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Nadya [2.5K]
3 years ago
8

1) Find an equation of the line that passes through thr pair of points (-5,-9) and (2,-7).

Mathematics
1 answer:
Yuki888 [10]3 years ago
8 0
1: Assuming this line is linear, the first thing to do is find the slope. 
The slope formula is m=\frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }, so in this case, it is m=\frac{ (-7) - (-9) }{ 2 - (-5) }, which comes to \frac{2}{7}. Then, use your slope and one of the points given to write the point-slope formula of the linear equation, and then written in standard form:
y=\frac{2}{7}x-\frac{53}{7}.

2. Use the same process as in question 1 to find:
y=-7x+11


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Which expression is a factor of 3xy + 2x − 18y − 12?
trapecia [35]
X(3y+2)-6(3y+2)
(x-6)(3y+2)
so the answer is 2+3y
6 0
3 years ago
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The Rusty Metal Roller Coaster at the fair charges $2.50 for children and $4 for adults. Before the safety inspector shuts down
sergij07 [2.7K]

Answer:

B, 110

Step-by-step explanation:

Work Backwards!

1.- 260 - 110 = 150 children

2.- 150 X $2.50 (rate of children) = $375

3.- $815 - $375 = $440

4.- $440/$4 (rate of adults) = 110 Adults

7 0
3 years ago
A medical clinic is reducing the number of incoming patients by giving vaccines before flu season. During week 5 of flu season,
8_murik_8 [283]

Answer:

f(x) = -6x +120

Step-by-step explanation:

Let's call y the number of patients treated each week

Let's call x the week number.

If the reduction in the number of patients each week is linear then the equation that models this situation will have the following form:

y = mx + b

Where m is the slope of the equation and b is the intercept with the x-axis.

If we know two points on the line then we can find the values of m and b.

We know that During week 5 of flu season, the clinic saw 90 patients, then we have the point:

(5, 90)

We know that In week 10 of flu season, the clinic saw 60 patients, then we have the point:

(10, 60).

Then we can find m and b using the followings formulas:

m=\frac{y_2-y_1}{x_2-x_1}   and b=y_1-mx_1

In this case: (x_1, y_1) = (5, 90) and (x_2, y_2) = (10, 60)

Then:

m=\frac{60-90}{10-5}

m=-6

And

b=90-(-6)(5)

b=120

Finally the function that shows the number of patients seen each week at the clinic is:

f(x) = -6x +120

7 0
3 years ago
Read 2 more answers
Megan drove from her house to work at an average speed of 45 miles per hour. The drive took her
Dominik [7]

Answer:

30 mph

Step-by-step explanation:

The average speed = Total distance / Total Time

Distance at 45 m/hr.

t = 20 minutes = 20/60 = 1/3 hour.

r = rate = 45 miles / hour

d = r * t

d = 45 * 1/3 = 15 miles.

Average Speed going home.

t =  30 minutes

t = 30 min / 60 min // hour = 1/2 hours

r = 15 miles / 1/2 = 15 * 2 =  30 miles / hr.

8 0
3 years ago
Look at the picture<br>​
butalik [34]

The interval where the function is increasing is (3, ∞)

<h3>Interval of a function</h3>

Given the rational function shown below

g(x) = ∛x-3

For the function to be a positive function, the value in the square root  must be positive such that;

x - 3 = 0

Add 3 to both sides

x = 0 + 3

x = 3

Hence the interval where the function is increasing is (3, ∞)

Learn more on increasing function here: brainly.com/question/1503051

#SPJ1

8 0
2 years ago
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