The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function? The domain is all real numbers. The range is {y|y < 16}. The domain is all real numbers. The range is {y|y ≤ 16}. The domain is {x|–5 < x < 3}. The range is {y|y < 16}. The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}.

[tex]\text{Hey there!}[/tex]

[tex]\text{The mean is when you add up ALL your numbers then divide by the number}[/tex] [tex]\text{of numbers in the equation}[/tex]

[tex]\text{5+5+5+7+7=15+14=29}[/tex]

[tex]\text{We have 5 terms in this equation so divided 29 from 5}[/tex]

[tex]\bf{29\div5=5.8}[/tex]

[tex]\boxed{\text{Mean: 5.8}}\checkmark[/tex]

[tex]\text{Median is the middle number of the set of numbers}[/tex]

[tex]\boxed{\text{Median: 5}}\checkmark[/tex]

[tex]\text{Mode is when you see a number MORE THAN ONCE}[/tex]

[tex]\text{You see 5 three times but the 7 twice, so this will make it tricky to answer}[/tex]

[tex]\text{Since, you see 5 three times.. it could be your mode}[/tex]

[tex]\boxed{\text{Mode: 5}}\checkmark[/tex]

[tex]\text{Range is when subtract the HIGHEST NUMBER from the LOWEST NUMBER}[/tex]

[tex]\text{7-5=2}[/tex]

[tex]\boxed{\text{Range: 2}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

30% of 200 equals 60.

Step-by-step explanation:

There is a formula we use to this specific type of problem. It's called the rule of 3.

30% - 60

100% - x

(60 * 100) / 30 =

6000 / 30 =

200

Step-by-step proof:

To prove our answer, what me must do is use another formula:

(200 * 30) / 100 = 60

6000 / 100 = 60

60 = 60

↑ Both numbers are equal (equation is true), therefore, our solution is correct.

Hope it helped,

BiologiaMagister

Final answer:

Lorne subtracted the polynomial 6x³ − 2x + 3 from − 3x³ + 5x² + 4x − 7 by changing the signs of the second polynomial and combining like terms, resulting in the difference − 9x³ + 5x² + 6x − 10.

Explanation:

To find the difference between two polynomials, we subtract the corresponding terms of the second polynomial from the corresponding terms of the first. In the given problem, Lorne subtracted 6x³ − 2x + 3 from − 3x³ + 5x² + 4x − 7. To do this, we change the signs of the polynomial being subtracted and then combine like terms.

First, we write the problem with the second polynomial's signs changed: − 3x³ + 5x² + 4x − 7 - (6x³ − 2x + 3).

Next, we distribute the negative sign: − 3x³ + 5x² + 4x − 7 - 6x³ + 2x - 3.

Finally, we combine like terms: (− 3x³ − 6x³) + (5x²) + (4x + 2x) + (− 7 − 3).

The resulting difference is − 9x³ + 5x² + 6x − 10.

Answer:

The correct option is B.

Step-by-step explanation:

The given functions are

[tex]f(x)=x^2[/tex]

[tex]g(x)=\frac{3}{4}x^2[/tex]

It can be written as

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

The vertical stretch and compression is defined as

[tex]g(x)=kf(x)[/tex]                  .... (2)

If k>1, then it represents vertical stretch by factor a.

If 0<k<1, then it represents vertical compression by factor a.

From (1) and (2), we get

[tex]k=\frac{3}{4}[/tex]

Since k<1, therefore he graph of g(x) is the graph of f(x) compressed vertically by a factor of 3/4.

Hence the correct option is B.

Answer:

Step-by-step explanation:

If a ≤ b < c are the length of the sides of a right triangle, then

a² + b² = c².

We have:

a =30 ft, b = 40 ft and c = 50 ft.

Check the equality:

L = 30² + 40² = 900 + 1600 = 2500

R = 50² = 2500

L = R

Answer:

Therefore, x =  [tex]\frac{2291}{990}[/tex].

Step-by-step explanation:

Given : 2.314 (14 repeating) .

To find : Express as a fraction .

Solution : We have given  2.314 (14 repeating) .

Let x = 2.31414141.......

