You just have to factor the given expression. You do this by factoring the first term and the last term.
3

can only be factored with 3x • x, so let's put that into our parentheses.
(3x ?)(x ?)
Now the last term. -14 can be factored more ways than one. Here are some examples:
-14 <span>• 1
</span>14 <span>• -1
7 </span><span>• -2
-7 </span><span>• 2
We know we can't use the first two since they're not options in this question. We also know the middle term is something quite large, so that number is what should be multiplied by three.
(3x - 2)(x + 7)
Let's test it out. By multiplying the insides, the outsides, and adding them together.
-2 </span><span>• x = -2x
</span>
7 <span>• 3x = 21x
</span>
21x - 2x = 19x
Aha! That is correct! Now that we've gotten that figured out, we can eliminate B and D. But what about the others? Well, I usually just graph out the factors with a calculator and see the zeroes from there, but since I don't have that luxury in this case. I'll have to find out some other way. I would say to multiply the factors by each other and switch the signs (without the x).
7 = -7
-2 x 3 = -

-

=

That should be your answer. If you have any questions, let me know.
To find how many miles per hour, we divide the number of miles hiked by the number of hours it took to hike them.
=15.12 miles ÷ 6.3 hours
=2.4 miles hiked per hour
Hope this helps! :)
Simple interest calculates interest on initial amount only. The investment by Hannah was : Option A: $4800
<h3>How to calculate simple interest amount if rate of interest is R% annually?</h3>
Suppose that the initial amount of investment is P
And the rate of simple interest is R% annually,
And the time of investment is T years.
Then, the amount of simple interest is calculated as:

For the given case, let the initial investment Hannah made was of $P
Then, the time of investment is T = 8 years, R% = 4%, and given that Hannah earned interest I = $1536
Putting values in the above formula, we get;

Thus,
The investment by Hannah was : Option A: $4800
Learn more about simple interest here:
brainly.com/question/5319581
Step-by-step explanation:
a ) Distance = 7150 km , speed = 780 km / hr So , time taken. ... 42 5 m / sec So , Time taken = Distance Speed = 8 0 . 42 / 5 = 8 × 5 0 . 42 sec = 95 .
d because you take the denominator of the fraction and you put it infront of the square root then you take the numerator and multiply it by the number at hand in this case 7