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diamong [38]
3 years ago
12

Jahier's Bikes rents bikes for $20.00 plus $5.00 per hour. Daniel paid $35.00 to rent a bike. For how

Mathematics
1 answer:
babunello [35]3 years ago
3 0

Answer: 3 Hours

Step-by-step explanation:

Daniel first paid for her bike, which was 20 dollars. Then she used it for 3 hours, because 20 dollars+5 dollars+5 dollars+5 dollars equals 35 dollars.

Hope this helps!

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Which statement describes the inverse of m(x) = x^2 – 17x?
DochEvi [55]

Given:

The function is

m(x)=x^2-17x

To find:

The inverse of the given function.

Solution:

We have,

m(x)=x^2-17x

Substitute m(x)=y.

y=x^2-17x

Interchange x and y.

x=y^2-17y

Add square of half of coefficient of y , i.e., \left(\dfrac{-17}{2}\right)^2 on both sides,

x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2

x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2

x+\left(\dfrac{17}{2}\right)^2=\left(y-\dfrac{17}{2}\right)^2        [\because (a-b)^2=a^2-2ab+b^2]

Taking square root on both sides.

\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}

Add \dfrac{17}{2} on both sides.

\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y

Substitute y=m^{-1}(x).

m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}

We know that, negative term inside the root is not real number. So,

x+\left(\dfrac{17}{2}\right)^2\geq 0

x\geq -\left(\dfrac{17}{2}\right)^2

Therefore, the restricted domain is x\geq -\left(\dfrac{17}{2}\right)^2 and the inverse function is m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}.

Hence, option D is correct.

Note: In all the options square of \dfrac{17}{2} is missing in restricted domain.

7 0
3 years ago
What is 2 X (6+ 2 + 8) -4
VladimirAG [237]

Answer:

The correct answer is 32x - 4

Step-by-step explanation:

1) Simplify 6 + 2 to 8.

2x(8 + 8) - 4

2) Simplify 8 + 8 to 16.

2x \times 16 - 4

3) Simplify 2x × 16 to 32x.

32x - 4

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>32x</u><u> </u><u>-</u><u> </u><u>4</u>.

4 0
3 years ago
I need help with this question
tia_tia [17]

Answer:

98 in.^2

Step-by-step explanation:

The lateral area is the sum of the areas of the 3 rectangular sides.

The triangular sides are the bases.

lateral area = 7.2 in. * 5 in. + 3 in. * 5 in. + 9.4 in. * 5 in.

lateral area = 36 in.^2 + 15 in.^2 + 47 in.^2

lateral area = 98 in.^2

3 0
2 years ago
What are the steps to covert the answer into a mixed fraction of this problem 45 x 3/8= 135/8
riadik2000 [5.3K]
1. Divide 135 by 8 which is equal to 16
2. Multiply 16 ×8 = 128
3. Subtract 135 - 128 =7

The seven represent the numerator so it would be 7/8.

The finally answer would be

16 \ \frac{7}{8}
7 0
3 years ago
Equivalent fraction for ½.
labwork [276]

Answer:

2/4

Step-by-step explanation:

half/whole for any number really

5 0
3 years ago
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