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V125BC [204]
4 years ago
9

What is the function rule for the line?

Mathematics
1 answer:
Salsk061 [2.6K]4 years ago
8 0

Answer:

y =2/3x -2

Step-by-step explanation:

The y intercept is -2

The slope is

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

Using the points (0,-2) and  (3,0)

m = ( 0 - -2)/(3 -0)

    = (0+2)/(3-0)

   = 2/3

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y =2/3x -2

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Nancy has (4K + 6) meters of ribbon. Kevin has (6k - 2) meters of ribbon. If k = 5, who has the shorter ribbon?
jek_recluse [69]

Answer:

4*5+6 = 26

6*5-2= 28

Nancy has the shortest ribbon

3 0
3 years ago
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Step-by-step explanation:

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7 0
3 years ago
A coin is tossed and a die is rolled simultaneously. What is the probability of getting a tail and a number less than 3?
Reil [10]

Answer: 1/6

Step-by-step explanation:

Probability of getting heads or tail is:

P (H) = P(T) = 1/2

The probability of getting any number on the die is:

P (1) = P (2) = P(3) = P (4) = P (5) = P (6) = 1/6

The probability of getting a tail on the coin and a number less than 3 on the die is:

P($Tails and a number less than 3$)=P($Tails$) \times P$(A number less than 3)$$\begin{aligned}&=\frac{1}{2} \times[P(1)+P(2)] \\&=\frac{1}{2} \times\left[\frac{1}{6}+\frac{1}{6}\right] \\&=\frac{1}{6}\end{aligned}$$

Therefore the required of getting tails and a number less than 3 is 1/6

7 0
2 years ago
Points H and I are located on the coordinate plane at (-2,8) and (-2, 11).
Crazy boy [7]

Answer:

3

Step-by-step explanation:

distance required=11-8=3

3 0
3 years ago
It takes a boat 2 hours to travel 22 miles downstream and 4 hours to travel 20 miles upstream. What is the speed of the boat in
gavmur [86]
<span>Let  b= speed of boat in still water
Let  c= speed of current
Upstream
Speed is ; b-c
d u=(b-c)* t u

Downstream
speed is ; b+c
d d=(b+c)*t d

given:
d u=18
t u=3
d d=24
t d=2


------------------
(1) 18=(b-c)*3
(2) 24=(b+c)*2
and
(1) 18=3b-3c
(2) 24=2b+c
Multiply both sides of (1) by 2
Multiply both sides of (2) by 3

(1) 
(2) 
Add (1) and (2)


And, from (1),
18=3*9-3c
3c=27-18
3c=9
c=3
The speed of the boat in still water is 9 mi/hr
The speed of the current is 3 mi/hr
check:
(1) 18=(9-3)*3
(2) 24=(9+3)*2
and
(1) 18=16*3
18=18
(2) 24=24
</span>
8 0
3 years ago
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