MATHEMATICS HIGH SCHOOL

Table of values of a linear function is shown below. Find the output when the input is n. Type your answer in the space provided. input 1 2 3 4 n
output 10 13 16 19

Answers

Answer 1
Answer:

Answer:

y = 3n + 7

Step-by-step explanation:

We can calculate a slope for the line defined by these points.  (We are told it is linear, so we can use y = mx + b format, where m is the slope and b the y-intercept.)

Slope:  I'll pick points (1,10) and (4,19) for calculating the slope:

Rise = (19-10) = 9

Run = (4-1) = 3

Rise/Run, or slope, m = (9/3, or 3

The equation becomes y = 3x + b

We can calculate b by using one of the given points.  I'll pick (1,10):

y = 3x + b

10 = 3*(1) + b

b = 7

The equation is y = 3x + 7  It works for the other points (try it).

We can use n for x:

y = 3n + 7

Pick any n, and you'll have the correct outcome.
Answer 2
Answer:

Answer:

y = 3n + 7

Step-by-step explanation

n | y

---------

1  | 10

2 | 13

3 | 16

4 | 19

slope - (1, 10) ; (2, 13)

m = y1 - y2

     -------------

      n1 - n2

m =  10 - 13

      -----------

       1  -  2

m = 3

Slope Intercept Form Equation -

y - y1 = m(n - x1)

y - 10 = 3(n - 1)

y - 10 = 3n - 3

   y  = 3n - 7

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Rewrite the expression using the distributive property. 8(4x+6y-3z)

Answers

All you need to do is distribute the 8 into each of the terms in the parenthesis.

Your equation will then become

32x + 48y - 24z
When there is a number outside the parenthesis, you multiply. So we have multiply everything in the parenthesis with 8. Which is equal to 8 (4x) 8 (6y) 8(-3z) = 32x + 48y - 24z.

A specific aircraft can ascend 1,635 meters in 15 seconds.
What is the rate of ascent?

Answers

Answer:

109m/s

Step-by-step explanation:

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Does anyone understand how to do this? Calculus AB

Answers

Hello,

In A
since
f'(x)=(f(x+h)-f(x))/h
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What is the correct choice for this question ???

Answers

The answer would be C, 61 years old, because if the ages were consecutive, the youngest would be 59, then the next oldest would be 60, then the oldest would be 61. 59+60+61=180

A rectangle has a width of 10 centimeters. The rectangle's length is 4 times its width. What is the perimeter of the rectangle?

Answers

Answer:

100 cm.

Step-by-step explanation:

We have been given that a rectangle has a width of 10 centimeters. The rectangle's length is 4 times its width.

The length of rectangle would be 4* 10\text{ cm}=40\text{ cm}.

We know that perimeter of rectangle is 2 times the sum of length and width of rectangle.

\text{Perimeter of rectangle}=2(\text{Length+Width)}

\text{Perimeter of rectangle}=2(\text{10 cm+ 40 cm)}

\text{Perimeter of rectangle}=2(\text{50 cm)}

\text{Perimeter of rectangle}=100\text{ cm}

Therefore, the perimeter of our given rectangle would be 100 cm.
If it's width is 10cm then it's legth has to be 40cm. So 10+10+40+40=100cm Perimeter 

Please help will give medal!!!!When given all three side lengths of a triangle but none of the angle measures, you can solve for all angle measures using __________.

Answers

If you are given with all the tree sides of the triangle, you may solve for all the angles through the Law of Cosines,
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