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timurjin [86]
3 years ago
11

What is 4x – 97 + 12 – x = -80.5

Mathematics
2 answers:
fiasKO [112]3 years ago
8 0

Answer:

x=1.5

Step-by-step explanation:

4x-97+12-x=-80.5

Combine like terms

-97+12=-85

4x-x=3x

now you have 3x-85=-80.5

add 85 to both sides and now you have

3x=4.5

Now divide 3 to both sides and you get x=1.5

Furkat [3]3 years ago
5 0

Answer: x - 1.5

4x – 97 + 12 – x = -80.5

3 x - 85 = -80.5

3 x - 85 +85 = -80.5 + 85

3x = -80.5 + 85

3x = 4.5

x = 1.5

Step-by-step explanation: hope this helps

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elena55 [62]

Answer:

\displaystyle y-5=-\frac{10}{9}(x+6)

Or:

\displaystyle y+5=-\frac{10}{9}(x-3)

Step-by-step explanation:

We want to write the equation of a line that passes through the points (-6, 5) and (3, -5) in point-slope form.

Point-slope form is given by:

y-y_1=m(x-x_1)

Thus, first, we need to find the slope. We can use the slope formula:

\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{(-5)-(5)}{(3)-(-6)}=\frac{-10}{9}=-\frac{10}{9}

Next, we can use either of the two given points. I'll use (-6, 5). So, let (-6, 5) be (<em>x₁, y₁</em>). Substitute:

\displaystyle y-(5)=-\frac{10}{9}(x-(-6))

Or, fully simplified:

\displaystyle y-5=\frac{-10}{9}(x+6)

Using the other point, we will acquire:

\displaystyle y-(-5)=-\frac{10}{9}(x-(3))

Or, simplified:

\displaystyle y+5=-\frac{10}{9}(x-3)

8 0
3 years ago
How to simplify this expression
dexar [7]

Answer:

  \dfrac{x+2}{x+1}

Step-by-step explanation:

Factor the numerator and cancel common factors from numerator and denominator.

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In 2017 the population of Rexburg, Idaho was 28,337 people. The population was expected to grow at a rate of about 1.26% per yea
frez [133]

Answer:

30,122

Step-by-step explanation:

This probably isn't the fastest way to solve but....

28,337x1.26%= 357

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6 0
3 years ago
I need help with 13
Usimov [2.4K]

9514 1404 393

Answer:

  g(x) = (x -3)² -6

Step-by-step explanation:

You know that a function f(x) is translated h units to the right when x is replaced by x-h.

  g(x) = f(x-h) . . . . . translated h units right

You also know that a function f(x) is translated k units up when k is added to the function value.

  g(x) = f(x) +k . . . . . translated k units up

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Here, we want to translate f(x) 3 units right and 6 units down. Using the above relations, we will get ...

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3 years ago
A survey of 542 consumers reveals that 301 favor the new design for a product. Construct a 90% confidence interval for the true
kodGreya [7K]

Answer:

The 90% confidence interval for the true proportion of all consumers who favor the design is (0.52, 0.59).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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For this problem, we have that:

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The lower limit of this interval is:

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The upper limit of this interval is:

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The 90% confidence interval for the true proportion of all consumers who favor the design is (0.52, 0.59).

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3 years ago
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