Answer:
(f · g)(x) = 4x³ + x² - 20x - 5
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
f(x) = 4x + 1
g(x) = x² - 5
(f · g)(x) is f(x)g(x)
Step 2: Find (f · g)(x)
Substitute: (f · g)(x) = (4x + 1)(x² - 5)Expand [FOIL]: (f · g)(x) = 4x³ - 20x + x² - 5Combine like terms: (f · g)(x) = 4x³ + x² - 20x - 5We know that,
[tex] \Large \underline{\boxed{\sf{ (f . g)(x) = f(x) \times g(x) }}}[/tex]
By substituting values :
[tex] \sf : \implies (f . g)(x) = (4x+1) \times (x^{2} -5)[/tex]
[tex] \sf : \implies (f . g)(x) = 4x(x^{2} -5) +1(x^{2} -5)[/tex]
[tex] \sf : \implies (f . g)(x) = 4x^{3} - 20x + x^{2} -5[/tex]
[tex] \sf : \implies (f . g)(x) = 4x^{3} + x^{2} - 20x -5[/tex]
Hence, answer is :
[tex]\underline{\boxed{\sf{(f . g)(x) = 4x^{3} + x^{2} - 20x - 5}}}[/tex]
change from word to standard form sixty-seven and five hundred thirteen thousandths
I’ll mark as BRANLIEST!!!
45 POINTS!!!
I need help with both questions plz help god loves you all.
Answer:
43
-161
Step-by-step explanation:
Can somebody help me with this question, please? I have no idea how to do this or find the answer. :/ How many ways are there to choose a number from the set {−96, −48, −42, −36, −18, −14, −6, 14} that is divisible by either 6 or 8?
Answer:
28 different ways
Step-by-step explanation:
This is a combination question. Combination has to do with selection.
Total number of element in the set = 8
Number divisible by 6 or 8 are {-98, -48, -42, -36, -18, -6}
Total number divisible by 6 or 8 is 6
The number of ways we can choose 6 items from 8 is expressed as;
8C6 = 8!/(8-6)!6!
8C6 = 8!/(2)!6!
8C6 = 8*7*6!/2!6!
8C6 = 8*7/2
8C6 = 56/2
8C6 = 28 ways
Hence there are 28 different ways
2 – Efetue:
a) (+7) . (- 5) b) (-9) . (- 8) c)(-15) : (+5) d) (+125) : (+25)
preciso disso pra agora
A) [tex]7x(-5)[/tex]
A multiplicação de um numero positivo por um numero negativo resulta em um numero negativo: [tex](+) x (-)=(-)[/tex]
[tex](7x5)[/tex]
Multiplique os valores
[tex]-35[/tex]
resposta para A: [tex]-35[/tex]
B)[tex](-9)x(-8)[/tex]
A multiplicação dois números negativos resulta em um numero positivo : [tex](-)x(-)=(+)[/tex]
[tex]9 x 8[/tex]
Multiplique os valores
[tex]72[/tex]
Resposta para B :[tex]72[/tex]
C)[tex](-15) : 5[/tex]
A divisão de um numero negativo por um positivo resulta em um numero negativo: [tex](-):(+)=(-)[/tex]
[tex]-(15:5)[/tex]
Divida os números
[tex]-3[/tex]
Resposta para C: [tex]-3[/tex]
D) [tex]125 : 25[/tex]
Divida os números
[tex]5[/tex]
Resposta para D: [tex]5[/tex]
POR FAVOR ME MARCA BRAINLIEST
Look at the comments under this question! y = 10-3x and 2x+2y = 0
Answer:
Yes! You would sub 10-3x for y and solve.
Don't forget to use the distributive property! Your answer should be 5.
David expressed the ratio of the number of books that he owns to the number of DVDs that he owns as 27:11. Which statement could be true based upon this relationship? David has 11 books and 27 DVDs. David has 11 DVDs and 27 books. David has 11 DVDs and 27 items total. David has 11 books and 27 items total.
Answer: David has 11 DVDs and 27 books.
Step-by-step explanation:
When numbers are put in ratio form they are meant to compare their relative sizes.
The first number will be the first item being compared to the other.
