A cyclist travels 15 miles in 45 minutes.
What is his average speed in mph?

Step-by-step explanation:

its C. cause if f -g is equal to positive 4

Option B → (f - g)(x) = [tex]$2x^{3} +5x^{2}[/tex] - 8x - 4  is correct.

We have the following functions -

f(x) = [tex]2x^{3} +5x^{2} -6x-7[/tex]

g(x) = 2x - 3

We have to determine (f - g)(x).

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

According to the question, we have -

f(x) = [tex]2x^{3} +5x^{2} -6x-7[/tex]

g(x) = 2x - 3

Now -

(f - g)(x) = {[tex]$2x^{3} +5x^{2} -6x-7[/tex] - (2x - 3)}

(f - g)(x) = {[tex]$2x^{3} +5x^{2}[/tex] - 6x - 7 - 2x + 3}

(f - g)(x) = [tex]$2x^{3} +5x^{2}[/tex] - 8x - 4

Hence, Option B → (f - g)(x) = [tex]$2x^{3} +5x^{2}[/tex] - 8x - 4  is correct.

To solve more questions on Combination of functions, visit the link below -

https://brainly.com/question/14026860

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Step-by-step explanation:

surface area if pyramid=area of base+combined area of lateral faces.

area of base=8×8=64

combined area if lateral faces=area of one triangle:area=base×height

=8×12=96

Total surface area=64+96

=160m square

Answer:

SA = 254

Step-by-step explanation:

Equation for a Pyramid (Surface Area) is : 2bs + b^2

2(8)(12) + [tex]8^{2}[/tex] =

16 (12) = 192 and 8^2 = 62

192 + 62 = 254

I hope I helped ;)

Answer:

8+24b

Step-by-step explanation:

Answer:

2(12b+4)

Step-by-step explanation:

-2(-7b-4)+10b : Rearrange the expression

2 : Find the greatest common factor of the terms.

-2(-7b-4)+10b : Focus on

2(7b+4+5b) : Factor out the greatest common factor

2(12b+4) : Simplify

Hope that helps

Answer:

Step-by-step explanation:

i think its  C? dont take my word for it

Answer:

Mr.Walters car can go 15 miles on one gallon of gas.

Step-by-step explanation:

To find this, you first want to put it into a ratio.

480:32

Next, you want to divide.

480/32

After you divide, you get 15. That tells you that you get 15 miles off of one gallon of gas.

Answer:

15 miles

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x+3y=-4

-x+y=4  /*2

2x+3y=-4

-2x+2y=8

5y=4

y=4/5

x=y-4=4/5-4= - 3.2

Answer:

the answer is axis of symmetry

Step-by-step explanation:

symmetry technically means perfectly in half. one side is the same as the other.

Answer:

y = -2

Step-by-step explanation:

You substitute 2 as x, y = 6 - 4 * 2, which is y = 6 - 8 = -2.

Answer:

A. binary fission

Step-by-step explanation:

Escherichia coli is a prokaryotic bacterium. Escherichia coli reproduce asexually by binary fission. While Escherichia coli is undergoing binary division, the process starts with elongation of the cell. Two similar copies of the bacteria is then replicated followed by the formation of a septum.

Answer: y=-3x+5

Step-by-step explanation:

The slope intercept form is y=mx+b

Substitute m and b

Answer:

what?? what is your question

Step-by-step explanation:

Answer: 1.2

Step-by-step explanation: Simply divide 18 by 15, and you will get 18/15=1.2

Answer:

It is 9√3 and in decimal form it's 15.58845726

Step-by-step explanation:

Answer:

[tex]\sqrt{28} = 2\sqrt{7}[/tex]

[tex]\sqrt {500} = 10 \sqrt {5[/tex]

[tex]\sqrt {162} = 9 \sqrt {2[/tex]

Step-by-step explanation:

Given (Correct Parameters)

[tex]\sqrt {28[/tex]

[tex]\sqrt {500[/tex]

[tex]\sqrt {162[/tex]

Required

Express in simplified form

[tex]\sqrt {28[/tex]

Express 28 as 4 * 7

[tex]\sqrt{28} = \sqrt{4} * \sqrt{7}[/tex]

Take positive square root of 4

[tex]\sqrt{28} = 2 * \sqrt{7}[/tex]

[tex]\sqrt{28} = 2\sqrt{7}[/tex]

[tex]\sqrt {500[/tex]

Express 500 as 100 * 5

[tex]\sqrt {500} = \sqrt {100} * \sqrt {5[/tex]

Take positive square root of 100

[tex]\sqrt {500} = 10 * \sqrt {5[/tex]

[tex]\sqrt {500} = 10 \sqrt {5[/tex]

[tex]\sqrt {162[/tex]

Express 162 as 81 *2

[tex]\sqrt {162} = \sqrt {81} * \sqrt {2[/tex]

Take positive square root of 81

[tex]\sqrt {162} = 9 * \sqrt {2[/tex]

[tex]\sqrt {162} = 9 \sqrt {2[/tex]

Answer:

$7,562.5

Step-by-step explanation:

Given the function of the profit earned expressed as;

f(p) =-40p^2+1100p

To maximize the profit, df(p)/dp must be sero

df(p)/dp = -80p + 1100 = 0

-80p + 1100 = 0

-80p = - 1100

p = 1100/80

p = 13.75

Substitute p = 13.75 into the function

f(13.75) =-40(13.75)^2+1100(13.75)

f(13.75) = -7,562.5+15,125

f(13.75) = 7,562.5

Hence the symphony should charge $7,562.5 to maximize the profit.

Answer:

A=0 B=7 C=3 D=9 E=9 F=3 G=1 H=5 J=7 K=5

L=1

Step-by-step explanation:

Hope I helped!! :)

Sorry if it's wrong! :(

Pls mark brainliest if right!!!

Answer:

the original price is $7.89

the price on sale is $6.44

i hope this helps

Step-by-step explanation:

divide $12.88 by 2 to get the price of one of those comic books on sale which gives you $6.44

if you want the original price you just add $1.45 to $6.44 and then thats the price before the sale.

Answer:

100-20=80

80+ 6.75 = 86.75

139/100 X 86.75 = 120.5825

$120.58

Answer:

to get rid of the 3 on the x you have to divide it by 3. whatever you do to one side you have to do to the other side so the answer would be x=8

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

To get the variable alone you would divide both sides by 3. You do this because 3 is a common factor that both 3 and 24 have. Once you divide 3 on each side, you have x = 8 as your final answer.

Answer:

what are the valus of a and b

Step-by-step explanation:

Answer:

the answer is 5 I had to have 20 characters So imma put this

START

Step-by-step explanation:

its 5 units

Answer:

Answer:

46^2+b-2/4b+5

2116+b-2/4b+5

=2114+b/4b+5

Step-by-step explanation:

Are you good at surfing? Is it similar to skateboarding?

Answer:

ur not wrong tho dang bcs those are like our main emotions sad and mad

You need happiness for your mental health!

Answer:

8736

Step-by-step explanation:

The LCM of 156 and 224

First find the highest common factor between the two number

156 = 4 * 39

224 = 4 * 56

Since 4 is the highest common factor between both numbers, the LCM of 156 and 224 will be the product of the highest common factor and the other multiples that are left when the numbers are divided by the highest common factor.

As such, the LCM of 156 and 224

= 4 * 39 * 56

= 8736

Answer:

8736

Step-by-step explanation:

The LCM of 156 and 224

First find the highest common factor between the two number

156 = 4 * 39

224 = 4 * 56

Since 4 is the highest common factor between both numbers, the LCM of 156 and 224 will be the product of the highest common factor and the other multiples that are left when the numbers are divided by the highest common factor.

As such, the LCM of 156 and 224

= 4 * 39 * 56

= 8736

Answer:

y = -3x -2

Step-by-step explanation:

-2 is the y intercept

Answer:

Katrina would need to buy 20 sweatshirts.

Step-by-step explanation:

The number of sweatshirts Katrina would need to order from  each company can be determined by forming the linear equation in two variables.

Given :

Let the number of sweatshirts orders from company MH Designs be 'x' and the number of sweatshirts orders from company Print Rich be 'y'.

So, the cost for ordering the sweatshirt from the company MH Design is:

[tex]21.50x = c[/tex]

Now, the cost for ordering the sweatshirt from the company Print Rich is:

18y + 70 = c'

Given that the number of sweatshirts Katrina would need to order from  each company for the costs to be the same. So :

21.5x = 18y + 70

Now, put the value of x and y so, that in the above equation, both sides become equal.

For more information, refer to the link given below:

https://brainly.com/question/2263981

Step-by-step explanation:

angles in a triangle add up to 180degree