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zvonat [6]
2 years ago
9

Use the Distributive Property to solve the equation.4(x - 6) + 6 = 6x-2​

Mathematics
2 answers:
KatRina [158]2 years ago
5 0

Answer:

x = -8

Step-by-step explanation:

(4 · x) - (4 · 6) + 6 = 6x - 2

4x - 24 + 6 = 6x - 2

4x - 18 = 6x - 2

Isolate x.

4x = 6x - 2 + 18

4x = 6x + 16

4x - 6x = 16

-2x = 16

x = 16 ÷ -2

x = -8

I hope this helps! :)

kkurt [141]2 years ago
3 0

Answer:

-8 =x

Step-by-step explanation:

4(x - 6) + 6 = 6x-2​

Distribute the 4

4x - 24 +6 = 6x-2

Combine like terms

4x - 18 = 6x-2

Subtract 4x from each side

4x-18-4x = 6x-2-4x

-18 = 2x-2

Add 2 to each side

-18+2 = 2x-2+2

-16 = 2x

Divide each side by 2

-16/2 =2x/2

-8 =x

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KJ, IK, HI, HK, then HJ

i think this is it. hope it helps!! :)

7 0
2 years ago
For f(x)=x^2,sketch the graph of g(x)=f(-5x+10)
DiKsa [7]

The graph of g(x) = f(-5x+10) is given in the figure.

<h3>What is a graph?</h3>

A diagram showing the relation between two variable quantities,each measured along one of a pair of axes at right angles.

It is given that f(x) = x^2

and g(x ) = f(-5x+10)

Now putting the value of f(x) in g(x) we get,

g(x)  = f(-5x+10)  = (-5x+10)^2

So, g(x) = (-5x+10)^2

now, making the table for g(x),

<u><em>x </em></u><u>g(x)</u>

0 100

1 81

2 0

3 25

4 100

5 225

Hence,the graph of g(x) = f(-5x+10) is given in the figure.

More about graph :

brainly.com/question/11616742

#SPJ1

3 0
1 year ago
.In the Star Wars franchise, Yoda stands at only 66 centimeters tall. Suppose you want to see whether or not hobbits from the Lo
r-ruslan [8.4K]

Answer:

We conclude that the average height of hobbit is taller than Yoda.

Step-by-step explanation:

We are given that in the Star Wars franchise, Yoda stands at only 66 centimetres tall.

From a sample of 7 hobbits, you find their mean height \bar X = 80 cm with standard deviation s = 10.8 cm.

<u><em /></u>

<u><em>Let </em></u>\mu<u><em> = average height of hobbit.</em></u>

So, Null Hypothesis, H_0 : \mu \leq 66 cm      {means that the average height of hobbit is shorter than or equal to Yoda}

Alternate Hypothesis, H_A : \mu > 66 cm      {means that the average height of hobbit is taller than Yoda}

The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about population standard deviation;

                     T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n}}}  ~ t_n_-_1

where, \bar X = sample mean height = 80 cm

             s = sample standard deviation = 10.8 cm

             n = sample of hobbits = 7

So, <u><em>test statistics</em></u>  =  \frac{80-66}{\frac{10.8}{\sqrt{7}}}  ~ t_6

                              =  3.429

The value of t test statistics is 3.429.

<em>Now, at 0.01 significance level the t table gives critical value of 3.143 for right-tailed test. Since our test statistics is more than the critical value of t as 3.429 > 3.143, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><em><u>we reject our null hypothesis</u></em><em>.</em>

<em />

Therefore, we conclude that the average height of hobbit is taller than Yoda.

3 0
3 years ago
Co...
Julli [10]

Answer:

16

Step-by-step explanation:

Multiplecation by the length width, and the height, then divide and its 16.

8 0
3 years ago
The sum of two numbers is 27. One number is 2 times as large as the other. What are the numbers?
mafiozo [28]
X+y=27
x=2y

2y+y=27
y=9

x=27-y
x=27-9=18
7 0
2 years ago
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