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Rom4ik [11]
2 years ago
13

Which line is parallel to the line that passes through the points (1, 7) and (-3, 4)?

Mathematics
1 answer:
Viktor [21]2 years ago
5 0

Answer:

B

Step-by-step explanation:

The slope of the line that passes through the given points is (4-7)/(-3-1) = 3/4.

Since parallel lines have equivalent slopes, the answer is B.

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PLEASE HELP!!!!<br><br> f(x)= {____for____<br> {____for____
hammer [34]

9514 1404 393

Answer:

  f(x)=\left\{\begin{array}{ccc}3&\text{for}&-5\le x < 0\\1-x&\text{for}&0

Step-by-step explanation:

The left section is defined at x = -5, but not at x = 0, so the interval for that definition is -5 ≤ x < 0. The function value on that interval is constant: 3.

The right section is defined a x = 5, but not at x = 0, so the interval for that definition is 0 < x ≤ 5. That section is a straight line with a slope of -1 and a y-intercept of 1. The function value on that interval can be written -x+1.

Then the piecewise definition is ...

  f(x) = {3, for -5 ≤ x < 0; -x+1, for 0 < x ≤ 5}

8 0
3 years ago
A person places $103 in an investment account earning an annual rate of 1.9%, compounded continuously. Using the formula V = P e
Advocard [28]

Answer:

$115.36

Step-by-step explanation:

Given data

P=$103

r=1.9%

t= 6 years

The expression for the amount is given as

V = P e ^{r t}

substitute

V = 103*e^{0.019 *6}

V = 103*e^{0.114}\\\\V = 103*1.120\\\\V = 115.36\\\\

Hence the final amount is $115.36

7 0
3 years ago
Roger claims that the two statistics most likely to change greatly when an outlier is added to a small data set are the mean and
Leni [432]

Answer:

No, the Roger’s claim is not correct.

Step-by-step explanation:

We are given that Roger claims that the two statistics most likely to change greatly when an outlier is added to a small data set are the mean and the median.

This statement by Roger is incorrect because the median is unaffected by the outlier value and only the mean value gets affected by the outlier value.

As the median represents the middlemost value of our dataset, so any value which is an outlier will be either at the start or at the end will not the median value. So, the median will not likely change when an outlier is added to a small data set.

Now, the mean is the average of all the data set values, that is the sum of all the observations divided by the number of observations. The mean will get affected by the outlier value because it take into account each and every value of the data set.

Hence, the mean will likely to change greatly when an outlier is added to a small data set.

7 0
4 years ago
The sum of two consecutive integers is 145145. find the two integers.
Serhud [2]
1st integer: x
2nd integer: x+1 

Add them up: 2x+1= 145145 
2x= 145146
x=72,573 

Answer; 
1st integer: 72573
2nd integer; 72,574 

Rate high and send a personal message if you want more help with math. 
6 0
3 years ago
A tire shop filled 3.5 tires with air. It took 3 3/5 seconds to fill them. How long would it take to fill 10 tires?
SOVA2 [1]
It would take approximately 10.286 seconds to fill 10 tires
3 0
3 years ago
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