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An absolute value inequality that has a solution set -1<=x<=3 is |x-1| <= 2

The set of values of the variable involved in the inequality for which the considered inequality holds true is called the solution set for that inequality.

We've to find an absolute value inequality that has the solution set

-1 <= x <= 3

1+2 = 3

and 1 - 2 = 3

Therefore, we can rewrite the considered inequality as:

1-2 <= x <1+2

Subtracting 1 from all the sides:

-2 <= x-1 <= 2

This is written as:

|x-1| <= 2 (it is because [tex]|x| \leq a \leftrightarrow-a \leq x \leq a[/tex] )

Thus, an absolute value inequality that has a solution set -1<=x<=3 is |x-1| <= 2

Learn more about absolute value inequality here:

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Answer:

3812.5

Step-by-step explanation:

2500 x 3.5% = 87.5 x 15 = 1312.5 + 2500 = 3812.5

The money will Alec have in 15 years with 3.5% simple interest is equal to 3812.5.

We have given that,

Alec opened up a savings account with $2,500 and the account will earn 3.5% simple interest.

Simple interest refers to the straightforward crediting of cash flows associated with some investment or deposit.

2500 x 3.5%

= 87.5 x 15

= 1312.5 + 2500

= 3812.5

Therefore we get the money will he have in 15 years is equal to 3812.5.

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Answer:

y=2.5x i think..

Step-by-step explanation:

Answer:

I don't know if my answers are showing but its 3

Step-by-step explanation:

Answer:

I will say point b

Step-by-step explanation:

because -0.905 = -0.91 = -0.9 = b beacuse 0.905 isn't close to 1 but 0.95 is closer so i would say be

Answer:

6.5 feet.

Step-by-step explanation: The question is asking for the radius of the triangle, and the formula for that is r = c / (2 * π). Plugging in 41 for c, and 3.14 for two, the answer rounds up to 6.5 or 6.53 feet.

Answer:

1,4

Step-by-step explanation:

Working with fractions can be tricky, so I like to start by multiplying everything by the LCM of the denominators of the fractions.

In this case, both fractions have a denominator of 4, which means that the LCM is 4 and we will be multiplying everything by 4.

1/4x - 1 = 3/4x - 5

---The below equation looks much more familiar and appears easier to solve.

1x - 4 = 3x - 20

-4 = 2x - 20

16 = 2x

x = 8

Answer: C, x = 8

Hope this helps!

Answer:

x -3y = - 3

Step-by-step explanation:

Slope of line m = (0 -1 )/(-3 - 0) = 1/3

y - intercept b = 1

Equation of line in slope-intercept form is given as:

y = mx + b

Plugging m = 1/3 and b = 1 in the above equation, we find:

y = 1/3 x + 1

-> 3y = x + 3

-> x -3y = - 3

This is the required equation of line.

Answer:

questions 2 and 3 are correct number 7 is 40

Step-by-step explanation:

Answer:

The slope of (-5,10)(-3,0) is -5

The slope of (0,1)(4,-4) is -5/4

Step-by-step explanation:

The slope-intercept form is y=mx+b

In order to find slope, do y2-y2/x2-x1

x and y are the coordinates and then you just plug them in

8.06 miles

hope it helps...!!!

Answer:

Circumference: 153.86

Area: 43.96

Step-by-step explanation:

Circumference: 2(3.14)r

Area: 3.14(r^2)

Lets find the Circumference first :)

2(3.14)7

(6.28)7

43.96

Now lets find the area!

3.14(7^2)

3.14(49)

153.86

Have an amazing day!!

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Answer:

[tex]beinggreat78~here~to~help.[/tex]

Circumference: 44(round to nearest 10)

Area: 154(round to nearest ten)

To do this problem, let's start with circumference, because we must know that before finding area.

[tex]C=2\pi r=2*\pi *7~rounds~to~43.9823[/tex]

Next, find the area by using the circumference. This time, we will use the exact numbers.

[tex]A=\pi r2\\C=2\pi r[/tex]

Now, solve for area.

[tex]A=\frac{ C^2}{4\pi }=\frac{43.98^2}{4 * \pi } ~rounds~to~153.93806[/tex]

With that information, the problem has been solved.

Answer

Area- 9 and Perimeter- 12

Step-by-step explanation:

Answer:

2k is the right answer

Answer:

C, ∠s = 128°

Step-by-step explanation:

These two angle measures are corresponding(can be found in matching corners of a transversal cutting into two parallel lines), which means they are congruent(and congruent angles measure the same degree).

