Answer:
The answer is D. 12x - 3.
Step-by-step explanation:
To add these functions, we just add the terms.
f(x) + g(x) = (7x - 4) + (5x + 1)
7x - 4 + 5x + 1 | Simplify
7x + 5x - 3
12x - 3.
Answer:
Option D. (12x - 3)
Step-by-step explanation:
Madden's total cups of coffee made is represented by the function f(x).
f(x) = 7x - 4
Jenn's total cups of coffee made is represented by the function g(x).
g(x) = 5x + 1
Now we have to write a function that represents the total cup of coffee that represents they made.
That will be represented by f(x) + g(x) = (7x - 4) + (5x + 1)
f(x) + g(x) = 12x - 3
Therefore, option D. will be the answer.
Ella wrote AB = |-1 + 5| = 4. Explain Ella’s error
Answer:
Ella found the Sum instead of the difference between the Cordinates.
The value of AB is 4 and -4. Ella's forgot to include -4 in his solution
Given the expression solved by Ella expressed as:
AB = |-1 + 5| = 4
Since AB contains modulus sign, then the expression can either be a positive value or negative value.
If positive:
|-1 + 5|
= -1 + 5
= 4
If negative:
|-1 + 5|
= -(-1 + 5)
Expand
= 1 - 5
= -4
Hence the value of AB is 4 and -4. Ella forgot to include -4 in his solution.
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The equation y = 3.5x represents the rate, in miles
per hour, at which Laura walks.
The graph at right represents the rate at
which Piyush walks. Determine who walks
faster. Explain.
Answer:
Piyush walks faster than Laura
Step-by-step explanation:
we know that
The rate or speed is equal to the slope of the linear equation
Laura
y=3.5x
The slope is [tex]3.5\ \frac{mi}{h}[/tex]
Piyush
Determine the slope of the line
we have the points
(0,0) and (4,18)
The line represent a direct variation (because passes through the origin)
so
[tex]m=\frac{y}{x}[/tex]
For x=4 h, y=18 mi
substitute
[tex]m=\frac{18}{4}=4.5\ \frac{mi}{h}[/tex]
Compare the slopes
[tex]4.5\ \frac{mi}{h} > 3.5\ \frac{mi}{h}[/tex]
therefore
Piyush walks faster than Laura
Answer:
Piyush walks faster than Laura
Step-by-step explanation:
Piyush walks faster than Laura
WHAT IS 2(2X+5)-6(x+2) when simpified
Answer:
- 2x - 2
Step-by-step explanation:
Given
2(2x + 5) - 6(x + 2) ← distribute both parenthesis
= 4x + 10 - 6x - 12 ← collect like terms
= - 2x - 2
During the 2011 season, a quarterback passed for 302 yards per game. He played in all 16 regular season games that year.
a. For how many total yards did the quarterback pass?
b. If he matches this passing total for each of the next 13 seasons, how many yards will he pass for in his career?
Answer:
(a). 4,832
(b). 62,816
Step-by-step explanation:
We have been given that during the 2011 season, a quarterback passed for 302 yards per game. He played in all 16 regular season games that year.
(a). To find the total yards passed by quarterback, we will multiply total number of games in one season by yards passed in one game.
[tex]\text{Total yards passed by quarterback in one season}=16\times 302[/tex]
[tex]\text{Total yards passed by quarterback in one season}=4,832[/tex]
Therefore, the quarterback passed 4,832 yards in one season.
(b). To find the total yards passed by quarterback in his career, we will multiply total number of yards passed in one season by 13.
[tex]\text{Total yards passed by quarterback in hos career}=13\times 4,832[/tex]
[tex]\text{Total yards passed by quarterback in hos career}=62,816[/tex]
Therefore, the quarterback passed 62,816 yards in his career.
Final answer:
The quarterback passed for a total of 4,832 yards during the 2011 season and is projected to pass for 62,816 yards in his entire career.
Explanation:
The questions can be answered as -
a. To find the total yards the quarterback passed during the 2011 season, we need to multiply the average yards per game by the number of games played.
Since he passed for 302 yards per game and played in all 16 regular season games, the total yards passed would be 302 x 16 = 4,832 yards.
b. If the quarterback matches this passing total for each of the next 13 seasons, we can find the total yards he will pass for in his career by multiplying his average yards per game by the number of games played in each season and then adding up the totals.
Since he passed for 4,832 yards in the 2011 season and plays 16 games per season, the total yards he will pass for in his career would be 4,832 x 13 = 62,816 yards.
Is this a permutation or combination problem:
For a band camp, you can choose two or three roommates from a group of 25 friends. In how many ways can you choose?
Answer:
permutation is the correct one.
