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PolarNik [594]
3 years ago
14

HELP HELP HELP HELP HELP HELP

Mathematics
1 answer:
Airida [17]3 years ago
3 0
D: (1,-1) is your answer because on graph that’s were both lines cross each other
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Let y=f(x)=(3x+7)/(x-2) <br> find a rule for f^-1
Murrr4er [49]

Answer:

f^{-1}(x)=\frac{2x+7}{x-3}.

Step-by-step explanation:

The given function is f(x)=\frac{3x+7}{x-2},\:x\ne2.

We want to find a rule for f^{-1}(x).

Let y=\frac{3x+7}{x-2}.

Interchange x and y.

x=\frac{3y+7}{y-2}.

Solve for y.

x(y-2)=3y+7.

Expand

xy-2x=3y+7.

Group y-terms

xy-3y=7+2x.

Factor

(x-3)y=7+2x.

y=\frac{2x+7}{x-3}.

\therefore f^{-1}(x)=\frac{2x+7}{x-3},\:x\ne3.

8 0
3 years ago
The elevation of city A is 72 feet above sea level; the elevation of City C is 24 feet above sea level. The elevation of city D
emmasim [6.3K]

Answer:

<h2> D=C/4</h2>

Step-by-step explanation:

Given that elevation of the cities are

A=72 feet

C=24 feet

D=1/4 of C

The expression for the elevation of city D is

D=C/4

substituting C=24 in the expression we have

D=24/4

D=6

The answer is positive because the elevation is above sea level

7 0
4 years ago
Yvette is considering taking out a loan with a principal of $16,200 from one of two banks. Bank F charges an interest rate of 5.
umka21 [38]
Hi there
First find the monthly payment of each offer to see which monthly payment is lower
The formula of the present value of annuity ordinary is
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
Pv present value
PMT monthly payment
R interest rate
K compounded monthly 12
N time
Solve the formula for PMT
PMT=pv÷[(1-(1+r/k)^(-kn))÷(r/k)]

Bank F
PMT=16,200÷((1−(1+0.057÷12)^(
−12×8))÷(0.057÷12))
=210.53

Bank G
PMT=16,200÷((1−(1+0.062÷12)^(
−12×7))÷(0.062÷12))
=238.21

From the above the monthly payment of bank f is lower than the bank g
And since the lifetime of bank g is lower than bank f the answer is
b. Yvette should choose Bank F’s loan if she cares more about lower monthly payments, and she should choose Bank G’s loan if she cares more about the lowest lifetime cost.

Good luck!


6 0
3 years ago
If 12 roses cost 18.96 what is the cost of 5 roses
Alina [70]
18.96 / 12 = 1.58

1.58 = the cost of 1 rose

1.58 X 5 = $7.9
6 0
3 years ago
Describe how to write 2,915,000,000 in scientific notation
Goshia [24]

Answer:

2.915 × 10^9

Step-by-step explanation:

you count the from right to left since its a positive number until you get one number in front. That's where you place your decimal. Since there's 9 numbers behind the 2 it will be 10 to the power of 9.

5 0
3 years ago
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