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3 years ago

Solve the following equation 4(x-3)+5=1

2 answers:

6 0

So first you multiply x and -3 by 4 to distribute, then you collect like terms so (-12+5=-7) , then you add seven to both sides and the -7+7 cancels out so you have 4x by itself, then you divide 4x/4 but it cancels out to and 8 by 4 to get x and you answer should be x=2. Hope this helped

4(x-3)+5=1
4x-12+5=1
4x-7=1
+7 +7
4x=8
4x/4 8/4

x=2

joja [24]3 years ago

3 0

4(x - 3) + 5 = 1....distribute thru the parenthesis
4x - 12 + 5 = 1....simplify
4x - 7 = 1...add 7 to both sides
4x = 1 + 7...simplify
4x = 8...divide both sides by 4
x = 8/4
x = 2 <===

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<img src="https://tex.z-dn.net/?f=z%20%3D%203%20%2B%20i%20%5C%5C%20%7Bz%7D%5E%7B5%7D%20%3D%20" id="TexFormula1" title="z = 3 + i

jarptica [38.1K]

Answer:

$z^{5}$ = - 12 + 316 i

Step-by-step explanation:

Given that -

z = 3 + i

 $z^{2}$ = $( 3 + i )^{2}$ 

$z^{2}$ = 9 + $i^{2}$ + 6 i

$z^{2}$ = 9 - 1 + 6 i

$z^{2}$ = 8 + 6 i

 $z^{3}$ = $z^{2}$ × z

$z^{3}$ = ( 8 + 6 i ) × ( 3 + i )

$z^{3}$ = 24 + 8 i + 18 i + 6 i²

$z^{3}$ = 24 + 26 i - 6

$z^{3}$ = 18 + 26 i

$z^{5}$ = $z^{2}$ × $z^{3}$

$z^{5}$ = ( 8 + 6 i ) × ( 18 + 26 i )

$z^{5}$ = 144 + 208 i + 108 i + 156 i²

$z^{5}$ = 144 + 316 i -156

$z^{5}$ = - 12 + 316 i

6 0

3 years ago

a taxi cab charges a flat fee of $2.00, plus $0.25 for every mile driven. If the fare comes to $7.75, what equation could be use

PIT_PIT [208]

Answer:

7.75 = .25x + 2

Step-by-step explanation:

4 0

3 years ago

A set of electric toothbrush prices are normally distributed with a mean of 87 dollars and a standard deviation of

Studentka2010 [4]

Answer:

The proportion of electric toothbrush prices are between 104.60 dollars and 108.20 dollars is 0.0099

Step-by-step explanation:

A set of electric toothbrush prices are normally distributed with a mean of 87 dollars and a standard deviation of 8 dollars.

$Mean = \mu = 87$

Standard deviation = $\sigma = 8$

We are supposed to find proportion of electric toothbrush prices are between 104.60 dollars and 108.20 dollars i.e.P(104.60<x<108.20)

$Z=\frac{x-\mu}{\sigma}$

At x = 104.60

$Z=\frac{104.60-87}{8}$

Z= 2.2

At x=108.20

$Z=\frac{108.20-87}{8}$

Z= 2.65

Refer the z table for p value :

P(x<108.20)-P(x<104.60)=P(Z<2.65)-P(Z<2.2)=0.9960-0.9861=0.0099

Hence The proportion of electric toothbrush prices are between 104.60 dollars and 108.20 dollars is 0.0099

4 0

3 years ago

Take(10 2+7−3)from(4 2−9+12)

olchik [2.2K]

Answer: -13

How to: Simplify the expression.

5 0

3 years ago

Read 2 more answers

You mow the lawn to earn your allowance. Each time you mow the lawn you earn \$12$12dollar sign, 12. Write an equation for the n

horrorfan [7]

For this case, the first thing we must do is define variables.
m: number of times you cut the grass
d: amount of dollars you earn.
We now write the linear equation that models the problem:
d = 12m
The slope of the line is 12, which means that each time you cut the grass, you earn 12 dollars.
Answer:
an equation for the number of dollars, d, you earn when you mow the lawn m times is:
d = 12m

6 0

3 years ago