For instance, if you had 2 pens and 3 pencils, the ratio of your pens to your pencils will be; 2:3. The ratio of your pencils to your pens however is 3:2.
In the same vein, a ratio of books to DVDs of 27:11 means that David has 27 books and 11 DVDs.
Answer:
David has 11 DVDs and 27 books.
Step-by-step explanation:
Use the information provided to write the equation of each parabola in vertex form and intercept form.
A chrome book cost 249.99 at target on Black Friday it is on sale for 15 % off what is the price of the computer on Black Friday
Answer:
The price is 212.49
Step-by-step explanation:
sorry if wrong.
HELPPPPPPPPPP Lol thankd
Answer:
6 10
Step-by-step explanation:
Answer:
6, 10
Step-by-step explanation:
The first point is on 6, and ending at 10.
A 2oz cup of frozen yogurt has 50 calories in it. How many calories are 7 oz?
Find the solution to the systems of equations using the elimination method.
2x + 3y = 11
5x + 3y = 14
Answer:
x=1
Step-by-step explanation:
-3x=-3
What is the value of a if a is equal to a×a×a=a+a+a
Answer:
a = ±sqrt(3)
Step-by-step explanation:
a×a×a=a+a+a
Simplifying each side
a^3 = 3a
Divide each side by a
a^3 /a = 3a/a
a^2 = 3
Take the square root of each side
sqrt(a^2) = ±sqrt(3)
a = ±sqrt(3)
Answer:
nope its not equal
a×a×a=a³, but a+a+a=3a
so, a³≠3a
Step-by-step explanation:
i hope this helps....can i have brainliest
MERRY CHRISTMAS!!!......ENJOY UR HOLIDAY!!!
Dose y = 7.2x represent a proportional relationship, if so identify the constant of proportionality. If not, explain why not.
Answer:
Yes it does
The constant of proportionality is 7.2
Step-by-step explanation:
Here, we are to determine if the expression represents a proportionality relationship
From the question, we can see that this is so
If we placed x beneath y, we will have
y/x = 7.2
So therefore the ratio between the two is 7.2 and thus, the equation represents a proportional relationship
Ants have 6 legs. Elena and Andre write equations showing the proportional relationship between the number of ants, , to the number of ant legs . Elena writes a= 6L and Andre writes l=1/6a . Do you agree with either of the equations? Explain your reasoning.
Answer: Elena would be the correct answer
Step-by-step explanation: since ants have 6 legs and have 1 body we know that there are 6 legs for every 1 ant. hope this helps
A local movie theater has an offer that for every seven movies you pay to go see, they will give you free passes for two other movies. If you paid to see 42 movies last year, how many free passes did you receive?
Answer:
i just need more points so sorry im not helping
Step-by-step explanation:
im just a blank bc it doesnt let me say it seventh grader
Answer: 12
Step-by-step explanation: 42/7 = 6 and u get 2 free passes so 6 x 2 = 12
least to greatest, 45%, .46, 11/25
Answer:
46, 11/25, 45%
Step-by-step explanation:
Can someone help me with this
Answer:
(-8;11] is the range of the graph
Translate the inequality and solve. Three times a number is less than or equal to six.
Answer:
x ≤ 2
Step-by-step explanation:
We can write out the inequality as: 3(x) ≤ 6
You have to divide 3 from both sides, so x ≤ 6/3 which is x ≤ 2.
write and equation of the line below
Answer:
y = 1/4x + 0 or just y = 1/4x
Step-by-step explanation:
First I need the slope so I look at the dots and see how much boxes it goes up and then to the side. So it’s up 2 to the side 8. The slope would be 2/8 but you can simply it by 2 and you get 1/4. And the y intercept is given its zero.
Pls help really fast I don't know this!!!!!
I think it's (3,4) but I am not confident so please be understanding
Answer:
(3, 1 )
Step-by-step explanation:
The centre of the circle is at the midpoint of the diameter.
Given endpoint (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (9, 7) and (x₂, y₂ ) = (- 3, - 5 ) , then
midpoint = ( [tex]\frac{9-3}{2}[/tex], [tex]\frac{7-5}{2}[/tex] ) = ( [tex]\frac{6}{2}[/tex], [tex]\frac{2}{2}[/tex] ) = (3, 1 )
Thus centre of circle = (3, 1 )
Mirah has breakfast at a reaturant. She leaves an 20% tip of $1.80
Answer:
.36
Step-by-step explanatio
Please help!!!!!!!!!
