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elena-14-01-66 [18.8K]
3 years ago
14

Y = 15x + 10, where y is the total cost of renting 1 bicycle on the boardwalk for x hours. Determine whether the function is pro

portional or non-proportional. Explain.
Mathematics
1 answer:
vova2212 [387]3 years ago
4 0

Answer:

The function is non-proportional.

Step-by-step explanation:

If the function was proportional, when the number of hours spent riding the bicycle is equal to 0, the total cost of renting the bicycle would also be 0. In other words, the function would be proportional if y=0 when x=0. However, this is not the case.

y=15x+10

Plug 0 into the equation as x

y=15(0)+10\\y=10

When 1 bicycle has been rented for 0 hours, the customer still has to pay 10 dollars just for renting it. When x=0, y=10. This means that the function is non-proportional.

I hope this helps!

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(3/5)^2+4X3-2 what is the value of the expression
Sliva [168]

Answer:

10.36

Step-by-step explanation:

So your solution would be:

(\frac{3}{5})^{2} + 4 \times 3 - 2

=(\frac{3}{5})^{2} + 4 \times 3 - 2

=\dfrac{3^{2}}{5^{2}} + 4 \times 3 - 2

=\dfrac{9}{25} + 4 \times 3 - 2

=0.36 + 4 \times 3 - 2

=0.36 + 12 - 2

=12.36 - 2

=10.36

Just try to remember PEMDAS.

Parenthesis, Exponent, Multiplication/Division, Addition/Subtraction.

This is the order we follow when going about expressions with many operations.

Let's start with the parenthesis part. Notice that there is an exponent beside the parenthesis enclosing the fraction. Here we use the quotient to a power rule. We distribute the exponent to the numerator and the denominator.

=(\frac{3}{5})^{2} + 4 \times 3 - 2\\

=\dfrac{3^{2}}{5^{2}} + 4 \times 3 - 2

=\dfrac{9}{25} + 4 \times 3 - 2

Now that we got the parenthesis and exponent out of the way, let's move on to the next. Multiplication/Division. Whichever comes first, you do it first.

We have a fraction so we do that first. Then we do the multiplication after.

=0.36 + 4 \times 3 - 2

=0.36 + 12 - 2

Next we do the addition/subtraction. Again, whichever comes first.

=12.36 - 2

=10.36

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3 years ago
Which expression is equivalent to StartFraction 28 p Superscript 9 Baseline q Superscript negative 5 Baseline Over 12 p Superscr
lara31 [8.8K]

Answer:

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Step-by-step explanation:

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nika2105 [10]

Answer:

The volume of this rectangular prism is D. 60cm^{3}.    

Step-by-step explanation:

In order to find the volume of a rectangular prism, we need to multiply the length by the width, and then multiply their product by the height of the prism. We can write what I said above as a formula...

V = l × w × h    

(In the formula above "V" is the volume, "l" is the length, "w" is the width, and "h" is the height).

Now we just substitute the values into the formula and we get...

V = l × w × h    

V = 4cm × 3cm × 5cm

V = 60cm^{3}

Therefore, the volume of this rectangular prism is D. 60cm^{3}.    

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3 years ago
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Step-by-step explanation:

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What basic trigonometric identity would you use to verify that
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Given the equation:

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Let's determine the trigonometric identity that you could be used to verify the exquation.

Let's determine the identity:

Apply the trigonometric identity:

\sin ^2x+\cos ^2x=1

\cos x=\frac{1}{\sec x}

Replace cosx for 1/secx

Thus, we have:

\begin{gathered} \frac{\sin^2x+\cos^2x}{\frac{1}{\sec x}} \\  \\ =(\sin ^2x+\cos ^2x)(\sec x) \\ \text{Where:} \\ (\sin ^2x+\cos ^2x)=1 \\  \\ We\text{ have:} \\ (\sin ^2x+\cos ^2x)(\sec x)=1\sec x=\sec x \end{gathered}

The equation is an identity.

Therefore, the trignonometric identity you would use to verify the equation is:

\cos ^2x+\sin ^2x=1

ANSWER:

\cos ^2x+\sin ^2x=1

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