Answer:
4
Step-by-step explanation:
for f(x) =4x+1 g(x)=x²-5, find (f•g)(x)
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]
4 × (3 + 7) = (4 ×[]) + (4 ×[])
Answer:
4 × (3 + 7) = (4 ×7) + (4 × 3)
Step-by-step explanation:
If you go by the order of PEMDAS you would do the parentheses first. 3 + 7 =10. 10 × 4 = 40. Then you would just use the distributive property and do (4× 7) + (4 × 3)
4 × 7 = 28 and 4 × 3 = 12 28 +12 =40
Which ratio forms a proportion with 1442? Bruh I will give y’all points and brainlesst
Answer:
7/21
Step-by-step explanation:
14/42 is 7/21 in another form
hhhhhheeeeeeeellllpppp
Answer:
y = 0.35x + 2.5
Step-by-step explanation:
does anyone know how to tell the difference between rational and irrational numbers?
Answer:
Rational numbers refers to a number that can be expressed in a ratio of two integers. An irrational number is one which can't be written as a ratio of two integers. Expressed in fraction, where denominator ≠ 0. Cannot be expressed in fraction.
Step-by-step explanation:
done
the graph of y=x^2-8x+6 has a minimum point. write down the coordinates of this point
Answer:
this formula can't not calculate
Emma is making two different kinds of cookies for a cookie party she will be attending. She needs 2 and 2/3 cups of sugar for the first recipe and 1 and 1/4 cups of sugar for the second recipe. Emma thinks she will have enough sugar but she isn't quite sure. She knows that her full 2 pound bag of sugar says it contains 4 and 1/2 cups of sugar. Determine the exact difference between the amount of sugar Emma has and the amount of sugar she needs for the recipes.) Emma's mom brought home another 2 pound bag of sugar (4 and 1/2 cups) and wants to make fudge to take to work. Her mom will need 2 and 1/6 cups of sugar. Write a numerical expression that could be used to determine exactly how much sugar will be left over from the two bags of sugar after Emma bakes cookies and her mom makes fudge
Answer:
Step-by-step explanation:
Emma is making two different kinds of cookies for a cookie party she will be attending. She needs 2 and 2/3 cups of sugar for the first recipe and 1 and 1/4 cups of sugar for the second recipe. Emma thinks she will have enough sugar but she isn't quite sure. She knows that her full 2 pound bag of sugar says it contains 4 and 1/2 cups of sugar. Determine the exact difference between the amount of sugar Emma has and the amount of sugar she needs for the recipes.) Emma's mom brought home another 2 pound bag of sugar (4 and 1/2 cups) and wants to make fudge to take to work. Her mom will need 2 and 1/6 cups of sugar. Write a numerical expression that could be used to determine exactly how much sugar will be left over from the two bags of sugar after Emma bakes cookies and her mom makes fudge
PLS HELP WILL GIVE BRANLIEST
Answer:
she took 13 classes that were worth 3 credits
Step-by-step explanation:
well we know that some of the classes are worth 3 and some are worth 4 and that all of these together = 59 so your first equation would be
3x+4y=59
x would be the number of classes worth 3 credits and y would be the number of classes worth 4 credits.
then it says the total number of classes that they took was 18 so we know that
x + y =18.
you want to solve for the number of 3 credit classes so lets go ahead and get rid of the y values. SO you need you multiply the x+y equation by 4
4x+4y=72
then subtract 4x+4y=72 from 3x+4y=59 to get
-x = -13
and then x is a negative so you need to divide -1 from both sides and you get that she took 13 classes that were worth 3 credits.
Which expression is equivalent to the one below? minus 1 over 2 open parentheses 10 plus 1 over 4 close parentheses
Answer:
300
Step-by-step explanation:
Find the solutions of (x - 7)(x + 12) = 0.
Answer:
x=7,-12
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]x^{2} +12x-7x-84=0[/tex]
[tex]x^{2} +5x-84[/tex]=0T
tIENES QUE REALIZAR ESTA FÓRMULA:
[tex]te lo explico en los comentarios que aqui cuesta escribir\\[/tex] I
The triangles formed by a man, a pole, and a point on the ground between them, are similar. What is the height of the pole?
Find the x-and y -intercepts.
y=20
The x-intercept is
The y-intercept is
Answer:
x-intercept is 50 y-intercept is 40
Step-by-step explanation:
solve for x, then solve for y
Given g(x) = 2x – 1, solve for x when g(x) = 3.
Answer:
x = 2
Step-by-step explanation:
g(x) = 2x - 1
g(x) = 3
2x - 1 = 3
Add 1 to both sides;
2x = 4
Divide both sides by 2;
x = 2
If you can figure this out you get brainliest.
Answer:
the answer is F: 6 because you add all the numbers together and then divide by the amount of numbers in the problem
Step-by-step explanation:
Answer:
6 is the answer cause when you add it all up it equals 60 then divide by how many numbers there were and that was 10 numbers so 60÷10=6
equation
horizontal asymptote
vertical asymptote
Answer:
Hello,
In order to determine which is the horizontal asymptote remember that the horizontal is always x= something and remember that horizontal is straight from left to right.
So Horizontal asymptote = 2
For vertical asymptote it goes from the bottom of the graph, directly up. Think about it like this, you stand upright...or vertically right? So the vertical asymptote is
y= 0
Rate positively and give brainlist
Helpppppplpppo! Hurry hurry
Answer:
I hurried wat
Step-by-step explanation:
wAT
12. Question: Solve the unfinished equation.
1=4
2=16
3=64
4=???
Explain.
Answer:
4 = 256.
Step-by-step explanation:
The formula used in each equation is 4x = Y. So, 41 = 4, 42 = 16, 43 = 64, and 44 = 256.
Answer:
[tex]\huge\boxed{\sf 256}[/tex]
Step-by-step explanation:
The equation used for this unfinished equation is:
[tex]\sf 4^{x} = y\\\\Where \ x \ is \ L.H.S \ and \ y \ is \ R.H.S[/tex]
So,
If x = 1, y = 4
[tex]\sf 4^1 = 4[/tex]
If x = 4 , y = 256
[tex]\sf 4^4 = 256[/tex]
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Plz plz plz plz plz plzzzzzzz
Answer:
3 7/24
Step-by-step explanation
but is the last fraction 2 1/8?
Answer:
1 1/27
Step-by-step explanation:
1 1/6 + 2 1/8 = 1 1/27
A certain map shows two roads. Road A is 1 1/5 miles long but it is 1 4/5 long on the map. What is the unit rate for inches per mile? If road B is 4 miles long, how long is road B on the map?
Answer: 6 inches
Step-by-step explanation:
Road in inches = 1 ⁴/₅
Road in miles = 1 ¹/₅
Inches per mile = 1 ⁴/₅ / 1 ¹/₅
= 1.5 inches
If the road is 4 miles long, on the map it would be;
= 1.5 * 4
= 6 inches
Find the measure∠1 of in the figure, shown to the right
helppp me plzzzzzz ahh
what is the y = mx + b form of x - 3y = 6
Step-by-step explanation:
x - 3y = 6
3y = x - 6
y = 1/3 x - 2.
Here m is 1/3 and b is -2.
Given the equation, y=2x+5 evaluate when x=2.
5
9
0
7
also no need to rush you can wait to answer as long as you want but i probely only have 1o or 20 mins before parents catch me on a site im not suppose to be on lol
When Luis was 4 years old, his parents put $6,500 into a college fund account that earned 3.5% interest. What is the total amount in the account when Luis starts college at 18 years old? (there are no answer choices)
Answer: LOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOL FAT NECK AHH BOY
Which expression has the same value as 37.4 - 54.9?
Answer:
The answer is D.
Step-by-step explanation:
Hope this helps and I hope u have an Amazing day!!
Find the measure of each exterior angle of the regular polygon. (Please answer correctly!)
Can you please help due at 1130
Answer:
y-8 = 5(x+3)
Answer:
y+3=-5(x-8)
Step-by-step explanation:
Where is the blue dot on the number line
-5
going backwards-8, -7, -6, to -5
A right triangle has a leg lengths of 9 units and 12 units. Write an equation that can be used to determine the length of the hypotenuse, c.
Answer:
a^2+b^2=c^2
c=15 units
Step-by-step explanation:
You can use the pythagorean theorem to solve this equation. a^2+b^2=c^2.
If you substitute the leg lengths in, the new equation will be 9^2+12^2=c^2, c being the hypotenuse.
Next, you can simplify it to get 81+144=c^2. Simplifying it further, you get 225=c^2, which means that the length of the hypotenuse is 15. Hope this helped! :)
Answer:
15
Step-by-step explanation:
9^2+12^2=c^2
81+144=c^2
225=c^2
15=c
or you can see that this is a 3,4,5 triangle (just 3 times bigger)
hope this helps :)
Select the table representing a linear function (Graph them if necessary.)
Answer:
B
Step-by-step explanation:
In order for a function to be linear, It must be a straight line. Letter B is the only table that, when graphed, creates a straight line.
Answer: B
Step-by-step explanation: I just answered this question on the a p e x semester exam