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kow [346]
4 years ago
13

Which equation, in point-slope form, represents a line with m=-15 that goes through the point (7,-1)?

Mathematics
1 answer:
Vikentia [17]4 years ago
3 0

Answer:

D

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 15 and (a, b) = (7, - 1), thus

y - (- 1) = - 15(x - 7), that is

y + 1 = - 15(x - 7) → D

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Plz Help if possible
MrRa [10]

Answer:

2x + y = 2.

Step-by-step explanation:

First  find the slope of the required line by writing the line 2x + y = -5 in slope intercept form:

2x + y = -5

y = -2x - 5

- so the slope is -2.

Therefore the required equation is

y = -2x + 2    (where  2 is the y-intercept).

Converting to standard form:

y = -2x + 2

2x + y = 2.

3 0
4 years ago
Two life insurance companies determine their premiums using different formulas:
Pie

Answer:

<em>The age at which both companies charge the same premium is 44 years</em>

Step-by-step explanation:

<u>Graph Solution to System of Equations</u>

One approach to solving systems of equations of two variables is the graph method.

Both equations are plotted in the same grid and we find the intersection point(s) of both graphs. Those are the feasible solutions.

The annual premium p as a function of the client's age a for two companies are given as:

Company A: p= 2a+24

Company B: p= 2.25a+13

The graphs of both functions are shown in the image below.

The red line indicates the formula for Company A and the blue line indicates the formula for Company B.

It can be seen that both lines intersect in the point with approximate coordinates of (44,112).

The age at which both companies charge the same premium is 44 years

8 0
3 years ago
What is the mean for 87,93,86,90,84
lys-0071 [83]
Mean, or average, is solved by adding all the numbers and dividing by the number of numbers. The answer is 88. 
4 0
3 years ago
Read 2 more answers
The city of Raleigh has 11700 registered voters. There are two candidates for city council in an upcoming election: Brown and Fe
Vesnalui [34]

Answer:

The sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.308.

The expected numbers of voters who would vote for Brown is 3604.

Step-by-step explanation:

The sample statistic is a numerical quantity used to represent a characteristic of a sample. For example, sample mean is a sample statistic representing the average of the sample. Or, sample proportion is a sample statistic representing the proportion of a particular variable in the sample. Or sample variance is a sample statistic representing the variance of the sample.

The sample statistic can be used to estimate the population parameter.

They are known as the point estimate of the parameter.

The sample proportion of a variable <em>X</em> is given by:

\hat p=\frac{X}{n}

It is provided that of the <em>n</em> = 250 registered voters selected, the number of voters who said they would vote for Brown is <em>X </em>= 77.

Compute the sample statistic for the proportion of voters surveyed who said they'd vote for Brown as follows:

\hat p=\frac{X}{n}

  =\frac{77}{250}\\

  =0.308

Thus, the sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.308.

Compute the expected number of people of the 11700 registered voters who would vote for Brown as follows:

E(X)=N\times \hat p

         =11700\times 0.308\\=3603.6\\\approx 3604

Thus, the expected numbers of voters who would vote for Brown is 3604.

6 0
3 years ago
What is the difference between cross-section and intersection in geometry?
Triss [41]
A cross-section is the shape that would be exposed when cutting straight through a 3-D object. for example, cutting horizontally through a regular cone would expose a circle.

an intersection is where 2 or more shapes (does not matter how many dimensions) overlap. for example, the point at which two lines overlap is the intersection. or the area that two overlapping circles share is the intersection.
5 0
3 years ago
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