. Now that you calculated all the money you will be having at the end of 11 years, you just need to add them all up. Since you have already $95 + $62.70 + $198 = $355.70. The total money you will be having is $355.70.
5 0
3 years ago
Please solve for a, b, and c
rusak2 [61]

The table is:
Number of washes denoted by x: 0, 8, 12
Amount left on card denoted by y: 30, 18, 12
 
a.       Write an equation that shows the amount of dollars left on the card
Solution:
18 – 30 divided by 8 – 0 = -12/8
On simplest form is -3/2
 
The equation is y = -3/2x + 30
 
b.      Explain the meaning of the negative slope above.
As the number of car washes increase, the dollars left on the card decreases.
 
c.       What is the maximum value of x?
0 = -3/2x + 30
2/3 x 3/2 x = 30/1 x 2/3
Cancel 2/3 x 3/2 and reduce 30 by 3 we get 10, 10 x 2
x = 20

Read more on Brainly.com - brainly.com/question/7171213#readmore
3 0
3 years ago
A school has 300 students.If the ratio of boys to girls is 31 to 44, how many more girls are there in the school?
garri49 [273]

Answer:

there would be 52 more girls I think

Step-by-step explanation:

let x = multiplier then

31x =number of boys

44x = number of girls

Boys + girls = 300

44x + 31x =300

75x = 300

x = 300/75

x = 4 is the multiplier

therefore:

44*4 = 176 girls

31*4 = 124 boys

dif = 52 more girls than boys

hope this helped :)

5 0
2 years ago
The calling convention should be such that every function is caller-independent. What does that mean
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Cover job is indecent with the xo batial cap variable,
4 0
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