If the quotient is 12 and the dividend is 288 what is the divisor

(2x² - 5x-3)/ (x-3) DIvide the polynomials

Anika [276]

Answer:

2x + 1

Step-by-step explanation:

$\frac{(2x² - 5x-3)}{(x - 3)}$

Factor out 2x² - 5x-3

$\frac{(2x + 1)(x - 3)}{x - 3}$

divide x - 3 by x - 3

=> 2x + 1

Or another step

Step by Step Solution

STEP

1

:

Equation at the end of step 1

STEP

2

:

2x² - 5x - 3/ x - 3

Trying to factor by splitting the middle term

2.1 Factoring 2x² - 5x - 3

The first term is, 2x² its coefficient is 2 .

The middle term is, -5x its coefficient is -5 .

The last term, "the constant", is -3

Step-1 : Multiply the coefficient of the first term by the constant 2 • -3 = -6

Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -5 .

-6 + 1 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 1

2x² - 6x + 1x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (x-3)

Add up the last 2 terms, pulling out common factors :

1 • (x-3)

Step-5 : Add up the four terms of step 4 :

(2x+1) • (x-3)

Which is the desired factorization

Canceling Out :

2.2 Cancel out (x-3) which appears on both sides of the fraction line.

Final result :

2x + 1

6 0

2 years ago

A semi-circle window can be used above a doorway or as an accent window

anzhelika [568]

A semicircle is a part of a circle, and it is referred to as half of a given circle. Thud the area of the semi-circle window is 982 $in^{2}$ .

A circle is a shape that is bounded by a curved path which is referred to as the circumference. Some parts of a circle are radius, diameter, sector, arc, semi-circle, circumference, etc.

A semicircle is a part of a circle, and it is referred to as half of a given circle.

such that:

Area of a circle = $\pi$ $r^{2}$

and

area of a semicircle = $\frac{\pi r^{2} }{2}$

where: r is the radius of the circle, and $\pi$ is a constant with a value of $\frac{22}{7}$ .

Thus from the given question, it can be inferred that;

r = $\frac{50}{2}$

= 25

r = 25 in

Thus, the area of the semi-circle can be determined as;

area of the semi-circle = $\frac{1}{2}$ * $\frac{22}{7}$ * $25^{2}$

= 982.1429

area of the semi-circle = 982.14 $in^{2}$

The area of the semi-circle window is approximately 982 $in^{2}$ .

for more clarifications on the area of a semi-circle, visit: brainly.com/question/15937849

#SPJ 1

8 0

2 years ago

How many degrees is angle “X”?

aleksley [76]

Answer:

The answr is 102 degrees. Here's why

Step-by-step explanation:

The square means the angle is 90 degrees. Therefore, for the big triangle, we already know 2 of the degrees, 50 and 90. A triangle's degrees add up to 180. 50+90=140. 180-140=40. This means the top angle is 40. Now finding X is easy, because we already know the other 2 points in the triangle, which are 38 and 40. Add those up, you get 78. 180-78=102, your answer. The triangle is 102 degrees.

6 0

3 years ago

Read 2 more answers

At the gas station, each liter of gas costs $ 3 $3dollar sign, 3, but there's a promotion that for every beverage you purchase y

IgorC [24]

Answer:

Yes! Our total savings on gas proportional to the number of beverages you purchase.

Step-by-step explanation:

Here, each liter of gas costs $3.

Every beverage you purchase you save $0.20.

So, if you purchase for $9, you will save 3*$0.20 = $0.60

So, this is proportional because when increase in purchase, there is proportional increase in savings.

6 0

4 years ago

8. Hassan made a vegetable salad with 2 3/8 pounds

amm1812

let's convert firstly the mixed fractions to improper fractions and then add up.

$\bf \stackrel{mixed}{2\frac{3}{8}}\implies \cfrac{2\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{19}{8}}~\hfill \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} \\\\\\ \stackrel{mixed}{2\frac{7}{8}}\implies \cfrac{2\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{23}{8}} \\\\[-0.35em] ~\dotfill$

$\bf \cfrac{19}{8}+\cfrac{5}{4}+\cfrac{23}{8}\implies \stackrel{\textit{using an LCD of 8}}{\implies \cfrac{(1)19+(2)5+(1)23}{8}}\implies \cfrac{19+10+23}{8} \\\\\\ \cfrac{52}{8}\implies \cfrac{13}{2}\implies 6\frac{1}{2}$

5 0

3 years ago