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Luden [163]
3 years ago
6

What is the slope of a line that passes through the points (-8,-3) and (-24,1)

Mathematics
1 answer:
Aneli [31]3 years ago
7 0

Answer:

-  \frac{1}{4}

Step-by-step explanation:

gradient =  \frac{y1 - y2}{x1 - x2}

slope \: of \: line \\  =  \frac{1 - ( - 3)}{ - 24 - ( - 8)}  \\  =  \frac{1 + 3}{8 - 24}  \\  =  \frac{4}{ - 16}  \\  =  -  \frac{1}{4}

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Write g(x) = 4x2 + 88x in vertex form. The function written in vertex form is g(x) = (x +11)2 + .
romanna [79]

Answer:

y = 4(x + 11)² - 484

Step-by-step explanation:

y = 4x² + 88x

factor the expression

y = 4(x² + 22x)

complete the square

y + ? = 4(x² + 22x + ?)

y + ? = 4(x² + 22x + 121)

add 4 • 121 to the left side

y + 4 • 121 = 4(x² + 22x + 121)

multiply

y + 484 = 4(x² + 22x + 121)

y + 484 = 4(x + 11)²

subtract both sides by 484

y = 4(x + 11)² - 484

6 0
3 years ago
Read 2 more answers
PLS HELP! which graph is the function 3x + 2y = 8 with the given domain {-2,0,2,4}??
Romashka [77]

Answer:

D

Step-by-step explanation:

Domain of the function 3x + 2y = 8 are the possible set of x-values represented as {-2, 0, 2, 4}.

To know which graph represents the above given function, find the range values of the function by plugging in each value of x into the equation, to find y.

For x = -2,

3(-2) + 2y = 8

-6 + 2y = 8

2y = 8 + 6

2y = 14

y = 14/2

y = 7

(-2, 7)

For x = 0,

3(0) + 2y = 8

0 + 2y = 8

2y = 8

y = 8/2

y = 4

(0, 4)

For x = 2,

3(2) + 2y = 8

6 + 2y = 8

2y = 8 - 6

2y = 2

y = 2/2

y = 1

(2, 1)

For x = 4,

3(4) + 2y = 8

12 + 2y = 8

2y = 8 - 12

2y = -4

y = -4/2

y = -2

(4, -2)

The graph which shows the following set of coordinates pairs calculated above, ((-2, 7), (0, 4), (2, 1), (4, -2)), is the graph of the function 3x + 2y = 8.

Thus, the graph in option D the shows the following calculated coordinate pairs. Therefore, graph D is the answer.

7 0
3 years ago
At a book sale, all books cost less than $5.
Arada [10]

Answer: b<5

Step-by-step explanation:

B Represnts the books and 5 is the 5 dollars so then 5 is greater than b and since 5 dollars is greater than the books price then you should be b<5.

this should be right.

Hoped this helped

6 0
2 years ago
The correlation coefficient for the ages of drivers in a driver safety class and the number of traffic violations they have rece
Doss [256]
A correlation coefficient is always a value in between -1 and 1
The closest a coefficient to -1, the correlation is a strong negative correlation
The closest a coefficient to 1, the correlation is a strong positive correlation
The closest a coefficient to 0, there is no correlation at all

The coefficient -0.61 shows a strong negative correlation
This means that the relationship between the age and the violation is an inverse relationship; as age increases, violation decreases

Answer: option C
7 0
2 years ago
Which expression shows how to convert 60 hours to days​
torisob [31]

Answer

60 hours = 2.5 days

Step-by-step explanation:

1 day = 24 hours

2 days = 48 hours

3 days = 72 hours

so 60 hours in = to 2.5 days

hope this helps

7 0
3 years ago
Read 2 more answers
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