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nadezda [96]
3 years ago
14

A line has a slope of $-7$ and contains the point $(3,0)$. The equation of this line can be written in the form $y = mx+b$. What

is the value of $m+b$?
Mathematics
1 answer:
IRISSAK [1]3 years ago
5 0

Answer:

  14

Step-by-step explanation:

In point-slope form, the equation with slope -7 through point (3, 0) can be written ...

  y = -7(x -3) +0

  y = -7x +21 . . . . . eliminate parentheses

Here, we can see m=-7 and b=21, so ...

  m+b = -7+21 = 14

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What is the best first step to write this linear equation in slope-intercept form?
attashe74 [19]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx+b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

According to the statement we have the following equation:

y- \frac {2} {3} x = 4

To write the equation of the slope-intersection form we must add\frac {2} {3} xto both sides of the equation:

y- \frac {2} {3} x +\frac {2} {3} x = \frac {2} {3} x+4\\y = \frac {2} {3} x+4

Answer:

The correct option is option C

6 0
4 years ago
To paint a house, two painters are hired. The first painter can paint the entire house in ten hours. The second painter will nee
wel
There is a formula you can use:
Time = (Worker1 * Worker2) / (Worker1 + Worker2)
Time = (10 * 6) / (10 + 6)
Time = 60 / 16
Time = 3.75 hours





7 0
3 years ago
The outer edge of the dime is about 55mm. What is the approximate length of the radius?
lozanna [386]
To find the approximate length of the radius, you will use the formula for finding the circumference of a circle and solve for the radius (r).

C = 2 x pi x r
55 = 2 x 3.14 x r
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6.28   6.28
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The approximate radius is 9.2 mm.
3 0
3 years ago
The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed
NNADVOKAT [17]

Correct clear question is;

The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. What parameter is being tested? H_0: μ = 5 H_1: μ ≠ 5

Is the hypothesis test left-tailed, right tailed, or two tailed? A Left tailed B Right tailed C Two tailed

What parameter is being used? A population proportion B population mean C standard deviation

Answer:

A) C - Two tailed hypothesis

B) B - Population mean

Step-by-step explanation:

We are given the hypotheses to be;. Null Hypothesis; H_0: μ = 5

Alternative hypothesis; H_1: μ ≠ 5

From the alternative hypothesis, we can see that the critical area of distribution of the parameter being tested could either be less than 5 or greater than 5 due to the not equal to sign. This means it could either be left tailed or right tailed. Thus, it is a two tailed hypothesis.

From the hypothesis, we see that the symbol μ is being used.

In statistics, μ is generally used as a symbol to denote population mean.

Thus, parameter being used/tested is population mean

4 0
3 years ago
7. Mrs. Golden pulls names from the jar to determine who will be the class leader. There are 13
Artist 52 [7]

Answer:

9:22

Step-by-step explanation:

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22 is the total

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3 years ago
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