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3 years ago

Which expression is in simplified form for the given expression and states the correct variable restriction?

1 answer:

5 0

(u^2 - 4) / (u-6)(u-2)

Resriction u ≠ 6 and u ≠ 2 (because the denominator cannot be equal lto zero)

Simplification

u^2 - 4 is a difference of two squares, then you can factor it as the product of (u+2)(u-2). So, you can write the expression as:

(u+2)(u-2) / (u-2)(u-6)

Simplify u -2 (because it appears in the numerator and the denominator)

(u + 2) / (u -6), with u ≠2 and u≠6

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Help please ;-; The values in the table represent a linear function.

Fittoniya [83]

Answer:

The function rule in slope-intercept form is:

$y = \frac{1}{2}x-\frac{7}{2}$

Step-by-step explanation:

The slope-intercept form of a function is given as:

$y = mx+b$

Here

m is the rate of change of function and b is the y-intercept

The rate of change is calculated as:

$m = \frac{difference\ in\ y}{difference\ in\ x}$

For this, any two pairs of input and output can be taken.

So using the pairs (1,-3) and (2,-1)

$m=\frac{2-1}{-1+3}\\=\frac{1}{2}$

Putting the value of slope in slope-intercept form

$y = \frac{1}{2}x+b$

Putting (1,-3) in the equation

$-3 = \frac{1}{2}(1)+b\\-3 = \frac{1}{2}+b\\b = -3-\frac{1}{2}\\b = \frac{-6-1}{2}\\b= \frac{-7}{2}$

Putting the value of b

$y = \frac{1}{2}x-\frac{7}{2}$

Hence,

The function rule in slope-intercept form is:

$y = \frac{1}{2}x-\frac{7}{2}$

4 0

3 years ago

Matt has a block. He uses one of the flat surfaces of the block to trace a triangle. What type of solid figure is Matt's block?

Katen [24]

Triangular prism OR Pyramid

6 0

3 years ago

Read 2 more answers

Jeffrey's brother max is 5 years older than twice Jeffrey's age. Write an expression that represents the relationship of Max's a

Illusion [34]

Jeffrey = J
Max = M

M = 2j + 5

4 0

3 years ago

What’s is sherry error?

beks73 [17]

Answer:

the answer is B.

Step-by-step explanation:

It makes the problem solve smoother.

3 0

3 years ago

what do the following two equations represent? please help 4x+2y= 10 4x-2y= -10 a) the same line b) distance parallel lines c) p

Lady bird [3.3K]

Answer:

Step-by-step explanation:

The equations are

● 4x + 2y = 10 (1)

● 4x - 2y = -10 (2)

● 4x + 2y = 10

Add - 4x to both sides

● 4x + 2y -4x = 10 -4x

● 2y = 10 -4x

Divide both sides by 2

● 2y/2 = (10 - 4x)/2

● y = 5 - 2x

● y = -2x + 5 (1)

● 4x - 2y = -10

Add -4x to both sides

● 4x -2y -4x = -10 - 4x

● -2y = -10 - 4x

Divide both sides by -2

● -2y/-2 = (-10 -4x)/-2

● y = 10 + 2x

● y = 2x + 5 (2)

So the equation are

● y = 2x + 5

● y = -2x + 5

Graph them

The lines intersect at (0,5) but aren't perpendicular

So the answer is d

8 0

3 years ago