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andrew-mc [135]
3 years ago
11

1. Write an equation for a line with a slope of -5 and a y-intercept of 5.

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
8 0

Answer:

1. y=-5x+5

2. y=3x

3. the slope is 6 and the y-intercept is 7

Step-by-step explanation:

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In a nursery class of 18 pupils, the average is
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Answer:

The sum of the age of pupils is 81

Step-by-step explanation:

Let sum of age of 18pupils = x

Average ages = 4.5

Average = total/no. of pupil

4.5 = x/18

x = 81

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Help please very confused.
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12.

Step-by-step explanation:

Replace k in the radical by -2:

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3 years ago
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A real estate office manages an apartment complex with 50 units. When the rent is $780 per month, all 50 units are occupied. How
Nataliya [291]

Answer:

A) The linear equation is x=\frac{-1}{15}p+102

B) When the rent is raised to $855 the number of units occupied is 45.

C) When the rent is lowered to $795 the number of units occupied is 49.  

Step-by-step explanation:

A) A linear equation for the demand is written as x=mp+p_{0}, where m is the slope, x is the number of occupied units, p is the rent.

m is calculated using the problem information. When the rent is p=$780 then x=50 and when the rent is p=$825 then x=47.

Using the slope equation we have:

m=\frac{50-47}{780-825}=\frac{-3}{45}=\frac{-1}{15}

Thus the linear equation is:

x=\frac{-1}{15}p+p_{0}

In order to calculate p_{0} we use the problem information, When the rent is p=$780 then number of occupied units is x=50, thus:

50=\frac{-1}{15}780+p_{0}  \\\\50=-52+p_{0}  \\\\p_{0}=102  \\

Finally, the linear equation is:

x=\frac{-1}{15}p+102

B) The demand equation is plot in the attached file, the number of units occupied when the rent is raised to $855 is 45.

C) In order to predict the number of occupied units lets use the equation:

x=\frac{-1}{15}p+102

where p=$795, then:

x=\frac{-1}{15}795+102\\ \\x=-53+102\\\\x=49

Thus, when the rent is lowered to $795 the number of units occupied is 49.  

3 0
3 years ago
one fourth of the student in Ms. Sing's music class chose a guitar as their favorite musical instrument .There are 24 students i
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We Need To Divide 24 By 4 To Find How Many Students Chose Guitar. 
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