State the Domain & the Range.
g(x) = |x – 1| + 2
Domain:
Range:

Answer:

18 and 21

Step-by-step explanation:

Let the smaller number = 3x

Let the larger number =  3x + 3

The three and the plus 3 insure that the numbers are multiples of 3 and are consecutive.

3* (3x + 3) = 7/10 * 5 (3x)       Multiply both sides by 10

30*(3x + 3) = 7 * 5 * 3x          Remove the brackets

90x + 90 = 7 * 5 * 3x             Combine the right

90x + 90 = 105x                    Subtract 90x from both sides.

-90x             -90x

           90 = 15x                     Divide by 15

x = 90/15

x = 6

Let's see if it works.

3*(3x + 3) = 3*(18 + 3) = 3 * 21 = 63

7/10 * 5 *3x = 7/10 * 5 * 3*6 = 630 / 10 = 63

Answer:

see explanation

Step-by-step explanation:

under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) , then

C (1, 9 ) → C' (- 9, 1 )

D (4, 9 ) → D' (- 9, 4 )

E (0, 3 ) → E' (- 3, 0 )

Answer:

rate of change = 5

Step-by-step explanation:

the slope m gives the measure of the rate of change of the function

calculate the slope m using the slope formula

m = [tex]\frac{y_{2-y_{1} } }{x_{2-x_{1} } }[/tex]

with (x₁, y₁ ) = (3, 38) and (x₂, y₂ ) = (1, 18) ← 2 ordered pairs from the table

m = [tex]\frac{18-38}{1-3}[/tex] = [tex]\frac{-20}{-2}[/tex] = 5

then rate of change = 5

The cost of soda as calculated from the data given is found to be as 0.9 cents.

the price of 1 burger = x

the price of 1 soda =y

Therefore, the equation for Uri and Gen becomes,

2x + y = $2.10

x+ 2y = $2.40

On solving these two equations we will get the value of x and y which represents their cost.

on multiplying equation 2 with 2 , we will get ,

2x + 4y = 4.80

Therefore , on subtracting equation 1 and 2 ,

 2x + y = $2.10

- 2x + 4y = 4.80

=> -3y = - 2.7

=> y = 0.9

Therefore x will be ,

x+ 2y = $2.40

x+ 2(0.9) = $2.40

x + 1.8 = $2.40

x = 2.40 - 1.8

  = 0.60

Therefore, cost of soda is 0.9 cents.

To learn more about equations

brainly.com/question/29657983

#SPJ4

Answer: C

Step-by-step explanation:

You would work backwards. So it would be 1:00-2 hours so the answer would be 11:00 A.M

Answer:

14km

Step-by-step explanation:

Answer:

One possible equation is  2m+16 = 40

There are other possible equations to set up as well.

That equation solves to m = 12 which means both plans cost the same when you go 12 MB over the limit (using 27 MB total).

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

Explanation:

The unlimited plan costs $40 a month no matter how much data you use.

The second plan costs $16 a month, and there are no extra fees as long as you don't go over the limit of 15 MB. If you do exceed this limit, then you're charged an extra $2 per MB. That means an extra 2m dollars is tacked onto the 16 mentioned earlier,  where m is the amount of MB you've gone over the limit. Overall, the expression 2m+16 represents the cost of the second plan. If you don't go over the limit, then you'll use m = 0 for the second plan.

Set that expression equal to 40 to set up the equation. Solving the equation leads to...

2m+16 = 40

2m = 40-16

2m = 24

m = 24/2

m = 12

If you exceed the limit by 12 MB, then both plans cost the same at $40 per month.

Note: Going 12 MB over the limit means you've used 15+12 = 27 MB.

Using the provided values and information, The answer is each person would receive 1/5 of the original bread loaf.

