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3 years ago

Find the slope of a line through the points (0,0) and (2, 9). Round your

Mathematics

1 answer:

den301095 [7]3 years ago

3 0

Answer:

Slope = 4.5

Step-by-step explanation:

We need to find the slope of a line through the points (0,0) and (2, 9).

We know that, the slope of a line is given by :

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have, x₁ = 0, x₂ = 2, y₁ = 0 and y₂ = 9

Put all the values,

$m=\dfrac{9-0}{2-0}\\\\m=4.5$

So, the slope of the line is 4.5.

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Question 4 Given: f(x) = -3x – 3 and g(x) = x2 + 5 Find (f - g) ().

Aleonysh [2.5K]

Answer:

We get $\mathbf{(f-g)(x)= -x^2-3x-8}$

Step-by-step explanation:

We are given:

$f(x) = -3x - 3\\ g(x) = x^2 + 5$

We need to find (f-g)(x) (assuming there is x in the bracket, i.e. (f - g) () should be (f-g)(x))

We would simply subtract f(x) and g(x)

$(f-g)(x)\\= -3x-3-(x^2+5)\\Multiply\:minus\:sign\:with\:terms\:inside\:the\:bracket\\=-3x-3-x^2-5\\Combining\:like\:terms:\\=-x^2-3x-3-5\\=-x^2-3x-8$

So, We get $\mathbf{(f-g)(x)= -x^2-3x-8}$

5 0

2 years ago

7 - (-11) = _ <br><br> Please help having trouble with answer

stepladder [879]

Use long addition to evaluate: the answer is 18

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3 years ago

In an agricultural class, there are 17 freshmen students and 19 sophomore students. What ratio compares the number of freshmen t

zheka24 [161]

Answer:

B. F:S = 17 to 19; S:F = 19 to 17

Step-by-step explanation:

Put the corresponding numbers in the corresponding parts of the ratio you want to write:

freshmen to sophomores (F:S)

17 to 19

___

sophomores to freshmen (S:F)

19 to 17

These pairs of numbers match choice B.

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3 years ago

Write the equation of the lines resented below in slope-intercept form

scoray [572]

Slope intercept form: y = mx + b

mx = slope

b = y-intercept

We know the y intercept is 0, so nothing will be written there.

To find the slope of this line, we can use the slope formula.

$\frac{y.2 - y.1}{x.2 - x.1} = m$

We'll use the points (1, 0) and (3, 1) to find the slope.

Now we can just plug these values into the equation to find the slope.

1 - 0 / 3 - 1

1 / 2

The slope of the line is 1/2, or 0.5.

The slope-intercept form of this line can be written as:

y = 0.5x

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3 years ago

Dani takes her two friends out for lunch. Dani's meal costs $5.72 and her friends' meals are $4.89 and $7.30. Dani pays for the

Solnce55 [7]

The answer is A. 2.09

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3 years ago

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