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ohaa [14]
3 years ago
13

Find the slope of the line that passes through: (-4,7) and (-6, -4)

Mathematics
1 answer:
Yuri [45]3 years ago
6 0

Answer:

\frac{11}{2} or 5.5

Step-by-step explanation:

In order to find the slope of a line using two points on a graph, you must use

y_2-y_1/x_2-x_1

Pluging in the points (-4,7) and (-6, -4) to the formula you will get:

\frac{-4-7}{-6+4} =\frac{-11}{-2} =5.5

The equation for the line would be \frac{11}{2}x+29

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A caterer provides a conference banquet for a price of $40 per person for 20 or fewer people but will decrease the price by $1 p
mel-nik [20]

Answer:

The maximum revenue is $900, obtained with 30 people

Step-by-step explanation:

Naturally, the answer should be a number equal or higher than 20, because up to 20 persons, each one pays the same. Lets define a revenue function for x greater than or equal to 20.

f(x) = x*(40-(x-20)) = -x²+60x

Note that f multiplies the number of persons by how much would they pay (here, assuming that there are more than 20).

f is quadratic with negative main coefficient and its maximum value will be reached at the vertex.

The value of the x coordinate of the vertex is -b/2a = -60/-2 = 30

for x = 30, f(x) = 30*(40-(30-20))=30*30=900

So the maximum revenue is $900.

7 0
3 years ago
In a survey, 15 high school students said they could drive
OLga [1]

Answer:

No

Step-by-step explanation:

this is because only 50% of the college students said they could drive there fore it doesn't make sense.

6 0
3 years ago
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Laura's piano teacher estimated that her monthly piano practice should take her 4 3/4 hours per week. Laura said that last week
GREYUIT [131]

Answer:

432

Step-by-step explanation:

60 minutes is one hour

60 times 4=240

=240+192=432

5 0
3 years ago
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I will give brainliest if you answer all correctly ​
miskamm [114]

Answer:

I think 13 is C

Step-by-step explanation:

71+52= 123

180-123= 57

7 0
3 years ago
What function is the inverse of the exponential function y = (1.5)x?
vagabundo [1.1K]

Correct question is;

What function is the inverse of the exponential function y = 1.5^(x)?

Answer:

y = log_1.5_x

Step-by-step explanation:

The inverse of exponential functions is usually written in form of logarithm.

For example inverse of y = p^(x) will be written as; y = log_p_(x)

Similarly applying this same pattern to our exponential function y = 1.5^(x), we have the inverse as;

y = log_1.5_x

6 0
3 years ago
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