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Tju [1.3M]
3 years ago
12

Can someone help me with this question please??

Mathematics
1 answer:
vodomira [7]3 years ago
4 0
The correct answer is 48 mph


Explain

First, 32 miles

Average speed 64 mph

T1= time for first 32 miles

distance / speed

32 miles / 64 mph = 0.5 hrs


For remaining distance = 200 miles- 32 miles = 168miles


Let average speed = x


T1 = time for rest of journey = distance / speed

168miles / x mph

Since

Total time journey is 4 hours

T1 + t2 = 4hr


Or

0.5 +168/x = 4

168/x = 4-0.5

168/ x = 3.5

X= 168/ 3.5

X= 48 mph
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2. A small submarine is at an elevation of -30 feet compared to sea level. What is its elevation att
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3 years ago
Explain how to evaluate f(g(0)).
alekssr [168]

Answer as a fraction:  17/6

Answer in decimal form: 2.8333  (approximate)

==================================================

Work Shown:

Let's use the two black points to determine the equation of the red f(x) line.

Use the slope formula to get...

m = slope

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

m = (4-0.5)/(2-(-1))

m = (4-0.5)/(2+1)

m = 3.5/3

m = 35/30

m = (5*7)/(5*6)

m = 7/6

Now use the point slope form

y - y1 = m(x - x1)

y - 0.5 = (7/6)(x - (-1))

y - 0.5 = (7/6)(x + 1)

y - 0.5 = (7/6)x + 7/6

y = (7/6)x + 7/6 + 0.5

y = (7/6)x + 7/6 + 1/2

y = (7/6)x + 7/6 + 3/6

y = (7/6)x + 10/6

y = (7/6)x + 5/3

So,

f(x) = (7/6)x + 5/3

We'll use this later.

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

We ultimately want to compute f(g(0))

Let's find g(0) first.

g(0) = 1 since the point (0,1) is on the g(x) graph

We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.

We now use the f(x) function we computed earlier

f(x) = (7/6)x + 5/3

f(1) = (7/6)(1) + 5/3

f(1) = 7/6 + 5/3

f(1) = 7/6 + 10/6

f(1) = 17/6

f(1) = 2.8333 (approximate)

This ultimately means,

f(g(0)) = 17/6 as a fraction

f(g(0)) = 2.8333 as a decimal approximation

8 0
2 years ago
Which ordered pairs are in the solution set of the system of linear inequalities? y &gt; x y &lt; x + 1 (5, –2), (3, 1), (–4, 2)
steposvetlana [31]

To check which ordered pair (point) is in the solution set of the system of given linear inequalities y>x, y<x+1; we just need to plug given points into both inequalities and check if that point satisfies both inequalities or not. If any point satisfies both inequalities then that point will be in solution.

I will show you calculation for (5,-2)

plug into y>x

-2>5

which is clearly false.

plug into y<x+1

-2<5+1

or -2<6

which is also false.

hence (5,-2) is not in the solution.

Same way if you test all the given points then you will find that none of the given points are satisfying both inequalities.

Hence answer will be "No Solution from given choices".

5 0
3 years ago
Read 2 more answers
Need help asappp
lozanna [386]

Answer:

552

Step-by-step explanation:

4 0
3 years ago
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