Answers
Plugging 1+m instead, we get 2(1+m)^2+1+m-5=2(1+2m+m^2)+1+m-5
= 2+4m+2m^2+1+m-5= 2m^2+5m-2. We have to find the difference between that and -2, so 2m^2+5m-2 -(-2)=2m^2+5m
Differentiating 12, we use the Power Rule to get -6x^2+14, and plugging x=1 into it, we get -6(1)^2+14=-6+14=18
Related Questions
you begin with $25 in a savings account and $50 in the checking account. Each week you deposit $5 into savings and $10 into checking. After how many weeks is the amount in checking twice the amount in savings? write and solve an equation.
Answers
let [tex]c_n[/tex] represent the amount is checking account after n weeks.
so:
[tex]s_0=25\\\\s_1=25+5\\\\s_2=25+5+5\\\\s_3=25+5+5+5\\\\.\\\\.s_n=25+5n[/tex]
and
[tex]c_0=50\\\\c_1=50+10\\\\c_2=50+10+10\\\\c_3=50+10+10+10\\\\.\\\\.c_n=50+10n[/tex]
thus to find
"the amount in checking twice the amount in savings"
we solve the equation:
50+10x=2(25+5x),
50+10x=50+10x
this is true for any x (any number of weeks)
Answer: the amount in checking is twice the amount in savings ALWAYS
simplify 8(7-1)+4(x+5).
Answers
48 + 4x +20
68 + 4x is your answer
hope this helps
Tanner collected 360 cans and cans and bottles while fundraising for his baseball team this was 40% of what Reggie collected how many cans and bottles did Reggie collect
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360 +144 = 504
Final answer:
To find how many cans and bottles Reggie collected, we consider the 360 cans and bottles Tanner collected as 40% of Reggie's collection. After setting up an equation and solving it, we determine that Reggie collected a total of 900 cans and bottles.
Explanation:
Tanner collected 360 cans and bottles, which was 40% of what Reggie collected. To find out how many cans and bottles Reggie collected, we'll use the concept of percentage. Since 40% equals 0.40 in decimal form, we can represent the total number Reggie collected as 100%, which is 1 when converted to decimal form.
Therefore, if Tanner collected 360 cans and bottles and this is 40% of Reggie's amount, we can set up the equation:
360 = 0.40 × (Total number of cans and bottles Reggie collected)
To solve for the total number, we divide both sides of the equation by 0.40:
Total number of cans and bottles Reggie collected = 360 ÷ 0.40
After the division, we find that:
Total number of cans and bottles Reggie collected = 900
tukarkan 0.8 juta kepada nombor bulat
Answers
What is the value of the 8 in 381,697?
Answers
"10.000"
Hope this helps, Pal
pi is an irrational number. could pi = 22/7? why or why not?
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Irrational numbers are numbers that cannot be expressed as fractions.
So therefore, Pi cannot equal 22/7.
solve for n n over 6 = 10 over 15
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n/6 = 10/15
n = 10/15 * 6
n = 10*6 =60, 60/15 = 4
n = 4
Seven less than one-third of a number is 5
Answers
PLEZ HELP I NEED HELP BADLYYY!!!
Homer and Bart plan to buy one computer for $499.00 strictly for gaming purposes games cost $49.99 each
PART A ... Define each variable and write an algebraic expression to describe how much they will spend before sales tax based on purchasing the computer and the number of games
PART B .... if they purchase one computer in five games how much do they spend before sales tax
PART C.... Homer and Bart have friends they want to purchase extra controllers each controller costs $24.99 use an algebraic expression to describe how much they spend in total before tax sales when they purchase one computer any number of games in any number of extra controllers
PART D ... what would be the total cost before sales tax if Homer and Bart purchase one computer for games and three extra controllers
Answers
Alright, so plugging 5 in for x, we get 499+49.99*5=744.95
Since one controller is 24.99, the money for buying a y amount of controllers would be 24.99*y., making the expression 499+49.99x+24.99y
Since in part D, there are no games, we plug these in to get
499+49.99*0++24.99*3=573.97 dollars
A. [tex]\[ T = C + G \times P \][/tex]
B. they will spend $748.95 before sales tax.
C. [tex]\[ T = C + G \times P + K \times R \][/tex]
D. The total cost before sales tax if Homer and Bart purchase one computer, five games, and three extra controllers would be $823.92.
PART A:
Let us define the variables:
- C: Cost of the computer ($499.00)
- G : Number of games
- P : Cost of one game ($49.99)
- T : Total cost before sales tax
The algebraic expression to describe how much they will spend before sales tax based on purchasing the computer and the number of games is:
[tex]\[ T = C + G \times P \][/tex]
PART B:
If they purchase one computer and five games, we substitute G = 5 into the expression:
[tex]\[ T = 499 + 5 \times 49.99 \][/tex]
Now, we can calculate:
[tex]\[ T = 499 + 5 \times 49.99 \]\[ T = 499 + 249.95 \]\[ T = 748.95 \][/tex]
So, they will spend $748.95 before sales tax.
PART C:
Let's define an additional variable:
- K : Number of extra controllers
- R: Cost of one extra controller ($24.99)
The algebraic expression to describe how much they spend in total before sales tax when they purchase one computer, any number of games, and any number of extra controllers is:
[tex]\[ T = C + G \times P + K \times R \][/tex]
If they purchase one computer, five games, and three extra controllers, we substitute G = 5 and K = 3 into the expression:
[tex]\[ T = 499 + 5 \times 49.99 + 3 \times 24.99 \][/tex]
PART D:
Now, we can calculate:
[tex]\[ T = 499 + 5 \times 49.99 + 3 \times 24.99 \]\[ T = 499 + 249.95 + 74.97 \]\[ T = 499 + 324.92 \]\[ T = 823.92 \][/tex]
So, the total cost before sales tax if Homer and Bart purchase one computer, five games, and three extra controllers would be $823.92.
THANKS IN ADVANCE!
Jenna multiplied four numbers together and then divided by -2. The result was a positive value.
Which of the following statements MUST be true?
None of the factors were negative.
All of the factors were negative.
An odd number of factors were negative.
An even number of factors were negative.
Answers
(1)negative x (2)negative = positive x (3)negative = negative x (4)positive = negative
negative divided by negative = positive
odd number were negative
Why is 39 rational ????????????????????
Answers
All whole numbers are rational
I need help with (b) plz help me
Answers
What is the best estimate of (-3/5)(17 5/6)
Answers
[tex]\text{Hey there!}[/tex]
[tex]17\dfrac{5}{6}=17\times6 + 5 =17\times6 \rightarrow102+5 = 107\\\\\text{107 would be your numerator \& 6 would be your denominator.}[/tex]
[tex]17\dfrac{5}{6} = \dfrac{107}{6}[/tex]
[tex]-\dfrac{3}{5}\times\dfrac{107}{6}\\\\5 + 6 = 10\\\\\text{Your new equation is: }\dfrac{-107}{10}\text{Which the mixed number fraction is: }-10\dfrac{7}{10}[/tex]
[tex]\boxed{\boxed{\bf{Answer(s): -10\dfrac{7}{10} \ or \dfrac{-107}{10}}}}\checkmark\\\\\text{Good luck on your assignment and enjoy your day!}\\\\\frak{LoveYourselfFirst:)}[/tex]
For his off-road bike, Jackson measures that he needs a brake cable 24 1/8 in. long. The parts catalog shows cables in decimal measurements. Which cable length should he order?
A. 24.125 in.
B. 24.275 in.
C. 24.375 in.
D. 24.775 in.
Answers
A is the answer.
Answer:
its A
Step-by-step explanation:
what is the difference between the commutative distributive and associative properties when multiplying?
Answers
For addition: (a + b) + c = a + (b + c)
For multiplication: (ab)c = a(bc)
The commutative property is about which operations you can do backward and forward. You can remember this by thinking of people commuting to work: they go to work every morning, then they repeat the same operation backward when they commute home. It looks like this:
For addition: a + b = b + a
For multiplication: ab = ba
Finally, the distributive property tells you what happens when you distribute one operation against another kind in parentheses. It looks like this:
a * (b + c) = ab + ac
In other words, the a is "distributed" over the b and c.
Of course, you can make these work together:
a * (b + (c + d))
= a * ((b + c) + d) (by the associative property)
= a * (d + (b + c)) (by the commutative property)
= ad + a (b + c) (by the distributive property)
= ad + ab + ac (by the distributive property again).
Hope this helps.
the sum of two numbers is 90. if 20 is added to 3 times the smaller number, the result exceeds twice the larger by 50. find the number.
Answers
x=smaller number
y=larger number
2y+50= 20+3x (if 20 is added to 3 times the smaller number, the result exceeds twice the larger by 50. find the number.)
x=90-y (isolate x, so you can substitute)
2y+50=20+3(90-y) - (substitution)
2y+50=20+270-3y ( distributive property)
5y+50=20+270 ( add 3y to both sides)
5y+50=290 ( added 20+270)
5y=240 ( subtract 50 from both sides)
y=48 ( divide both sides by 5)
After setting up a system of equations and solving them simultaneously, the two numbers are found to be 42 and 48.
To find the two numbers where the sum is 90 and where 20 added to three times the smaller number exceeds twice the larger number by 50, we can set up a system of equations. Let x be the smaller number and y be the larger number. The first equation based on the sum of the numbers will be:
x + y = 90
The second equation derived from the condition involving multiplication and addition will be:
3x + 20 = 2y + 50
Solving these two equations simultaneously, we start by rearranging the first equation to find y:
y = 90 - x
Next, we substitute this expression for y into the second equation:
3x + 20 = 2(90 - x) + 50
Simplify and solve for x:
3x + 20 = 180 - 2x + 50
5x = 210
x = 42
Now substitute x back into the equation for y:
y = 90 - 42
y = 48
The two numbers are 42 and 48.
65.5kg take away 3500 grams
Answers
The average length of a ladybug can range from 0.08 to 0.4 inch. Find two lengths that are within the given span.
Answers
Two lengths within the average range for a ladybug could be 0.2 inches and 0.35 inches, both of which are between the minimum of 0.08 inches and the maximum of 0.4 inches.
The average length of a ladybug can range from 0.08 to 0.4 inch. To find two lengths that are within the given span, we can select any two numbers that fall between these two values. For instance:
The first length could be 0.2 inches, which is exactly in the middle of the range.The second length could be 0.35 inches, which is closer to the upper end of the range but still within the given span.These lengths are examples of measurements that would fall within the typical size range of a ladybug.
which of the following best represents the average rate at which infants can grow in height during the first four years after birth.
*3 inches per month
*3 inches per year
*3 feet per month
*3 feet per year
Answers
I'm pretty sure that the answer is three inches PER YEAR because think, there is 12 months in a year so if he grows 3 inches per month for 4 year he/she would be taller than an 8 year old, so per year makes more sense.
Evelyn evaluated 1 and 6/7 - 3/4. Each statement below is a way for Evelyn to check her answer.
Use the drop down menus to complete each statement.
If the sum of her anwser is 3/4 is 1, Evelyn's answer is A. Too high , B. Too low, C. Correct?
If the sum of her answer and 3/4 is 1 and 6/7 , Evelyn's answer is A. Too high , B. Too low, Or C. Correct?
If her answer is minus 3/4 is 1 and 6/7, Evelyn's answer is A. Too high , B.Too low , C.Correct?
Answers
if the sum of her answer and 3/4 is 1, evelyn's answer is too low
if the sum of her answer and 3/4 is 1 and 6/7, evelyn's answer is correct
if her answer is -3/4 and 1 and 6/7, her answer is too high
The required solutions are as follows,
(a) Evelyn's answer is Too low, Option B is correct.
(b) Evelyn's answer is correct, and Option C is correct.
(c) Evelyn's answer is Too high, Option A is correct.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
According to the question,
Evelyn evaluated 1 and 6/7 - 3/4 as,
= 1 6/7 - 3/4 and add 3/4 later,
= 1 6/7 -3/4 + 3/4
= 1 6/7
So,
If the sum of her answers is 3/4 is 1,
Evelyn's answer is Too low, Option B is correct.
If the sum of her answer and 3/4 is 1 and 6/7
Evelyn's answer is correct, and Option C is correct.
If her answer is minus 3/4 is 1 and 6/7,
Evelyn's answer is Too high, Option A is correct.
Learn more about arithmetic here:
https://brainly.com/question/11424589
#SPJ2
teresa earns $6.25 per hour. Calculate he wage for the week where she works the following number of hours:
Answers
Unit rate for 490 in 3 1/2 hour
Answers
ans. is (490/3.5) = 140.
what is 1995298 rounded to the nearest 10000
Answers
Tom performed a total of 100 hours of community service. He served at three charities- Salvation Army, Red Cross and Rescue Missiom. The number of hours he served at the Red Cross was 19 hours more than at the Salvation Army. The number of hours he served at the Rescue Mission was 8 hours more than what he served at the Red Cross
Answers
x + y + z = 100
The equations that can be derived from the given and the assigned variables,
y = x + 19
z = y + 8
Expressing the times in terms of variable x,
y = x + 19
z = (x + 19) + 8 = x + 27
Solving for the value of x,
x + (x + 19) + (x + 27) = 100
The value of x from the equation is 18.
y = 18 + 19 = 37
z = 18 + 27 = 45
The number of hours he spent in three charities are 18, 37, and 45, respectively.
Tom volunteered 18 hours at the Salvation Army, 37 hours at the Red Cross, and 45 hours at the Rescue Mission.
Let S represent the number of hours Tom served at the Salvation Army.
The number of hours at the Red Cross is 19 hours more than at the Salvation Army,R = S + 19.The number of hours at the Rescue Mission is 8 hours more than what he served at the Red Cross,
M = R + 8.
Since the total number of hours Tom served is 100, we have,
S + R + M = 100
Substitute R and M with the expressions in terms of S:
S + (S + 19) + (S + 19 + 8) = 100
S + S + 19 + S + 27 = 100
3S + 46 = 100
3S = 54
S = 18
So, Tom served 18 hours at the Salvation Army. Now, we find the hours for the other two charities,
R = S + 19= 18 + 19
= 37 hours at the Red Cross.M = R + 8
= 37 + 8
= 45 hours at the Rescue Mission.
In summary, Tom volunteered 18 hours at the Salvation Army, 37 hours at the Red Cross, and 45 hours at the Rescue Mission.
Complete question-
Tom performed a total of 100 hours of community service. He served at three charities – Salvation Army, Red Cross and Rescue Mission. The number of hours he served at the Red Cross was 19 hours more than at the Salvation Army. The number of hours he served at the Rescue Mission was 8 hours more than what he served at the Red Cross. Find the number of hours he volunteered at each charity.
Adam travels 248 miles on Monday and 167 miles on Tuesday. Estimate the total number of miles Adam travels
Answers
Answer:
Adam travels total 415 miles.
Step-by-step explanation:
The distance Adam travels on Monday = 248 miles
The distance Adam travels on Tuesday = 167 miles
We have to calculate the total number of miles Adam travels.
Total number of miles Adam travels = distance traveled on Monday + distance traveled on Tuesday
= 248 + 167
= 415 miles
Adam travels total 415 miles.
Solve the equation for y. Leave your answer in terms of π.
π=7x−2y
Answers
7x - π =2y
y = (7x - π) / 2
Answer:
The value of the equation for y is [tex]y=\frac{-\pi+7x}{2}[/tex].
Step-by-step explanation:
Consider the provided equation.
[tex] \pi=7x-2y[/tex]
We need to solve the equation for y.
Subtract 7x to both sides of the equation.
[tex] \pi-7x=7x-7x-2y[/tex]
[tex] \pi-7x=-2y[/tex]
Divide both the sides by -2.
[tex] \frac{\pi-7x}{-2}=\frac{-2y}{-2}[/tex]
[tex]y= \frac{\pi-7x}{-2}[/tex]
[tex]y=\frac{-\pi+7x}{2}[/tex]
Hence, the value of the equation for y is [tex]y=\frac{-\pi+7x}{2}[/tex].
to make a greeting card Bryce use 1/8 sheet of red paper 3/8 sheet of green paper and 7/8 sheet of white paper how many sheets of paper did Bryce use?
Answers
Considering the one time deposit and monthly rent, the equation y=1200 + 400x can be used to represent y
Answers
Answer: $1200
Step-by-step explanation:
162 water bottles in 9 cases =
Answers
Explain how to determine whether to move right or left on a number line when adding rational numbers
Answers
4 + -5
You move to the left because 5 is negative and the result is -1