What is the domain and range for function A?

Answer:

1. We want to write an equation in the form:

Ix - bI ≤ c

Such that the solutions are the range  −1 ≤ x ≤ 3

First, the extremes of the range are: - 1 and 3

Half of the difference between these values is:

m = (3 - (-1))/2 = (3 + 1)/2 = 4/2 = 2

Now let's go to the lower extreme, and add this value, we get:

-1 + m = -1 + 2 = 1

(if we go to the upper value and we subtract m, we get the same)

This is the mid-value of the solution interval, and we will define it as M

We now can write the absolute value inequality as:

I x - MI ≤ m

In our case, we get:

Ix - 1I ≤ 2

2.

Now we want to have the solution set given by:

x ≤ -9

x ≥ -5

In this case, we will have an equation of the form:

Ix - MI ≥ m

(before we used the symbol ≤, which means that the solutions are inside the interval, now we use the symbol ≥, which means that the solutions are outside of the interval (-9, -5) in this case).

So let's do the same than in the above case:

m = (-5) - (-9) = (-5 + 9)/2 = 4/2 = 2

M = -9 + 2 = -7

Replacing these in the absolute value inequality we got:

Ix - (-7)I ≥ 2

Ix + 7I ≥ 2

Answer:

Step-by-step explanation:

Lets take 4905 and 802

Firstly to figure out which of these two numbers is bigger we first look at the highest place value that either one of these two numbers have

In this case its 4 in the thousands place in the number 4905

Next we look at which number 802 has in the thousands place

In this case there is no number or 0

4 is bigger than 0 so we know that 4905 is bigger than 802

Lets take another example

4905 and 8204

Here both numbers have a number in the thousands place on is 8 and the other is 4

8 is bigger than 4 so 8204 must be larger

I'm just saying comparing integers should come very easily and you really don't need to think much to figure this out

I'm guessing you mean how do you compare numbers which are non-integers like 4/6 or  4/5  and this is quite easy

There are multiple ways but one method is to just multiply the denominator of one fraction with the numerator of the other and do the same for the other fraction

lets take 4/6 and 4/5

4*5=20

and 4*6= 24

4/6 we can assign 20

and 4/5 is 24

the bigger number is 24 so 4/5 is bigger

Answer:

d) 33.1 miles per gallon

Step-by-step explanation:

Mean = sum/ number

Mean= (48+25+35+34+33+37+32+34+23+30)/10 = 33.1

Answer:

52 cm²

Step-by-step explanation:

8×5=40

3×8=24

24÷2=12

40+12=52

52 cm² or 52 sq cm

Answer:

0 and 4

Step-by-step explanation:

Answer:

12 feet or 8 feet

Step-by-step explanation:

id

Answer:

so the h=16

Step-by-step explanation:

so how it works is by writing it as a fraction so we know that 4/6=h/24 and are we able to go from 6 to 24, we multiply it by 4, so just multiply it, sometimes you have to divide

Answer:

270 cubic inches

Step-by-step explanation:

Given :

Mass of the clay brick = 5.4 pounds

Density = 0.02 pounds per cubic inch

Length of the brick = 4 inch

Width = [tex]$2\frac{1}{4}$[/tex] inch

We know, density = mass / volume

Or Volume = mass / density

                  = 5.4 / 0.02

                 = 270 cubic inches

Therefore, the volume of the brick is 270 cubic inches.

Answer: x = 1.6

Step-by-step explanation:

Start by Identifying what you need to keep, in this case that would be X. In order to solve for x, you would need to get rid of any co-efficients. (example: +1.1) To get rid of them, you have to do the opposite action of what it's doing to the equation. (subtraction)

1.1- (-2.1) = 3.2 (if you subtract a negative, it turns positive/ you add) leaving you with x/2 = 3.2.

