If f(x) = 3x - 5 and g(x) = 7x + 2, what is (f*g)(x)?

Answers

Answer 1

Answer:

21x^2 -29x - 10

Step by step explanation:

Multiply each term of the first function with the terms of the other function:

(3x * 7x) + (3x * 2) + (-5 * 7x) + (-5 * 2)

(21x^2) + (6x) + (-35x) + (-10)

21x^2 + 6x - 35x - 10

Next, combine like terms. The first term is unalike the others, so it stays the same. The second and third terms in that equation are alike, so you can add them together and you get -29x. The last term is -10, which is not like any of the other terms, so it is unaffected. So you're left with 21x^2 -29x -10 as your product.


Related Questions

5. A mystery number has five digits. Use the clues to identify the mystery
number. (2 pts)
- No two digits are the same.
- The number in the tens place is ten times less than 90.
- The number in the ones place is equal to 50 - 10.
- The number in the thousands place is the sum of 6 and 2
· If you add all the digits, the total is 23
- The number is less than 20,000

Answers

Answer:

20000

Step-by-step explanation:

Solve for brainliest!
Igor’s summer job at the frozen yogurt shop paid him the following amounts in his first three days on the job (he got paid the same hourly rate every day).

Answers

Answer:

$9.50

Step-by-step explanation:

Answer: the unit rate is $9.50

and graph x to (0,0) and y to (1,9.5)

Step-by-step explanation:

PLEASE HELP PLEASE PLEASE HELP ME IMM MARK BRAINLIEST


If the graph of a function increases as x increases and decreases as
decreases, the degree must be____

Answers

Answer:

Odd

Step-by-step explanation:

The answer is odd since even powers does the opposite.

the exact diameter of a circle with a circumference of 39

Answers

2 π r = 39

r is the radius and this 2 π r is the formula for the circumference so I made it equal to the circumference given

rearrange:

r = 39/2 π
r = 6.21 ( 2 decimal places)

Nelson makes 6 quarts of lemonade. The ratio of pints to quarts is 2 colon 1.

Answers

Answer:

12:6, or 12 pints of lemonade

Ms. Haven recorded the number of homework assignments her students completed
and their test grades. Her findings are shown in the table. Which ordered pair is an
outlier in this data set?

Answers

Answer:

(6, 97) is the outlier.

Step-by-step explanation:

When we have a data set:

x: x₁, x₂, x₃, ..., xₙ

y: y₁, y₂, y₃, ..., yₙ

Each one of the pairs (x₁, y₁), (x₂, y₂), etc, is an ordered pair that belongs to the data set.

Usually, these values are distributed in some way that, we assume, is normalized. So if one of these ordered pairs is really different from the others, then that pair is called an "outlier".

In the data set, we have:

Number of homework completed vs Score assigned.

You can see that, as the number of homework completed increases, also does the score

For example, for the smaller number of homework completed, (5) the score is 67, the minimum score.

And as the number of homework completed reaches to 10, the score increases to 90 or 98.

But there is an outlier there, you can see that a student that only completed 6 times the homework, has a score of 97 (one of the largest scores) (this score is more than all the scores for the students with 6, 7, 8 and 9 completed homeworks) so we can conclude that this one is the outlier.

(6, 97) is the outlier.

I need answer Immediately!!!!!!!

Answers

The equation is 48.70=4.75x+1.20
The answer is x=10

Identify the MEDIAN among the following data set:

5, 6, 1, 0, 6, 4, 2, 19, 6, 1, and 3.

Answers

Answer:

4 & 2

Step-by-step explanation:

Median is the two middle numbers

Answer:

I think the answer should be 4

quick please
7.find the area of the shaded region of the rectangle:

Answers

Answer:

6x+2

-2x+1

=

4x+1

just find the area of each and subtract the non-shaded one from the shades area.

HELP M PLEASE HELP I NEED HELP BESTIE!!

Answers

✍️Answer:

[tex]y=|x-1|+1[/tex]

--------------------------

[tex]1 ~unit ~right~and ~1 ~unit ~up[/tex]

▭ ▭ ▭ ▭ ▭ ▭ ▭ ▭

hope it helps.. have a great day!!

the coordinates of point D are (-10, -3) and the coordinates for point G are (-2, -3). Where is point D in relation to point G?

