Please help meeee!!!!

The two inequalities that can be used to find the solution are x-1 < 3 and x-1 > -3.

The given inequality is 3 + 2|x-1| < 9.

The absolute value |x-1| can be (x-1) or -(x-1).

We need to solve this inequality for this two cases.

So first if |x-1| = (x-1), then,

3 + 2|x-1| < 9

⇒ 3 + 2(x-1) < 9

⇒ 2(x-1) < 6

⇒ x-1 < 3

⇒ x < 4 is the solution.

Now if |x-1| = -(x-1), then,

3 + 2|x-1| < 9

⇒ 3 - 2(x-1) < 9

⇒ -2(x-1) < 6

⇒ -(x-1) < 3  

⇒ x-1 > -3  [When multiplied with (-1), the inequality reverses]

⇒ x > -2 is the solution.

Going through these steps, we can conclude that the two inequalities that can be used to find the solution to the absolute value inequality,

3 + 2|x-1| < 9 are x-1 < 3 and x-1 > -3.

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Hilary's first installment is $80

What is linear equation in one variable?

Let x be any variable then ax + b = c  b is an linear equation in one variable

where a, b, c are constants  then we get solution for x as

x=(b-c)/a

Given that Hilary has bought a television on a twelve month installment plan let the installments be x₁, x₂, x₃, x₄,.......... , x₁₂

given x₁ = x₂ = x₃ = 2x₄=2x₅=2x₆=2x₇=2x₈=2x₉=2x₁₀=2x₁₁=2x₁₂

x₄=x₁/2=x₆=x₇=x₈=x₉=x₁₀=x₁₁=x₁₂

and x₁+x₂+x₃+x₄+.......+x₁₂= $600

Then we have got an linear equation in

x₁,

3x₁+9(x₁/2)=600

(6x₁+9x₁)/2=600

15x₁=1200

x₁=$80

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smaller number = y

larger number = x

x - y = 69

4y = x + 3

you can solve this using substitution

x = 69 + y

(isolating one of the variables)

4y = 69 + y + 3

(substituting 69 + y for x into the other equation)

4y = 72 + y

3y = 72

y = 24

(simplify)

x - 24 = 69

x = 93

(substituting 24 into one of the original equations)

Answer: 11

Step-by-step explanation:

area = 121 pi  = pi r^2      Divide both sides by pi

            121 = r^2

               r= 11

At a cost of $3.70, we can buy 7.40 ounces of barley.

Given that,
Barley cost per pound = $8
To determine how many ounces of barley can be bought at a cost of $3.70.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
1 pound  = 16 ounces
since 1 pound = $8
divide both the side by 16
1 / 16 pound  = 8 /16
1 / 16 pound =  $0.5
1 ounce = $0.5 cost
Now,
at 1$ = 2 ounces
multiply both sides by $3.70.
3.70 = 2*3.70 ounces
at $3.70 = 7.40 ounces

Thus, at a cost of $3.70, we can buy 7.40 ounces of barley.

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The step by step formula for figuring out a home mortgage is given by the equation: M = P [ i (1 + i )ⁿ ] / [ (1 + i )ⁿ - 1]

A standard mortgage payment means paying back your loan amount and any interest that the bank stated at the time of giving the loan.

It can also include taxes and insurance with your monthly mortgage rate, but this can be calculated separately.

The equation takes into account your total loan payment with the monthly interest rate and the length of time you have to pay off your loan that is the time period. It gives you a fixed monthly mortgage rate.

Therefore, the step by step formula for figuring out a home mortgage is given by the equation: M = P [ i (1 + i )ⁿ ] / [ (1 + i )ⁿ - 1]

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Answer: x=-15

Step-by-step explanation:

11=x/-5+8

minus 8 on both sides

3=x/-5

multiply by -5 on both sides

x=-15

Answer:

x = -15

Step-by-step explanation:

Given: 11 = x/-5 + 8

We need to get x by itself to make a formula or get an answer

Step 1: Subtract 8 on both sides

We need to subtract 8 on both sides in order to cancel out the 8 on the right and bring it to the left

so, 11 -8 = x/-5 +8 -8 = 3 = x/-5

Step 2: Multiply by -5

We need to multiply by -5 in order to cancel our the -5 on the right and bring it to the left

so, 3*-5=x/-5*5 = -15 = x

Therefore, x = -15.

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

Reason:

Divide each term by its previous term

12/36 = 1/3

4/12 = 1/3

We get the same result each time, and that result is the common ratio. It says to multiply each term by 1/3 to get the next term

36*(1/3) = 12

12*(1/3) = 4

Answer:

Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition.

Step-by-step explanation:

answer:

[tex] \frac{6}{5} [/tex]

f(a)= 2000a +155000 is a linear function that describes the value of the building over time, if a is the age of the apartment building

The owners of an apartment building bought it new and then 5 years later sold it for $165000. They calculated that the building appreciated $2000 per year while they owned it.

we have to find  a linear function that describes the value of the building over time, if a is the age of the apartment building

write a linear function is in slope-intercept form:

y= mx+b

Here, x is the independent variable, and y is the dependent variable. Also, the slope of the line, m, represents some kind of constant rate. Finally, b, the y-intercept represents some sort of starting value for our dependent variable.

