Identify the domain of the equation y = x2 − 6x + 1.x ≤ 3

x ≥ −8

x ≥ −2

All real numbers

Answers

Answer 1
Answer: Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain...(I'm including the range..)

Domain:(-∞,∞),{x║x ∈ R}

Range:(-8,∞),{y║y≥-8}

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75 people to 25 people Find the percent of change. Round to the nearest tenth of a percent if necessary.

Answers

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Requiredpercentage value = a

total value = b

Percentage = a/b x 100

Percentagechange = [ Change in the amount / Initial amont ] x 100

The percent of change is 66.7%.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Requiredpercentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

The Initialnumber of people = 75

The finalnumber of people = 25

The change in the number of people = 75 - 25 = 50

The percentagechange.

= 50/75 x 100

= 2/3 x 100

= 66.7 %

Thus,

The percent of change is 66.7%.

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75-25=50

50/75=0.6666666...

0.6666666...x100=66.666...

=66.7%

If both figures have the same perimeter, what is the perimeter of each figure? ​

Answers

the perimeter of each figure is 58

Which two numbers should be placed in the blanks below so that the difference between consecutive numbers is the same? 19,_,_55

Answers

numbers is the same? 17,_,_,41 i think

The formula P = 2L + 2w represents the perimeter of a rectangle. In this formula,L is the length of the rectangle and w is the width. Solve the formula for L. Find
the length when the width is 4 meters and the perimeter is 36 meters.

Answers

The length of a rectangle is 14 meters when the width is 4 meters and the perimeter is 36 meters.

What is the perimeter of the rectangle?

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The perimeter of a rectangle = 2(L+W)

Where W is the width of the rectangle  and L is the length of the rectangle

We have been given that,

The formula P = 2L + 2W represents the perimeter of a rectangle.

To determine the length when the width is 4 meters and the perimeter is 36 meters.

The perimeter of a rectangle = 2(L+W)

Here W =  4 meters

⇒ 36 = 2L + 2(4)

⇒ 36 = 2L + 8

⇒ 2L = 28

⇒ L = 14

Therefore, the length of a rectangle is 14 meters.

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P=L+W
_36_ = ? + _4_
4 4
9 = L

Graph the line using intercepts: 4x-3y=12

Answers

First you have to find the intercepts!

To find the y-intercept (I usually do that first), pretend x=0.
Then it becomes:
4(0)-3y=12
Which then becomes:
-3y=12.
Divide both sides, and y = -4.
Then the (x,y) coordinate would become (0, -4).

Next you would find the x-intercept, and pretend y = 0.
Which then becomes:
4x-3(0)=12
3x0 cancels out to become:
4x = 12
And x = 3 because division stuffs.
Then THIS point would then be (3,0).

So then, you would plot (0,-4) and (3,0) on a graph and connect the points! I attached a picture for reference.

hope that helped~
Graph the intercepts by assigning the balue to y or x then after u assign u will graph it. Since it is a linear equation it might be easier so it may be a  line not a parabola

Solve allgebraically for x: log base 27 (2x-1)=4/3

Answers

log_(27)(2x-1)=(4)/(3);\ \ \ \ D:2x-1 > 0\to x > (1)/(2)\n\nlog_(27)(2x-1)=log_(27)27^(4)/(3)\iff 2x-1=27^(4)/(3)\n\n2x-1=\left(\sqrt[3]{27}\right)^4\n\n2x-1=3^4\n\n2x-1=81\ \ \ /+1\n\n2x=82\ \ \ \ /:2\n\nx=41\in D