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belka [17]
2 years ago
8

What is an equation in point-slope form of the line that passes through the point (4, -1) and has a slope of 6?

Mathematics
1 answer:
RSB [31]2 years ago
7 0

Answer:

slope(m)=change in y/change in x

6=y-(-1)/x-4

6=y+1/x-4

6(x-4)=y+1

6x-24=y+1

6x-24-1=y

6x-25=y

hence this is the equation

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Given f(x) = 4x + 2, find f-1(3).
Alexxandr [17]

Answer:

  1/4

Step-by-step explanation:

The inverse function tells you the input value that corresponds to the given output value of the function.

<h3>Application</h3>

You want f^-1(3), which is the value of x such that f(x) = 3.

  f(x) = 3 = 4x +2

  1 = 4x . . . . . . subtract 2

  1/4 = x . . . . . divide by 4

The inverse function of 3 is 1/4:

  \boxed{f^{-1}(3)=\dfrac{1}{4}}

4 0
2 years ago
The mean of a population being sampled is 64, and the standard deviation is 6. If the sample size is 50, the standard error of t
Serjik [45]
Given:
mean = 64
standard deviation = 6
sample size = 50

Standard error of the sample mean = standard deviation / √sample size

Standard error = 6 / √50 = 6/7.07 =<span> 0.85</span>
8 0
3 years ago
Read 2 more answers
Use the numbers 2,3,5 and 8 to write an expression that has a value of -1. You may use any operations, and you must use each of
MaRussiya [10]
(5 * 2) - (8 + 3) = 10 - 11 = -1
7 0
3 years ago
Read 2 more answers
A. Is the sum of two polynomials always a polynomial? Explain
IgorLugansk [536]

Answer:  The answers for both (a) and (b) is YES.


Step-by-step explanation: A polynomial is an algebraic expression containing   two or more algebraic terms, i.e., the sum of several terms that contain different powers of the same variable or variables with real coefficients.

For example, p(x) = 4x²+x+2 is a polynomial in variable 'x'.

(a) Yes, the sum of two polynomials is again a polynomial. For example,

if p(x) = ax² + bx + c  and  q(x) = dx² + ex + f, where, a, b, c, d, e and f are real numbers, then their sum will be

p(x) + q(x) = (a+d)x²+(b+e)x+(c+f), which is again a polynomial in 'x' with real coefficients.

(b) Yes, the difference of two polynomials is again a polynomial. For example,

p(x) - q(x) = (a-d)x²+(b-e)x+(c-f), which is again a polynomial in 'x' with real coefficients.

Thus, the answer is YES.

6 0
2 years ago
Which shows the equation below.....
sladkih [1.3K]
Option A is your answer. 

Subtract 3 from both sides to get zero on the right side of the equal sign. 

8 - 3 = 5. 

So that becomes your constant term in the equation. 
8 0
3 years ago
Read 2 more answers
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