Find the domain and range of each relation (use interval notation). Then determine if each relation is one-to-one.

Answer:

z=12/9 or 4/3 or 1 1/3

Step-by-step explanation:

1/3 needs to have a denominator of 9 so 3/9 because 3x3=9 and you have to multiply the numerator by 3 also

z-4/9-3/9=5/9

add -4/9 and -3/9 because you add two negative numbers

new equation

z-7/9=5/9

add 7/9 to 5/9

z=12/9 or 4/3 or 1 1/3

Steps to solve:

-2x = 38

~Divide -2 to both sides

x = -19

Since this equation is solvable, it is a literal equation

Best of Luck!

Step-by-step explanation:

2 * 6 - 15 / 3 * 8

= 12 - 5 * 8

= 12 - 40

= -26.

8x + 20 = 36

8x = 16

x = 2.

Answer:

C

Step-by-step explanation:

(xy^3z^4)^4 =

(x)^4 = x^4

(y^3)^4 = y^12

(z^4)^4 = z^16

Therefore the answer is C. x^4 y^12 z^16

Answer:

Lines

Step-by-step explanation:

In both linear and vertical pairs share at least one line.

Hope This Helps :)

All linear pairs and vertical pairs share the same supplementary angle.

Linear pairs and vertical pairs are both types of angle pairs formed by intersecting lines or by the intersection of a line and a transversal.

1. Linear Pairs: A linear pair consists of two adjacent angles formed by two intersecting lines. The two angles in a linear pair are always supplementary, meaning their measures add up to 180 degrees. In other words, if one angle in a linear pair measures x degrees, then the other angle will measure (180 - x) degrees.

2. Vertical Pairs: Vertical angles are formed by the intersection of two lines. They are opposite angles that share a common vertex but are formed by different pairs of intersecting lines. Vertical angles are congruent, meaning they have the same measure. If one vertical angle measures x degrees, then the other vertical angle formed by the same pair of intersecting lines will also measure x degrees.

Therefore, both linear pairs and vertical pairs share the same property of having angles with equal measures. In the case of linear pairs, the angles are supplementary (their measures add up to 180 degrees), while in vertical pairs, the angles are congruent (they have the same measure).

To know more about linear pairs, refer here:

https://brainly.com/question/34190098

#SPJ2

g  = x - c + y

First, let's add c to both sides.

g + c = x + y

Now, let's subtract y from both sides.

g + c - y = x

Answer:

[tex]R = 9.63\ units[/tex]

Step-by-step explanation:

Given

[tex]AB = BC = 17[/tex]

[tex]AC = 16[/tex]

Required

Determine the circumradius, R

The circumradius is calculated as follows;

[tex]R = \frac{AB * BC * AC}{\sqrt{(AB + BC + AC)(AB + BC - AC)(AB + AC - BC)(AC + BC - AB)}}[/tex]

Substitute the values of AB, BC and AC

[tex]R = \frac{17 * 17 * 16}{\sqrt{(17 + 17 + 16)(17 + 17 - 16)(17 + 16 - 17)(16 + 17 - 17)}}[/tex]

Evaluate the denominator

[tex]R = \frac{17 * 17 * 16}{\sqrt{(50)(18)(16)(16)}}[/tex]

[tex]R = \frac{4624}{\sqrt{230400}}[/tex]

Take square root of 230400

[tex]R = \frac{4624}{480}[/tex]

[tex]R = 9.63\ units[/tex] (Approximated)

Hence, the circumradius is 9.63

Answer:

289/30

Step-by-step explanation:

Let the circumcenter be point O. We start by drawing line median BM. Since AB = BC, median BM is perpendicular to side AC.

Therefore, BM is part of the perpendicular bisector of AC and thus, must pass through point O.

We have AM = 8, so the Pythagorean Theorem applied to triangle ABM gives us BM = 15.

Let OA = x, our circumradius. Since O is equidistant from A and B, we have OB = x as well.

Therefore,

OM = BM - BO = 15 - x.

