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Elza [17]
3 years ago
11

The number of kilometers Tony travels in a canoe, d, varies directly with the amount of time spent in the canoe, t. When Tony ca

noes for 2.25 h, he travels 9 km. Which equation shows this direct linear variation?
d = 4t
d = 2t
d = 2.25t
d = 4 + t
Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0

Answer:

d= 4t

Step-by-step explanation:

to find distance, the equation is speed multiplied by time and in this question we are given the time and distance so we have to divide 9km by 2.25hrs to find the speed: 9÷2.25= 4 so, the equation would be d=4t which means that to find distance we need to multiply 4 by the time.

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<img src="https://tex.z-dn.net/?f=f%28x%29%3D%7C3x-5%7C%2B7x%5C%5Cg%28x%29%3D-2x%2B9%5C%5Cwhat%20is%20%5C%5C%20%28f%2Bg%29%28x%2
Sergio [31]

Given:

The functions are:

f(x)=|3x-5|+7x

g(x)=-2x+9

To find:

The function (f+g)(x).

Solution:

We have,

f(x)=|3x-5|+7x

g(x)=-2x+9

We know that,

(f+g)(x)=f(x)+g(x)

On substituting the values of given functions, we get

(f+g)(x)=|3x-5|+7x+(-2x+9)

(f+g)(x)=|3x-5|+7x-2x+9

(f+g)(x)=|3x-5|+5x+9

Therefore, the required function is (f+g)(x)=|3x-5|+5x+9.

7 0
2 years ago
An item was purchased for m dollars. Sales tax is 8%. Write an expression that represents
Luba_88 [7]

Answer:

m/100 x 8

Step-by-step explanation:

7 0
3 years ago
In which of the number lines does the plotted point represent a number greater than -1 1/2? Check all that apply.
Nikitich [7]

Hi!

The first number line is equals to -1\frac{1}{2}

The second number line is equals to \frac{-1}{2}

The third number line is equals to -2\frac{1}{2}

The fourth number line is equals to 2

The fifth number line is equals to 0

The sixth number line is -2\frac{3}{4}

The answer is; second, fourth and fifth number lines.

<em></em>

<em>I hope, I could help.</em>

<em>Wish Good Lessons! ^-^</em>

6 0
3 years ago
Read 2 more answers
Factor 2x^2 + 7x + 3
Vlad1618 [11]

Answer: (x - 3) (2x-1)

8 0
3 years ago
Read 2 more answers
What is the answer for 4y^2=81
Elena L [17]
<span><u><em>Answer:</em></u>
either y = 4.5
or y = -4.5

<u><em>Explanation:</em></u>
To get the solution, we will need to isolate the y on one side of the equation.
<u>This can be done as follows:</u>
4y</span>²<span> = 81

</span>\frac{4y^2}{4} =  \frac{81}{4}
<span>
y</span>²<span> = 20.25

y = +/- </span>√(20.25)<span>
either y = +</span>√<span>(20.25) = 4.5
or y = -</span>√<span>(20.25) = -4.5

Since there are no restrictions on the value of y, therefore, both answers would be accepted

Hope this helps :)</span>
3 0
3 years ago
Read 2 more answers
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