165000= $2000*5+b

$165000= $10000+b

$155000=b

f(a)=2000a+155000

therefore f(a)= 2000a +155000 is a linear function that describes the value of the building over time, if a is the age of the apartment building

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Answer:

X = 5

[tex] \sf \large \: x=5 and y=14[/tex]

Step-by-step explanation:

Let's solve your system by substitution.

x=y−9;y−4=10

Rewrite equations:

y−4=10;x=y−9

Step: Solvey−4=10for y:

y−4=10

y−4+4=10+4(Add 4 to both sides)

y=14

Step: Substitute14foryinx=y−9:

x=y−9

x=14−9

x=5(Simplify both sides of the equation)

An example of a function is: The area of a square is a always a function of the length and width.

A counterexample of the function is: The area of a square is a function of the diagonal.

This a term used in mathematics to represent a mathematical relations. This is usually of three parts: the inputs, the output, and the relationship between them.

In the example the sides of the square is the input, the area is the output while the formula is the relationship.

Counter example is used to show a flaw in a mathematical statement where the conclusion is not in agreement with the statement.

In the given example providing a method of calculating area of squares using the diagonals counters the initial statement that has it that area of a square is a always a function of the length and width.

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It would take 3.43 hours to paint living room working together.

In this question, we have been given Fran were to paint her living room alone, it would take her 5 hours. Her sister Wanda could do the job in 8 hours.

We need to find the amount of time required them working together.

Let they need 'x' hours to paint living room together.

So, we get an equation,

1/6 + 1/8 = 1/x

We need to find the value of x.

1/x = (8 + 6) / 48

1/x = 14/48

x = 48 / 14

x = 3.43 hours

Therefore, it would take 3.43 hours to paint living room working together.

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The ratio of height to perimeter of mural is 19:67.

The perimeter of mural will be calculated by the formula -

Perimeter = 2 × (length + breadth)

So, finding the perimeter using the mentioned formula. Keep the values of length and breadth in formula to calculate the perimeter of mural.

Perimeter = 2 × (145 + 190)

Performing addition of values in bracket

Perimeter = 2 × 335

Performing multiplication

Perimeter = 670 feet

Ratio = Height : Perimeter

Ratio = 190 : 670

Cancelling zero to find the ratio

Ratio = 19 : 67

Hence, the ratio of the height to the perimeter of this mural is 19:67.

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n2-8n+7=0. hope this help

Answer:

7 + 8(8) = 71

1) 8x8=64

2) 64+7

N=71

lol

A number between 67 and 113 which is a multiple 4, 6 and 9 is 108

In this question, Greg must choose a number between 67 and 113 that is a multiple 4, 6 and 9.

We need to find the numbers which follow above conditions.

First we find the numbers between 67 and 113 that is a multiple 4.

68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112

the numbers between 67 and 113 that is a multiple 6 are:

72, 78, 84, 90, 96, 102, 108

the numbers between 67 and 113 that is a multiple 9 are:

72, 81, 90, 99, 108

We can observe that a common number between 67 and 113 which is a multiple 4, 6 and 9 is 108

Therefore, a number between 67 and 113 which is a multiple 4, 6 and 9 is 108

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The second pair represent a unit rate. And the graph is shown.

An ordered pair is a pair made up of two parts that are written inside parantheses and are separated by commas. For instance, the ordered pair (x, y) denotes an ordered pair where "x" is the first member and "y" is the second element. These elements, which can either be variables or constants depending on the context in which they are used, have distinct names.

In an ordered pair, the element order is somewhat significant. It implies that (x, y) may not always be equivalent to (y, x).

When describing a point's location on the coordinate plane with respect to the origin, a coordinate geometry ordered pair is employed.

Hence the graph is attached and the second pair represents the unit rate.

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Answer:

3.17 I believe

Step-by-step explanation:

you have to divide $38 by 12 (the amount of issues), and by doing that you get 3.166666666, but it says round to the nearest cent so it'll be 3.17

Answer:

The answer is A. –2 to –1

Step-by-step explanation:

Answer: A on edge

Step-by-step explanation:

Answer: The location of P is -9

Step-by-step explanation:

Answer: Alejandro will wash 8 cars in 2 hours and 20 cars in 5 hours

Step-by-step explanation:You would just need to divide 4 by 8 and 20.8 divided by 4 is 2 and 20 divided by 4 is 5

Answer:

225

Step-by-step explanation:

To square a number, you simply multiply it by itself.

15² = 15 · 15 = 225

Option D. From the question that we have here, we would have it that neither option A or option B would help the Green in order to meet up with the plan that they have.

The house they want to put an addition on is in 18 months. The amount to be saved is $10620, the total amount saved after a year = 6120

Remember that a year has 12 months, if they are only able to save the above in a year, then in 12 months they cannot meet with the saving target.

Increasing saving by 120 for 18 months = 120 x 18= $2160

This is still below the target.

Hence we would conclude by saying that Neither option A nor option B will allow them to meet their goal.

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Based on the exterior angle theorem, the indicated measures are: t + p = 135°.

In a triangle where an exterior angle is formed outside the triangle by an extended side of the triangle, the exterior angle theorem states that the measure of this exterior angle must be equal to the sum of the two interior angles that are directly opposite this exterior angle.

Angle t and angle p are interior angles of the triangle that are opposite the exterior angle that measures 135 degrees.

This implies that: the sum of angles t and p would be equal to 135 degrees.

Therefore, based on the exterior angle theorem, the indicated measures are: t + p = 135°.

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