Reason: combination are used to calculate the number of possible selections of objects without regard to the order selected. "My fruit salad is a combination of apples, grapes, and bananas". No matter the order, it is still a fruit salad. - The friends cannot be repeated twice so it is not combination
Final answer:
The student needs to choose two or three roommates from a group of 25 friends for a band camp. It is a combination problem and the number of ways to choose can be calculated using the combination formula.
Explanation:
This is a combination problem. The student needs to choose two or three roommates from a group of 25 friends for a band camp. Since the order doesn't matter, it is considered a combination. To calculate the number of ways to choose, we use the combination formula.
The number of ways to choose two roommates can be calculated using the formula C(25, 2) = 25! / ((25-2)! * 2!), which simplifies to 300.
The number of ways to choose three roommates can be calculated using the formula C(25, 3) = 25! / ((25-3)! * 3!), which simplifies to 2,300.
During a sale, a dress is marked down form a selling price of $90 to a sale price of $81. What is the percent of markdown?
The two-way table shows the ages of the players on different soccer teams. A 6-column table has 4 rows. The first column has entries 8 years old, 9 years old, 10 years old, Total. The second column is labeled Team A with entries 4, 9, 2, 15. The third column is labeled Team B with entries 6, 4, 3, 13. The fourth column is labeled Team C with entries 8, 3, 5, 16. The fifth column is labeled Team D with entries 3, 7, 4, 14. The sixth column is labeled Total with entries 21, 23, 14, 58. Which statement is true? The probability that a randomly selected player on Team A is 8 years old is StartFraction 4 Over 21 EndFraction. The probability that a randomly selected 8-year-old player is on Team C is StartFraction 16 Over 21 EndFraction. The probability that a randomly selected player on Team C is 10 years old is StartFraction 5 Over 16 EndFraction. The probability that a randomly selected 10-year-old player is on Team B is StartFraction 13 Over 58 EndFraction.
Answer:
The true statement is: The probability that a randomly selected player on Team C is 10 years old is [tex]\frac{5}{16}[/tex].
Step-by-step explanation:
According to the table the total number of 10 years old players on Team C is 5 and the total number of all ages players (8, 9 and 10 years old) on Team C is 16, so the probability that a randomly selected player on Team C is 10 years old is 5/16.
The probability that a randomly selected player on Team C is 10 years old is 5/16.
What is Probability?This is defined as the numerical descriptions of how likely an event is to occur and is often measured in fraction.
Total number of 10 years old players on Team C = 5
Total number of all ages players (8, 9 and 10 years old) on Team C = 16
Therefore probability = 5/16
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hello guys I need help with this multiple choice question <3
Answer:
fourth equation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 2y + 3x = 8 into this form
Subtract 3x from both sides
2y = - 3x + 8 ( divide all terms by 2 )
y = - [tex]\frac{3}{2}[/tex] + 4 ← in slope- intercept form
with slope m = - [tex]\frac{3}{2}[/tex]
Parallel lines have equal slopes, thus
y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute (2, - 1) into the partial equation
- 1 = - 3 + c ⇒ c = - 1 + 3 = 2
y = - [tex]\frac{3}{2}[/tex] x + 2 ← equation of line
Convert 20 minutes to seconds
Step-by-step explanation:
60 seconds=1 minute
20 minutes=? seconds
60*20= 1,200
1,200 seconds=20 minutes
Hope this helps!!!
Brady
Answer:
20 min = 1,200 s
Step-by-step explanation:
[tex]1\ min=60\ s\\\\20\ min=20\cdot\underbrace{1\ min}_{60s}=20\cdot60\ s=1200\ s[/tex]
Can you help I have tried 4 times
Answer:
5120oz/12=426.667 ounces.
Step-by-step explanation:
We know 1 pound = 16 oz. If we want to find out how many ounces are in 320 lbs, we must multiply 16 by 320 = 5120 ounces. Now we must divide by 12 to see how much she ate per month. 5120 divided by 12 is 426.667 or 426 and 2/3 ounces per month.
Alternatively, we can set up a proportion 1 lb / 16 ounces = 320 lb / x ounces. We cross multiply 1 times x = 320 times 15. On the left hand side we just have x and on the right hand side we get 5120. Hence, x=5120 ounces per year. To find how many she ate per month we must divide by 12 since there are 12 months in a year. So it comes out to 426 and 2/3 ounces per month.
Here are the equations: (1lb)(320lb)=(16oz)(320oz) implies 320lb=5120oz. Then divide 5120oz 12 to get how much she ate per month: 5120oz/12=426.667 ounces.
solve the equation for x. interpret the answer in terms of the problem x+y-y=425-y
x+y-y=425-y
do y-y first
y-y= 0
x+0= x
Answer: x= 425 -y
The equation of algebra x +y- y=425-y simplifies to x = 425 - y. To find the value of x, you can substitute a given or specific value of y into the equation.
Explanation:To solve the equation, you adjust and remove variables until you can isolate x. In this case, the equation is x +y- y =425-y. Here, the y's on the left-hand side of the equation cancel out giving you: x = 425 - y.
Therefore, the solution for the value of x, given y, is x = 425 - y. Meaning, if we know the value of y we can substitute it in the equation to find the corresponding value of x.
To interpret the solution, we need to have context or a real world application related to the problem. Without context, the interpretation might not go beyond the mathematical expression that x is equal to 425 minus the value of y.
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What do users share on Wikipedia?
Well, ideally, the purpose of Wikipedia is to allow anyone to add information, therefore, in theory, allowing the information to be the most accurate it can be.
In practice though, it just allows people to vandalize the articles and spread fake information.
Answer:
information on many topics
Step-by-step explanation:
2 tens 1 one x 10 unit form
Which real number property is illustrated here? *
1 point
3* – 5 = – 5 * 3
o
Associative Property of Multiplication
O
Identity Property of Multiplication
Commutative Property of Multiplication
O
Commutative Property of Addition
Answer:
Commutative property of multiplication
what is 74 times 13
Answer:
962
Step-by-step explanation:
x times y simply refers to x multiply y, so 74 times 13 means 74*13 and
74*13 = 962
Answer:
The answer is 962.
How long will it take you to ski a distance of 36 miles at a speed of 3 miles per 30 minutes
if one can cover 3 miles in 30 minutes, how many minutes will it be for 36 miles?
[tex]\bf \begin{array}{ccll} minutes&miles\\ \cline{1-2} 30&3\\ x&36 \end{array}\implies \cfrac{30}{x}=\cfrac{3}{36}\implies \cfrac{30}{x}=\cfrac{1}{12}\implies 360=x[/tex]
Please answer this asap for 15 pt
Answer:
Step-by-step explanation:
what is question that you whant my to answer
i posted this 575322 times pls help
Answer:
Step-by-step explanation:
What is the slope of the line passing through the points (−1, 7) and (4, −1)?
−56
−2
−85
2
Hey!
------------------------------------------------
Formula: [tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
------------------------------------------------
Steps To Solve:
~Substitute
[tex]m = \frac{-1 - 7}{4 - (-1)}[/tex]
~Simplify
[tex]m = \frac{-8}{5}[/tex]
------------------------------------------------
Answer:
[tex]\large\boxed{C)~\frac{-8}{5} }[/tex]
------------------------------------------------
Hope This Helped! Good Luck!
Can you give me the answer please
Answer:
-5
Step-by-step explanation:
because -3 + 3 = 0 and 1 + 4 = 5 so your answer is -5
[tex]\huge\boxed{-5}[/tex]
Let's write this out as an equation. [tex]-3+3+1+4+t=0[/tex]
We know that when all of the scores are added together, they equal [tex]0[/tex]. In this case, [tex]t[/tex] represent's Travis's score.
Add the known numbers together. [tex]0+1+4+t=0[/tex]
[tex]1+4+t=0[/tex]
[tex]5+t=0[/tex]
Now, subtract [tex]5[/tex] on both sides of the equation to isolate the variable. [tex]t=\boxed{-5}[/tex]
In your own words,explain why parentheses are important in problems involving more than one subtraction?
Answer:
parenthesis can be used to showthe order of what operations happen and the order they happen in, it helps break up confusion aswell that may occur within the equation
Answer:
Parentheses are important because they determine the order and priority of the operations.
Step-by-step explanation:
Parentheses when performing addition, subtraction, division or multiplication operations play a very important role. They tell us in which order we should go solving each of those operations.
If we do not respect this order, we can make the mistake of reaching an erroneous result.
The main thing is to always solve each parenthesis so that in the end everything is free to carry out the corresponding additions or subtractions.
Name the operation the should be done first in this expression: 10 - (3 + 4)
Answer:
[tex]Parenthesis[/tex]
Step-by-step explanation:
To figure this question out, you must follow the rule:
Parenthesis
Exponent
Multiply
Divide
Addition
Subtraction
As you can see, the first operation in PEMDAS is Parenthesis.
Meaning the first thing you do is the numbers in parenthesis
The straight line y=2x-2 meets the circle x^2+y^2=8 at the points A and B. Find the length of AB, giving your answer correct to one decimal place.
Answer:
(12/5)√5
Step-by-step explanation:
y = 2x - 2
x² + y² = 8
x² + (2x - 2)² = 8
x² + 4x² - 8x + 4 = 8
5x² - 8x - 4 = 0
(5x + 2)(x - 2) = 0
x = -2/5
x = 2
y = 4 - 2
y = 2
(2,2)
y = 2(-2/5) - 2
y = -4/5 - 2
y = -14/5
(-2/5,-14/5)
√((2 + 2/5)² + (2 + 14/5)²)
√((12/5)²+ (24/5)²)
√(144/25 + 576/25)
(1/5)√(144+576)
(1/5)√720
(1/5)√(16*45)
(4/5)√45
(12/5)√5
A 60-foot monument casts a 25-foot shadow. How long is the shadow of a 4.5-foot-tall person
Answer:
1.875 feet
Step-by-step explanation:
The length of the shadow is proportional to the height.
