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Virty [35]
2 years ago
14

I need help with number 5 ASAPPPPP!!!!!!

Mathematics
1 answer:
kogti [31]2 years ago
3 0
It is d- the function is a line
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Write an equation of the line in slope-intercept form that passes through the given point with the given slope. (1,9) slope 4
pychu [463]

Answer:

y=1x+5y

The yyy-intercept of the line is (0,\greenE{3})(0,3)left parenthesis, 0, comma, start color #0d923f, 3, end color #0d923f, right parenthesis, so we know that \greenE{b}=\greenE{3}b=3start color #0d923f, b, end color #0d923f, equals, start color #0d923f, 3, end color #0d923f.

Finding \maroonC mmstart color #ed5fa6, m, end color #ed5fa6

Recall that the slope of a line is the ratio of the change in yyy over the change in xxx between any two points on the line:

\text{Slope}=\dfrac{\text{Change in }y}{\text{Change in }x}Slope=

Change in x

Change in y

​

start text, S, l, o, p, e, end text, equals, start fraction, start text, C, h, a, n, g, e, space, i, n, space, end text, y, divided by, start text, C, h, a, n, g, e, space, i, n, space, end text, x, end fraction

Therefore, this is the slope between the points (0,3)(0,3)left parenthesis, 0, comma, 3, right parenthesis and (2,7)(2,7)left parenthesis, 2, comma, 7, right parenthesis:

\begin{aligned}\maroonC{m}&=\dfrac{\text{Change in }y}{\text{Change in }x} \\\\ &=\dfrac{7-3}{2-0} \\\\ &=\dfrac{4}{2} \\\\ &=\maroonC{2}\end{aligned}

m

​

 

=

Change in x

Change in y

​

=

2−0

7−3

​

=

2

4

​

=2

​

In conclusion, the equation of the line is y=\maroonC{2}x\greenE{+3}y=2x+3y, equals, start color #ed5fa6, 2, end color #ed5fa6, x, start color #0d923f, plus, 3, end color #0d923f.

Step-by-step explanation:(0,5)left parenthesis, 0, comma, start color #0d923f, 5, end color #0d923f, right parenthesis is the yyy-intercept of the line, so \greenE{b}=\greenE{5}b=5start color #0d923f, b, end color #0d923f, equals, start color #0d923f, 5, end color #0d923f.

Now we find the slope by using the two points:

\begin{aligned} \maroonC{m}&=\dfrac{(9)-(5)}{(4)-(0)} \\\\ &=\dfrac{4}{4} \\\\ &=\maroonC{1} \end{aligned}

m

​

 

=

(4)−(0)

(9)−(5)

​

=

4

4

​

=1

​

Therefore, the equation of the line is y=\maroonC{1}x\greenE{+5}y=1x+5y, equals, start color #ed5fa6, 1, end color #ed5fa6, x, start color #0d923f, plus, 5, end color #0d923f.

3 0
3 years ago
Into a bucket, 3.705 liters of water flowed in 7.8 minutes. Enter the number of liters that flowed into the bucket each minute a
Anastaziya [24]
3.705 litres/7.8min
0.475 litres/min
5 0
3 years ago
If Jamie has five dollars and purchases a soda for one dollar and fifteen cents, how much change does Jamie get back
nika2105 [10]
5.00
-
1.15
--------
3.85
3 0
2 years ago
Read 2 more answers
State the restrictions on the domain.
mihalych1998 [28]

we know that, denominator ≠ 0

16y² ≠ 0

y ≠ 0 is excluded value.

8 0
2 years ago
PLEASE HELP ME PLEASE
Ray Of Light [21]

Answer:

The computer loses 50%, percent of its value each year.

Step-by-step explanation:

See the graph attached.

A computer is sold for a certain price and then its value changes exponentially over time.

It is clear from the graph that at t = 0, the price was $500, then at t = 1 year, the price was $250 and at t = 2 years, the price was $125 and at t= 3 years, the price was $62.5 and so on.

Therefore, the computer loses 50%, percent of its value each year. (Answer)

5 0
3 years ago
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