A proportion is a mathematical statement that compares two ratios. It is an equation that states that two ratios are equal, such as "a/b = c/d." Proportions are often used to solve problems involving fractions, decimals, and percentages. For example, if you know that a particular recipe calls for two cups of flour for every one cup of sugar, you can use this proportion (2/1 = x/3) to figure out how much sugar you need if you want to triple the recipe. The proportion can also be written as 2:1 = x:3.

A ratio is a mathematical comparison of two or more quantities, typically represented as a fraction. It is a way to compare the size of two or more things. For example, if a recipe calls for 2 cups of flour to 1 cup of sugar, the ratio of flour to sugar is 2:1. This means that for every 2 units of flour, there is 1 unit of sugar. Ratios can also be written using the colon symbol (:) or the word "to". For example, the ratio 2:1 can also be written as 2/1 or 2 to 1. Ratios can be simplified by dividing both the numerator and denominator by a common factor and can be used to compare quantities in different units.

Each person would get 1/5 of the original bread loaf. If the bread is divided equally among four people, then each person would receive 1/4 of the total amount. Since 1/5 is the same as 4/20, and 4 people are receiving the bread, then each person would receive 1/5 of the original bread loaf.

To learn more about proportions visit:

https://brainly.com/question/29126329

#SPJ4

Answer:

Step-by-step explanation:

The mean of 4 5 6 7 8

there are 5 numbers in sequence, you can solve at a glance by looking at the number in the middle, or add the numbers and divide them by their number, in any case the answer will be 6

4 5 6 7 8    (6 is central)

or

(4 + 5 + 6 + 7 + 8) : 5 =

30 : 5 =

6

The degree of the polynomial as calculated from the given data7x³ + 5x + 4x⁵ + 2x² is 5 .

The given polynomial is  7x³ + 5x + 4x⁵ + 2x²

To find the degree of the polynomial we will write the equation down in the descending power of x

which is ,

4x⁵ + 7x³ + 2x² + 5x

Here , the highest power of the variable that appears with nonzero coefficient is 5.

So ,degree of the polynomial is said to be 5.

The hightest power of the variable in a polynomial is known as the degree of the polynomial. A polynomial expression is made up of constants and variables.

To learn more about polynomials

brainly.com/question/29251817

#SPJ4

The six-foot long ladder is 3√5 feet high up the wall having 3 feet distance from bottom of the ladder.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. In this case, the ladder is the hypotenuse, and the wall and the ground make up the other two sides.

The ladder is 6 feet long, and the bottom of the ladder is 3 feet away from the wall, so the triangle is a 3-4-5 right triangle, which means the wall is 3 feet high.

So, if we square the length of the ladder (6^2 = 36)

The length of the base (3^2 = 9),

and add them together, then take the square root of that, we get the height of the wall.

sqrt(36+9) = sqrt(45) = 3*sqrt(5)

so the ladder is 3√5 feet high up the wall.

To learn more about Pythagorean theorem refer :

https://brainly.com/question/343682

#SPJ4

Answer:

$1779.896

Step-by-step explanation:

From the above question

1 liter = $143.54

12.4 liters = $x

Cross Multiple

1 liter × $x = 12.4 liters × $143.54

$x = 12.4 liters × $143.54/1 liter

$x = $1779.896

Therefore, the total cost for Stacy gas in dollars and cents is $1779.896

Answer:

Simplified = 1.7×109

1.7×109 = 185.3

Answer:

X of M is 6, Y of M is 4, Pair is (6,4)

Step-by-step explanation:

M = 6

M = 4

M (6,4)

Answer:

11 = x

Step-by-step explanation:

The length of the shortest piece is 5, and the longest piece is 13 feet by solving the equations.

The length of the shortest piece is 5, and the longest piece is 13 feet.

the solution is as follows,

Greg has a piece of rope that is 18 ft long.

He wants to cut it into two pieces so that the longer piece is 2 ft less than three times the length of the.

Let the length of the shorter piece be x.

And the length of the longer piece is 3x -2.

