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Irina-Kira [14]
3 years ago
8

Write an equation to model the distance between the point (2,4) and any point along the curve

Mathematics
1 answer:
zlopas [31]3 years ago
7 0

Answer:

Distance D = √ [(2 - x)^2 + (3 - 4x^3)^2].

Step-by-step explanation:

Use the distance formula:

D = √[(x2 - x1)^2 + (y2 - y1)^2].

So here it is

D = √[(2 - x)^2 + (4 - y)^2]    where x,y is any point on the curve.

D = √[2 - x)^2 + (4 - (4x^3 + 1))^2]

D = √ [(2 - x)^2 + (3 - 4x^3)^2]

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The student body of a large university consists of 65% female students. A random sample of 8 students is selected. What is the p
postnew [5]

Answer:

16.9%

Step-by-step explanation:

If at least 7 are female, that means either 7 or 8 are female.

Use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

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r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

Here, n = 8, p = 0.65, and r = 7 or 8.

P = ₈C₇ (0.65)⁷ (0.35)⁸⁻⁷ + ₈C₈ (0.65)⁸ (0.35)⁸⁻⁸

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3 years ago
Find the x-intercept of the following equation: 9x^2 + 2y=18
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Step-by-step explanation:

To get the x-intercept, set y = 0. Then solve for x:

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Therefore, the x-intercept is

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The equations of the graphed line and function can be written as:

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y - 3 = 1/2(x - 2)

y - 1 = 0.5(x + 2)

<h3>What is the Equation of a Graphed Line?</h3>

Equation of a graphed line can be expressed in:

Slope-intercept form as y = mx + b, where m = slope, b = y-intercept; or

Point-slope form as y - b = m(x - a), where (a, b) is a point and m = slope.

Find the slope (m) of the line:

Slope (m) = change in y / change in x = 1/2 = 0.5

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To express the graphed line in slope-intercept form, substitute m = 1/2 and b = 2 into f(x) = mx + b:

f(x) = 1/2x + 2.

Using the point-slope form, write the equation by substituting m = 1/2 and (a, b) = (2, 3) into y - b = m(x - a):

y - 3 = 1/2(x - 2)

Or substitute m = 0.5 and (a, b) = (-2, 1) into y - b = m(x - a):

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Learn more about the equation of a graphed line on:

brainly.com/question/11490660

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2 years ago
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I believe it has infinite solutions? Not sure

You can graph this via graphing calculator and see that the lines intersect almost infinitely.

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