Answers

Answer:  Choice C

Point D is 8 units to the left of point G

=================================================

Explanation:

Refer to the diagram below. I've graphed both points on the same xy grid. We can draw a horizontal line through points D and G to form a number line of sorts. Count the number of spaces along this number line to go from G to D. You should count 8 spaces to the left.

Effectively, this is the same as drawing a number line and plotting -10 and -2 on this number line. We only worry about the x coordinates of the two points since the y coordinates are the same (both are y = -3). Note how -10 is eight units to the left of -2 on the number line.

This week only, the local coffee shop is reducing the price of a cup of coffee from $3.00 to $2.28. By what percentage is the price reduced?

Answers

Answer:

31.6% decrease

Step-by-step explanation:

percent of change = difference between original and new values divided by the original value

n = % change

n = 0.72/2.28

n = .3157

n = 31.6%

A parabola has the focus at (4,6) and the directrix of Y equals -6

Answers

Answer:

y = (x-4)²

Step-by-step explanation:

vertex (h , k)

h = 4   .... axis of symmetry

k = (6 + -6) / 2 = 0  .... midpoint of focus and directrix

equation of parabola: y = (x-4)²       y = (x-h)² + k

Algebraic expression for 3 more than x

Answers

Answer:

For example, the phrase "3 more than an unknown number" becomes the mathematical expression "x + 3." Because the unknown number has no explicitly stated value, we label it with a variable x. To get a value three more than x, simply add 3 to it.

hope it helps ya mate. ~^~

Answer:

3 + x

Step-by-step explanation:

"More than" means addition. 3 more than x is saying 3 plus x. In an algebraic expression, this would look like:

3 + x

Will give brainliest for help with Geometry

Answers

Answer for first question:

tangent of P= 4/3

cosine of P= 3/5

sine of P= 4/5

Explanation:

tangent = opposite/ adjacent

cosine = adjacent/ hypotenuse

sine = opposite/ hypotenuse

2nd question: x=12

Explanation: When you have a 45-45-90 degree angle the hypotenuse will always be twice the base of the triangle and the longer leg will always be √2 times the base. Here you have the measurement of one of the longer sides- 6√2. Because we have this measurement, we know the base is going to be 6 and the hypotenuse, x, will be 12.

3rd question: cos y

Explanation: Let's give the triangle some measurements to make this easier.

The hypotenuse= 5.

The adjacent side of x= 3.

The opposite side of x= 4.

sine= opposite/ hypotenuse = sin x = 4/5

cosine= adjacent/ hypotenuse = cos x = 3/5

As you see, 3/5 and 4/5 are not equal, but when you try cos y and sin x. You will find that they are equal.

What are the x and y coordinartes of the point at 4pi/3

Answers

-12, /32 are the coordinates

Kirk made the graph to show his prediction of a population of bacteria over time. Which function best models the data in the graph?
mc001-1. jpg
mc001-3. jpg
mc001-2. jpg
mc001-4. jpg

Jana predicts that the population, y, will grow according to y = 12 log(x + 1) + 10, where x is the time in minutes. How much greater does Kirk’s model predict the population will be after 60 minutes than Jana’s model?
✔ greater by about 50 bacteria

Answers

Answer:

greater by about 50 bacteria

hope this helps,

T

Step-by-step explanation:

Populations can be modeled by exponential functions and logarithm functions.

Kirk's function is: [tex]\mathbf{f(x) = (10)2^{\frac{x}{20}}}[/tex]Kirk’s model predict the population will be greater than about 50 bacteria after 60 minutes than Jana’s model

Kirk's graph is an exponential function, and it is represented as:

[tex]\mathbf{y = ab^x}[/tex]

From the graph (see attachment);

x = 0, when y =10.

So, we have:

[tex]\mathbf{10 = ab^0}[/tex]

[tex]\mathbf{10 = a\times 1}[/tex]

[tex]\mathbf{10 = a}[/tex]

Rewrite as:

[tex]\mathbf{a = 10 }[/tex]

Substitute [tex]\mathbf{a = 10 }[/tex] in [tex]\mathbf{y = ab^x}[/tex]

So, we have:

[tex]\mathbf{y = 10(b)^x}[/tex]

x = 20, when y =20.