Now that we have our coefficient out the way, we have to get rid of the division so we can only solve for x. We do that by dividing the remainder of the equation by 2

3.2/2 = 1.6

Leaving us with the answer, x = 1.6

Answer:

∠ADE = 59°

Step-by-step explanation:

4x + 15° + 13x + 7° = 90°

combine like terms:

17x + 22° = 90°

subtract 22° from both sides of the equation:

17x = 68°

divide both sides by 17:

x = 4

∠ADE = ∠CBD = 13(4) + 7 = 59°

Answer:

Step-by-step explanation:

m∠ADE is the same as m∠BCE, so

m∠ADE = (13x+7)°

In rectangle all angles are 90°, so:

4x + 15 + 13x + 7 = 90

17x + 22 = 90

17x = 90 - 22

17x = 68

 x  = 68÷17 = 4

Therefore:

           m∠ADE = (13×4+7)° = 59°

Answer:

b) x=1

Step-by-step explanation:

Since, graph is intersecting x-axis at (1, 0)

Therefore the equation of the graph is x = 1

Answer:

12 cubic centimeter blocks are in the bottom layer

Answer:

It means that 20 times x is 5

also the answer to that problem (20x=5) is 1/4

Step-by-step explanation:

20x means

20 * x

and since 20 * x = 5

divide 5 and 20

5/20 = 1/4

Answer: 56 deg

Step-by-step explanation:

66-x=x+46

2x=20

x=10

Answer:

It is the fourth graph the line that is short and goes off the page

Step-by-step explanation:

9514 1404 393

Answer:

  y = 170 -3x

Step-by-step explanation:

The marked angles are called "same-side interior angles", or "consecutive interior angles" because they are between the parallel lines and on the same side of the transversal. Such angles are supplementary.

  y + (3x +10) = 180

  y = 180 -(3x +10) . . . . . subtract everything on the left that is not y

  y = 170 -3x . . . . . . . . .  simplify

Answer:

6

Step-by-step explanation:

i took the test and got it right

Answer:

72

Step-by-step explanation:

Well to make life easier just simplify the fraction

80/100 could be simplified to 4/5

4/5*90 is 72

Answer:

72

Step-by-step explanation:

Answer:

$24 is her allowance. 1/3 of her allowance is $8. So you would multiply 8 times 3 because 8 is just 1/3 of her allowance and you want to find her total weekly allowance. 8 x 3 = 24

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

The average rabbit is about 18 inches or 1.5 feet in length so once you find out how many square feet are in the pen then you divide that number which is 168 by 1.5 to get 112

Answer:

55 units²

Step-by-step explanation:

square = 25

triangle = 30

both = 55

Answer:

113°

Step-by-step explanation:

Measure of central angle is equal to the measure of its corresponding arc.

Here, x is the measure of the central angle and 113° is the measure of its corresponding arc.

Therefore, x = 113°

Answer:

States sent representatives to Congress and provided soldiers and some officers to protect the country.

Answer:

Choice C) area = 15.75 ft²

Step-by-step explanation:

area = 3.5 x 4.5 = 15.75 ft²

Answer:

A) Translation

B) Reflection

C) Rotation

Step-by-step explanation:

The transformation types in mathematics are;

Reflection, translation, rotation and dilation.

We can see that the squares are all the same size, it's just the position of the stars that will aid us in knowing the specific transformation.

A) We can see that square 2 is the exact same thing as square 1. Just that it was shifted to the right of square 1. Thus, it was translated and the transformation is translation.

B) We can see that the star in square 3 is the exact mirror copy and location from square 2. Thus, this is a reflection.

C) We can see that the position of the star in square 5 is top while that in square 1 is at the left corner. This can only be achieved by rotation.

Answer:

.23

Step-by-step explanation:

Answer:

SA = 997.88 mm²

Step-by-step explanation:

height² = 20.5² - 13.3² = 420.25 - 176.89 = 243.36

height = √243.36 = 15.6

SA = (16 x 13.3) + (16 x 20.5) + (16 x 15.6) + (0.5 x 2 x 13.3 x 15.6)

SA = 212.8 + 328 + 249.6 + 207.48 = 997.88 mm²

Answer:

a

Step-by-step explanation:

Probabilty usally ends in a %

if probability of a coin landing on heads is 50% and if and

a doesnt describe probability which is why a should be the anwser

though d says 120% the person running the race has full convidence describing themselves that they will win

a doesnt describe any probability it just says 1!! but thats why a is the anwser because its inncorrect!