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ExtremeBDS [4]
4 years ago
10

A telephone company charges a fixed monthly rate plus a rate per minute of usage. The company charges $135 for 100 minutes of us

age and $375 for 500 minutes of usage. An equation can be written to show the relationship between the total minutes used (x) and the total monthly charges (y). Which of the following best describes the steps to draw the graph of y against x? (1 point)
Mathematics
1 answer:
Tpy6a [65]4 years ago
8 0

Answer:

Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 0.6

The ordered pairs are: (100, 135) and (500, 375)

The first number is the number of minutes of usage and the second number is the charge of the month.

The slope is: ( 375 -135) / (500 - 100) = 240/400 = 0.6

Step-by-step explanation:

You might be interested in
Write a quadratic function f whose zeros are -3 and -8
Ivenika [448]

Answer:

y = x² + 11x + 24

Step-by-step explanation:

y = (x + 3)(x + 8)

Expand

y = x² + 8x + 3x + 24

Combine like terms

y = x² + 11x + 24

3 0
3 years ago
Calculate the area of triangle ABC with altitude, CD, given
defon

Answer:

37.5 square units

Step-by-step explanation:

Given:

A(-6,-4), B(6,5), C(-1,6), and D(2, 2), where CD is the altitude if ∆ABC

Required:

Area of ∆ABC

SOLUTION:

Area of a ∆ABC =½*AB*CD

✍️AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{6 -(-6))^2 + (5 -(-4))^2

AB = \sqrt{12^2 + 9^2}

AB = \sqrt{144 + 81}

AB = \sqrt{225} = 15

✍️CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{2 -(-1))^2 + (2 - 6)^2

CD = \sqrt{(3)^2 + (-4)^2}

CD = \sqrt{9 + 16}

CD = \sqrt{25} = 5

✍️Area of a ∆ABC =½*AB*CD

= ½*15*5

✅ Area = 37.5 square units

5 0
3 years ago
What constant term should be used to complete the square? x 2 - 5x + _____ = 7
amm1812
The quadratic equation in its generic form is:
 ax2 + bx + c
 To complete squares we must add the following term:
 (b / 2) ^ 2
 The equation is:
 ax2 + bx + c + (b / 2) ^ 2
 We have the following equation:
 x ^ 2 - 5x + k = 7
 By completing squares we have:
 x ^ 2 - 5x + (-5/2) ^ 2 = 7 + (-5/2) ^ 2
 Rewriting:
 x ^ 2 - 5x + 6.25 = 7 + 6.25
 Answer:
 
A constant term should be used to complete the square is:
 
6.25
4 0
3 years ago
It is 185 miles to Fort Worth. If Vang drives
shtirl [24]
2 hours at 65 mph makes 130 miles. Subtract 130 from 185 and you get 55
8 0
4 years ago
Do supplementary angles form right angles? yes or no
Anuta_ua [19.1K]

Answer:

Yes i

Step-by-step explanation:

A supplementary angle can be two angles that sum up to 180 if you want you can have 2 angles that are 90 degrees that add up to 180 so therefore that would make a right angle.

6 0
3 years ago
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