Answer:
D
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos CBA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{3}{9}[/tex] , thus
∠ CBA = [tex]cos^{-1}[/tex] ([tex]\frac{3}{9}[/tex] ) ≈ 70.53° ( to 2 dec. places )
solve for x . Please help !
Answer:
x = 12.489996 ft
Step-by-step explanation:
In order to solve one side length of a right triangle given two of other side lengths, you can use the pythagorean theory.
The theory states that the sum of the two adjacent side squares equals the square of the hypotenuse.
Basically:
[tex]x^2 + y^2 = h^2[/tex]
Since the problem gives you the hypotenuse and one adjacent side length you rearrange the formula as so:
[tex]x^2 = h^2 - y^2[/tex]
[tex]x=\sqrt{h^2 - y^2}[/tex]
Then plug in the values:
[tex]x = \sqrt{16^2 - 10^2} = \sqrt{256-100}=\sqrt{156} = 2\sqrt{39}=12.489996[/tex]
The rectangle shown
I need help with this
Step-by-step explanation:
income income earned working 5 hours is $50
Which equation represents a line that passes through the two points in the
table?
Answer:
C. y - 5= 5/3 ( x - 3 )
Step-by-step explanation:
I used a graphing calculator
16an - 19an +8b +9an +12 b
Answer:
16an - 19an + 9an + 8b + 12b
6an + 20b
Answer:
6an+20b I believe
Step-by-step explanation:
Select the correct answer.
Which statement is true about the graphed cubic function?
Step-by-step explanation:
The cubic function passes the x-axis only once,
so there is 1 distinct real zeroes and 2 complex zeroes.
The function has only one real zero and two complex zeroes. Then the correct option is D.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The graph of the cubic function is shown.
The intersection of the curve with the x-axis is known as the zeroes of the function.
From the graph, the curve that cut the x-axis is only one point. Then the function has only one real zero and two complex zeroes.
Thus, the correct option is D.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ5
PLEASEEEE HELPPPPPP!
Answer:
We conclude that the value of 'a' will be:
[tex]a=\frac{x+b^2}{2}[/tex]
Hence, option (2) is true.
Step-by-step explanation:
Given the equation
x = 2a - b²
Let us solve the equation to solve for 'a'
[tex]x=2a-b^2[/tex]
switching sides
[tex]2a-b^2=x[/tex]
Add b² to both sides
[tex]2a-b^2+b^2=x+b^2[/tex]
Simplify
[tex]2a=x+b^2[/tex]
Divide both sides by 2
[tex]\frac{2a}{2}=\frac{x}{2}+\frac{b^2}{2}[/tex]
Simplify
[tex]a=\frac{x+b^2}{2}[/tex]
Therefore, we conclude that the value of 'a' will be:
[tex]a=\frac{x+b^2}{2}[/tex]
Hence, option (2) is true.
The area of a rectangle is represented by the expression 16m - 24. Which expression shows a factored version of the Area, one that shows the length and the width.
A | 8(2m+3)
B | 8(2+3m)
C | 8(2-3m)
D | 8(2m-3)
Answer:
The espression 8(2m - 3) shows the length and the width of the rectangle ⇒ D
Step-by-step explanation:
Let us find the greatest common factor of 16 and 24
∵ 16 = 1 × 16, 2 × 8, 4 × 4
∴ The factors of 16 are 1, 2, 4, 8, 16
∵ 24 = 1 × 24, 2 × 12, 3 × 8, 4 × 6
∴ The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
→ Find the common factors of 16 and 24
∵ The common factor of 16 and 24 are 1, 2, 4, 8
∵ The greatest one is 8
∴ The greatest common factor of 16 and 24 is 8
→ Take 8 as a common factor from 16m and 24
∵ 16m ÷ 8 = 2m
∵ 24 ÷ 8 = 3
∴ 16m - 24 = 8(2m - 3)
∴ The espression 8(2m - 3) shows the length and the width of
the rectangle