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zhenek [66]
3 years ago
7

What is the equation in slope-intercept form of the line that passes through the points(-4,2) and (12,6)?

Mathematics
1 answer:
aleksandrvk [35]3 years ago
3 0

Answer:

y=1/4x+3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-2)/(12-(-4))=4/(12+4)=4/16=1/4

y-y1=m(x-x1)

y-2=1/4(x-(-4))

y-2=1/4(x+4)

y=1/4x+4/4+2

y=1/4x+1+2

y=1/4x+3

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Consider the function f(x)=x^2+bx-49 where b is a constant. if the function has an axis of symmetry at x = 8, what is the value
Jlenok [28]
For this case we have the following equation:
 f (x) = x ^ 2 + bx-49
 Deriving we have:
 f '(x) = 2x + b
 We match zero:
 0 = 2x + b
 We clear x:
 x = -b / 2
 The axis of symmetry is at x = 8, therefore:
 x = -b / 2 = 8
 Clearing b:
 b = -2 * (8)
 b = -16
 Answer:
 
the value of b is:
 
b = -16
3 0
3 years ago
I make 69832,420$ a month. How much do I make a day? How much do I make an hour?
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2 years ago
A theme park had 1099 visitors in 3 days.There were twice as many visitors on saturday than on Friday.There were 234 more visito
Blababa [14]

Answer: there were 692 visitors on Saturday.

Step-by-step explanation:

Let x represent the number of visitors that were there on Friday.

Let y represent the number of visitors that were there on Saturday.

Let z represent the number of visitors that were there on Sunday.

The theme park had 1099 visitors in 3 days. It means that

x + y + z = 1099- - - - - - - - - - - - - -1

There were twice as many visitors on saturday than on Friday. This means that

y = 2x

x = y/2

There were 234 more visitors on Sunday than on Saturday. This means that

z = y + 234

Substituting x = y/2 and z = y + 234 into equation 1, it becomes

y/2 + y + y + 234 = 1099

Cross multiplying by 2, it becomes

y + 2y + 2y + 468 = 2198

5y = 2198 - 468

5y = 1730

x = 1730/5

x = 346

y = 2x = 2 × 346

y = 692

z = y + 234 = 692 + 234

z = 926

3 0
3 years ago
Which of the following is a perfect square?<br> A. 279<br> B. 154<br> C. 169<br> D. 115
dybincka [34]
C. 13 times 13 makes 169.
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3 years ago
If Julie and Erin use the brown yarn they have to make 4 dolls, how much yarn can they use for each doll?
satela [25.4K]

Answer:

1 piece of yarn per doll

Step-by-step explanation:

1×4

4 0
4 years ago
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