[tex]\mathbf{20 = 10(b)^{20}}[/tex]

Divide both sides by 10

[tex]\mathbf{2 = b^{20}}[/tex]

Take 20th root of both sides

[tex]\mathbf{b = 2^{\frac{1}{20}}}[/tex]

Substitute [tex]\mathbf{b = 2^{\frac{1}{20}}}[/tex] in [tex]\mathbf{y = 10(b)^x}[/tex]

[tex]\mathbf{y = 10(2^{\frac{1}{20}})^x}[/tex]

[tex]\mathbf{y = (10)2^{\frac{x}{20}}}[/tex]

Represent as function

[tex]\mathbf{f(x) = (10)2^{\frac{x}{20}}}[/tex]

So, Kirk's function is: [tex]\mathbf{f(x) = (10)2^{\frac{x}{20}}}[/tex]

When x = 60, we have:

[tex]\mathbf{f(60) = (10)2^{\frac{60}{20}}}[/tex]

[tex]\mathbf{f(60) = (10)2^3}[/tex]

[tex]\mathbf{f(60) = (10)8}[/tex]

[tex]\mathbf{f(60) = 80}[/tex] ---- Kirk's model

For Jana's model, we have:

[tex]\mathbf{y = 12log(x + 1) + 10}[/tex]

Substitute 60 for x

[tex]\mathbf{y = 12log(60 + 1) + 10}[/tex]

[tex]\mathbf{y = 12log(61) + 10}[/tex]

Using a calculator, we have:

[tex]\mathbf{y \approx 31}[/tex] --- Jana's model

Calculate the difference between both models

[tex]\mathbf{d = 80 - 31}[/tex]

[tex]\mathbf{d = 49}[/tex]

Approximate

[tex]\mathbf{d \approx 50}[/tex]

Hence, Kirk’s model predict the population will be greater than about 50 bacteria after 60 minutes than Jana’s model

Read more about population models at:

https://brainly.com/question/8993571

what's the answer ?

[tex] \sqrt{36 \times 9} [/tex]

Answers

Answer:

36/2=18

18/2=9

9/3=3

3/3=1

List out the factors used: 2, 2, 3 & 3.

Pick one out of pairs of factors available: 2 & 3.

Multiply them: 2×3 = 6

6 is the square root of 36.

Step-by-step explanation:

hope it helps

please mark brainliest

If bookshelf A is 6 feet long and bookshelf B is 8 feet long, what is the length of bookshelf C?
A.14
B.12
C.16
D.10
Help me please

Answers

Answer:

3.5 feet = 3 feet 6 inches

3 * 12 = 36

36 + 6 = 42 inches long

42 / 5/8 → 42 * 8/5 = 42*8/5

336 / 5 = 67.2

We can't put up part of a book, so we can fit 67 books.

Step-by-step explanation:

im struggling and need help fast please show work and tell me how to do it. no links
-22.8 = 6n check your solution

Answers

Answer:

-3.8=n

Step-by-step explanation:

My goal is to get n all by itself, but its multiplied by 6. If I do the inverse operation (which is division) on both sides I will get -22.8/6=n. Now I can just simply combine the like terms and finalize my answer. 6 * 3=18 but -22.8 is a decimal number so my answer will range from around 3.5-3.9. if I divide -22.8/6 I get -3.8. My final answer is n=-3.8

how to find the degree in the polynomial

Answers

Answer:

To find the degree of the polynomial you need to add up the exponents of each term and pick the highest sum.

make sure answer is in degrees.

sin^-1(sin 17°)

Answers

Answer:

uhm 0 degrees

Step-by-step explanation:

The value of the inverse trigonometric expression sin⁻¹(sin 17°) will be 17°.

What is inverse trigonometry?

Simply put, inverse trigonometric operations are the opposites of the fundamental trigonometric parameters sine, cosine, secant, cosecant, tangent, and cotangent.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The inverse trigonometric expression is given below.

⇒ sin⁻¹(sin 17°)

We know that the value of sin⁻¹(sin θ) is θ.

Then the value of the inverse trigonometric expression will be

⇒ sin⁻¹(sin 17°)

⇒ 17°

Thus, the value of the inverse trigonometric expression sin⁻¹(sin 17°) will be 17°.

More about the inverse trigonometry link is given below.

https://brainly.com/question/20595059

#SPJ2

Find the mean of the data Length (millimeters) of seeds 6, 4.5, 7.6.7.5.6​

Answers

Step-by-step explanation:

you need to put it in least to greatest

then you add all of the numbers together then divide by 5

Answer:

mean=6‚4.5,7.6.7.5.6

Step-by-step explanation:

=6

Um..Please help me with this...

Answers

Answer:

2,1  4,2  6,3  8,4  10,5  12,6  14,7  16,8  18,9  20,10  etc.

