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Naily [24]
3 years ago
5

Solve for x: 3(x + 1) = −2(x − 1) − 4. 1 −1 −5 −25

Mathematics
2 answers:
LekaFEV [45]3 years ago
6 0
3x + 3 = -2x + 2 - 4
3x + 3 = -2x - 2
Add 2 to each side
3x + 5 = -2x
Subtract -3x from both sides
5 = -5x
Divide each side by 5
1 = -x
Since you can leave x negative you reverse it with 1 and your answer will be >>> x = -1
zimovet [89]3 years ago
5 0
-1 is the answer.
(Distribute 3 through the parenthesis and then distribute-2 through the parenthesis)
3x+3 = +2x+2-4
(Move the variable to the left side and change its sign and then move the constant to the right side and change its sign)
3x+2x = -2-3
(Collect the like and then calculate the sum or difference)
5x = -1
(Divide both sides of the equation by 5)
x = -1
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43. Consider the equation 4(x-8)+y=9(x-2)
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The expression of the equation 4(x - 8) + y = 9(x - 2) in slope intercept form is; y = 5x + 14

<h3>How to write an equation in Slope Intercept form?</h3>

We want to express 4(x - 8) + y = 9(x - 2) in slope intercept form of y = mx + b.

Let us expand the equation to get;

4x - 32 + y = 9x - 18

Isolate y to get;

y = 9x - 4x - 18 + 32

y = 5x + 14

Thus;

Slope = 5

y - intercept = 14

x - intercept = -2.8

Read more about Slope Intercept Form at; brainly.com/question/1884491

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5 0
1 year ago
Please help with these 3 pretty easy problems and explain how you got it!!! 100 POINTS AND BRAINLIEST!!!! Serious answers please
natita [175]

Answer:

Step-by-step explanation:

1)

(x-3)/18=12/9, cross multiply

9(x-3)=18(12)

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9x=243, divide each side by 9

x=27

2)

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5(x-16)=3(x+6)

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2x-80=18, add 80 to each side

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x=49

3)

Since the triangles are similar we can say that

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25(x+5)=10(4x-1)

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7 0
2 years ago
Read 2 more answers
a) The mean age of graduate students at a University is at most 31 y ears with a standard deviation of two years. A random sampl
kari74 [83]

Answer:

A.)

H0: μ ≤ 31

H1: μ > 31

B.)

H0: μ ≥ 16

H1: μ < 16

C.)

Right tailed test

D.)

If Pvalue is less than or equal to α ; we reject the Null

Step-by-step explanation:

The significance level , α = 0.01

The Pvalue = 0.0264

The decision region :

Reject the null if :

Pvalue < α

0.0264 > 0.01

Since Pvalue is greater than α ; then, we fail to reject the Null ;

Then there is no significant evidence that the mean graduate age is more Than 31.

B.)

H0: μ ≥ 16

H1: μ < 16

Null Fluid contains 16

Alternative hypothesis, fluid contains less than 16

One sample t - test

C.)

Null hypothesis :

H0 : μ ≤ 12

. The direction of the sign in the alternative hypothesis signifies the type of test or tht opposite direction of the sign in the null hypothesis.

Hence, this is a right tailed test ; Alternative hypothesis, H1 : μ > 12

d.)

If Pvalue is less than or equal to α ; we reject the Null.

3 0
2 years ago
Twice a number is one?
Law Incorporation [45]

Answer:

2x=1

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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