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jeyben [28]
3 years ago
7

Enter the equation of the line in slope-intercept form.

Mathematics
1 answer:
Mars2501 [29]3 years ago
7 0

Answer:

y - 5 = 3(x - 4)

y - 5 = 3x - 12

y = 3x - 7

Step-by-step explanation:

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Help me with the question in the image please help me out :)
Elenna [48]

Step-by-step explanation:

(7 + x) / 3 = 2x - 5

7 + x = 3(2x - 5) (multiply 3 on both sides)

7 + x = 6x - 15 (distributive property)

5x = 22 (arrange like terms)

x = 4.4 (divide 5 on both sides)

4 0
3 years ago
There is a bag filled with 5 blue and 6 red marbles.
gladu [14]

Answer:

5/11×5/11= 25/121 so the answer is 25/121

4 0
2 years ago
A scientist is observing the grizzly bear population in two state parks. The parks each have 150 bears when he begins observing
Mars2501 [29]
Nothing to drag; nowhere to drag it to.

Park A's population can be modeled by
.. y = 150*1.2^x

Park B's population can be modeled by
.. y = 150*0.8^x
5 0
3 years ago
Read 2 more answers
Find f(3) and interpret its meaning.
anyanavicka [17]

Answer:

f(3) = 425

f(3) is the elevation of a mountain climber after 3 hours of climbing.

Step-by-step explanation:

So we are given a line that relates time to elevation. We are also given that the equation of the line is f(x) = 125x + 50. From looking at the graph given, we can see that x is the time, in hours, and y, or f(x), is the height, in feet. We are asked to find f(3) and interpret it's meaning.

To find f(3), we would have to find what f(x) is when x = 3. To do this, lets plug in 3 for x into the given equation:

f(3) = 125(3) + 50 = 425

So f(3) = 425. Now, we already know that x is the time in hours and y, or f(x), is the elevation in feet. We set x to 3 when solving for f(3). We have also found that f(3), or y when x = 3, is 425. So f(3), or 425, is the elevation after 3 hours.

I hope you find my answer and explanation to be helpful. Happy studying.

7 0
3 years ago
Barbara drives between Miami, Florida and West Palm Beach, Florida. she drives 45 miles in clear weather and then encounters a t
WINSTONCH [101]

Answer:

Barbara's speed in clear weather is 60mph and in the thunderstorm is 38mph.

Step-by-step explanation:

Let v_1 be the speed and  t_1 be the time Barbara drives in clear weather, and let v_2 be the speed and t_2 be the time she drives in the thunderstorm.

Barbara drives 22 mph lower in the thunderstorm than in the clear weather; therefore,

(1). v_2 = v_1 -22

Also,

(2). v_1t_1 = 45miles

(3). v_2 t_2 = 57,

and

(4). t_1+t_2 = 2.25hr

From equations (2) and (3) we get:

t_1 = \dfrac{45}{v_1}

t_2 =\dfrac{57}{v_2}

putting these in equation (4) we get:

\dfrac{45}{v_1}+\dfrac{57}{v_2}=2.25

and substituting for v_2 from equation (1) we get:

\dfrac{45}{v_1}+\dfrac{57}{v_1-22}=2.25

This equation can be rewritten as

2.25v_1^2-151.5v_1+990=0

which has solutions

v_1 = 60

v_1 = 7.33

We take the first solution v_1 =60 because it gives a positive value for v_2:

v_2 = v_1 -22

v_2 = 60 -22\\

v_2 = 38.

Thus, Barbara's speed in clear weather is 60mph and in the thunderstorm is 38mph.

4 0
4 years ago
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