25 / 60 = x / 4.5
Cross multiply and solve:
60x = (25)(4.5)
60x = 112.5
x = 1.875
The shadow is 1.875 feet long.
Final answer:
The shadow of a 4.5-foot-tall person would be 1.875 feet long.
Explanation:
The shadow of a 4.5-foot-tall person would be 1.875 feet long.
First, set up a proportion using the given information: Height of monument / Length of its shadow = Height of person / Length of their shadow
Plug in the values: 60 / 25 = 4.5 / x
Solve for x to find the length of the person's shadow: x = (4.5 * 25) / 60 = 1.875 feet
Solve for x.
Enter your answer in the box
X=
Answer:
72°
Step-by-step explanation:
[tex] \frac{360}{5} = 72[/tex]
I know that this is not the correct formula for this type of problem, but since x is an acute angle, I found this answer a possibility.
I hope this is correct, and as always, I am joyous to assist anyone at any time.
if $860 is invested for one year at 5% simple interest, how much interest is earned? (College Algebra)
Answer: $43
Step-by-step explanation: 860 x 0.05 = 43
Which of the following expressions are equivalent to (6.2+6.2)+9.4(6.2+6.2)+9.4left parenthesis, 6, point, 2, plus, 6, point, 2, right parenthesis, plus, 9, point, 4? Choose 2 answers: Choose 2 answers: (Choice A) A 6.2 + (6.2 + 9.4)6.2+(6.2+9.4)6, point, 2, plus, left parenthesis, 6, point, 2, plus, 9, point, 4, right parenthesis (Choice B) B -(-6.2+6.2)+9.4−(−6.2+6.2)+9.4minus, left parenthesis, minus, 6, point, 2, plus, 6, point, 2, right parenthesis, plus, 9, point, 4 (Choice C) C -(6.2+6.2)+9.4−(6.2+6.2)+9.4minus, left parenthesis, 6, point, 2, plus, 6, point, 2, right parenthesis, plus, 9, point, 4 (Choice D) D 9.49.49, point, 4 (Choice E) E 6.2-(-6.2-9.4)6.2−(−6.2−9.4)
Answer:
6.2 + (6.2 + 9.4) ⇒ A
6.2 - (-6.2 - 9.4) ⇒ E
Step-by-step explanation:
your welcome i hope you pass <3
The equivalent expressions are Choice A: 6.2 + (6.2 + 9.4) and Choice C: -(6.2 + 6.2) + 9.4.
How did we arrive at this assertion?Let's break down the expressions to see how they are equivalent:
Original expression: (6.2 + 6.2) + 9.4
Choice A: 6.2 + (6.2 + 9.4)
This is the same as the original expression because the parentheses ensure that the addition of 6.2 and 9.4 is done first before adding it to the first 6.2.
Choice C: -(6.2 + 6.2) + 9.4
Here, we have a negative sign in front of the expression (6.2 + 6.2). When we add a negative sign, it's equivalent to subtracting the expression from 0. So, -(6.2 + 6.2) is the same as (-6.2 - 6.2), which is then added to 9.4. This is also equivalent to the original expression.
In both Choice A and Choice C, the final result is the same as the original expression: (6.2 + 6.2) + 9.4.
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If PR = 4x – 2 and RS = 3x – 5, which expression represents PS?
Final answer:
To find the expression representing segment PS, we add the expressions for segments PR (4x - 2) and RS (3x - 5) to get PS as 7x - 7.
Explanation:
The question asks us to determine the expression that represents the segment PS given the expressions for segments PR and RS. PR is given as 4x - 2 and RS is given as 3x - 5. To find the length of PS, we add PR and RS because PS is the sum of PR and RS when they form a continuous line segment. Therefore, PS is (4x - 2) + (3x - 5). Simplifying this expression, we get PS as 7x - 7.
please also help me on this one.
Answer: Maybe 8cm?
Step-by-step explanation:
you take 2cm and add it up with every shaded area
Solve for x. 3x-(5-2x)=x-21
[tex]\text{Hello there!}\\\\\text{Solve for x:}\\\\3x-(5-2x)=x-21\\\\\text{Distribute the "-" to the numbers in the parenthesis}\\\\3x-5+2x=x-21\\\\5x-5=x-21\\\\\text{Subtract x to both sides}\\\\4x-5=-21\\\\\text{Add 5 to both sides}\\\\4x = -16\\\\\text{Divide both sides by 4}\\\\\large\boxed{x=-4}[/tex]