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2 years ago

You start at (-4, 0). You move left 1 unit and down 5 units. Where do you end?

Mathematics

1 answer:

Natasha2012 [34]2 years ago

8 0

Answer: (-5, -5)

Step-by-step explanation:

(-4, 0)

Here, -4 is our x value and 0 is our y value

The x value moves horizontal (left and right) while the y value moves vertical (up and down)

If we move 1 unit left, we change x by -1 so, -4 -1 = -5

If we move 5 units down, we change y by -5 so, 0 -5 = -5

Therefore,

our new endpoint is: (-5, -5)

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Answer for<br> -4 (-x + 2) = 2 (3x - 7)

Lana71 [14]

Step-by-step explanation:

-4 (-x + 2) = 2 (3x - 7)

2x-4=3x-7

x=3

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3 years ago

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An article regarding interracial dating and marriage recently appeared in the Washington Post. Of the 1,709 randomly selected ad

VMariaS [17]

Answer:

The 95% confidence interval for the percent of all black adults who would welcome a white person into their families is (0.8222, 0.8978).

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.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

323 blacks, 86% of blacks said that they would welcome a white person into their families. This means that $n = 323, p = 0.86$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.86 - 1.96\sqrt{\frac{0.86*0.14}{323}} = 0.8222$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.86 + 1.96\sqrt{\frac{0.86*0.14}{323}} = 0.8978$

The 95% confidence interval for the percent of all black adults who would welcome a white person into their families is (0.8222, 0.8978).

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3 years ago

The graph of the function f(x) = -(x+3)(x - 1) is shown below. What is true about the domain and range of the function? у The do

Nataly_w [17]

Answer:

The domain will be all real numbers, range will be all real numbers below -3

Step-by-step explanation:

its quadratic so it goes forever left and right. but the vertex has a y value of -3. It is a negative sloped graph, so anything below that is in the range

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3 years ago

Choose the equation that could be used to solve this problem.

olganol [36]

23 is the number the answer is c

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3 years ago

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The sum of two numbers is the same as four times the smaller number. If twice the larger is decreased by the smaller, the result

liraira [26]

The two numbers are 6 and 18

Step-by-step explanation:

The given is:

The sum of two numbers is the same as four times the smaller number
If twice the larger is decreased by the smaller, the result is 30

We need to find the the numbers

Assume that the smaller number is x and the larger number is y

∵ The smaller number = x

∵ The larger number = y

∵ The sum of the two numbers is the same as four times the

smaller number

- That means add the two numbers and equate the sum by four

times x

∴ x + y = 4x

- Subtract both sides by x

∴ y = 3x ⇒ (1)

∵ Twice the larger number is decreased by the smaller number,

the result is 30

- That means multiply y by 2 and subtract x from the product,

then equate the difference by 30

∴ 2y - x = 30 ⇒ (2)

- Substitute y in equation (2) by equation (1)

∵ 2(3x) - x = 30

∴ 6x - x = 30

- Add like terms in the left hand side

∴ 5x = 30

- Divide both sides by 5

∴ x = 6

- Substitute the value of x in equation (1) to find y

∵ y = 3(6)

∴ y = 18

The two numbers are 6 and 18

Learn more:

You can learn more about the system of equation in brainly.com/question/2115716

#LearnwithBrainly

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3 years ago