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Natasha_Volkova [10]
3 years ago
12

Carl is on the school track team. To prepare for an upcoming race, he plans to run 207 miles total over the next 31 days. Write

an equation to determine how many miles, m, he needs to run per day, assuming he runs the same amount each day.
Mathematics
1 answer:
Mkey [24]3 years ago
8 0
207 divide 31 = 6.7 miles per day
y= days
x= distance
y=6.7
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Find an equation of the line passing through the given points (1,-3) and (3,3)
chubhunter [2.5K]

ANSWER: y= 3x - 6

STEP-BY-STEP EXPLANATION:

(1,-3) and (3,3)

X1=1           X2=3

Y1= - 3       Y2=3

1) Find the slope of the line.

To find the slope of the line passing through these two points we need to use the slope  formula:

m = \frac{Y2-Y1}{X2-X1}

m= \frac{3-(-3)}{3-1}   m=\frac{6}{2} = 3

2)Use the slope to find the y-intercept.

Now that we know the slope of the line is 3 we can plug the slope into the equation and  we get:

y= 3x+b

Next choose one of the two point to plug in for the values of x and y. It does not matter  which one of the two points you choose because you should get the same answer in either  case. I generally just choose the first point listed so I don’t have to worry about which  one I should choose.

y= 3x+b       point (1,-3)

-3= 3(1) + b

-3-3=b

-6=b

3)Write the answer.

Using the slope of 3 and the y-intercept of -6 the answer is:

y = 3x - 6

6 0
3 years ago
Solve and check. 73/4=X/8 A 1/4 B 62 C 1/62 D 4
Bingel [31]
In the given question the equation given has only one variable and that is "x". So it is possible to find the exact value of x.
73/4 = X/8
We can write the given equation in an easier way for proper solving.
4 * X = 73 * 8
4X = 584
X = 584/4
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The value of X comes out to be 146. So the options given here cannot be the correct options.
4 0
3 years ago
Read 2 more answers
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notsponge [240]

Answer:

6,-2,7,0

Step-by-step explanation:

Use the equation and plug in values

f(1)=1+5

y=6

--

3=x+5

x=-2

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f(2)=2+5

y=7

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5=x+5

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4 0
3 years ago
Random-digit dialing is often used to select telephone survey samples. This technique randomly selects the last four digits of a
MissTica

Answer:

Non-response bias

Step-by-step explanation:

Selection bias in a survey occurs when individuals are selected in a disproportionate way such that the samples obtained do not represent the true population to be studied or interviewed. An example of a selection bias that can occur from Random-digit dialing is the non-response bias.

Participants who are to be selected for surveys must be eligible or suitable for the purpose of the experiment. If the survey is trying to measure the effect of stress on parents, there is a possibility that through random-digit dialing, homes might be called at times when parents are on a work trip. This inability to get the response of eligible subjects for the survey is a form of selection bias.  

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elena55 [62]

Answer:

Step-by-step explanation:

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