Answer:
Step-by-step explanation:
f(x)= (x - 3)(x - 5)
f(x) = x^2 - 5x - 3x + 15
f(x) = x^2 - 8x + 15
Answer is A
Answer: BM = 21.4
Step-by-step explanation:
Considering the given triangle BMS, to determine angle BM, we would apply the sine rule. It is expressed as
m/SinM = s/SinS = b/SinB
Where m, s and b are the length of each side of the triangle and angle M, Angle S and angle B are the corresponding angles of the triangle.
From the information given,
Angle M = 102°
Angle B = 35°
Angle S = 180 - (102 + 35) = 43°
b = MS = 18
s = BM
Therefore
18/Sin 35 = BM/Sin 43
Cross multiplying, it becomes
BMSin35 = 18 × Sin 43
BM × 0.5736 = 18 × 0.6820
0.5736BM = 12.276
Dividing the left hand side and the right hand side of the equation by 0.5736, it becomes
0.5736BM/0.5736 = 12.276/0.5736
BM = 21.4
Answer:

In 2025,the number of students at the villages high school=1159
Step-by-step explanation:
We are given that in 2018
Number of students at the villages high school=975
Increasing rate,r=2.5%=0.025
We have to write and use of exponential growth function to project the populating in 2025.

According to question
Number of students at the villages high School is given by

Substitute the values

t=7
Substitute the value
Then, the number of students at the villages high school in 2025

I would try drawing the line on a coordinate plane to help.
If I use the gym for x hours in a month, the total cost in terms of x will be 1000 + x.
a. Monthly membership fee = $100
Additional amount charged = $1 per hour.
If I use the gym for x hours in a month, the total cost in terms of x will be:
= 1000 + 1(x)
= 1000 + x
b. Also, if the amount charged is $35 per month and $3.50 per hour, the total cost will be:
= 35 + 3.50(x)
= 35 + 3.5x
c. The number of hours that will give same cost will be:
1000 + x = 35 + 3.5x
Collect like terms.
1000 - 35 = 3.5x - x
965 = 2.5x
x = 965/2.5
x = 386
In 386 hours, the total cost will be the same.
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