Solve this absolute value inequality.

{14-2x]<8

Answer:

(A)

[tex]x=-4[/tex]

(B)

[tex]g(x)=\frac{3x-1}{x+4}+4[/tex]

(C)

[tex]x=-17[/tex]

Step-by-step explanation:

we are given

[tex]f(x)=\frac{3x-1}{x+4}[/tex]

(a)

we know that

any function is undefined when denominator =0

so, we can set denominator =0

and then we can solve for x

[tex]x+4=0[/tex]

[tex]x=-4[/tex]

So, it does not have solution at [tex]x=-4[/tex]

(b)

If g(x) is a vertical shift up 4 units from f(x)

Whenever we shift vertically upward by 'a' units , we always add 'a' to y-value

so, we get

g(x)=f(x)+4

we get

[tex]g(x)=\frac{3x-1}{x+4}+4[/tex]

Graph:

(C)

we can set g(x)=8

and then we can solve for x

[tex]8=\frac{3x-1}{x+4}+4[/tex]

[tex]8\left(x+4\right)=3x-1+4\left(x+4\right)[/tex]

[tex]8x+32=7x+15[/tex]

[tex]x=-17[/tex]

Answer:

72 Tiles.

Step-by-step explanation:

Multiply 8 by 9.

8*9=72

Good luck please mark me brainliest

The question is about calculating the area of a rectangle made by square tiles. Jing used a total of 72 tiles by arranging them 8 tiles in length and 9 tiles in width.

This is a problem of area calculation in Mathematics. Jing has to create a rectangle using his square tiles. When it is mentioned that there are 8 tiles along the length and 9 tiles along the width of the rectangle, that means Jing is setting tiles 8 in a row (length) and 9 in a column (width).

The total number of tiles used can be calculated by multiplying the length by the width. This calculation is based on the formula for the area of a rectangle, which is length x width.

So, Jing used 8 tiles (length) x 9 (width) = 72 tiles in total to build the rectangle.

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The sale price as a function of the original selling price can be represented by the equation: Sale price = Original selling price - (40% of Original selling price). The inverse function represents the original selling price when the sale price is given. It allows us to find the price at which the furniture was originally sold before the discount was applied.

a) The sale price as a function of the original selling price can be represented by the equation:

Sale price = Original selling price - (40% of Original selling price)

For example, if the original selling price is $100, the sale price would be:

Sale price = $100 - (40% of $100) = $100 - $40 = $60.

b) To find the inverse of this function, we can swap the dependent and independent variables. Let's call the original selling price 'x' and the sale price 'y'. So, the inverse function is given by:

Original selling price = Sale price + (40% of Sale price)

c) The inverse function represents the original selling price when the sale price is given. It allows us to find the price at which the furniture was originally sold before the discount was applied.

Answer:

D

Step-by-step explanation:

The number of points the stock changed in a week will be equal to -1 2/3.  Hence, option D is correct.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given information in the question,

Value of a stock increased 14 2/3 twice in one week.

Then, its value will be.

= 2 × 14 2/3

= 2 × 44/3

= 88/3

Then, the other 3 days it decreased by 10, 8 1/3, and 12 2/3 points.

So, the total decrease will be,

10 + 25/3 + 38/3

= (30 + 25 + 38)/3

= 93/3

So, the value of stock change will be,

88/3 - 93/3

= - 5/3 or,

In mixed fraction form, it can be written as -1 2/3.

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Answer:

Step-by-step explanation:My answer I would say is 1,282.735.I got that by multiplying 732.98 by .75 since the sales tax is 75% of 732.98 which is 549.735.Then you just add those 2 together.Hope this helps!!!  Please mark brainliest!!!!

Answer:

24.25

Step-by-step explanation:

8*x=194

8/8 crosses out and 194/8=24.25

with means x=24.25

Answer:

2 3/4

Step-by-step explanation:

22/8 = 2 6/8 = 2 3/4

Hope that helps and feel free to ask me more questions :)Brainliest??

Knowing base angles theorem, we know that if the triangle is isosceles, then the bottom base angles and congruent. That means that, we must subtract 80 from 180 and then divide the number by 2, since we must find 1 base angle. This brings us to the answer, 50 degrees.

Hope this helps! <3

Answer:

10 tacos costs $15.00

Step-by-step explanation:

I like to use ratio's to solve this  type of problem.  I will put cost over number of tacos.

$6.00       x dollars

--------   =  --------------

4 tacos     10 tacos

Using cross products

6 * 10 = 4 * x

60 = 4x

Divide each side by 4

60/4 = 4x/4

15 =x

10 tacos costs $15.00

Answer:

B) $15.00

Step-by-step explanation:

well if 4 taco = $6 just divid to see how mutch one taco is

6.00 divided by 4 = $1.50

now just times 1.50 by 10 to get $15

hope this helped

Answer:

To have the greatest probability of a returning customer, Julie should 3-4 Hours per customer

Step-by-step explanation:

==> To compare the Time Designing Probability of Return, we need to convert the Probabilities into Percentage form by multiplying them with 100.

1-2 Hour = (5÷8) × 100 = 62.5%

2-3 Hours = (5÷9) × 100 = 55.55%

3-4 Hours = (7÷8) × 100 = 87.5%

4-5 Hours = (3÷4) × 100 = 75%

5-6 Hours = (1÷2) × 100 = 50%

6-7 Hours = (3÷7) × 100 = 42.85%

7-8 Hours = (2÷9) × 100 = 22.22%

To have the greatest probability of a returning customer, Julie should 3-4 Hours per customer

Answer:C)3-4 hours

Step-by-step explanation:

Okay, notice one thing right off the bat? 60 degrees on a right triangle (unit circle w/ terminal arm) will create the infamous 30-60-90 triangle.

We can use this to our advantage. Since sin is the y-coordinate on the unit circle. We need to solve for the longest side of a 30-60-90 triangle.

We find that the long side (y) of our 30-60-90 triangle is sqrt(3)/2. Since this is in quadrant 1, we know it is positive.

So -- sin60° = sqrt(3)/2

The value of the sine of the angle 60 degrees will be √(3) / 2.

A right triangle's ratio of the hypotenuse's length to the length of the side opposite an angle is represented by the sine function, a trigonometric function. We can calculate the sine function for a generally understood angle of 60 degrees.

Consider an equilateral triangle with all sides equal for a 60-degree angle. The triangle's side across from the 60-degree angle is equal in length to the other sides.

The ratio of the length of the side opposite the 60-degree angle to the length of the hypotenuse is √(3 / 4) because an equilateral triangle has all angles measuring 60 degrees.

Sin 60 degrees hence equals 1/2.

The sine of 60 degrees is, therefore, √(3 / 4) or √(3) / 2.

More about the trigonometry link is given below.

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Answer:

Step-by-step explanation:

How many times must you step back 8 inches after stepping forward 60 inches to end 28 inches from your starting point?

x = number of items that cost $8 per piece

if you buy x of these items for 8 dollars each, then 8*x represents how much you've spent so far. If you start off with $60, then 60-8x = -8x+60 is the total amount of money leftover in your pocket.

If you start off with $60 and end up with $28, then -8x+60 = 28 is the equation that models this. Solving for x leads to finding out how many of these items you have purchased. In this case, the solution is x = 5.

Answer:

the answers are s = -2 and s = -8

Step-by-step explanation:

Final answer:

The price of the candy mixture per pound is $8.60.

Explanation:

To find the price of the candy mixture per pound, we need to calculate the total cost of the sugar sticks and jelly beans, and then divide it by the total weight of the candy mixture.

Let's start by calculating the total cost of the sugar sticks. The cost per pound of sugar sticks is $10, and we have 6 pounds of sugar sticks, so the total cost of the sugar sticks is 6 x $10 = $60.

Next, let's calculate the total cost of the jelly beans. The cost per pound of jelly beans is $8, and we have 14 pounds of jelly beans, so the total cost of the jelly beans is 14 x $8 = $112.

Now, let's calculate the total weight of the candy mixture. We have 6 pounds of sugar sticks and 14 pounds of jelly beans, so the total weight of the candy mixture is 6 + 14 = 20 pounds.

Finally, let's calculate the price of the candy mixture per pound. We divide the total cost of the candy mixture by the total weight of the candy mixture: ($60 + $112) / 20 = $172 / 20 = $8.60.

Therefore, the price of the candy mixture per pound is $8.60.

Answer:

The diameter is 20 mi

Step-by-step explanation:

The circumference of a circle is given by

C = pi*d

We can substitute C=62.8 mi

62.8 = pi* d

Divide each side by pi

62.8/pi = d

Using 3.14 for pi

d = 20 mi

Look at the picture.

The triangles ABC and DEC are similar. Therefore the sides are in proportion:

[tex]\dfrac{AC}{DC}=\dfrac{AB}{DE}[/tex]

AC = 4cm + 16cm = 20cm

DC = 16cm

AB = 15cm

DE = r

Substitute:

[tex]\dfrac{20}{16}=\dfrac{15}{r}\to\dfrac{5}{4}=\dfrac{15}{r}[/tex]      cross multiply

[tex]5r=(4)(15)[/tex]

[tex]5r=60[/tex]     divide both sides by 5

[tex]r=12\ cm[/tex]

The volume of a larger cone:

[tex]V_l=\dfrac{1}{3}\pi\cdot15^2\cdot20=\dfrac{1}{\not3_1}\pi\cdot15\!\!\!\!\diagup^5\cdot15\cdot20=1500\pi\ cm^3[/tex]

The volume of a smaller cone:

[tex]V_s=\dfrac{1}{3}\pi\cdot12^2\cdot16=\dfrac{1}{\not3_1}\pi\cdot12\!\!\!\!\!\diagup^4\cdot12\cdot16=768\pi\ cm^3[/tex]

The volume of the frustum:

[tex]V=V_l-V_s\to V=1500\pi-768\pi732\pi\ cm^3[/tex]

Answer:

2. 31/6  3. -12/1   4. integer  5. rational number

Step-by-step explanation:

2. You multiply the 5 by 6/6, so it becomes 30/6, then add the 1/6. getting you the 31/6.

3. Since -12 is already an integer with no mixed part, you just put it over 1.

4. -12 is an integer, but is not a whole number because it is negative.

5. fractions are rational numbers

Answer: 4. is not a rational nmber. You can't multiply a number that will give you 12. 12 has a integer by it, so that means -12 is a integer. 5. is a rational number.

Step-by-step explanation:

Answer:

24 drops of yellow paint

Step-by-step explanation:

We have a ratio of red paint to yellow paint

red:yellow

5: 8

We need red to be 15 drops, so we multiply by 3

What we do to one side we do to the other

red:yellow

5*3     8*3

15 : 24

We need 24 drops of yellow paint

Answer:

D.) Linear

Step-by-step explanation:

There are no exponents

also I had the same question

The rate of cost growth can be seen as the cost of adding 1 unit of basketball to the output. This cost as we know is $6, given for each basketball produced. Since this is constant, the rate of cost growth is seen as linear. Hence option D is the right choice.

A quantity grows linearly if it increases by the same amount per unit of time.

A quantity grows non-linearly if the increase in the amount is not the same per unit of time.

In the question, we are informed that a factory that manufactures basketballs spends $6 on each basketball that it produces.

We are asked to describe the rate of cost growth at the factory.

The rate of cost growth can be seen as the cost of adding 1 unit of basketball to the output. This cost as we know is $6, given for each basketball produced. Since this is constant, the rate of cost growth is seen as linear. Hence option D is the right choice.

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Answer:

you get in at 11:23

Step-by-step explanation:

53-30=30

so 11:23

Answer:

11:27

Step-by-step explanation:

Answer:

1 foot 6 inches

Step-by-step explanation:

That would be the difference between 12 feet and 10 feet 6 inches.

Answer:

the answer is 18 inches (:

Step-by-step explanation:

Answer: B - x 1 3 4 5 y 50 150 200 250

Step-by-step explanation: The equation is y = 50x

Answer:

b

Step-by-step explanation:

plz mark brainlyest  

Answer:

Logically it would be 1/8 chance but since I don't know what color the all are, It's hard to tell

Step-by-step explanation:

Answer:

r = {-8, -4}

Step-by-step explanation:

Simplifying

r2 = -32 + -12r

Solving

r2 = -32 + -12r

Solving for variable 'r'.

Reorder the terms:

32 + 12r + r2 = -32 + -12r + 32 + 12r

Reorder the terms:

32 + 12r + r2 = -32 + 32 + -12r + 12r

Combine like terms: -32 + 32 = 0

32 + 12r + r2 = 0 + -12r + 12r

32 + 12r + r2 = -12r + 12r

Combine like terms: -12r + 12r = 0

32 + 12r + r2 = 0

Factor a trinomial.

(8 + r)(4 + r) = 0

Subproblem 1

Set the factor '(8 + r)' equal to zero and attempt to solve:

Simplifying

8 + r = 0

Solving

8 + r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + r = 0 + -8

Combine like terms: 8 + -8 = 0

0 + r = 0 + -8

r = 0 + -8

Combine like terms: 0 + -8 = -8

r = -8

Simplifying

r = -8

Subproblem 2

Set the factor '(4 + r)' equal to zero and attempt to solve:

Simplifying

4 + r = 0

Solving

4 + r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + r = 0 + -4

Combine like terms: 4 + -4 = 0

0 + r = 0 + -4

r = 0 + -4

Combine like terms: 0 + -4 = -4

r = -4

Simplifying

r = -4

Solution

r = {-8, -4}

Answer:

Hence amount of Alana's donation is $4.5.

Step-by-step explanation:

Amount of Alana's donation = x

Her grandmother agreed to add $4.00 to the amount Alana earned.

So new amount of money = (x+4)

She gives only half of the sum which is (x+4)/2.

She gave her $4.25 so both values must be equal.

[tex]\frac{\left(x+4\right)}{2}=4.25[/tex]

[tex]x+4=4.25*2[/tex]

[tex]x+4=8.5[/tex]

[tex]x=8.5-4[/tex]

[tex]x=4.5[/tex]

Hence amount of Alana's donation is $4.5.

Alana earned $4.50 from doing chores before her grandmother added an additional $4.00 and then gave her half of the total, which was $4.25.

The question relates to finding out how much money Alana earned by doing chores before her grandmother added $4.00 and then gave her half. In this scenario, we let x represent the amount of money that Alana earned from doing chores. According to the information provided, Alana's grandmother agreed to add $4.00 to Alana's earnings and then give her half of the total sum. This can be expressed as:

(x + 4.00) / 2 = 4.25

To solve for x, we first multiply both sides of the equation by 2 to get rid of the denominator:

x + 4.00 = 4.25 * 2

x + 4.00 = 8.50

Next, we subtract $4.00 from both sides of the equation to solve for x:

x = 8.50 - 4.00

x = 4.50

Therefore, the amount of money Alana earned from doing chores is $4.50.

Answer:

finding the number of equal-sized parts into which a number can be split

Step-by-step explanation:

Let us split the number 80 into 10 equal parts.

80 = 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8

= 8 + 8 + 8 +...to 10 times

= 8(10)

or [tex]\frac{80}{10} =8[/tex]

So, if N is any number and p is one of its equal part, then the number of parts into which N is split by p is [tex]\frac{N}{p}[/tex].

Hence, finding the number of equal-sized parts is best modeled with a division expression.

Answer:

Finding the number of equal-sized parts into which a number can be split

Step-by-step explanation:

The correct answer is - finding the number of equal-sized parts into which a number can be split.

Division is defined as the action of splitting something in equal parts.

So, here the first option states this definition.

Taking an example of: Lets divide 100 in 5 equal parts. So, this becomes

[tex]\frac{100}{5}=20[/tex]

This can be also written like : [tex]20+20+20+20+20=100[/tex]

So, division is where you split something equally.

Answer:

$590.50

Step-by-step explanation:

Juan earns $310 every week.

He earns 5.5% on merchandise sold.

On a week he sells $5100, we need to figure 5.5% of that amount and then add $310.

$5100

X  .055

______

$280.50 commission.

+ 310.00 salary for the week

_______

$590.50

Answer:

C

Step-by-step explanation:

67 plus 38 equals 105. the opposite interior equals the outside.

Answer:

-1.83

Step-by-step explanation:

To find sum of geometric series we use formula

[tex]S_n = \frac{a(1-r^n)}{1-r}[/tex]

In the question , given i=1  so a= 11* -1/5 = -11/5

Here a= 11

r= -1/5, n=10

Plug in the values in the formula

[tex]S_10 = \frac{-11}{5}*\frac{(1-(\frac{-1}{5})^{10}}{1-(\frac{-1}{5})}[/tex]

S_10 = -1.83

The correct option is c.

To evaluate ∑(i=1 to 10) 11(-1/5)^i, we substitute each value of i into the formula and sum the results. Rounding the answer to the nearest hundredth gives -0.01.

To evaluate the given expression, we need to substitute each value of i from 1 to 10 into the formula 11(-1/5)^i and then sum up the results:

Summing up all these values, we get:
-11/5 + 11/25 - 11/125 + 11/625 - 11/3125 + 11/15625 - 11/78125 + 11/390625 - 11/1953125 + 11/9765625 ≈ -0.00001

Therefore, the rounded answer to the nearest hundredth is C. -0.01.

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The complete question is here:

Evaluate \sum_{i=1}^{10} 11\left(-\frac{1}{5}\right)^i. Round your answer to the nearest hundredth.

A. 13.75

B. 9.17

C. -0.01

D. -1.83