Graphs of functions on the interval [−4, 4] are depicted below. For each function, find:
1) The domain

2) Zeros of a function (the values of x where the function is zero)

3) Intervals where the function is positive and intervals where it is negative

Answer:

A) 216

Step-by-step explanation:

216 has the greatest value

5). Radius = 6 km. Circumference = 12π km. Area = 36π km²

6). Diameter = 8 mm. Circumference = 8π mm. Area = 16π mm²

Answers:

1. Circumference=12 pi on

Area=36 pi km^2

2. Circumference=8 pi mm

Area=16 pi mm ^2

Please see theattachedpicturefor full solution

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Good luck on your assignment

Answer:

8 weeks

Step-by-step explanation:

$2100 - $900 = $1200

$1200/$150 = 8 weeks

Answer:

7.5 squared units

Step-by-step explanation:

[tex]b_1 = 4\: units, \:\: b_2 = 1 unit \:\: h = 3 \: units \\

Area\: of \:Trapezoid = \frac{1}{2} \times (b_1 + b_2) \times h \\ \\ = \frac{1}{2} \times (4 + 1) \times 3 \\ \\ = \frac{1}{2} \times 5 \times 3 \\ \\ = \frac{1}{2} \times \times 15 \\ \\ = 7.5 \: {units}^{2} [/tex]

Answer:

AC=BD

Step-by-step explanation:

Answer:

-3x - 2 = -20

Add 2 on both sides

-3x=-18

Divide by -3 on both sides

X=​6

Answer:

Step-by-step explanation:

-3x - 2 = -20

Add  2 to both sides

-3x - 2 + 2 = - 20+ 2

-3x = -18

Divide both sides by (-3)

[tex]\frac{-3x}{-3}=\frac{-18}{-3}[/tex]

x = 6

Answer:

10100=15700(1-0.075)^x

10100=15700(0.925)^x

divide both sides by 15700

0.925^x=101/157

convert decimal

(37/40)^x=101/157

take the log

x= log 37/40 (101/157)

x= 5.65824

It will take almost 6 years to depreciate the value of the car to 10100 dollars.

Hello!

[tex]\boxed{ \bf The~volume~of~the~figure~is~186.7~km^3.}[/tex]

___________________________________________________

We must use a certain formula to find the volume. The formula is:

V = [tex]\frac{lwh}{3}[/tex]

Substitute the values:

V = (10 × 7 × 8) ÷ 3

V = [tex]\frac{560}{3}[/tex]

V = 186.7

Answer:

1.y−7=3(x+3)

2.y=3x+16

Step-by-step explanation:

use point-slope formula to find the slope and plug it into the equation

y-y₁=m(x-x₁)

slope= -[tex]\frac{y2-y1}{x2-x1}[/tex]

plug in the value of x and y from both  of the coordinates into this equation and then use one set of points and slope to get your equation

Answer:

Step-by-step explanation:

third side is <11+9 or <20cm

or >11-9 or >2

so third side=15 cm

Let x be the sale.

Then 500+.05x>1500

.05x>1500-500

.05 x>1000

x>$2000

minimum sale=$2000

Answer:

Length of Third Side = 15 cm,

Steve Sold More than $ 20,000

Step-by-step explanation:

1 . Consider the Triangle Inequality Theorem, as to solve for the length of the third side;

[tex]Triangle Inequality Theorem -\\\\| a - b | < c < a + b,\\| c - a | < b < c + a,\\| c - b | < a < c + b,\\\\Say, a = 11 cm, b = 9 cm, c = 20 -\\\\11 - 9 < 20 < 11 + 9,\\20 - 11 < 9 < 20 + 11,\\20 - 9 < 11 < 20 + 9\\\\As 20 = 20, not 20 < 20 -\\Conclusion ; Length of Third Side = 15 cm[/tex]

2 . Consider c - commission $;

[tex]5percent - FractionForm, -\\5 / 100 - Simplified -\\1 / 20,\\[/tex]

[tex]Inequality - 500 + 1 / 20 * c > 1,500,\\500 + 1 / 20 * c > 1,500 =\\1 / 20c > 1,000,\\c > 20,000 -\\Conclusion ; Steve Sold More Than 20,000 Dollars[/tex]

Answer: The outcome of spinning a spinner with five equal outcomes

Step-by-step explanation:

The discrete random variable that could be represented by a  probability histogram whose bars are all the same height is;

Option C; The outcomes of spinning a spinner with five equal sections

The probability histogram is a type of histogram whereby the height of each bar shows the true probability of each outcome of a specific number of trials.

Now, let us look at the options;

Option A; This cannot be represented by a probability histogram because it doesn't show probability.

Option B; This cannot be represented by a probability histogram because it shows just ages and doesn't show probability.

Option C; This can be be represented by a  probability histogram because it shows the probability of each outcome of spinning five equal sections.

Option D; This cannot be represented by a probability histogram because it should show the probability of each outcome and not just that of one weighted die.

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Answer:

1+12x or

13

Step-by-step explanation:

If the x is an expression then

4+ (-3) - 2x (-6)

remove first parenthesis

4-3-2x(-6)

2 negatives = a postive

4-3+2x*6

multiply

4-3+12x

substract

1+12x

4+ (-3) - 2x (-6)

remove first parenthesis

4-3-2*(-6)

multiply

4-3+12

substract

1+12

add

13

Answer:

a) 63°

b) 600ft

Step-by-step explanation:

To solve the above question, we would be using Trigonometric function

a) Find (to the nearest whole degree)

the angle with the horizontal at

which the balloon rises.

