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Olenka [21]
3 years ago
5

5 times a number subtracted from 12 is triple the number

Mathematics
1 answer:
nadezda [96]3 years ago
6 0
5x-12=3x

Let's solve your equation step-by-step.
<span><span><span>5x</span>−12</span>=<span>3x
</span></span>Step 1: Subtract 3x from both sides.
<span><span><span><span>5x</span>−12</span>−<span>3x</span></span>=<span><span>3x</span>−<span>3x
</span></span></span><span><span><span>2x</span>−12</span>=0
</span>Step 2: Add 12 to both sides.
<span><span><span><span>2x</span>−12</span>+12</span>=<span>0+12
</span></span><span><span>2x</span>=12
</span>Step 3: Divide both sides by 2.
<span><span><span>2x/</span>2</span>=<span>12/2

</span></span><span>x=<span>6</span></span>
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A pumpkin is launched from the top of a 20 foot tall platform at an initial velocity of 84 feet per second. The height, h, of th
Gennadij [26K]
<h2>Explanation:</h2>

In this problem we have a pumpkin is launched from the top of a 20 foot tall platform at an initial velocity of 84 feet per second. So the height, h, of the pumpkin at time t seconds after the launch can be modeled by the equation:

h(t) = -16t^2 + 84t + 20

So this is the equation of a parabola. The maximum of this parabola occurs at its vertex. So let's find this vertex:

\text{The x-value of the vertex is}: \\ \\ t=-\frac{b}{2a} \\ \\ \\ Where: \\ \\ a=-16 \\ \\ b=84 \\ \\ c=20 \\ \\ \\ t=-\frac{84}{2(-16)} \\ \\ t=-\frac{84}{-32} \\ \\ t=\frac{21}{8}=2.625 \\ \\ h(2.625)=-16(2.625)^2+84(2.625)+20 \\ \\ h(2.625)=-110.25+220.5+20 \\ \\ h(2.625)=130.25m

Finally, the maximum occurs at time 2.625 seconds when the height is 130.25m

8 0
3 years ago
10=3x+1-4<br> How do I solve this problem?
scZoUnD [109]
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5 0
3 years ago
Read 2 more answers
Please help (puppy eyes)
-Dominant- [34]
First we have to find the decimal equivalent by dividing.
5 / 8 = 0.625

It can't be an Integer because decimals can't be intergers, so that's ruled out

It can't be repeating as it does end, so that's also ruled out

Since the decimal does end it can't be non-terminating, non-repeating

So the answer is Terminating Decimal by process of elimination
7 0
3 years ago
write an equation of the line that is parallel to the line whose equation is 4y+9=2x and passes through the point (7,2)
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Ok so we’ll put the first equation into slope int form

4y=2x-9

y=1/2x -4/9

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equation:

y-2=1/2(x-7)
7 0
2 years ago
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