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Vika [28.1K]
2 years ago
12

Consider figures 1 and 2 shown in the coordinate plane. Figure 1 has been translated to produce figure 2.

Mathematics
1 answer:
Tamiku [17]2 years ago
5 0

Answer:

A translation 8 units right and 2 units down

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Solve – 6(x – 3) + x + 3 = -9 for x.
soldi70 [24.7K]

Answer:

In this equation, the value of x is equal to 6.

Step-by-step explanation:

We are given an algebraic equation in which we need to solve for x.

We can use several properties and algebraic methods to solve this equation.

\displaystyle -6(x - 3) + x + 3 = -9

Firstly, we want to use the distributive property to evaluate the first term in the equation: -6(x - 3).

-6(x - 3) + x + 3 = -9\\\\-6x + 18 + x + 3 = -9

By distributing the -6 through, we get -6x and positive 18. Then, we need to begin combining like terms. Let's start with our constants (or the terms without a variable).

-6x + 18 + x + 3 = -9\\\\18 + 3 = 21\\\\-6x + x + 21 = -9

Then, we can combine our terms with variables.

-6x + x + 21 = -9\\\\-6x + x = -5x\\\\-5x + 21 = -9

Now, we can use the subtraction property of equality which states that if we subtract a term from one side of an equation, we must also subtract it from the opposite side. Therefore, we want to get x by itself, so we can subtract 21 from both sides using the subtraction property of equality to do this.

-5x + 21 = -9\\\\-5x + 21 - 21 = -9 -21\\\\-5x = -30

Finally, we can use the division property of equality and divide both sides of the equation by -5 to isolate x.

\displaystyle -5x = -30\\\\\frac{-5x}{-5} = \frac{-30}{-5}\\\\x = 6

Therefore, by solving the multi-step equation, we solved that x = 6.

3 0
3 years ago
Alma is estimating the proportion of students in her school district who, in the past month, read at least 1 book. From a random
Maurinko [17]

Answer:

D)

(0.64 +1.645 \sqrt{\frac{0.64(0.36)}{50} })

90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month

(0.52846 , 0.75166)

Step-by-step explanation:

<u><em>Step:-1</em></u>

Given that the random sample size 'n' = 50

The sample proportion

                       p^{-} = \frac{32}{50} = 0.64

90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month

(p^{-} - Z_{0.90} \sqrt{\frac{p(1-p)}{n},  } , p^{-} +Z_{0.90} \sqrt{\frac{p(1-p)}{n} })

<u><em>Step(ii):-</em></u>

Level of significance = 0.90

Z₀.₉₀ = 1.645

(0.64 - 1.645 \sqrt{\frac{0.64(1-0.64)}{50},  } , 0.64 +1.645 \sqrt{\frac{0.64(1-0.64)}{50} })

(0.64 - 1.645 \sqrt{\frac{0.64(0.36)}{50},  } , 0.64 +1.645 \sqrt{\frac{0.64(0.36)}{50} })

(0.64 -1.645(0.06788) , (0.64 + 1.645(0.06788)

(0.52846 , 0.75166)

<u><em>Final answer:-</em></u>

90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month

(0.52846 , 0.75166)

5 0
3 years ago
2+2^2 divided by 4+3
denis-greek [22]

Answer:

4.5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Does anybody like/play Slime Rancher
Georgia [21]

Answer:

yes but y do u ask?

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What are the powers of 3 through 1000? AND DONT JUST SAY A FEW I NEED ALL OF THEM
galben [10]

Answer:

1, 3, 9, 27, 81, 243, 729

Step-by-step explanation:

The powers of 3 are:

3^0 = 1

3^1 = 3

3^2 = 9

3^3 = 27

3^4 = 81

3^5 = 243

3^6 = 729

3^7 = 2187

And so on...

So through 1000: 1, 3, 9, 27, 81, 243, 729

3 0
4 years ago
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