This above question a is a right angled triangle that is solved for using Trigonometric function of tan

From the question, we told that,

Vertical distance ( opposite side) = 10 feet

Horizontal distance ( adjacent side) = 5 feet.

Tan θ = opposite side/ adjacent side

Tan θ = 10/5

Tan θ = 2

θ = arc tan (2) or tan -¹(2)

θ = 63.434948823°

θ = 63°

The angle with the horizontal at

which the balloon rises to the nearest whole degree is 63°

b) find (to the nearest 10 feet) its

distance from the starting point

after one minute.​

Distance = Speed × time

Time is given in the question as 1 minute

We would convert it to seconds = 60 seconds

We are told in the question that the balloon rises vertically at the speed of 10ft/s

Distance = 10ft/s × 60seconds

Distance from the starting point per minute = 600ft

Answer:

Step-by-step

Let the given number be n>2.

For n even, n2+((n/2)2–1)2=((n/2)2+1)2.

For n odd,  n2+((n2–1)/2)2=((n2+1)/2)2

use the forumla to find u r answer

standard form of a pythagorean triplet is 2m, m²+1, m²-1

let us take 2m as 36. so

2m=36, m=36/2

therefore m=18

m²+1  =18²+1   = 324+1   =325

m²-1   =18²-1    = 324-1    =323

therefore  36,325,323 form a pythagorean triplet.

For checking, 36²+323² should be equal to 325²

Tell me if this was helpful....

Answer:

D

Step-by-step explanation:

Subtraction

Answer:

C. 60°

Step-by-step explanation:

Read the marking on the protractor.

Hope it helps

Good luck on your assignment

Answer:

The first one!

Step-by-step explanation:

1/4*1/4*1/2*= 1/32

I am not sure, but I hink it is C!

Answer: It’s A. 254,196.86

Step-by-step explanation:

Answer:

He had nowhere to go,and he had to prove his bloodline to Echidna,and she called him a coward. He wanted Poseidon to help him.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

1, 5, 25

Answer:

⠀⠀⠀⠀Volume = 22/7 × 6 × 6 × 6

⠀⠀⠀⠀Volume = 678.857 in³

Answer:

x=5    x = -3

Step-by-step explanation:

-7 / ( x^2 -2x -15)

Factor the denominator

-7

----

(x-5) ( x+3)

The excluded values are when the denominator is equal to zero

(x-5) (x+3) =0

x-5 =0   x+3=0

x=5    x = -3

Hi! here's your answer!ヾ(￣▽￣)

Step-by-step explanation:

Your answer is 18 ounces of romaine lettuce!

Have a nice day/night~   (｡･∀･)ﾉﾞ

The correct option is 18 ounces. The weight of romaine lettuce in salad mix container is 17.28 ounces.

Given to us:

iceberg = 40%

romaine = 27%

spinach = 15%

arugula = 12%

carrots = 6%

The total weight of salad mix container = 64 ounces

Romaine lettuce the container have is 27% of the total weight of salad mix container Dominic buys. Therefore,

weight of romaine lettuce in salad mix container,

= 27% of the total weight of salad mix container

= 27% of 64 ounces

= [tex]\dfrac{27\times 64}{100}[/tex]

=17.28 ounces

Hence, the weight of romaine lettuce in salad mix container is 17.28 ounces.

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Answer:

See explanation

Step-by-step explanation:

[tex](x^2+9x+10)(x-2)= \\\\x^3-2x^2+9x^2-18x+10x-20= \\\\x^3+7x^2-8x-20[/tex]

Jimmy is incorrect.

Using long division, you can find that the real answer.

First, subtract [tex]x^2(x-2)[/tex] from the original expression, leaving you with [tex]9x^2+2x-40[/tex].

Next, subtract [tex]9x(x-2)[/tex] from the expression, leaving you with [tex]20x-40[/tex]. Finally, subtract [tex]20(x-2)[/tex] from the expression, leaving you with a remainder of 0. This means that the real quotient is [tex]x^2+9x+20[/tex]. Hope this helps!

Answer: 112 meters

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Replacing with the values given :

842,411 = π x r ² x 85

Solving for r:

842,411 / (π x 85) = r²

3,154.67 = r²

√3,154.67 = r

56.16 m = r

Finally, we have to multiply the radius by 2 to obtain the diameter:

56.16 x 2 = 112 meters

Feel free to ask for more if needed or if you did not understand something  

Answer:

206.4

Step-by-step explanation:

we multiply 8.6*24 and get 206.4

we know this because 1 gallon is equal to 8.6 so we multiply both quantities and get 206.4

Answer:

11042

Step-by-step explanation:

since it says "in all" that means u have to add them up

6,836 + 4,206 = 11,042

The airplane's acceleration is 6m/s^2

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

27/36.

Step-by-step explanation:

By definition, the tangent function is defined as the ratio of the side opposite to the angle to the side adjacent to the angle (opp/adj).

From angle C, the opposite side is 27, and the adjacent side is 36. We can say that tan C = 27/36.

Answer:

Luis, because his sample is taken from the population of all seventh graders. However, Samanthan has the advantage of having a bigger sample, and that makes it more representative.

Taking the sample of the library as Samantha did, is biased, because most of the students there is checking a book, and the aim of the study is not only the ones that use the library, but in general the seventh grade students.

Step-by-step explanation:

Answer:

a

Step-by-step explanation: