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Alekssandra [29.7K]

2 years ago

6

Factor 2x2 + 6x - 108.

2 answers:

aleksandr82 [10.1K]2 years ago

5 0

2(x-6)(x+9)
Answer is B

brilliants [131]2 years ago

4 0

Answer:

b) 2(x-6)(x+9)

Step-by-step explanation:

2x^2+6x-108

Factor out the 2, common factor!!!

2 (x^2 +3x -54)

Now time to factor, what to numbers multiply to get -54 and add to get 3

6,9 look good

what combination???

9,-6 because 9-6 = 3 and 9x-6=-54

so

2(x-6)(x+9)

From what I'm use to you put the 2 back in by dividing the numbers but in this case you dont need to.

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mark invests 8000 in an account that pays 12% interest and 2000 in one that pays 8%. if he leaves the money in the accounts for

frez [133]

mark must leave it for 5.5 months or 5 and half moths to gain 5600 in interest .

<u>Step-by-step explanation:</u>

Here we have , mark invests 8000 in an account that pays 12% interest and 2000 in one that pays 8%. if he leaves the money in the accounts for the same length of time, We need to find how long must he leave it to gain 5600 in interest . Let's find out:

Let mark invests 8000 in an account that pays 12% interest and 2000 in one that pays 8% for time x months , So total interest gain is 5600 i.e.

⇒ $\frac{8000(12)}{100}(x) +\frac{2000(8)}{100}(x) =5600$

⇒ $\frac{8000(12)+2000(8)}{100}(x) =5600$

⇒ $(80(12)+20(8))(x) =5600$

⇒ $(960+160)(x) =5600$

⇒ $(1020)(x) =5600$

⇒ $x =\frac{5600}{1020}$

⇒ $x =5.5$

Therefore , mark must leave it for 5.5 months or 5 and half moths to gain 5600 in interest .

6 0

2 years ago

Juan made a design with polygons. which polygon in juan's design is pentagon

larisa86 [58]

The pentagon is the one with 5 sides. Good Luck!

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What is the best estament of 12762

NeX [460]

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Step-by-step explanation:

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Please can u give me this answer ☹️

Jlenok [28]

Answer:

the second one

Step-by-step explanation:

Hello There!

The area of a triangle can be found using this formula

$A = \frac{1}{2} (a+b)h$

where a and b = bases and h = height

The trapezoid shown has the following dimensions

top base = 9cm

bottom base = 14 cm

height = 12 cm

slant height = 13 cm

using this information, we plug in the values into the formula

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the equation we created matches the 2nd equation therefore the second one is your answer

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2 years ago

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Here are the first five terms of an arithmetic sequence.

Assoli18 [71]

Answer:

The nth term of an AP will be 27 -7n.

Step-by-step explanation:

First five terms of the Arthemetic Sequence is given to us , which is 26 , 19 , 12 , 5

Hence here Common Difference can be found by subtracting two consecutive terms . Here which is 19 - 26 = (-7) .

Here first term is 26 .

And the nth term of an AP is given by ,

★ T_n = a + ( n - 1) d

<u>Subst</u><u>ituting</u><u> respective</u><u> values</u><u> </u><u>,</u>

⇒ T_n = a + ( n - 1 )d

⇒ T_n = 26 + (n - 1)(-7)

⇒ T_n = 26 -7n+1

⇒ T_n = 27 - 7n

<h3><u>Hence </u><u>the</u><u> </u><u>nth</u><u> </u><u>term</u><u> of</u><u> an</u><u> </u><u>AP</u><u> </u><u>can</u><u> </u><u>be</u><u> </u><u>found </u><u>using </u><u>T_</u><u>n</u><u> </u><u>=</u><u> </u><u>2</u><u>7</u><u> </u><u>-</u><u> </u><u>7</u><u>n</u><u>. </u></h3>

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