Answer:
a=10
Step-by-step explanation:
Given that f(x) = x2 + 5x + 6 and g(x) = x + 2, find (fºg)(x) and
express the result in standard form.
US
Answer:
[tex](f\circ g)(x)=x^2+9x+20[/tex]
Step-by-step explanation:
We have the two functions:
[tex]f(x)=x^2+5x+6\text{ and } g(x)=x+2[/tex]
And we want to find:
[tex](f\circ g)(x)[/tex]
This is equivalent to:
[tex](f\circ g)(x)=f(g(x))[/tex]
Therefore, we will have:
[tex]f(x+2)[/tex]
By substitution:
[tex]f(x+2)=(x+2)^2+5(x+2)+6[/tex]
Simplify. Square and distribute:
[tex]f(x+2)=(x^2+4x+4)+(5x+10)+6[/tex]
Rearrange:
[tex]f(x+2)=(x^2)+(4x+5x)+(4+10+6)[/tex]
Combine like terms:
[tex]f(x+2)=(f\circ g)(x)=x^2+9x+20[/tex]
I need help! I don’t understand!
Answer:
33
Step-by-step explanation:
just coint how much is on each side then multiply it by 3
Someone help please thx in advance
Leo wants to buy some shoes. He found the shoes at three different stores for a spice of $35. The stores are each having a sale. Which statement about the sale price of the shoes is true
Answer: Store Z has the best sale price of $28.
Step-by-step explanation:
Here is the complete question:
Leo wants to buy some shoes. He found the shoes at three different stores for a price of $35. The stores are each having a sale.
Store X is offering 15% off the price of the shoes.
Store Y is offering $5 off the price of the shoes.
Store Z is offering a discount 1/5 off the price of the shoes.
Which statement about the sale price of these shoes is true?
a. Store X has the best sale price of $20.
b. Store Z has the best sale price of $28.
c. Store Y has the best sale price of $30.
d. Store Z has the best sale price of $7.
Since Store X is offering 15% off the price of the shoes, the price of the shoe at store X will be:
= $35 - (15% × $35)
= $35 - (0.15 × $35)
= $35 - $5.25
= $29.75
Since Store Y is offering $5 off the price of the shoes, the price of the shoe at store Y will be:
= $35 - $5
= $30
Since Store Z is offering a discount off the price of the shoes, the price of the shoe at store Z will be:
= $35 - (1/5 × $35)
= $35 - $7
= $28
Base on the analysis above, Store Z has the best sale price of $28.
Rudolph is collecting Christmas trees to donate to needy families. He collects 31 trees He donates all of his trees to 3 of his friends Frazer gets 3 more trees than Sally Sally gets 7 fewer trees than flame How many trees do each of his friends get?
Answer:
Frazer = x = 10 trees
Sally = y = 7 trees
Frame = z = 14 trees
Step-by-step explanation:
We have 3 friends
They are represented by:
Frazer = x
Sally = y
Frame = z
Total number of trees donated = 31
Rudolph is collecting Christmas trees to donate to needy families. He collects 31 trees He donates all of his trees to 3 of his friends
Frazer gets 3 more trees than Sally
x = y + 3
Sally gets 7 fewer trees than Flame
y = z - 7
z = y + 7
How many trees do each of his friends get?
x + y + z = 31
y + 3 + y + y + 7 = 31
3y + 10 = 31
3y = 31 - 10
3y = 21
y = 21/3
y = 7 trees
x = y + 3
x = 7 + 3
x = 10 trees
z = y + 7
z = 7 + 7 trees
z = 14 trees
Therefore:
Frazer = x = 10 trees
Sally = y = 7 trees
Frame = z = 14 trees
A box is filled with 6 blue cards, 6 brown cards, and 3 green cards. A card is chosen at random from the box. What is the probability that it is a blue or a green card?
Answer:
60% chance of a blue or green card
help again
álgebra 1
Answer:
A (4,6)
ok im going to go through this step by step
4(4)=3(6)-2
16=18-2
16=16 (true solution)
18=3(4)+(6)
18=12+6
18=18 (true solution)
19=10−5x+9x−7
what is x?
Answer:
4
Step-by-step explanation:
fourrrrrrr
2x + -10 = 10 + -3x
Explanation
Reorder the terms:
-10 + 2x = 10 + -3x
-10 + 2x = 10 + -3x
Solving for variable x
Move all terms containing x to the left, all other terms to the right
Add 3x to each side of the equation
-10 + 2x + 3x = 10 + -3x + 3x
Combine like terms: 2x + 3x = 5x
-10 + 5x = 10 + -3x + 3x
Combine like terms: -3x + 3x = 0
-10 + 5x = 10 + 0
-10 + 5x = 10
Add '10' to each side of the equation.
-10 + 10 + 5x = 10 + 10
Combine like terms: -10 + 10 = 0
0 + 5x = 10 + 10
5x = 10 + 10
Combine like terms: 10 + 10 = 20
5x = 20
Divide each side by '5'.
x = 4
Answer
So your answer is x=4
hope that helps you:)
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............................................................................................
The cost of tea varies directly with the
mass. Liz bought 4.5 kg of tea for $10.35.
What is the constant of variation?
Answer: $27.6 is the constant of variation.
I hope this helped!
soy ell idredle a admana gua uag uga jjejeje
Asphere with a radius of 7 m. What is the volume of the figure? Round your answers to the nearest tenth, if necessary.
a
1436.8m
b
1026.6m
С
1834.9m3
d
11494m
Answer:
a ) 1436.8 m³Step-by-step explanation:
R = 7 m
[tex]V=\frac43\pi R^3=\frac43\pi\cdot7^3=\frac{1372}3\pi\ m^3\approx1436.8\ m^3[/tex]
which property is used in the problem below
2(x+4)=2x+8
Answer:
Distributive property
The Distributive property. 2(x+4) got turned into 2x+8. The distributive property does this: 2 times x plus 2 times 4.
Step-by-step explanation:
Answer:God bless you and your family and friends and stay safe and good luck! :)
Step-by-step explanation:
The answer is C) The Distributive property.
2(x+4) got turned into 2x+8.
The distributive property does this:
2 times x plus 2 times 4.
2 times x = 2x
2 times 4 = 8.
So the answer is 2x+8.
C) Distributive property is right.
PLEASE HELP, I ONLY HAVE A FEW MINUTES TO TURN THIS IN BEFORE ITS NOT ACCEPTED!!
Jamila wants to play a game called "Guess my line". She gives you the following hints:
"Two points on my line are (1,1) and (2,4)
- What is the slope of her line?
- What is the y-intercept?
- What is the equation?
Answer:
The slope is 3, the y- intercept is -2, and the equation is y= 3x - 2
Answer:
[tex] \Large \pink{\tt \dfrac{i dunno}{..}}[/tex]
A client takes 112 tablets of medication four times per day for 4 days. How many tablets will the client have taken at the end of day four?
Answer:
1792
Step-by-step explanation:
1 day = 112 × 4
= 448
4 days = 448 × 4
= 1792
Find the value of x. Show all work. Round your answer to the nearest tenth.
25
x
23
Please help
Answer:
8.9Step-by-step explanation:
[tex]\tan(23^o)=\dfrac{25}x\\\\\ x\tan(23^o)=25\\\\x=\dfrac{25}{\tan(23^o)}\\\\x\approx 58.9[/tex]
Find the missing side of this triangle ROUND TO THE NEAREST TENTH IF NEEDED!! PLEASE HELP WILL MARK BRAINLIEST
Answer:
B option
Step-by-step explanation:
hypotenuse square = base square+ perpendicular Square
please mark me brainliest and 5 star
1. A television set costs ₱35 000.00 and a yearly cost of electricity of ₱572.00
Answer:
whats the question for this?
Step-by-step explanation:
I REALLY NEED HELP FAST PLEASE !!
Answer:
C: √768
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
The scatterplot illustrates the relationship between two quantitative variables: the number of seeds planted per square foot and the yield of the crop (in pounds per square foot).
A graph titled Number of Seeds and Crop Yield has seeds (per square foot) on the x-axis, and yard (pounds per square foot) on the y-axis. The points curve up to a point, and then curve back down.
Which of the following is an accurate description of the scatterplot?
Answer:
I cannot confirm answer (D), but it looks correct to me.
Here's the option:
The expected yield of a crop is low whenever the number of seeds planted per square foot is small or large. A larger yield is expected when the number of seeds per square foot is around 60.
ED2021
is y= -1/3x a direct variation?
Answer:
Yes
Step-by-step explanation:
It is a direct variation of the X,Y,Z family. This is due to the 3rd party uneven number.
Answer:
no
Step-by-step explanation:
ISSS THIS CORRECT??????please help
Answer:
I think that is correct, sorry if i get it wrong
Answer:
Step-by-step explanation:
(4,1) you are correct
thhe solution is the intersection of thhe 2 graphs because that point of intersection belongs to both lines in the same time
HELP ASAP ILL GIVE You 5 stars
What is the solution to this inequality?
7x + 25<=11
Answer:
Step-by-step explanation:
smplifying
7x + 11 = 25
Reorder the terms:
11 + 7x = 25
Solving
11 + 7x = 25
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-11' to each side of the equation.
11 + -11 + 7x = 25 + -11
Combine like terms: 11 + -11 = 0
0 + 7x = 25 + -11
7x = 25 + -11
Combine like terms: 25 + -11 = 14
7x = 14
Divide each side by '7'.
x = 2
Simplifying
x = 2
Answer: Inequality form: x<=-2
Interval notation: (-infinity,-2]
6v^2+13v-8= −3 solve the equation for all real solutions
Answer:
v = -5/2, 1/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Standard Form: ax² + bx + c = 0FactoringQuadratic Binomial RootsStep-by-step explanation:
Step 1: Define
6v² + 13v - 8 = -3
Step 2: Solve for v
Add 3 to both sides: 6v² + 13v - 5 = 0Factor: (2v + 5)(3x - 1) = 0Find roots: v = -5/2, 1/316 - 3x = 4 + x
solve please
Answer:
x = 3
Step-by-step explanation:
Solution for 16-3x=4+x equation:
Simplifying
16 + -3x = 4 + x
Solving
16 + -3x = 4 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
16 + -3x + -1x = 4 + x + -1x
Combine like terms: -3x + -1x = -4x
16 + -4x = 4 + x + -1x
Combine like terms: x + -1x = 0
16 + -4x = 4 + 0
16 + -4x = 4
Add '-16' to each side of the equation.
16 + -16 + -4x = 4 + -16
Combine like terms: 16 + -16 = 0
0 + -4x = 4 + -16
-4x = 4 + -16
Combine like terms: 4 + -16 = -12
-4x = -12
Divide each side by '-4'.
x = 3
Simplifying
x = 3Solution for 16-3x=4+x equation:
Simplifying
16 + -3x = 4 + x
Solving
16 + -3x = 4 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
16 + -3x + -1x = 4 + x + -1x
Combine like terms: -3x + -1x = -4x
16 + -4x = 4 + x + -1x
Combine like terms: x + -1x = 0
16 + -4x = 4 + 0
16 + -4x = 4
Add '-16' to each side of the equation.
16 + -16 + -4x = 4 + -16
Combine like terms: 16 + -16 = 0
0 + -4x = 4 + -16
-4x = 4 + -16
Combine like terms: 4 + -16 = -12
-4x = -12
Divide each side by '-4'.
x = 3
Simplifying
x = 3Solution for 16-3x=4+x equation:
Simplifying
16 + -3x = 4 + x
Solving
16 + -3x = 4 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
16 + -3x + -1x = 4 + x + -1x
Combine like terms: -3x + -1x = -4x
16 + -4x = 4 + x + -1x
Combine like terms: x + -1x = 0
16 + -4x = 4 + 0
16 + -4x = 4
Add '-16' to each side of the equation.
16 + -16 + -4x = 4 + -16
Combine like terms: 16 + -16 = 0
0 + -4x = 4 + -16
-4x = 4 + -16
Combine like terms: 4 + -16 = -12
-4x = -12
Divide each side by '-4'.
x = 3
Simplifying
x = 3
If 3/4 pound of sugar makes 10 cakes, how much sugar, in pounds, is needed to make 1 cake?
Answer:
3/40 or 0.075 pounds
Step-by-step explanation:
Tom finished 6/7 of his math homework on the school bus. What percent did he finish on the bus?(If needed round to the nearest hundredth)
Answer:
85.71
Step-by-step explanation:
precentage of 6÷7 ×100
Answer:
86%
Step-by-step explanation:
[tex]\frac{6}{7}[/tex] ≈ 0.86 = 86%
A 6-meter wire will be cut into pieces that are each 0.15 meter in length. A 3-meter rope will be cut into pieces that are each 0.25 meter in length.
How many more pieces of wire than pieces rope will there be?
Answer:
that will be 40(wire)-12(rope)=28parts
Step-by-step explanation:
6meter wire div by 0.15 eq to 40
3meter rope div 0.25 eq to 12
so we use 40-12=28parts
Please help with math 4r+2+7r
Answer:
11r + 2
Step-by-step explanation:
I combined liked terms which are the r's, then left the 2 alone because you cant combine it with any other number.
Approximate square root of 12 to the nearest tenth.
Answer:3
Step-by-step explanation:
Which expression could be used to determine the product of -4 and 342
o(-4)(3)(-4)
x (
0 (-4)(3) + (-4)
0 %)(-4)=(3 ()
(3)(-4) + (3)
Answer:
the second answer
Step-by-step explanation:
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