On multiplying both sides by 100

100x = 100 * 2.31414141....

100x = 231.414141......

We can express 231.414141...... in term of x .

100x = 229 .1 +  2.31414141.......

100x = 229.1 +x

On subtracting both sides by x .

100 x -x = 229 .1

99x = 229.1

On dividing both sides by 99

x= [tex]\frac{229.1}{99}[/tex].

x =  [tex]\frac{2291}{990}[/tex].

Therefore, x =  [tex]\frac{2291}{990}[/tex].

The repeating decimal 2.3141414... expressed as a fraction is [tex] \frac{2291}{990} [/tex]

The decimal given : 2.3141414

Let :

Since only the 14 keeps repeating :

Multiply (2) by 100

1000x - 10x = 2314.1414 - 23.1414

990x = 2291

Hence, 2.31414...expressed as a decimal is [tex] \frac{2291}{990} [/tex]

Learn more : https://brainly.com/question/15406832?referrer=searchResults

Answer:

-308

Step-by-step explanation:

[tex](3+5^2)(5-4^2)[/tex]

[tex]28(5-4^2)[/tex]

[tex]28(-11)\\[/tex]

[tex]-308[/tex]

Hope that helped!

Answer:

1 foot.

Step-by-step explanation

That is not the correct formula.  Correct is  V^2 = 2gh  where h = the height

so the equation is:

8^2 = 2*32* h

h = 64/ 64 = 1 foot.

Answer:

[tex]h=\frac{1}{8} feet[/tex]

Step-by-step explanation:

In order to be able to solve this problem you just have to clear the formula for height:

V=2gh

[tex]\frac{V}{2g}=H[/tex]

[tex]\frac{8}{64}=H[/tex]

[tex]\frac{1}{8}=H[/tex]

So the height from which the hammer is dropped is 1/8 feet.

n - ( -8 ) = 15

n + 8 = 15

n = 15 - 8

n = 7

The answer is:

n = 7

Answer(6,1)

Step-by-step explanation:

you need to use the midpoint formula

Hello There!

131 rounded to the nearest 10 or

the tens place is 30

It is 130.

Rounding down because it is lower than 5.

Hope this helps! The

Answer:

(x – h)2 + (y – k)2 = r2

Step-by-step explanation:

If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle  the equation of the new circle

(x – h)2 + (y – k)2 = r2

Based on Pythagorean theorem, and the location of the center of the

circle, (h, k), the equation of the circle is represented by the option;

The general form of the equation of the circle is (x - h)² + (y - k)² = r²

Where;

(h, k) = The center of the circle

r  = The radius of the circle

A description of the equation of the circle is as follows;

With regard to a location on the edge (circumference), of the circle, (x, y),

where, the center of the circle is (h, k), by Pythagorean the sum of the

square of the length of the horizontal side, (x - h), and the square of the

vertical side (y - k), of the right triangle formed gives the square of the

radius of the circle.

Therefore, the equation of the new circle can be represented by the equation;

The above equation is the general form of the equation of a circle.

Learn more about the equation of a circle here:

https://brainly.com/question/20863621

Answer:

Step-by-step explanation:

There is no given equation, so it is impossible to figure this out. I apologize.

Answer: I was told the third option

Step-by-step explanation:

For this case we have by definition that a monomial is the product of a known number (called coefficient) by one or several unknown values, represented by letters (literal part or variables).

If there were a sum or subtraction, it would be a binomial.

Examples of monomial:

[tex]5x ^ 7 * y ^ 2[/tex]

Then, according to the above, the correct option is option C.

Answer:

Option C

Answer:

[tex] - \frac{8}{15} \times \frac{20}{64} = - \frac{8}{15} \times \frac{5}{16} = - \frac{1}{6} [/tex]

Answer:

Jur's car

Step-by-step explanation:

Jur's car's mileage= 340/12=28.3333333333

Jack's car's mileage=390/16=24.375

brainliest if you are satisfied plz

Answer:

Jur 28 1/3 miles per gallon

Step-by-step explanation:

To find the miles per gallon, take the miles driven and divide by the gallons used.

Jur:  340/12 =28.333333 miles per gallon

Jack :  390/16 = 24.375 miles per gallon

Jur has better gas mileage because his number is higher

Answer:

8800 ft apart

Step-by-step explanation:

1). Convert miles to feet.  6 2/3 x 5280 = 35200

2). Divide by 4.  35200/4 = 8800

Answer:

{(1, 6.7) , (2, 6.4) , (3, 6.1)}

Step-by-step explanation:

A watering can dispenses water at the rate of 0.3 gallon per minute.

The original volume of water in the can was 7 gallons.

If you plot a graph of volume of water in the can (gallons) against time (minutes),

The set of points on the graph will be:

After 1 minute: (1, 7 - 0.3) = (1, 6,7)

After 2 minutes: (2, 7 - 0.6) = (2, 6.4)

After 3 minutes: (3, 7 - 0.9) = (3, 6.1)

i.e the set {(1, 6.7) , (2, 6.4) , (3, 6.1)}

Gavin's analysis of a game's zombie population growth involves understanding the concept of exponential growth, characterized by a fixed percentage increase over time, and the eventual transition to logistic growth as resources become limited.

The scenario presented involves an analysis of exponential growth, which is a typical mathematical concept found within algebra and applied mathematics.

Gavin's analysis of the game app, which features a starting zombie population of 50,000 that grows at a rate of 5% per level, allows us to examine how the population changes as players advance through the levels.

Exponential growth is characterized by a constant rate of growth applied to a continuously growing base over time.

In the case of the example town mentioned, we learn that exponential growth can lead to doubling populations and that the rule of 70 is a shortcut to estimate the number of years required for a population to double at a constant growth rate.

Specifically, if the town's population doubles every 10 years, this implies a growth rate of approximately 7% per year since 70 divided by the growth rate (7) equals the doubling time (10 years).

However, such unchecked exponential growth will eventually transition to logistic growth, especially when resources become limited, thus limiting the population size to a maximum capacity, known as carrying capacity.

In biology, this logistic growth curve begins with an exponential phase, followed by a slowdown, and eventually levels off at the carrying capacity.

Final answer:

The subject of this question is Mathematics and the grade is High School. Gavin is analyzing the success of a newly launched game app. The game takes place on an island that's been overrun with zombies. Each time a player advances to a new level, the population of zombies grows at a rate of 5%.

Explanation:

The subject of this question is Mathematics and the grade is High School.

In this question, Gavin is analyzing the success of a newly launched game app. The game takes place on an island that's been overrun with zombies. When a player is on level one of the game, the population of zombies is 50,000. Each time the player advances to a new level, that population grows at a rate of 5%.

To calculate the population of zombies at each level, we can use the formula:

By using this exponential growth formula, Gavin can analyze the growth of the zombie population as players advance through the levels of the game.

Answer:

A complex number is of type

a+bi

where a is the real parts and b is the imaginary part.

Step-by-step explanation:

A complex number is of type

a+bi

where a is the real parts and b is the imaginary part.

i is called imaginary number because no real number satisfies this equation

An example of complex number can be: 7+8i or 23+9i etc

Answer: [tex]a=2[/tex]

Step-by-step explanation:

We need to analize the information provided:

We know that this line passes through the point [tex](a,1)[/tex] where "a" is the  unknown x-coordinate of that point and 1 is the y-coordinate.

We know that the line also passes through the point (-1, -5) and the point (4, 5).

Then, in order to find the value of "a", we can plot the known points and draw the line (Observe the image attached).

You can observe in the image attached that the point whose y-coordinate is 1 is the point (2,1). Therefore, the value of "a" is:

[tex]a=2[/tex]

Answer:

D: 2

Step-by-step explanation:

Answer:

translate right 5, down 4translate right 5, down 4

Step-by-step explanation:

translate right 5, down 4:  Note that the x-coordinate 2 becomes 7, and that the y-coordinate 3 becomes -1.

Answer:

From (2,3) translate 5 to the right and 4 down to get (7,-1).

