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3 years ago

Simplify and factor the following expression 3(2x+4)+2(3x-4)

Mathematics

2 answers:

Aleonysh [2.5K]3 years ago

8 0

Answer:

12x+4

Step-by-step explanation:

irina1246 [14]3 years ago

6 0

3 (2x + 4) + 2 (3x - 4)

6x + 12 + 6x - 8

6x + 6x + 12 - 8

12x + 4

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Please help, PhotoMath isn’t helping and I don’t understand

Pie

Answer:

Option B

Step-by-step explanation:

As here,

In all the options processes in 3rd step .

As the bases are same exponents get added. 

And in Option B 3rd step it has been correctly done form of,

${ ({2}^{ \frac{1}{4} } )}^{4} = 4$

Is correct simplification.

4 0

2 years ago

Leo's bank balances at the end of months 1, 2, and 3 are $1500, $1530, and $1560.60,

grandymaker [24]

Leo's balance after 9 months will be: $1757.49

Step-by-step explanation:

It is given that the balances follow a geometric sequence

First of all, we have to find the common ratio

Here

$a_1 = 1500\\a_2 = 1530\\a_3 = 1560.60$

Common ratio is:

$r = \frac{a_2}{a_1} = \frac{1530}{1500} = 1.02\\r = \frac{a_3}{a_2} = \frac{1560.60}{1530} = 1.02$

So r = 1.02

The general form for geometric sequence is:

$a_n = a_1r^{n-1}$

Putting the first term and r

$a_n = 1500 . (1.02)^{n-1}$

To find the 9th month's balance

Putting n=9

$a_9 = 1500 . (1.02)^{9-1}\\= 1500.(1.02)^8\\=1757.4890$

Rounding off to nearest hundredth

$1757.49

Hence,

Leo's balance after 9 months will be: $1757.49

Keywords: Geometric sequence, balance

Learn more about geometric sequence at:

#LearnwithBrainly

5 0

3 years ago

$2665 is compounded annually at a rate of 9% for 1 year

MakcuM [25]

Answer:

$2675

Step-by-step explanation:

7 0

3 years ago

If (x + 2) is a factor of x3 − 6x2 + kx + 10, k =

ch4aika [34]

Answer:

The value of k is -11

Step-by-step explanation:

If (x+2) is a factor of x3 − 6x2 + kx + 10:

Then,

f(x)=x3 − 6x2 + kx + 10

f(-2)=0

f(-2)=(-2)³-6(-2)²+k(-2)+10=0

f(-2)= -8-6(4)-2k+10=0

f(-2)= -8-24-2k+10=0

Solve the like terms:

f(-2)=-2k-22=0

f(-2)=-2k=0+22

-2k=22

k=22/-2

k=-11

Hence the value of k is -11....

5 0

3 years ago

Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears measured in foot-pounds is

solong [7]

Step-by-step explanation:

The explanation and the graphical representation is attached

6 0

3 years ago