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3 years ago

6

Factor each Polynomial

="a^{2}-4a-24+6a" align="absmiddle" class="latex-formula">

1 answer:

Keith_Richards [23]3 years ago

5 0

Answer:

Correct answer: (a - 4) · (a + 6)

Step-by-step explanation:

Given:

a² - 4a - 24 + 6a = a² - 4a + 6a - 24 = a (a - 4) + 6 (a - 4) = (a - 4) · (a + 6)

God is with you!!!

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WILL GIVE A BRAINLEST!!!!!!

Andrej [43]

We have that
<span>(c-4)/(c-2)=(c-2)/(c+2) - 1/(2-c)
</span>- 1/(2-c)=-1/-(c-2)=1/(c-2)

(c-4)/(c-2)=(c-2)/(c+2)+ 1/(c-2)------- > (c-4)/(c-2)-1/(c-2)=(c-2)/(c+2)
(c-4-1)/(c-2)=(c-2)/(c+2)---------------- > (c-5)/(c-2)=(c-2)/(c+2)

(c-5)/(c-2)=(c-2)/(c+2)------------- > remember (before simplifying) for the solution that c can not be 2 or -2
(c-5)*(c+2)=(c-2)*(c-2)------------------ > c²+2c-5c-10=c²-4c+4
-3c-10=-4c+4----------------------------- > -3c+4c=4+10----------- > c=14

the solution is c=14

the domain of the function is (-∞,-2) U (-2,2) U (2,∞) or
<span>all real numbers except c=-2 and c=2</span>

5 0

3 years ago

Read 2 more answers

14. Phyllis wants to hire a clown to entertain at her daughter's birthday party.

kaheart [24]

Answer:

C=25+5.50n

Step-by-step explanation:

C=25+5.50n where c is the total cost and n is the number of hours the clown entertains.

3 0

3 years ago

Built around 2600 BCE, the Great Pyramid of Giza in Egypt is 485 ft high (due to erosion, its current height is slightly less) a

Morgarella [4.7K]

Answer:1.69*10^12 J

Step-by-step explanation:

From figure above, using triangle ratio

485/755.5=y/l. Cross multiplying 485l=755.5y Divide via 485) hence l= 755.5y/485

Consider a slice volume Vslice= (755.5y/485)^2∆y; recall density =150lb/ft^3

Force slice = 150*755.5^2.y^2.∆y/485^2

From figure 2 in the attachment work done for elementary sclice

Wslice= 150.755.5^2.y^2.∆y.(485-y)/485^2

= (150*755.5^2*y^2)(485-y)∆y/485

To calculate the total work we integrate from y=0 to y= 485

Ie W=[ integral of 150*755.5^2 *y^2(485-y)dy/485] at y=0 and y= 485

Integrating the above

W= 150*755.5^2/485[485*y^3/3-y^4/4] at y= 0 and y=485

W= 150*755.5^2/485(485*485^3/3-484^4/4)-(485.0^3/3-0^4/4)

Work done 1.69*10^12joules

7 0

3 years ago

At the restaurant, your family orders a subtotal of $46.55. Add 6% sales tax and 18% tip. What is the total?

ICE Princess25 [194]

Answer:

Step-by-step explanation:

Now,

if you add the tip after the sales tax,

you will have:

46.55*(6/100)=2.79

the meal cost now 46.55+2.79=49.34

we add tip

49.34*(18/100)=8.88

total cost 49.34+8.88=58.22

8 0

3 years ago

HELP ME I DON'T UNDERSTAND THIS :(

andriy [413]

Answer:

c

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

$\frac{AD}{WZ}$ = $\frac{CD}{YZ}$ , substitute values

$\frac{10}{46}$ = $\frac{5}{YZ}$ ( cross- multiply )

10YZ = 230 ( divide both sides by 10 )

YZ = 23 → c

3 0

3 years ago