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Alja [10]
3 years ago
15

Which of the following sets shows all the numbers from the set {1, 2.5, 3, 4.5, 5} that make the inequality 3a + 4 ≥ 13 true?

Mathematics
2 answers:
zmey [24]3 years ago
3 0
3(1)+4<span>≥ 13
7</span><span>≥ 13 
No

3(2.5)+4</span><span>≥ 13
11.5</span><span>≥ 13
No

3(3)+4</span><span>≥ 13
13</span><span>≥ 13
Yes

{3, 4.5, 5}</span>
Slav-nsk [51]3 years ago
3 0

Answer:

[3, 4.5, 5] :D

Step-by-step explanation:

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1-1=0 lol how do u not know this ???
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A line that includes the points ( - 2, - 9) and ( - 6,n) has a slope of - 1. What is the value of n?
Genrish500 [490]

Write out the slope formula:

m = (change in y) / (change in x)

Here,

m = n-(-9) / (-6-(-2)) = (n+9 / (-4)

Now set this slope equal to -1 and solve the resulting equation for n:

(n+9) / (-4) = - 1, or   (n+9) / 4 = 1, or n+9 = 4.  Then n = -5.

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3 years ago
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)

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Answer: The "?" would equal 1.

Step-by-step explanation: This is simply a line with a slope of 1 and a y-intercept of zero.

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Answer:

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Step-by-step explanation:

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