Answer:
5x + 5
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x)
= 2x + 3 + 3x + 2 ← collect like terms
= 5x + 5
Answer:
Step-by-step explanation:
(f+g)(x)=f(x)+g(x)
(f+g)(x)=2x+3+3x+2
(f+g)(x)=5x+5
It looks like they want you to type just
5x+5
ž + 1 = 9
Ox = 16
x = 20
Ox = 4
Ox=5
Answer:
x = 16
Step-by-step explanation:
x
-- = 9-1 ...... first shift 1 and it will be -1
2
x = 8 ....... secondly 9-1 =8
--
2
x = 16 ..... criss cross and 2×8 = 16
there fore the value of x is equals to 16.
you can check it!
The line of the best fit for the graph above has the equation y= -x + 2. What value does the line predict when x= 6?
Answer:
y =-4 when x=6
Step-by-step explanation:
Plug in 6 for x
-(6)+2
-6+2=-4
use the guess and check method
4(x+2)+2=14
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
4(x+2)+2=14
4x+8+2=14
4x+10=14
4x=14 - 10
4x=4
x=4/4
x = 1
A pizza box measures 14 inches by 14 inches by 3.5 inches. What is the volume of the pizza box?
Answer:
Your answer would be 686in
Step-by-step explanation:
I say this because were suposed to use the formula V= l x w x h nd when applied it looks like this 686in = 14 x 14 x 3.5. Your welcome
The Volume of Pizza box is 686 inches³.
What is Volume?Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Given:
We have pizza box of shape Cuboid
length = 14 inches
width = 14 inches
height= 3.5 inches
So, Volume of box
= l x w x h
= 14 x 14 x 3.5
= 686 inches³
Learn more about Volume here:
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A compact disc player costs £50 plus 17 1/2 % VAT.
Calculate the total cost of the compact disc player.
Answer:
£58.75
Step-by-step explanation:
Given data
Cost = £50
VAT= 17 1/2%= 17.5%
Let us find the amount of the VAT
=17.5/100*50
=0.175*50
= £8.75
Hence the total cost of the compact disk is
=50+ 8.75
=£58.75
In triangle UVW, u = 20, v = 47. and w = 60. To find m∠ W,
which law would you use? Laws of Sines or Laws of Cosines? and why?
Answer:
We would use the Law of Cosines to solve the question.
m∠ W = 121.8°
Step-by-step explanation:
In triangle UVW, u = 20, v = 47. and w = 60. To find m∠ W,
which law would you use?
The Law we would use to find find m∠W is the Law of cosines, this is because in the question above we are given 3 known sides of a triangle and we are asked to find an unknown angle.
Law of cosines when we are to find an unknown angle =
m∠ W = arc cos [u² + v² - w²/ 2uv]
m∠ W = arccos [ 20² + 47² - 60²/ 2 × 20 × 47]
m∠ W = 121.81159°
Approximately = 121.8°
What is the value of the expression 9 + (fraction 1 over 2)4 ⋅ 48?
12
15
17
18
Question 2 (Fill-In-The-Blank Worth 1 points)
(06.04 LC)
If x = 2.7, 5x = ____. (Input decimals only, such as 12.7.)
Answer for Blank 1:
Question 3(Multiple Choice Worth 1 points)
(06.07 HC)
Which expression is equivalent to 12x − 8x + 3 and why?
3 + 4x, because (12x − 8x) + 3 = 4x + 3 = 3 + 4x
7x, because 12x − 8x + 3 = 4x + 3 = 7x
12x − 5, because 12x − (8x − 3) = 12x − 5
x, because 12x − 8x + 3 = 12x − 11x = x
Question 4(Multiple Choice Worth 1 points)
(06.07 MC)
Which expressions are equivalent to 3(x + 3y + 2x − y )?
3(3x + 2y) and 9x + 6y
3(3x + 4y) and 9x + 12y
3(x + 4y) and 3x + 12y
3(x + 2y) and 3x + 6y
Question 5(Multiple Choice Worth 1 points)
(06.04 MC)
What is the value of fraction 1 over 2x3 + 5.2y when x = 2 and y = 3?
8.2
9.2
18.6
19.6
Question 6(Multiple Choice Worth 1 points)
(06.06 LC)
Which of these shows 8 + 3m rewritten using the commutative property of addition?
8m + 3
8 − 3m
3m − 8
3m + 8
Question 7(Multiple Choice Worth 1 points)
(06.02 LC)
Which of these is the algebraic expression for "5 times the sum of 2 and y?"
5 ⋅ 2 + y
2 + 5 ⋅ y
2(5 + y)
5(2 + y)
Question 8(Multiple Choice Worth 1 points)
(06.06 MC)
The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below:
Step 1: 8 + 12x
Step 2: 4(4) + 4(8x)
Step 3: 4(4 + 8x)
Step 4: Dimensions of the rectangle are 4 and 4 + 8x
In which step did the student first make an error and what is the correct step?
Step 2; 4(2) + 4x(2)
Step 2; 4(2) + 4(3x)
Step 3; 4 + (4 + 8x)
Step 3; 4 + (4 ⋅ 8x)
Question 9(Multiple Choice Worth 1 points)
(06.03 MC)
Which statement best describes the expression 3 + y ÷ 2?
The quotient of 2 and the sum of 3 and y
The quotient of the sum of 3 and y, and 2
The sum of 3 and the quotient of 2 and y
The sum of 3 and the quotient of y and 2
Question 10(Multiple Choice Worth 1 points)
(06.01 MC)
What is the value of the expression 22 + 62 ÷ 22?
10
13
16
36
Question 11 (Fill-In-The-Blank Worth 1 points)
(06.01 LC)
34 + 2 ⋅ 5 = ____. (Input whole numbers only.)
Numerical Answers Expected!
Answer for Blank 1:
Question 12(Multiple Choice Worth 1 points)
(06.06 LC)
Which algebraic property is used to rewrite 2(4y + 1) as (4y + 1)(2)?
Distributive property
Associative property
Commutative property of multiplication
Commutative property of addition
Question 13(Multiple Choice Worth 1 points)
(06.02 LC)
Which statement best describes the expression 4y ÷ 9?
9 divided by 4 times y
9 times y divided by 4
4 times y divided by 9
4 divided by 9 times y
Question 14(Multiple Choice Worth 1 points)
(06.07 LC)
Which expression is equal to 5p?
p + p + p + p + p
4p + 1
p + 5
p3 + p2
Question 15(Multiple Choice Worth 1 points)
(06.04 MC)
The expression to find the perimeter of a rectangle is 2(length + width). What is the perimeter, in units, of a rectangle of length fraction 1 over 5 unit and width fraction 1 over 2 unit?
fraction 1 and 2 over 5 units
fraction 1 and 1 over 5 units
fraction 4 over 7 unit
fraction 2 over 7 unit
Question 16(Multiple Choice Worth 1 points)
(06.03 MC)
Which expression shows a sum of three terms?
3x
3 + x
x3
x + 3 + x
Question 17(Multiple Choice Worth 1 points)
(06.02 MC)
Which of these is the algebraic expression for "4 less than the product of 3 and some number?"
4m − 3
3m − 4
3 − 4m
4 − 3m
Question 18(Multiple Choice Worth 1 points)
(06.03 LC)
What is the coefficient of y in the expression 2 ⋅ 4 + 3y?
2
3
7
8
(a) The value of 9 + (1/2) /4 * 48
We have:
[tex]9 + (1/2) /4 * 48[/tex]
Evaluate the quotients
[tex]9 + (1/2) /4 * 48 = 9 + 1/8 * 48[/tex]
Evaluate the products
[tex]9 + (1/2) /4 * 48 = 9 + 6[/tex]
[tex]9 + (1/2) /4 * 48 = 15[/tex]
Hence, the value of the expression 9 + (1/2) /4 * 48 is 15
(b) If x = 2.7, 5x =
The value of x is given as 2.7.
So, we have:
[tex]5x = 5 * 2.7[/tex]
[tex]5x = 13.5[/tex]
Hence, the value of 5x is 13.5
(c) Equivalent expression of 12x - 8x + 3
The expression is given as: 12x - 8x + 3
So, we have:
12x - 8x + 3 = 4x + 3
Hence, the equivalent expression of 12x - 8x + 3 is 4x + 3
(d) Equivalent expression of 3(x + 3y + 2x - y)
The expression is given as: 3(x + 3y + 2x - y)
So, we have:
3(x + 3y + 2x - y) = 3(3x + 2y)
Also, we have:
3(x + 3y + 2x - y) = 9x + 6y
Hence, the equivalent expressions are 3(3x + 2y) and 9x + 6y
(e) The value of 1/2x^3 + 5.2y when x = 2 and y = 3
We have: 1/2x^3 + 5.2y
So, the expression becomes
[tex]1/2x^3 + 5.2y = 1/2 * 2^3 + 5.2 * 3[/tex]
[tex]1/2x^3 + 5.2y = 19.6[/tex]
Hence, the value of 1/2x^3 + 5.2y is 19.6
(f) The commutative property of addition of 8 + 3m
The commutative property of addition of 8 + 3m is 3m + 8
(g) The algebraic expression for "5 times the sum of 2 and y?
The algebraic expression is 5(2 + y)
(h) The error of the student
The student's first error is in step 2: 4(2) + 4x(2)
(i) The statement that describes the expression 3 + y ÷ 2
The correct statement is (d) the sum of 3 and the quotient of y and 2
(j) The value of an expression
We have:
22 + 62 ÷ 22
Evaluate
22 + 62 ÷ 22 = 24.8
Hence, the value of the expression 22 + 62 ÷ 22 is 24.8
(k) Complete the blanks
We have: 34 + 2 ⋅ 5 = ____
Represent the blank with x
34 + 2 ⋅ 5 = x
Evaluate
44 = x
Hence, the blank is 44
(l) The algebraic property is used to rewrite 2(4y + 1) as (4y + 1)(2)?
The algebraic property is used to rewrite 2(4y + 1) as (4y + 1)(2) is the (c) commutative property of multiplication
(m) The statement that best describes the expression 4y ÷ 9
The statement is: (c) 4 times y divided by 9
(n) The expression is equal to 5p
The expression is equal to 5p is (a) p + p + p + p + p
(o) The coefficient of y in the expression 2 ⋅ 4 + 3y
The coefficient of y in the expression is 3
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Three sodas and four hotdogs costs $15. Two sodas and a hotdog costs $5. How much does seven hotdogs cost?
Answer:
$26.25
Step-by-step explanation:
I'm not completely sure if I did this right because I haven't used this in a while, but let's say sodas are x and hot dogs are y. The first equation would be 3x+4y=15 and in order to solve for x or y you have isolate them to seperate sides because if there is not letter on the other side, it will just end up being zero... if that makes sense. subtract 3x so the equation is now 4y=15-3x and divide everything by 4, to make the equation y=3.75-3/4x. Do the same thing but subracting the 4y and dividing by 3 to get the x value. Now we're left with y=-3/4+3.75 and x=5-4/3y (or x=5-1 1/3y). remember that x=sodas and y=hotdogs. The equation we need to create has seven hot dogs and no sodas, so we simply need to take the equation for y and substitute y for 7 because we have 7 hot dogs and y is the symbol used for hot dogs. This equation would now be 7(-3/4x+3.75) because hotdog=y=-3/4x+3.75, so hotdog=-3/4+3.75 and we have 7 hot dogs so you just multiply that by 7
What is the answer:
15x+10= -20x+150
Answer: 1
5+10=−20+1501+10−10=−20+150−10
Subtract the numbers
15=−20+140
15=−20+14015+20=−20+140+20
Combine like terms
35=140
35=1403535=14035
=4
carmen ha visto la television durante cada dia de la semana pasada y se registraron los siguientes numeros de horas 3,2,3,3,2,6 y 3 en promedio ¿cuantas horas al dia esta Carmen frente al televisor?
A logger cuts down a tall tree while thinning a stand of longleaf pine trees. He cuts the tree trunk into several roughly cylindrical logs that can be carried. One log from near the top of the tree measures 32 inches around its circumference and 42 inches long. Another log cut from the lower part of the tree measures 64 inches around its circumference. If both logs have the same volume, about how long is the log cut from the lower part of the tree trunk?
A 7 inches
B 10.5 inches
C 14 inches
D 21 inches
Answer:
14
Step-by-step explanation:
Divide 64 by 28.26. Then you get 2.2. Then multiply it by 64.
Find the total amount in an account after 8 years if the
deposit was $20,000 and the simple interest rate was
2%.
Answer:
Step-by-step explanation:
The value of a simple interest account is
A=P(1+rt), A=present amount, P=principle, r=rate, t=time
A=20000(1+0.02(8))
A=20000(1.16)
A=$23200.00
About 8 out of 15 homes have a dog as a pet. On a street with 165 homes, how many would you expect to have a dog for pets?
Please explain how you got your answer.
Answer:
88
Step-by-step explanation:
create a proportion:
8/15 = x/165
cross-multiply:
15x = 1320
x = 88
GIVING BRIANLIEST PLS HELP
a) Which lines are parallel?
b) Which line/lines act as a transversal?
c) Which angles are vertical angles that are not on parallel lines?
d) If angle 7 is 120 degrees, find the measure of the following angles:
Angle 8:
Angle 6:
Angle 5:
Angle 4:
Angle 3:
Angle 2:
Angle 1:
Step-by-step explanation:
a) Line AB ll DC
b) Line GH acts as a transversal.
c) <10 ; <12 , <9 ; <11
d) <8 = 180° - 120° = 60°(Ans)
<6 = 120°(Ans)
<5 = 60°(Ans)
<4 = 60°(Ans)
<3 = 120°(Ans)
<2 = 120°(Ans)
<1 = 60°(Ans)
Answer:
a) AB and DC are parallel
b) GH and EF act as a transversal
c) Angle 11 and 9 and Angle 10 and 12
d)Angle 8: 60
Angle 6: 120
Angle 5: 60
Angle 4: 120
Angle 3: 60
Angle 2: 60
Angle 1: 120
Hope it helps!!!
Simplify -18b^-4 Pliz help, I don’t understand math, especially Algebra II
Answer:
B. -[tex]\frac{18}{b^4}[/tex]
Step-by-step explanation:
(✿◡‿◡) <-- she wants Brainliest
Answer:
b
Step-by-step explanation:
I need help ASAP this is due tomorrow
Answer:
The are of the figure is 36m.
Step-by-step explanation:
Split the figure into 2 shapes, a rectangle and a triangle
6 * 5 = 30
Rectangle = 30
2 * 6 = 12
12 / 2 = 6
Triangle = 6
30 + 6 = 36m
Plz mark as brainliest if correct! Have a nice day!!!
-Lil G
Answer:
shov
Step-by-step explanation:
123323143423 dfghe we erewrfwefwet
The plot below shows the length of each of the 7 bulletin boards hanging in the fifth grade hallway. All measurements are rounded to the nearest 1/2 fraction meter.If the 3 longest bulletin boards were side by side, what would their total length be?
Answer:
[tex]Total = 11m[/tex]
Step-by-step explanation:
Given
See attachment for dot plot
Required
The length of the 3 longest boards
From the attachment, the longest bulletin is 4 meters long which has a frequency of 1. This is followed by bulletin of 3 1/2 meters long; however, the frequency is 2
The frequency is gotten by counting the total dots on each length.
So, the total is:
[tex]Total = 4 m* 1 + 3\frac{1}{2} m* 2[/tex]
[tex]Total = 4m + 7m[/tex]
[tex]Total = 11m[/tex]
I GIVES BRAINLIEST TO PEOPLES WHO ANSWERS
Answer:
$16.38
Step-by-step explanation:
If he has to buy the whole board he will still spend the $8.80
If the school buys the post then you leave out the $18.75
Which gives the correct vaules for points A, B, C and D?
Step-by-step explanation:
answer b
please mark as brilliant
Answer:
I think it's the last answer choice. Not sure though. Hope this helps!
PLEASE HELP!!!! I need the answer quick!!!! I’ll give you 20 points
-3b+12=36
Answer:
b= -8
Step-by-step explanation:
Two types of tickets were sold for an upcoming concert: adult tickets and child tickets. In total, there
were 175 adult tickets sold and 103 child tickets sold. There was a total of $13796 in ticket sales. The
Jones family bought two adult tickets and two child tickets and spent a total of $184. How much does an
adult ticket cost and how much does a child ticket cost?
Answer:
Adult ticket is $60
Child ticket is $32
Step-by-step explanation:
Let x = price of adult ticket
y = price of child ticket
(1) 175x + 103y = 13796 (2) 2x + 2y = 184
x + y = 92
y = 92 - x
175x + 103(92 - x) = 13796
175x + 9476 - 103x = 13796
72x = 4320
x = 60 y = 92 - 60
y = 32
You deposit $400 in an account. The account earns $18 simple interest in 9 months.What is the annual interest rate?
Use the formula,
I = Prt
P = Principal amount = 400
I = interest = 18
r = annual rate
t = time in years = 9/12 = 3/4
so,
18 = 400*r*3/4
r = 0.06
so the annual interest rate is 0.06 or 6%
Can someone help me and show how to do it
Answer:
Step-by-step explanation:25
What is the area of the triangle?
4
:10
2
units
Answer:
Your answer is 20
Step-by-step explanation:
as the formula 1/2*4*10=20.
hope it help you if yes then please make me the brainiest.
Thank you
parshv
Calculating area of rectangle with a diagonal of 5m height of 3m and length of 4m
Answer:
area = 12 m²
Step-by-step explanation:
area = L x W
area = 4 x 3 = 12 m²
Answer:
12m ²
Step-by-step explanation:
Area of rectangle = l × b
= 4m × 3m
= 12m²
Solve: 1+^3√5x=3
1. Isolate the radical. ^3√5x=2
2. Raise each side of the equation to the same power
as the index of the radical to eliminate the radical.
(3√5x)^3 = (2)^3
Answer: it’s D
Step-by-step explanation:
Answer:
x= 8/5 or D
Step-by-step explanation:
edg 2021
11a. A number cube that has sides numbered 1 through 6 is rolled 600
times. How many times would you expect the result to be a 1? times
Your answer
Answer:
The chance of rolling a 1 is 1/6.
This means, that in 6 rolls, you would expect to get 1 roll on a 1.
In 600 rolls, you would expect 100 rolls to land on a 1.
Let me know if this helps!
I need help this is for tonight!!!
Answer:
54
Step-by-step explanation:
first find x:
21x-9=14x+12
21x=14x+21
7x=21
x=3
now substitute
21(3)-9
63-9=54
Suppose f(x) = abx + c is an exponential function. One value which b CANNOT have is
Answer:
b cannot be 1
Step-by-step explanation:
Given
[tex]y = ab^x + c[/tex]
Required
Values b cannot have
In an exponential equation, the value of b can be:
[tex]b > 1[/tex] ---> This represents growth
[tex]b < 1[/tex]----> This represents decay
[tex]b \ne 1[/tex] ---> The value of b can't be 1. If b is 1, then it is not an exponential function
If f(x) = x2, which equation represents function g?
A. G(x)=1/3f(x)
B. G(x)=3f(x)
C. G(x)=f(1/3x)
D. G(x)=f(3x)
Answer: B. G(x)=3f(x)
Step-by-step explanation: hope this helped :)
The equation that represents the graph of the function g(x) is g(x) = 3f(x)
How to determine the function g(x)?The equation of the function f(x) is given as:
f(x) = x^2
The function g(x) is compressed horizontally by a factor of 3, to get the function g(x)
This means that:
g(x) = kf(x)
Where k = 3.
So, we have:
g(x) = 3f(x)
Hence, the equation that represents the function g(x) is g(x) = 3f(x)
Read more about function transformation at:
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