<h3>The equation is:</h3><h3>

</h3><h3>The number is 3 or 4</h3><h3><em><u>Solution:</u></em></h3>
Given that,
7 added to the square of a number is equal to 7 times the number, minus 5
Let "x" be the unknown number
From given,
7 added to square of x = 7 times the x minus, 5

Solve the above equation

Split the middle term

We have two solutions
x - 3 = 0
x = 3
And
x - 4 = 0
x = 4
Thus number is 3 or 4
The first step we take is to factor out a GCF:
2d(d³ + 3d² - 9d - 27)
Now, we can factor what's in the parenthesis by grouping (don't forget to keep the 2d we factored out):
2d[d²(d+3) -9(d+3)]
2d(d²-9)(d+3)
d²-9 can still be factored because it is the difference of two squares:
2d(d+9)(d-9)(d+3)
That is the completely factored form.

- Given - <u>a </u><u>bus </u><u>takes </u><u>6</u><u> </u><u>hours</u><u> </u><u>to </u><u>travel </u><u>a </u><u>particular</u><u> </u><u>distance </u><u>with </u><u>a </u><u>constant</u><u> </u><u>speed </u><u>of </u><u>3</u><u>6</u><u> </u><u>km/</u><u>hr</u>
- To calculate - <u>the </u><u>total </u><u>distance </u><u>travel </u><u>by </u><u>the </u><u>bus</u>
We know that ,

<u>this </u><u>formula</u><u> </u><u>can </u><u>be </u><u>transformed</u><u> to</u><u> </u><u>find</u><u> </u><u>out </u><u>distance</u><u> </u><u>,</u><u> </u><u>as </u><u>follows </u><u>~</u>

now ,
<u>substituting</u><u> </u><u>the </u><u>values </u><u>in </u><u>the </u><u>formula </u><u>state</u><u>d</u><u> </u><u>above </u><u>,</u>

thus ,
<u>the </u><u>bus </u><u>travels </u><u>a </u><u>distance</u><u> </u><u>of </u><u>2</u><u>1</u><u>6</u><u> </u><u>km</u><u> </u><u>in </u><u>6</u><u> </u><u>hours</u>
hope helpful ~
Answer:
△ is 24. I found this out by dividing 96 by 4, since the number of blue paperclips is 4 times the amount of yellow paperclips. A multiplication equation that can be used is 4x=96. X is the number of yellow paperclips. Hope this helped!
Step-by-step explanation:
Multiply 6times 6 to get your answer