Step-by-step explanation:

(x,y)→(x+5,y−4)

(2,3)→(2+5,3−4)

(2,3)→(7,-1)

Hope this helps :)

*Pls mark my answer Brainliest*

Answer:

[tex]\large\boxed{-\dfrac{4}{3}\ and\ \dfrac{2}{3}}[/tex]

Step-by-step explanation:

[tex]f(x)=9x^2+6x-8\\\\\text{The zeros:}\\\\9x^2+6x-8=0\\\\9x^2+12x-6x-8=0\\\\3x(3x+4)-2(3x+4)=0\\\\(3x+4)(3x-2)=0\iff3x+4=0\ \vee\ 3x-2=0\\\\3x+4=0\qquad\text{subtract 4 from both sides}\\3x=-4\qquad\text{divide both sides by 3}\\\boxed{x=-\dfrac{4}{3}}\\\\3x-2=0\qquad\text{add 2 to both sides}\\3x=2\qquad\text{divide both sides by 3}\\\boxed{x=\dfrac{2}{3}}[/tex]

The answer is:

Darwin earned 4050 pesos

To solve the problem, first, we need to calculate the total quantity of corned beef, and then, calculate the total earning amount.

We have a box of corned beef one and half dozen cans, or 1.5 zones.

So, calculating we have:

[tex]TotalBeef=Dozen*1.5=12*1.5=18[/tex]

We have that there are 18 cans of corned beef per box, now, if he sold all the 5 boxes of corned in 45.00 pesos each, we have:

[tex]TotalEarning=Cans*45.00(pesos)=18*5*45.00pesos=4050(pesos)[/tex]

Hence, we have that Darwin earned 4050 pesos.

Have a nice day!

Answer:

Step-by-step explanation:width is 11 length is 13

Answer:

40

Step-by-step explanation:

x + (4x-20) = 180

5x - 20 = 180

5x = 200

x = 40

Answer:

the answer is 40

Step-by-step explanation:

the value of x and 4x -20 will be 180 degrees because it is a line and so you set the sum of those to 180 and solve for x

Answer:

P(2)=0.021942 approximately

P(2 or fewer)=0.02711 approximately

Step-by-step explanation:

[tex] P(x)=(n choose x) *p^x * q^{n-x} [/tex]

x is the number of successes desired

p is probability of getting a success per trial

n is the number of trials

q is 1-p

So n=15 and p=.4 here

And you want to know P(2) which means x is 2

Plug in this information

[tex] P(2)=(15 \text{ choose } 2) *.4^2 * .6^{15-2} [/tex]

Just plug into calculator...  P(2)=0.021942 approximately

For p(2 or fewer) you just do P(0)+P(1)+P(2)

I already found P(2)

You need to find P(1)

Once you get P(1), add that result to 0.021942.

Try to do part b and I will tell you if you got it right or not.

So P(2 or less) is P(0)+P(1)+P(2)

So to complete this we need to find P(1) and almost forgot P(0)...

We already have P(2).

P(0)=(15 choose 0) *.4^0*.6^(15-0)=0.00047

P(1)=(15 choose 1)  *.4^1 *.6^(15-1)=.004702

Now                                         P(2)=0.021942

                                                 --------------------------add these

0.027114 approximately

Answer:

f(x) = 20,000(0.85)*

Step-by-step explanation:

Answer: [tex]f(x)=20,000(0.85)^x[/tex]

Step-by-step explanation:

We know that the exponential decay (depreciation) equation with rate of decay r in time period x is given by :-

[tex]f(x)=A(1-r)^x[/tex], A is the initial value .

Given: The initial value of truck = $20,000

Rate of depreciation= 15% = 0.15

Now, the function represents the car's value after x years is given by ;-

[tex]f(x)=20,000(1-0.15)^x\\\\\Rightarrow\ f(x)=20,000(0.85)^x[/tex]

Answer:

b

Step-by-step explanation:

use formula of a^3-b^3

Answer:

D

Step-by-step explanation:

(3y - 7) (9y^2 + 21y + 49)

let me know if it's right

#platolivesmatter

Answer:

Step-by-step explanation:

it would depend on how many numbers are on the spinner like if their is 6 numbers on the spinner and if your trying to get a 4 then it would be 1/6.

Hope my answer has helped you!