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3 years ago

11

Solve for x: 3(x + 1) = −2(x − 1) + 6.

2 answers:

monitta3 years ago

8 0

<span> 3( x + 1 ) = - 2 ( x - 1 ) + 6 </span>

<span>1) Clear the parentheses by distributing the 3 and the - 2 </span>
<span>When you have done that, this is what you will get: </span>
<span>3x + 3 = - 2x + 2 + 6 </span>

<span>2) Combine the like terms on the right </span>
<span>You will get this: </span>
<span>3x + 3 = - 2x + 8 </span>

<span>3) Add 2x to both sides to collect all the x terms together on the same side </span>
<span>When you finish doing that, you will have </span>
<span>5x + 3 = 8 </span>

<span>4) Subtract 3 from both sides to isolate the 5x term alone on one side </span>
<span>You will get </span>
<span>5x = 5 </span>

<span>5) Divide both sides by 5 to isolate x </span>
<span>x = 1 <-- answer</span>

RoseWind [281]3 years ago

7 0

<span>Step 1: 3(x + 1) = −2(x − 1) + 6
</span><span>Step 2: 3x + 3 = -2x + 2 + 6
</span><span>Step 3: 5x = 2 + 6 - 3
</span><span>Step 4: 5x = 5
</span><span>Step 5: x = 1
</span>Hope this helps (:

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I have a piece of material 17 ft i only need 5/8 of it how much is that

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5/8 of 17 is 10.625!

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3 years ago

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Alexxandr [17]

The denominator is 40
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Hope this helps!

8 0

3 years ago

the mean of the commute time to work for a resident of a certain city is 28.8 minutes. assume the standard deviation of the comm

hjlf

Answer:

The minimum percentage of the commuters in the city has a commute time within 2 standard deviations of the mean is 75%.

Step-by-step explanation:

We have no information about the shape of the distribution, so we use Chebyshev's Theorem to solve this question.

Chebyshev Theorem

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by $100(1 - \frac{1}{k^{2}})$ .

Applying the Theorem

The minimum percentage of the commuters in the city has a commute time within 2 standard deviations of the mean is 75%.

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4 years ago

Evaluate 9(4x – 15) if x = 3.

4vir4ik [10]

Answer:

-27

Step-by-step explanation:

9(4x – 15)

Substitute 3 for x

9((4)(3) - 15)

Multiply (4)(3) = 12

9 ( 12 - 15 )

Subtract 12 - 15 = -3

9(-3)

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4 years ago

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What is the average rate of change for h(t) between t=0 and t=2

nordsb [41]

Part a: Option D 18 feet per second

Part b: increasing

Solution:

Height $h(t)=-16 t^{2}+50 t+3$

Part a: To find the average rate of change for h(t) between t = 0 and t = 2.

Substitute t = 0 in h(t).

$h(0)=-16 (0)^{2}+50 (0)+3$

h(0) = 3

Substitute t = 2 in h(t).

$h(2)=-16 (2)^{2}+50 (2)+3$

h(2) = 39

Average rate of change formula:

$$=\frac{h(b)-h(a)}{b-a}$

Here, a = 0 and b = 2.

$$=\frac{h(2)-h(0)}{2-0}$

$$=\frac{39-3}{2}$

$$=\frac{36}{2}$

= 18

Average rate of change = 18 feet per second

Option D is the correct answer.

Part b:

This means height of the ball is increasing for 0 < x < 2.

6 0

3 years ago