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3 years ago

What is the slope of the line described by the equation below?

Mathematics

2 answers:

hoa [83]3 years ago

8 0

Answer:

(D) 4

Step-by-step explanation:

In order to find the slope you need to rearrange the equation so that y is alone on one side, so:

4x - y = 3

-y = -4x + 3

y = 4x - 3

The slope is the coefficient in front of x, so the slope is 4

postnew [5]3 years ago

5 0

Answer: 4

Step-by-step explanation: First convert the equation to y = mx + b form.

Start by subtract 4x from both sides to get -y = -4x + 3.

From here, divide both sides by -1 to get y = 4x - 3.

Now in y = mx + b form, the slope is the multiplier, or the <em>m</em>.

So here, 4 is the slope.

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What does > −2 indicate about the positions of and −2 on the number line?

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4 years ago

Solve the inequality -5x<15

swat32

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3 years ago

Read 2 more answers

The table shows the hourly cookie sales by students in grades 7 and 8 at the school's annual bake sale. Grade 7 Grade 8 20 21 15

Naddika [18.5K]

Answer:

1. The interquartile range for the grade 7 data is 6.

2. The interquartile range for the grade 8 data is 6.

3. The difference of the medians of the two data sets is 2.

4. The difference is about 1/3 times the interquartile range of either data set.

Step-by-step explanation:

The hourly cookie sales by students in grades 7 and 8 at the school's annual bake sale is given by the following table.

Grade 7 Grade 8

20 21

15 29

30 14

24 19

18 24

21 25

The data set for grade 7 is

20, 15, 30, 24, 18, 21

Arrange the data in ascending order.

15, 18, 20, 21, 24, 30

Divide the data in four equal parts.

(15), 18, (20), (21), 24,( 30)

$Q_1=18, Median=\frac{20+21}{2}=20.5, Q_3=24$

The interquartile range for the grade 7 data is

$IQR=Q_3-Q_1=24-18=6$

Therefore the interquartile range for the grade 7 data is 6.

The data set for grade 8 is

21, 29, 14, 19, 24, 25

Arrange the data in ascending order.

14, 19, 21, 24, 25, 29

Divide the data in four equal parts.

(14), 19, (21), (24), 25, (29)

$Q_1=19, Median=\frac{21+24}{2}=22.5, Q_3=25$

The interquartile range for the grade 8 data is

$IQR=Q_3-Q_1=25-19=6$

Therefore the interquartile range for the grade 8 data is 6.

The difference of the medians of the two data sets is

$D=22.5-20.5=2$

Therefore the difference of the medians of the two data sets is 2.

Let the difference is about x times the interquartile range of either data set.

The IQR of each data is 6.

$D=x(IQR)$

$2=x(6)$

$\frac{2}{6}=x$

$\frac{1}{3}=x$

Therefore the difference is about 1/3 times the interquartile range of either data set.

8 0

3 years ago

What are the explicit equation and domain for an arithmetic sequence with a first term of 5 and a second term of 2?

tigry1 [53]

General equation is

an = a1 + (n-1)d where a1 = first term and d = common difference

here d= 2-5 = -3 and a1 = 5

so an = 5 -3(n-1) is the explicit equation required.

4 0

4 years ago