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MakcuM [25]
3 years ago
11

The equation d=4 -1/15t represents your distance from home,d, for each minute you walk,t. If you graphed this equation, determin

e whether you are walking toward or away from home and explain

Mathematics
1 answer:
Readme [11.4K]3 years ago
3 0

we have

d=4 -\frac{1}{15}t

using a graph tool

see the attached figure

For t=0 d=4 -------> the y-intercept

that means that at the time t=0 the house was four units away.

For t=60 min  d=0 -------> x-intercept

that means he was already at home at the time t=60 minutes.

therefore

the graph of this equation represents the walk towards the house

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Find the sum. Express your answer in simplest form.
Marina86 [1]

Answer:

\frac{10x^2+3}{y^2+4}

Step-by-step explanation:

When adding rational numbers, if the denominator is the same you simply keep the denominator (bottom of fraction) as it is and apply the operation given to the numerator ( top of fraction )

So we have \frac{6x^2+5}{y^2+4} +\frac{4x^2-2}{y^2+4} =\frac{(6x^2+5)+(4x^2-2)}{y^2+4}

==> remove parenthesis and apply signs

\frac{x^2+5+4x^2-2}{y^2+4}

==> simplify numerator by combining like terms

\frac{10x^2+3}{y^2+4}

and we are done!

Note:

like terms are terms with the same variable and exponent

An example of like terms are 6x^7 and 3x^7 as they have x as a variable and a power of 7

The like terms being combined here were (6x² and 4x²) and (5 and -2)

7 0
2 years ago
Read 2 more answers
Please help will mark brainliest
asambeis [7]

The total cost of the tent is 409.86

------------------------------------------------------

explanation:

230×0.65=149.50

230+149.50=379.50×.08=30.36

379.50+30.36=409.86

(Hope this helps :) )

5 0
2 years ago
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Justin has $500 in a savings account at the beginning of the summer. He wants to have at least $300 in the account by the end of
SSSSS [86.1K]

Answer:

10 weeks

Step-by-step explanation:

1 because 20 times 10 is 200 and if he starts with 500 then he can withdraw 20 dollars a week for 10 weeks to have 300 left by the end of the summer, hope this helps :)

3 0
3 years ago
Jim leaves the gym running 5 mph. Ten minutes later Bob leaves the gym on his bike traveling at a speed of 8 mph. how long will
podryga [215]

Answer:

26 2/3 minutes:  The two boys meet after 26 2/3 minutes

Step-by-step explanation:

Distance covered by Jim = Distance covered by Bob

     (5 mph)(t)                      = (8 mph)(t - 10)

Simplify this by performing the indicated multiplication:

           (5 mph)(t)                 = (8 mph)(t) - 80 mi

or:

                 80 mi                 = (3 mph)(t), or

     80 mi

t = ----------- = 26 2/3 minutes

     3 mph

7 0
3 years ago
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A student says that (-1, 2) is a solution of y=3x-2 Are they correct or incorrect? Why?
Nina [5.8K]

Answer:

If you substitute (-1,2) meaning x and y

2=3(-1)-2

2=-3-2

2= -1

Step-by-step explanation:

he's incorrect since the solution does not equal 2 on both sides

3 0
3 years ago
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