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3 years ago

What is the slope of the line.

Mathematics

2 answers:

katrin2010 [14]3 years ago

8 0

Answer:

3/4

Step-by-step explanation:

Start from the y-intercept (-1). Find another point that is on the line. I am using the point (0, -1) and also (4, 2).

Next, use the slope form, rise over run. In this case, you can also use the formula (y² - y¹) / (x² - x¹).

Plug in the values, and you get 3/4. So, the slope is 3/4.

Also, you can count from one point of the line up and to the right in this problem to find the slope.

77julia77 [94]3 years ago

6 0

$y=\frac{3}{4} x-1\\$ is the slope

step by step explaination: the line starts at -1 so that is the y-intercept. then you look for points on the graph that the line crosses which happens to be

(4, 2) and that's it.

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One x-intercept of the graph of the of the cubic function f(x) = x^3 – 2x^2 – 111x – 108 is –9.

katrin2010 [14]

Answer:

The zeros of the given function are -9,-1 and 12.

Step-by-step explanation:

The given function is

$f(x)=x^3-2x^2-111x-108$

It is given that the x-intercept of the graph is -9, therefore -9 is a zero of the function.

Since -9 is the zero of the function, therefore (x+9) is a factor of f(x). Use synthetics method or long division method to divide the function by (x+9).

$f(x)=(x+9)(x^2-11x-12)=0$

$f(x)=(x+9)(x^2-12x+x-12)=0$

$f(x)=(x+9)(x(x-12)+(x-12))=0$

$f(x)=(x+9)(x-12)(x+1)=0$

Use zero product property and quote each factor equal to 0.

$x=-9,-1,12$

Therefore zeros of the given function are -9,-1 and 12.

3 0

3 years ago

At George Washington High School, the ratio of graduating seniors that go on to college compared to those who do not is 7 : 4. L

wolverine [178]

Hi, thank you for posting your question here at Brainly.

This problem can be solved easily by applying ratio and proportion. In this case, the ratio between those who go to college and those who do not is 7/4. Then, when there are 28 students, you can determine the number of which who don't go to college by using the 7/4 ratio value

7/4 = 28/x
x = 16

Thus, 16 students did not go on to college.

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3 years ago

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tia_tia [17]

Answer:

Step-by-step explanation:

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Georgia [21]

Answer:

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Step-by-step explanation:

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