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2 years ago

Simplify 6(x + 2) + 7. 6x + 9 6x + 15 6x + 19

Mathematics

2 answers:

salantis [7]2 years ago

4 0

Answer:

6x +19

Step-by-step explanation:

6(x +2) +7

distribute the 6 (multiply 6*x and 6*2)

6x + 12

add the 7 to the 12

=6x + 19

djyliett [7]2 years ago

4 0

Answer:

6x+19

Step-by-step explanation:

6 x 2 = 12 + 7= 19 so

6x+19

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Pleasehelp me algebra 2

leva [86]

The average rate of change is 12.

27 - 3 = 24.

1 - (-1) = 2 [it’s essentially 1 + 1].

24/2 = 12.

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3 years ago

Geometric Series assistance

Levart [38]

we have been asked to find the sum of the series

$\sum _{n=1}^5\left(\frac{1}{3}\right)^{n-1}$

As we know that a geometric series has a constant ratio "r" and it is defined as

$r=\frac{a_{n+1}}{a_n}=\frac{\left(\frac{1}{3}\right)^{\left(n+1\right)-1}}{\left(\frac{1}{3}\right)^{n-1}}=\frac{1}{3}$

The first term of the series is $a_1=\left(\frac{1}{3}\right)^{1-1}=1$

Geometric series sum formula is

$S_n=a_1\frac{1-r^n}{1-r}$

Plugin the values we get

$S_5=1\cdot \frac{1-\left(\frac{1}{3}\right)^5}{1-\frac{1}{3}}$

On simplification we get

$S_5=\frac{121}{81}$

Hence the sum of the given series is $\frac{121}{81}$

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2 years ago

A dog walks at a speed of 3mi/hr for 2 hours. How far (distance) did the dog walk? *

Nikolay [14]

Answer:

6 miles

Step-by-step explanation:

After one hour the dog will have walked three miles after two hours the dog will have walked three more miles for a total of 6 miles.

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2 years ago

Burka [1]

Answer:

Step-by-step explanation:

$F \alpha \frac{1}{d^{2} }$

$F = \frac{K}{d^{2} }$

When F = 18; d = 2

$18 = \frac{K}{2^{2} }$

$18 = \frac{K}{4}$

Cross multiply;

18 x 4 = K

72 = K

There the equation connecting F and $d^{2}$ is

$F = \frac{72}{d}$

Now, Find F when d = 6

All you do is to substitute d = 6 in to $F = \frac{72}{d}$

$F = \frac{72}{6}$

Therefore;

F = 12

Please mark me brainiest if correct.

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2 years ago

Spiral Review:

polet [3.4K]

Answer:

first, how many cups in a gallon. 4 cups/quart, 4 quarts/gallon- 16 cups per gallon

144/16= 9 gallons

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2 years ago