Graph the line that passes through the given point and has the given slope m. (3,10); m=-(5)/(2)

Answers

Answer 1

Answer:

Step-by-step explanation:

given a slope and a point that the line passes through you have 2 options

Option 1: Solve for the equation of the line so you can just use that to graph the line. In this scenario it would be y=(-5/2)x - (20/13)

Option 2: plot the given point and, based on the slope, plot the next point that it crosses. In this case the next point would be (5, 7). Then you can just draw a line using these 2 points.

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Find the zeros of each function.
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Please help i will make brainliest

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It is answer b!!! hope this helps

For the function y=ln(x-1)+2 which of the following statements is truea. the domain is all real numbers and the range is [2, infinity)
b. the domain is (-1, infintity} and the range is all real numbers
c. the domain is (1, infinity) and the range is [2, infinity)
d. the domain is (1, infinity) and the range is all real numbers

Answers

For the function $y = ln(x-1) + 2$ , statement d is true. The domain is (1, ∞) and the range is all real numbers.

A function is an expression or a rule establishing a relationship between two sets or two variables, where one is independent and another is dependent.

The set of values you input into the data as the independent variable is called the domain of the function.

The set of possible outputs of the function, the dependent variable, is called the codomain of the function.

The set of elements part of the dependent variable that actually comes out of the function as output is called the range of the function.

Given function, $y = ln(x-1) + 2$

The domain of the function is what you can put into x.

for ln(x-1) to be defined, x-1 > 0 implies that x > 1

Thus the domain of function becomes (1, ∞).

The range of the function is what you get as y.

if 1 < x < 2, 0 < x-1 < 1, ln(x-1) < 0, thus $y = ln(x-1) + 2$ will have a value y < 2, maybe even negative.

if x = 2, x-1 = 1, ln(x-1) = ln(1) = 0, making y = 2

if x > 2, x-1 > 3, ln(x-1) > 0, making y >2.

Thus the range of function becomes (-∞, ∞).

Learn more about function here

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Answer:

d. the domain is (1, infinity) and the range is all real numbers

Step-by-step explanation:

The domain of a logarithmic function

$f(x)=\ln(x)$

is the set of all positive numbers

$D:\ x>0\Rightarrow x\in\mathbb{R}^+$

The range of a logarithmic function

$f(x)=\ln(x)$

is the set of all real numbers

$R:\ y\in\mathbb{R}$

We have:

$y=\ln(x-1)+2$

DOMAIN

$x-1>0$ add 1 to both sides

$x-1+1>0+1\n\nx>1$

$D:x>0\Rightarrow x\in(1,\ \infty)$

RANGE

$f(x)=\ln(x)\to f(x)+2=\ln(x)+2$

The graph shifted 2 units up. The range no change.

$R:\ y\in\mathbb{R}$

A basket of fruit contains 4 bananas, 3 apples, and 5 oranges. You intend to draw a piece of fruit from the basket, keep it, and then draw a 2nd piece of fruit from the basket. What is the probability of selecting two oranges in a row from the basket if you are blindfolded?

Answers

Answer: 5/33

Step-by-step explanation: There are 12 fruits and 5 are oranges.

If you draw an orange, then there are 11 fruits and 4 oranges. (5/12)x(4/11)=20/132 or 5/33 in simplest form.

Christine is fertilizing her garden. the garden is in the shape of a rectangle. its length is 12 ft and it's width is 10 feet. suppose each bag of fertilizer covers 30 square feet. how many bags will she need to cover the garden?

Answers

Answer:

Step-by-step explanation:

First we need to find the total area of the garden so we can see how many bags she will need. The area of a rectangle is its length multiplied by its width, so the area of her garden is 12 (the length) x 10 (the width). 12 x 10 = 120 square feet. If each bag covers 30 square feet, then she will need 120/30 = 4.

4 bags of fertilizer to cover the 120 square feet of the garden area.

Hope this helped!

A researcher wants to determine if birthweights of children born to U.S. mothers is affected in any way when large megadoses of caffeine are consumed routinely by the mother during pregnancy. It is known that the birthweights are normally distributed with mean 7.5 pounds and standard deviation 1 pound. When drawing a sample of size 40 from such a population, and computing the mean birthweight in the sample, use the Central Limit Theorem to find the 2.5-th percentile of the distribution of sample means.

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Answer:

7.19

Step-by-step explanation:

Factor the difference of cubes. Select prime if the polynomial cannot be factored

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Answer:

(m-(1/3))(m^2+(1/3)m+(1/9)

Step-by-step explanation:

Just use the difference of cubes

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