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Sidana [21]
3 years ago
12

I’ll give brainliest :p

Mathematics
1 answer:
Tasya [4]3 years ago
8 0
figure 2 i think is your best bet, just looks logical
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Dwayne drove 18 miles to the airport to pick up his father and then returned home. On the return trip he was able to drive an av
Nesterboy [21]

Answer:

30 mph

Step-by-step explanation:

Let d = distance (in miles)

Let t = time (in hours)

Let v = average speed driving <u>to</u> the airport (in mph)

⇒ v + 15 = average speed driving <u>from</u> the airport (in mph)

Using:  distance = speed x time

\implies t=\dfrac{d}{v}

Create two equations for the journey to and from the airport, given that the distance one way is 18 miles:

\implies t=\dfrac{18}{v}  \ \ \textsf{and} \ \  t=\dfrac{18}{v+15}

We are told that the total driving time is 1 hour, so the sum of these expressions equals 1 hour:

\implies \dfrac{18}{v} +\dfrac{18}{v+15}=1

Now all we have to do is solve the equation for v:

\implies \dfrac{18(v+15)}{v(v+15)} +\dfrac{18v}{v(v+15)}=1

\implies \dfrac{18(v+15)+18v}{v(v+15)}=1

\implies 18(v+15)+18v=v(v+15)

\implies 18v+270+18v=v^2+15v

\implies v^2-21v-270=0

\implies (v-30)(v+9)=0

\implies v=30, v=-9

As v is positive, v = 30 only

So the average speed driving to the airport was 30 mph

(and the average speed driving from the airport was 45 mph)

8 0
2 years ago
Read 2 more answers
Find the GCF of <br><img src="https://tex.z-dn.net/?f=%20%7B6x%7D%5E%7B4%7D%20%20-%20%20%7B24x%7D%5E%7B3%7D%20" id="TexFormula1"
kotykmax [81]
Here ya go
Math.way is the way to go ^v^
Hope ya have a good one

6 0
3 years ago
Brenna writes a product of six negative factors. She uses
IgorC [24]

Answer: (A) The product of two numbers with the same sign is positive.

Since the numbers in each pair have the same sign, the product will be positive.

3 0
3 years ago
Read 2 more answers
Which of the following graphs represents the equation y+2=3(x-1)
Arturiano [62]

For this case we have the following equation, in a linear way:

y + 2 = 3 (x-1)

This expression can be written in the form y = mx + b

Where "m" is the slope and "b" is the cut point with the y axis.

Rewriting the given expression we have:

y + 2 = 3x-3\\y = 3x-3-2\\y = 3x-5

Thus, the slope is 3 and the cut point is -5.

To graph, we must find two points through which the line passes, so, we perform the following steps:

Step 1:

We do x = 0

y = 3 (0) -5\\y = 0-5\\y = -5

Thus, the point (x1, y1) = (0, -5)

Step 2:

We doy = 0

0 = 3x-5\\5 = 3x

x =\frac{5}{3}

Thus, the point (x2, y2) = (\frac{5}{3},0)

Answer:

See attached image


7 0
3 years ago
Read 2 more answers
ΔABC is reflected across the x-axis and then translated 4 units up to create ΔA′B′C′. What are the coordinates of the vertices o
Vera_Pavlovna [14]

Answer:

A) (-3, 3) B) (-1, 1) C) (-2, 3)

Step-by-step explanation:

3 0
3 years ago
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