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madreJ [45]
3 years ago
7

Write an equation in point-slope form and slope-intercept form for

Mathematics
1 answer:
Alex787 [66]3 years ago
4 0

Answer: y=2x-1

Step-by-step explanation:

Equation of a line that passes through (a,b) and have slope m is given by :-

(y-b)=m(x-a)   [point slope form]

Given, Point = (4,7)  , m= 2

Equation in point slope form :   (y-7)=2(x-4)

To write in slope intercept form (y=mx+c) , we need to simplify it

y-7= 2x-8\\\\\Rightarrow\ y-2x=-8+7\\\\\Rightarrow\ y-2x=-1\\\\\Rightarrow\ y=2x-1

Hence,  y=2x-1

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6 0
2 years ago
ANSWER FOR BRAINLIEST!!!
Maru [420]

If you know that -2 is a zero of f(x) = x^3 + 7x^2 + 4x - 12, explain how to solve the equation.

First you have to figure out what could make f(x) = 0 to get rid of the cube. I'm going to test the array of data, x = -2, x = -3, and x = -4 because this type of equation probably has more negative values given that if you plug in some values the cubed-values and squared-values will surpass the "-12". Plug this into a calculator.
x^3 + 7x^2 + 4x - 12
f(-2) = -8 + 28 - 8 - 12 = 0

So you know that when x = -2, f(x) = 0. Divide "(x + 2)" from the equation and you will get... x^2 + 5x - 6. Now this is a simple polynomial one that you can figure to be (x + 6) (x - 1) just by looking at it because -6 multiplied by 1 is negative 6 and you see 5 and know that 6 - 1 = 5.

The solution is (x + 6) (x - 1) (x + 2) meaning that when x = -6, 1, or -2, f(x) is 0.

4 0
2 years ago
Differentiate f and find the domain of f. (enter the domain in interval notation.)f(x) = ln(x2 − 12x)derivative f '(x) = 2x−12x2
guajiro [1.7K]
F(x) = ln(x² - 12x)
The derivative is
f'(x)= \frac{2x-12}{x^{2}-12x}

f(x) is undefined when x² - 12x = x(x - 12) = 0
That is, when x = 0 or x = 12.
Therefore the domain is (-∞, 0)∪(0,12)∪(12, ∞)

Answer:
The derivative is
f'(x) =  \frac{2x-12}{x^{2}-12x}
The domain is
(-∞, 0)∪(0, 12)∪(12,∞)



3 0
3 years ago
Add 212+(−13) . Write your answer as a mixed number in simplest form.
nordsb [41]

The value of the given expression after addition is 199 and this can not written as a mixed number in the simplest form.

According to the question,

We have the following expression:

212+(-13)

Now, we know that the multiplication of one negative and one positive integers is always positive.

So, we have the following expression:

212-13

199

Now, this number is whole number and it can not be written as a mixed number. It could only have been written as a mixed number when the result would have been in a fraction.

Hence, the value of the given expression after addition is 199 and this can not written as a mixed number in the simplest form.

To know more about addition here

brainly.com/question/19867930

#SPJ1

7 0
8 months ago
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