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3 years ago

Combine like terms to simplify the expression. 5x + 4 + 2x + 5 will give 20 if you can answer my next question

Mathematics

1 answer:

sp2606 [1]3 years ago

4 0

5x + 4 + 2x + 5

First add the like terms.

You will get this: 7x + 9

And these can't be simplified anymore because they do not both go into the same multiple.

So your answer will be:

7x + 9

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The quotient of two numbers is 21. Their difference is 60.What are the two numbers?

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The numbers are 63 and 3

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3 years ago

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A person standing at the edge of a cliff throws a rock upward from a height of 180ft above ground level with an initial velocity

taurus [48]

Answer: 8.73 ft/s

Step-by-step explanation:

We have the following equation that models the motion of the rock:

$h(t)=-16t^{2}+64t+180$

Where $h(t)$ is the height of the rock at a time $t$ .

Now, if $h(t)=48 ft$ we can find $t$ and then the velocity of the rock at that height:

$48=-16t^{2}+64t+180$

Rearranging the equation:

$-16t^{2}+64t+132=0$

Multiplying the equation by -1:

$16t^{2}-64t-132=0$

Solving with the quadratic formula $t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$ , where $a=16$ , $b=-64$ , $c=-132$ .

$t=\frac{-(-64)\pm\sqrt{(-64)^{2}-4(16)(-132)}}{2(16)}$

Choosing the positive result of the equation:

$t=5.5 s$

Since velocity $V$ is defined as the traveled distance $h(t)$ in a given time $t$ , we have:

$V=\frac{h(t)}{t}$

$V=\frac{48 ft}{5.5 s}$

$V=8.727 ft/s \approx 8.73 ft/s$ This is the velocity of the rock at the height of 48 feet

7 0

3 years ago

Simplify the expression and combine like terms.

Alenkinab [10]

Answer:

5x + 16

Step-by-step explanation:

the first thing you do in this equation is to distribute the 2 into x + 6

you get

2x + 12 + 3x + 4 = ?

then you must put the 2x and the 3x together

5x + 12 + 4

and you can then add the 12 and 4

5x + 16

4 0

2 years ago

5a + 3b + c= 40<br> a-3b+2c= -10<br> 14a-2b+3c= 50

aalyn [17]

Answer:

a= 40-3b-c/5

a=-10+3b-2c

a=50+2b-3c/14

Step-by-step explanation:

5a+3b+c-(3b+c)=40-(3b+c)

5a=40-3b-c

5a/5=40/5-3b/5-c/5

a= 40-3b-c/5

a-3b+2c-(3b+2c)=-10-(-3b+2c)

a=-10+3b-2c

14a-2b+3c-(-2b+3c)=50-(-2b+3c)

14a=50+2b-3c

14a/14=50/14+2b/14-3c/14

a=50+2b-3c/14

8 0

3 years ago