From right triangle OAM, we have (OA)^2 = (OM)^2 + (AM)^2.

Solving for x, we have 30x = 225 + 64.

So, x = 289/30.

Answer:

7000

Step-by-step explanation:

21000/0.667

=14000

21000-14000

=7000

Answer:

nope

Step-by-step explanation:

Answer:

exponential functions.

Step-by-step explanation:

Answer:

the answer is "dilation by a scale factor of 2 and a rotation of 90° counter clock wise about the origin"

Answer:

Step-by-step explanation:

g(x)= x - 3

f(x - 3) = (x - 3)^2 = x^2 - 6x + 9

===================================================

Explanation:

It is a function because it passes the vertical line test. We cannot draw a single vertical line through more than one point on the red curve. Any x input leads to exactly one and only one y output.

A similar test is the horizontal line test. We cannot draw a single horizontal line through more than one point on the red curve, so this red curve passes the horizontal line test. Each y is only paired with one x value only. This helps set up an inverse function.

-----------

In short:

If the curve passes the vertical line test, then we have a function

If the curve passes the horizontal line test, then it is one-to-one.

Answer:

67

Step-by-step explanation:

15 x 10 = 150

150 x 6 = 900

15 x 7 = 105

900 + 105 = 1005

closest to 1000 without decimals

with decimals 66.6666666667

Please mark brainliest

$1000 ÷ 15 = 66.67 ~ 67 tickets

Answer:

16/5

Step-by-step explanation:

1600 diviudes by 100=16

Multiply total People by percentage:

400 x 0.05 = 20

There are 20 managers

Answer:

The square root of 133 is 11.53. The closest to this number would be point D.

Answer:

C. 20% decrease

Step-by-step explanation:

[tex]Saturday = 50\\Sunday =40\\\\50-40 =10\\\\\frac{10}{50} \times \frac{100}{1} \\= \frac{1000}{50} \\\\Cross \:cancel common \:factor; 50\\\\= 20[/tex]

Answer:

He can build 20 houses. He will have 5 left over.

Step-by-step explanation:

8 x 20 = 160

165 (total blocks) - 160 (highest possibility) = 5 (not enough to build a house, which is why they are left over)

Answer  x= - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:  -12x + 12 = 18 move constant to the right hand side and change its sign ( its + 12 :0)

-12x = 18- 12 caculate 18-12

-12x = 6

then divide both sides then you will get -1/2

Answer:

4/5

Step-by-step explanation:

=>0.8

=>8/10

=>4/5

the answer  for your question is y=−2

Answer:

√37

Step-by-step explanation:

An irrational number is a number that never terminates nor repeats.

Let's go through each of the answer choices.

1) √100 is just 10. This is not irrational.

2) √81 is just 9. This is again not irrational.

3) √64 is 8. Not irrational.

4) √49 is 7. Again, not irrational.

5) √37 is 6.08276253... This number will never end and it doesn't repeat. Therefore, √37 is irrational.

And this is our answer.

And we're done!

Answer:

18/28

Step-by-step explanation:

Answer:

Angle 1 is 147 degrees

Step-by-step explanation:

When two angles form a linear pair, then we have the intersection of two lines

So what this mean is that both angles lie on a straight line and the sum of both angles is 180.

Let the angle 2 be x

We are told that angle 1 is 18 degrees less than 5 times the measure of angle 2;

What we are saying here is that; angle 1 = 5x - 18

So let’s add both together to give 180

angle 1 + angle 2 = 180

x + 5x -18 = 180

6x = 180+ 18

6x = 198

x = 198/6

x = 33 degrees

But angle 1 is 5x -18 = 5(33) -18 = 165 -18 = 147 degrees

Answer:

$5304

Step-by-step explanation:

One load of soil is 12 tons.

Multiply 34 with 12: 34 x 12 = 408 tonnes in all.

Next, multiply the cost per tonne with the amount of tonnes:

408 x 13 = 5304

$5304 is the total cost.

~

Answer:

16

Step-by-step explanation: