Graph f(x)=-2x + 4. What is x when f(x)=-8? Complete the explanation on how you found x.

1) We have to solve for x.

We have a right triangle, so we can apply the Pythagorean theorem to relate the side lengths.

As x is the hypotenuse, we can write:

Answer: x = 17.5

The result obtained when we simplify the expression ³√(32a⁷b⁹) is ³√(2⁵ × a⁷) × b³

The simplification of ³√(32a⁷b⁹) can be obatined as illustrated below:

³√(32a⁷b⁹)

We shall simplify the individual term. This is shown below

³√32 = ³√2⁵

³√a⁷ = ³√a⁷

³√b⁹ = b^(9/3) = b³

Combining the above, we have

³√(32a⁷b⁹) = ³√2⁵ × ³√a⁷ × b³

³√(32a⁷b⁹) = ³√(2⁵ × a⁷) × b³

From the above illustration, we can conclude that simplifying ³√(32a⁷b⁹) results in ³√(2⁵ × a⁷) × b³

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

-1/5, 10.5, 0.25, 5/10​

Step 02:

-1/5 = -0.2

5/10 = 0.5

from least to greatest

- 1/5 , 0.25 , 5/10 , 10.5

That is the solution.

Answer:

309.76 mm²

Explanation:

The given figure is a square with:

• Side length, s = 17.6 mm

The area of a square with side length, s is found by using the formula:

Therefore:

.The area of the figure is 309.76 mm².

Answer: 19/4 or 4 3/4 or 4.75

Step-by-step explanation:

calculate the sum

12(7/12)^2+(2/3)

use the properties of exponents

12x(49/144)+(2/3)

simplify the expression

(49/12)+(2/3)

calculate the sum

19/4 or 4 3/4 or 4.75

have a GREAT day!!

Answer:

that girl is wrong because if you add 83+96+74 it equals 253, and that is not greater than 300

Step-by-step explanation:

The standard deviation of the population is 1.0823

Given

95% confidence interval

Mean fresh men hours on phone 2.5 hr,  3.1 hr

ME is calculated as follows:

Margin of Error = Z a/2 * (sd/ [tex]\sqrt{n}[/tex]) = (Upper

Where sd = standard deviation

n = size of population

interval - Lower Interval) / 2 = (3.1 - 2.5) / 2 = 0.3

Where,

x = Mean

Standard Deviation

(Confidence Level/100) - 1

Z = a/2× ([tex]sd/\sqrt{n}[/tex]), where

([tex]sd/\sqrt{50}[/tex]) = 0.3 = 1.96

Standard deviation equals [tex]0.3\sqrt{\frac{50}{96} }[/tex],

which is  1.0823

Hence the population standard deviation is 1.0823

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Remember that

The volume of a sphere is equal to

we have

r=19.8/2=9.9 m -----> the radius is half the diameter

pi=3.14

substitute given values

We need to solve the inequality:

In order to do so, we can expand the expressions on each side, then apply the same operations on both sides of the inequality until we isolate the variable x and find the solution.

By expanding the expression, we obtain:

Now, adding 4x to both sides, we obtain:

Subtracting 3 from both sides, we obtain:

Then, dividing both sides by 8, we obtain:

Notice that x must be less than 5/8. Thus, 5/8 does not belong to the solution set. We represent this using (..., ...) for interval notation (open interval). Also, since there is no beginning to the interval solution, we write -∞ in replacement of the left boundary of the set.

Therefore, the solution set is:

Answer

Given:

Area of each sqaure = 1 square unit

Let's find the total surface area of the net image.

From the image, the total number of squares we have is = 52.

The total surface area will be the total number of squares since each square represents one square unit.qu

We have 52 squares in total.

Therefore, the total surafce area of the rectangular prism is 52 square units.

ANSWER:

B. 52 square units

a) 5y

b) 7de

c) 20yz

d) 90d

We have:

That in 1/4th of 24 hours someone reads 1/3rd of a book, in other words:

So in 6 hours someone reads 1/3rd of a book, now:

If in 6 hours someone reads 1/3 of a book, then how many hours will it take to read the whole book.

In order to solve for the ammount of hours to read the whole book, we multiply the ammount of hours it takes to read 1/3rd of the book (6h) times the total of the book (1 book) and divide by the ammount of book that is read in 6 hours (1/3rd); that is:

Therefore the total ammount of time it will take to read the whole book are 18 hours.

Let:

x = Number of pink roses

y = Number of yellow roses

there are 19 members on the team, so:

the pink roses cost $3 and the yellow roses cost $2 you will spend $50, so:

so:

Amount of money made by thee winning student as per the given conditions is equal to $93.

As given in the question,

Let x dollars be the money made by winning student

And y be the amount made by other student

As per given conditions:

x + y = $132 ___(1)

x + 15 = 2(y+15)

⇒ x  +15 = 2y +30

⇒ x-2y =15 ____(2)

Multiply (1) by 2 and add it to (2)

2x +2y = 264

 x - 2y = 15

3x       = 279

⇒x =$93

Hence, y = 132 -93

              = $39

Therefore, amount of money made by thee winning student as per the given conditions is equal to $93.

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Calculate the percentage for the tax rate

using this analysis

The tax rate for meals in this city is 8.5%

Calculate the tax for the $66 meal.

The tax for a $66 meal should be $5.61

Answer: True

Step-by-step explanation: As the Symmetric property states you can put a variable on either side of a problem, or an equation.

Recall that:

Therefore:

Simplifying the above result we get:

Answer: 0.016.

In linear equation, p(x) = -2x³ - 6x² - 12x - 8 is  the equation of the cubic polynomial in standard form.

What is linear equation in math?

Given the roots x1, x2, and x3 of a cubic polynomial, the equation can be written

p(x) = a( x - x₁ ) ( x - x₂) ( x - x₃ )

Where a is the leading coefficient.

We know the three roots of the polynomial  −2, 1 and 2.

p( x ) = a( x + 2) ( x + 1 ) ( x + 2 )

Since the y-intercept of the polynomial is y= - 8 when x=0

- 8 = a( 0 + 2 ) ( 0 + 1 ) ( 0 + 2 )

- 8 = a *  4

- 8 = 4a

a = -8/4

a = -2

The polynomial is

p( x ) = -2( x + 2) ( x + 1 ) ( x + 2 )

We must write it in standard form, so we have to multiply all of the factors as follows

p(x) =  -2 ( x + 1 )² ( x + 1 )

p(x) = -2 ( x² + 4 + 2x ) ( x+ 1 )

p(x) = -2 ( x₃ + 3x² + 6x + 4 )

p(x) = -2x³ - 6x² - 12x - 8

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The given equation is 3(s + 5)

and it will be simplified as

3(s + 5) = 3s + 15

So option A is correct

1)First, lets arrange our data in ascending order:

notice that we have the following:

now, since we have ten elements in your data set, we can find the median by adding the two central elements. In this case we have:

Next, notice that we can divide our data set in two equal parts:

the median in these two subsets are going to be or first and third quartile, therefore, we have that:

Now we can find the IQR:

Finally, the outliers are the following for 1.5 interquantile:

2)The box and whisker plot would be the following:

3)We can find the mean with the following formula:

In this case, the mean is:

therefore, the average life span is 11.9

$)We can find the mean absolute deviation (or MAD), with the following expression:

with this expression we can find out the variability of the dataset.

In this case, we have the following:

We have that the MAD for the average lifespan is 5.9

5) Since the mean absolute deviation is 5.9, we can estimate that the values of the dataset are approximately 5.9 units away from the mean. therefore, there is a high variability in the life span of the animals

Answer:

Step-by-step explanation

56 cents

Explanation: The deal is 7 cents less per ounce, you need to buy 8 ounces, multiply 7 by 8, equaling 56 cents

the cost of laptop and cost of desktop is $1,800 and $2,100 respectively does each computer cost before finance charges.

What are mathematics operations?

• A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value. The number of operands determines the operation's arity. Most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive and multiplicative inverses.

• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.

From the question above, we can see that the laptop costs $350 more than the desktop, therefore, we say:

let x represent the cost of the laptop ;

then x-350 will be the cost of the desktop .

We can also see that the total finance charge of $400 is equal to 8% of the cost of the laptop and 7.5% of the cost of the desktop, we solve as follows:

400 = 0.08(x) + 0.075(x - 350)

252 = 0.08x + 0.075x - 26.25

252  26.75 = 0.155x

278.75 = 0.155x

x = 278.75/0.155

x = 1798

Recall that:

cost of desktop = x -350

therefore:

1,798- 350 = 1448

cost of laptop = $1798

cost of desktop = $1448

Thus, the cost of laptop and cost of desktop is $1,800 and $2,100 respectively does each computer cost before finance charges.

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Given:

A number multiplied by - 9, subtracted from the sum of 15 and two times the number.

Let the number = x

A number multiplied by - 9 ⇒ -9x

The sum of 15 and 2 times the number ⇒ 15 + 2x

So, the expression will be ⇒ 15 + 2x - (-9x) = 11x + 15

So, the answer will be ⇒ 11x + 15

On a street with 60 homes, about 7 out of 20 have a dish washer, and 21 expect to have one.

A ratio can be used to resolve this 7/20=x/60 is the ratio.

20x=420

x=21

The answer is 21

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Save Submit Melanie and Joseph are raising money for their class trip to the zoo. They each need $30 to pay for the trip and are selling boxes of cookies for $4 each to earn the money. Joseph has sold 5 boxes and Melanie has sold 3 boxes. How much more money does Melanie need than Joseph? A) $10 B) $12 $18 DY $8

Joseph -------> has sold 5 boxes

5*($4)=$20 --------> need 30-20=$10

Melanie -------> has sold 3 boxes

3*($4)=$12 ------> need 30-12=$18

therefore

18-10=$8

Given: A statement- A number is negative if and only if it is less than 0.

p: A number is negative.

q: A number is less than 0.

Required: To find the inverse of the given statement and state if it is true or false.

Explanation: The inverse of the statement will be-

A number is positive if and only if it is greater than 0.

p: A number is positive.

q: A number is greater than 0.

The statement is always true since a positive number is always greater than 0.

Now p and q both are true since any positive number is greater than 0 and any number greater than 0 is always a positive number.

Hence we can write

The inverse of the given statement is true.

Final Answer: Option D and Option F are correct.

The radius of the circle can be computed using the equation

The radius of the circle is provided in the problem, which is 10 cm. Just plug it in on the equation above and compute, we get

The exact answer is 100π square centimeters.

Given the equation:

Step 1: Factor -2 out of the variable terms

Step 2: Divide both sides by -2.