Step-by-step explanation:

help me i need help will mark brainliest

Answers

Answer:

C

Step-by-step explanation:

i am smart

Answer:  -3? i think..

Step-by-step explanation:

Could someone please answer this, and give an explanation. So I can fully understand it.

Answers

So the graph shows the cost of the phone call on the y-axis and the length of the phone call on the x-axis.
The question ask is what is the least expensive per minute.
So your equation is cost/time.
Then you plug in the values of each point.
w=$1.25/2 minutes
x=$2/5 minutes
y=$2/10 minutes
z=$2.50/10.5 minutes
Solve each question-
w=0.63 (rounded)
x=0.4
y= 0.2
z=0.24 (rounded)
These values show the cost per minute of each point. So, in order the answer the question which one cost the least per minute you would select the lowest value answer from the question of each point. Which would be y.

Prove this polynomial identity

Answers

Answer:

[tex] {(x - y)}^{2} = (x - y)(x - y) \\ = ( {x}^{2} - xy - xy + {y}^{2} ) \\ = ( {x}^{2} - 2xy + {y}^{2} )[/tex]


Margaret is saving money for her summer vacation. She calculates that her starting amount is 0.4% of the total amount she wants to save. What is 0.4% written as a decimal?

Answers

0.004 is the answer your looking for

Help me plz and thank you

Answers

[tex]1) \: 21 + 35.[/tex]

[tex]2) \: 5.[/tex]

Answer:

21 + 355

Step-by-step explanation:

1.

To expand the expression 7(3+5), multiply 7 into the numbers in the blanket. That means 7×3 + 7×5 = 21 + 35.

2.

It's the result of the expression on the right. It's 5 because 5(3-2) = 5×3 + 5×2 = 15 - 10.

Kareem ate an apple that had a mass of about 140 ?

A)grams

B)kilograms

Answers

Answer:

grams

Step-by-step explanation:

140 kilograms would be the mass of more than a car.

Other Questions
I need Answer Immediately!!!!!!!!! How are the graphs of y = sin(x) and y = sin(x - 8) related? *There is a vertical shiftThere is a change in the period of the functionThere is a horizontal shiftThere is a change in amplitude whats the surface area of the figure? have a good day Si tienes que elegir la energa de las represas hidroelctricas y la energa elica. Cul crees que sera ms saludable para el planeta? Por qu? Help SOLVE THE PROBLEM. WILL CHOOSE BRAINLIEST S+S+8+12=38 Find the arc length Consider this reaction and answer the questions: Upper K upper C l upper O subscript 3 right arrow upper K upper C l plus upper O subscript 2.What is the oxidation number of chlorine in the reactant state? What is the oxidation number of oxygen in the reactant state? What is the oxidation number of potassium in the reactant state? What is the oxidation number of chlorine in the product state? What is the oxidation number of oxygen in the product state? What is the oxidation number of potassium in the product state? Identify which part of a circle the following is point BACenter PointBPoint of TangencyHPointDNone of these optionsAFE In Los Angeles, California, does the Retro Game Camp reopen? how can you bring awareness to endangered animals to try and help save them from extinction? How can you get others to care and participate.? Which term would ,begin emphasis,most,end emphasis, likely be used when measuring circles?Answer options with 4 options would someone be willing to help me with a french portfolio ? just asking Someone walked%s the length of this roomthen walked backward 4 the length of thisroom before walking forward / the lengthof the room and hiding the key there. Howfar across the room (as a fraction) is thekey? Use a "/" as a fraction bar in youranswer. Match each analogy to the type of word relationship it illustrates. part-to-whole relationship item-category relationship cause and effect relationship Monday : weekday Saturday : weekend arrowRight cut : bleed burn : irritate arrowRight tail : mouse scale : crocodile arrowRight What percent of the people surveyed had a phone bill $40-$79 or $120-$159?Question 11 options:100%25%50%0% El tango es un gnero de msica que es una mezcla de ritmos de origin africano, italiano y espaol. True False Solve using quadratic equation by factoring.x^2-9x=-14 A square pyramid has a slant height of 15 cm. A side length of the base is 20 cm. What is the surface area of the pyramid? Enter your answer in the box. Answer in cm Which two viral characteristics provide evidence to support theargument that viruses are more similar to living components than tononliving components of an ecosystem? Assess It!#2Which image bestrepresents the location ofthe Sun in the Milky Waygalaxy?