Greg has a piece of rope that is 18 ft long.

Then,

longest piece+ shorter piece = 18

x + 3x -2 = 18

4x - 2 =18

4x = 18+2

4x = 20

x= 20/4

x = 5.

Therefore,

The length of the shorter piece is x =5.

And the length of the longer piece = 3x -2 = 3(5)-2 = 15-2 = 13

Hence, the length of the shortest piece is 5, and the longest piece is 13 feet.

Learn more about equations here :-

https://brainly.com/question/10413253

#SPJ4

Answer:

rreflextion across x the reflection across y

Side D and B are both congruent

Step-by-step explanation:

Answer:

24d^5

Step-by-step explanation:

When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another. For instance, the ratios 1:2 and 2:4 are equivalent.

Equivalent ratios are two ratios with the same value. By multiplying or dividing the two amounts by the same number, you can determine the equivalent ratio. Finding equivalent fractions follows the same procedure.

The ratio formula can be used to represent a ratio as a fraction. The ratio formula is given as a:b = a/b for any two quantities, let's say a and b.

To know more about ratios visit:-

brainly.com/question/13419413

#SPJ1

Answer:

Third one

−10×3−4

Step-by-step explanation:

-30-4

-34

Answer:

-10 · 3 - 4

Step-by-step explanation:

20 - (-3) + 51 ÷ (-3) = 20 + 3 + 51 ÷ (-3) = 20 + 3 - 17 = 6 no

-2 - (-8) + 7 + (-11) = -2 + 8 + 7 - 11 = 2 no

-10 · 3 - 4 = -30 - 4 = -34 yes!

-4 · (-3) + 22 = 12 + 22 = 34 no

Answer:

12 possible outcomes

Step-by-step explanation:

The equation to find the possible outcomes is:

possible outcomes  x  total

We know she picks 1, so we have

1 x 12 = 12 possible outcomes

So, there are 12 possible outcomes

Yes, if the value of y = 0 then it makes the horizontal line.

The term horizontal line is defined as one that goes from left to right.

And here we also know that they are parallel to the x –axis in the coordinate plane.

And the horizontal line has a slope of zero.

While we looking into the move along the right of the line, then it does not rise or fall at all.

Here we have to the that the following factors are also included in feature:

In as the horizontal line is parallel to the x-axis and it is parallel to the horizon.

Where as the horizontal line is a sleeping line and it is also defined as can be a sleeping, standing, or a slanting line.

Where the horizontal line is perpendicular to the y-axis.

To know more about Horizontal line here.

https://brainly.com/question/10863938

#SPJ4

Answer:

6 Students stayed in class

30 Students in Total

Step-by-step explanation:

Since there are 8/10 people on the trip, you divide the numerator(8) by 24

24 divided by 8 is 3. Also 3 x 8 is 24 so its proper

3 x 2 is 6 and 6 + 24 is 30

30 is 10/10 in this question so 6 is the answer for those who stayed in class and there is 30 in total

Answer:

x ≥ 2

Step-by-step explanation:

the solid circle at 2 indicates that x can equal 2

the arrow points to the right indicating values of x greater than 2 , then the inequality being represented by the number line is

x ≥ 2

Answer:

answer: 1/64 of 1.6%

Step-by-step explanation:

The answer is this because the probability of the spinner landing on green is 2/8 now that multiplied by itself 3 times equals 1/64 so 1/64 is the probability hope that helps!

Answer:

the answer is n ≥ -49

here are the steps for solving-

the problem Is like  n/7+3 ≥ -4

1. First subtract 3 from both sides. After doing that, the inequation should be Like This:

n/7 ≥ -7

2. since 7 is in Division form, when it goes to RHS, You multiply.

So -7 times 7 Is -49

so the answer is n≥ -49

Answer:

17

Step-by-step explanation:

8²+15²=289

√289=17

Remember,  Pythagorean theorem