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tresset_1 [31]
3 years ago
7

PLEASE HELP!! 8TH/9TH GRADE MATH!!

Mathematics
2 answers:
a_sh-v [17]3 years ago
7 0
B 112 m/s; it represents the average speed of the object between 3 seconds and 5 seconds
Yuliya22 [10]3 years ago
3 0
(350-126)/(5-3)=112m/s

This is the average speed in the time from 3 to 5 seconds...

dd/dt    98,126,154
d2d/dt2   28,28

She actually had a constant acceleration over the entire time period.

The function for that table is:

d(t)=14t^2  

Her actual velocity at any point is v(t)=28t  (you can see that if you take the mid point of the interval, 4s, you will get the average velocity found earlier)
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Solve this <br> <img src="https://tex.z-dn.net/?f=4%5Cleft%285x-2%5Cright%29%3D2%5Cleft%289x%2B3%5Cright%29" id="TexFormula1" ti
vampirchik [111]

Answer:

  • Solution of equation ( x ) = <u>7</u>

Step-by-step explanation:

In this question we have given with an equation that is <u>4</u><u> </u><u>(</u><u> </u><u>5</u><u>x</u><u> </u><u>-</u><u> </u><u>2</u><u> </u><u>)</u><u> </u><u>=</u><u> </u><u>2</u><u> </u><u>(</u><u> </u><u>9</u><u>x</u><u> </u><u>+</u><u> </u><u>3 </u><u>)</u><u>.</u> And we are asked to solve this equation that means we have to find the value of <u>x</u><u>.</u><u> </u>

<u>Solution</u><u> </u><u>:</u><u> </u><u>-</u>

<u>\quad \longrightarrow \: 4 ( 5x - 2 ) = 2 ( 9x + 3 )</u>

<u>Step </u><u>1</u><u> </u><u>:</u> Removing parenthesis :

\quad \longrightarrow \:20x - 8 = 18x + 6

<u>Step </u><u>2</u><u> </u><u>:</u> Adding 8 from both sides :

\quad \longrightarrow \:20x - \cancel{ 8 }+  \cancel{8} = 18x + 6 + 8

On further calculations we get :

\quad \longrightarrow \:20x = 18x + 14

<u>Step </u><u>3 </u><u>:</u> Subtracting 18 from both sides :

\quad \longrightarrow \:20x - 18x =  \cancel{18x }+ 14 -  \cancel{18}

On further calculations we get :

\quad \longrightarrow \:2x = 14

<u>Step </u><u>4</u><u> </u><u>:</u> Dividing with 2 on both sides :

\quad \longrightarrow \: \frac{ \cancel{ 2}x}{ \cancel{2}}  =   \cancel{\frac{14}{2} }

On further calculations we get :

\quad \longrightarrow \:  \blue{\boxed{ \frak{x = 7}}}

  • <u>Therefore</u><u>,</u><u> </u><u>solution</u><u> </u><u>of </u><u>this </u><u>equation</u><u> </u><u>is </u><u>7</u><u> </u><u>or </u><u>we </u><u>can </u><u>say </u><u>that </u><u>value </u><u>of </u><u>this </u><u>equation</u><u> </u><u>is </u><u>7</u><u> </u><u>.</u>

<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>

We are verifying our answer by substituting value of x in given equation. So ,

  • 4 ( 5x - 2 ) = 2 ( 9x + 3 )

  • 4 [ 5 ( 7 ) - 2 ] = 2 [ 9 ( 7 ) + 3 ]

  • 4 ( 35 - 2 ) = 2 ( 63 + 3 )

  • 4 ( 33 ) = 2 ( 66 )

  • 132 = 132

  • L.H.S = R.H.S

  • Hence, Verified.

<u>Therefore</u><u>,</u><u> </u><u>our </u><u>value</u><u> for</u><u> x</u><u> is</u><u> </u><u>correct </u><u>.</u>

<h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>
4 0
2 years ago
Read 2 more answers
What percent of 55 is 44?
shepuryov [24]
125% maybe i don’t know for sure
3 0
2 years ago
Consider the system of linear equations.<br><br> 2y = x + 10<br><br> 3y = 3x + 15
Art [367]
I hope this helps you

5 0
3 years ago
Expand and simplify: (x-5)(x+5)
stealth61 [152]
X^2-5x+5x-25 (multiply (x-5) with (x+5))
X^2-25 ( -5x+5x =0)





5 0
3 years ago
Read 2 more answers
Your boss gave you a raise. Your weekly salary went from $375 to $450. What was your percent raise?
Yuri [45]
<span>1. Find the difference
2. Divide the difference by the original number it went up from.
</span>
450-375 = 75

75/375 = 0.2

You got a 20% raise.

Proof:
375*.2 = 75
375+75 = 450
3 0
3 years ago
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