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zimovet [89]
3 years ago
12

Krystal left the hardware store and traveled toward the recycling plant at an average speed of 61 mph. Scott left at the same ti

me and traveled in the opposite direction with an average speed of 65 mph. Find the number of hours Scott needs to travel before they are 252 mi. Apart
Mathematics
1 answer:
tiny-mole [99]3 years ago
4 0

Since Krystal and Scott is heading on opposite directions, therefore the distance between the two would be the sum of their distances from where they left, so:

total distance (d) = distance covered by Krystal (dK) + distance covered by Scott (dS)

d = dK + dS

 

We know that the formula for distance is:

distance = velocity * time

 

So,

d = vK * t + vS * t

where

vK = velocity of Krystal = 61 mph

vS = velocity of Scott = 65 mph

d = 252 miles

 

Therefore:

252 = 61 t + 65 t

126 t = 252

t = 2 hours

 

Therefore Scott needs to travel for 2 hours.

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Answer:

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Step-by-step explanation:

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Consider \cos (180^{\circ}-q)=-\cos q

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3 years ago
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Graph f(x)=2x+1 and g(x)=−x+7 on the same coordinate plane.
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Answer:

x = 2

Step-by-step explanation:

To solve the equation, you need to set both functions equal to each other and simplify to find the value of "x".

f(x) = 2x + 1

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2x + 1 = -x + 7                                      <----- Insert functions

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8 0
2 years ago
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If f(x)=2x+7 and g(x)=11x-4, find (f+g)x.
klemol [59]

Answer:

(f+g)(x) = 13x + 3

Step-by-step explanation:

Rewrite  f(x)=2x+7 and g(x)=11x-4 in columns, as follows:

f(x)=2x+7

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----------------

Now add each column separately.

f(x)+g(x) = (f+g)(x) ("the sum of functions f and g")

2x + 11x = 13x, and, finally, 7-4 = 3.


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----------------

(f+g)(x) = 13x + 3

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