Answer:

c.

Step-by-step explanation:

u just filp it over and, well, there

Answer:

x=1

Step-by-step explanation:

Answer: 3.3 times 10^5 is bigger

Step-by-step explanation: 10^5= 10*10*10*10*10=100,000.

so 100,000 multiplied by 3.3 = 330,000

or 3.1 multiplied by 100,000 = 310,000 so it's obvious that 330,000 is bigger.

Answer:

10) acute triangle

13) right triangle

Step-by-step explanation:

all triangles have angles that add up to 180 degrees

find the third angle of the triangle by subtracting the known angles from 180

180-75-78=27

acute triangles have no angles that surpass 90 degrees which fits that triangle's description

180-54-36=90

since one angle is 90 degrees, it is a right triangle

Answer:

[tex]\huge\boxed{\bf\:10) \: Acute \: angled \: triangle}[/tex]

[tex]\huge\boxed{\bf\:11) \: Right \: angled \: triangle}[/tex]

Step-by-step explanation:

▪︎ Question 10 :

We need to find the missing angle at first. Take it as 'x' .

We know through the angle sum property of a triangle that the total sum of all the angles in a triangle will sum up to 180°. Hence,

75° + 78° + x° = 180°

153° + x° = 180°

x° = 180° - 153°

x° = 27°

Then, since all the angles are less than 90°, we can say that the triangle is an acute angled triangle.

[tex]\rule{150pt}{2pt}[/tex]

▪︎ Question 11 :

Just like the above question, we need to find the missing angle at first. Take it as 'y' .

The total sum of all the angles in a triangle will sum up to 180° (angle sum property of triangles). Hence,

36° + 54° + y° = 180°

90° + y° = 180°

y° = 180° - 90°

y° = 90°

Since, one angle is equal to 90°, the given triangle is a right angled triangle.

[tex]\rule{150pt}{2pt}[/tex]

Answer:

C. y = 4.5x

Step-by-step explanation:

The recipe calls for 4.5 teaspoons of sugar to make each cup of pudding. To make 2 cups of pudding, we would need two groups of 4.5 teaspoons, or 4.5+4.5=9 teaspoons of sugar. To make 3 cups of pudding, we would need 3 groups of 4.5 teaspoons, or 4.5+4.5+4.5=13.5 teaspoons of sugar. This repeated addition can be simplified as multiplication, because 4.5+4.5=4.5*2. We will need y teaspoons of sugar to make x cups of pudding. For each cup of pudding, we need 4.5 teaspoons of sugar. So, y=4.5x. If we made 2 cups of pudding (meaning x = 2 now), we fill that in and solve for y, which equals 9, as seen at the start.

Answer:

C.  y = 4.5x

Step-by-step explanation:

Hope I helped!!

Answer:

90 ft sq

Step-by-step explanation:

L*W is the formula so 9 times 10 is 90.

Answer:

4.08

Step-by-step explanation:

Answer:

Step-by-step explanation:

Okay, 300-(-1,200) =(-900) then 120-(-780) my bad my friend gave you another problem here that is all is that good T_T

Answer:

Xiu

Explanation:

0.96 is about 1. 1 represents the length of one time around the block. If she goes around the block 13 times, that is 13 multiplied by 1, which is 13.

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Answer:

please give options.

Step-by-step explanation:

The number of inches is what ?

Answer:

1.  6 ft

2. 1 ft

3. 1/2 ft

Step-by-step explanation:

We know that the quilt is the shape of a square, since we are told that the main design has the same length sides of 5 ft.

Area of a square = s² (where s is the side length)

If the finished quilt has an area of 36 ft² then the length of one side is:

⇒ s = √(36) = 6 ft

Side length of main design = 5 ft

Side length of finished quilt = 6 ft

6 - 5 = 1 ft

Therefore, the border increased the total length of each side by 1 ft

As the border goes around the whole quilt, this means that the extra 1 ft needs to be divided by 2, so that each side has an equal amount added.

Therefore, the width of the border is 1/2 ft

**see attached diagram.  Main design is shown in blue, border is shown in green**

Answer:

4m

Step-by-step explanation:

So 96 divided by 6 is 16, 16 divided by 2 is 8, 8 divided by 2 is 4.

Answer:

doc tor

Step-by-step explanation:

Answer:

Doc   tor

Step-by-step explanation:

Two syllable word