The function value of given function at x = 3 is 63.
Synthetic division :The given function is,
[tex]f(x)=x^{3} +6x^{2} -2x-12[/tex]
We have to calculate function value when [tex]x=3[/tex].
[tex]f(3)=3^{3} +6*3^{2}-2(3)-12\\ \\f(3)=27+54-6-12\\\\f(3)=81-18\\\\f(3)=63[/tex]
Thus, the function value of given function at x = 3 is 63.
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please help it’s due soon marking brainlest look at my examples determine whether the two expressions are equivalent. if so tell what peppery is applied. if not explain why.
Answer:
1. Yes
2. Yes
3. No
4. No
5. No (that is plus not multiply)
Three guys rent a hotel room for the night. When they get to the hotel they pay the $30 fee, then go up to their room. Soon the bellhop brings up their bags and gives the lawyers back $5 because the hotel was having a special discount that weekend. So the three lawyers decide to each keep one of the $5 dollars and to give the bellhop a $2 tip. However, when they sat down to tally up their expenses for the weekend they could not explain the following details:
Each one of them had originally paid $10 (towards the initial $30), then each got back $1 which meant that they each paid $9. Then they gave the bellhop a $2 tip. HOWEVER, 3 • $9 + $2 = $29.
The guys couldn't figure out what happened to the other dollar. After all, the three paid out $30 but could only account for $29.
Can you determine what happened?
Answer:
I didnt understand but lets just say the bellhop took ot
HELPPP PLS
What is the vertex form of the equation?
y = x² – 2x+8
Okay is this correct? Pls lmk! <3
Answer:
yup!
Step-by-step explanation:
Answer:
Yes absolutely! *gives thumbs up*
For her parents' anniversary party, Sarah is considering using one of two venues. A hotel in Booneville will cost $904 for a reservation, plus $86 per person. A restaurant in the same city will cost $89 per person, in addition to $901 for the reservation. In order to make the best decision, Sarah figures out how many attendees it would take to have the venues cost the same amount. How many attendees would that be? What would the total cost be?
Answer:
x = 1
$990
Step-by-step explanation:
First you want to write the linear equations for both scenarios
in the first scenario hotel:
y = 86x + 904 where x = # of people, y = total cost
in the second scenario restaurant:
y= 89x + 901
now you want to set them equal to each other since you want to know how many people (x) will be needed to make total costs equal.
86x + 904 = 89x + 901
subtract 86x on both sides to move all x terms on the right
904 = 3x + 901
subtract 901 on both sides to move numbers to the left
3 = 3x
divide both sides by 3
1 = x or x=1
So it would take 1 attendee.
Now plug in x=1 into either equation to find the total cost that is the same.
y = 86(1) + 904
= 86 + 904
= $990
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Please Help !!!! I need ASAP
Tanya is at a fair and has $30 to spend on x number of rides and y number of games. Each ride is $2 and each game is $3. The equation 2x+3y=30 represents this scenario. If Tanya does not play any games, how many rides can she go on?
Answer:
15 rides
Step-by-step explanation:
From the above Question we know that if Tanya goes on a ride, the Algebraic expression = 2x
Where x = number of rides
If Tanya does not play any games, how many rides can she go on?
Note that: Tanya has $30 to spend
This question is solved:
2x = $30
x = $30/2
x = 15 rides
Hence, if Tanya does not play any games she can go on 15 rides
When Mr. Davidson preheated his oven, the oven's temperature rose 3 degrees in 1 6 of a minute. At that rate, how much will the oven heat up in 1 minute?
Answer:
18 degrees
Step-by-step explanation:
When Mr. Davidson preheated his oven, the oven's temperature rose 3 degrees in 1/ 6 of a minute. At that rate, how much will the oven heat up in 1 minute?
Solving the above question
1/6 minute = 3 degrees
1 minute = x
Cross y
1/6x = 3 × 1
x = 3 ÷ 1/6
x = 3 × 6
x = 18 degrees
The oven will heat up 18 degrees in 1 minute
2x +y =4 and 5x + 4y = 7
let 'm' be mid value of class and 'L' be upper limit in frequency table. The lower limit of class is ? Please prove and answer
Answer:
Lower Limit = 2m-L
Step-by-step explanation:
Given that,
The mid value of class = m
Upper limit in the frequency table = L
We need to find the lower limit of the class.
The mid value of a class is given by :
[tex]\text{mid-value}=\dfrac{\text{lower limit + upper limit}}{2}\\\\m=\dfrac{L+\text{lower limit}}{2}\\\\2m=L+\text{lower limit}\\\\\text{lower limit}=2m-L[/tex]
Hence, the lower limit of the class is 2m-L.
F a person is earning $34,923 per year, approximately how much should they be saving, including retirement and other savings?'
Answer:
$6,984.60 per year.
Step-by-step explanation:
Using a normal and very common budget, you should divide your monthly/annual salary into 3 main tiers, which are the following
50% = necessities (rent, food, bills, etc)30% = lifestyle choices (clothes, entertainment, hobbies, etc)20% = savings (retirement, emergency fund, etc.)If we go by this budget then we would need to turn the 20% into a decimal by dividing it by 100 and then multiply that decimal by the person's annual salary.
20% / 100 = 0.20
$34,923 * 0.20 = $6,984.60
Finally, we can see that the individual should be saving roughly $6,984.60 per year.
50 points!!!!!!!
Jeremy has heard a lot of people in the club talking about tackling a 950-foot rock formation. Jeremy has set a limit that they won’t climb anything that takes longer than 7 hours, so they have enough time to travel to and from the place. Will it be possible to climb a 950-foot rock formation within Jeremy’s time constraint? Explain why or why not.
Answer:
Depends on how fast they climb. If we knew how fast they climb then we can tell, but without knowing how fast they climb we can't tell.
Step-by-step explanation:
In order to prove the triangles pictured below as congruent BY SAS, we would need to know ___
a. AB≅AD
b. angle BAC≅angle DAC
c. angle ABC≅angle ADC
d. angle BCA≅angle DCA
Answer: D
Step-by-step explanation: i got it right
how do you solve 4devided by
12 step by step long division
Answer:
3
Step-by-step explanation:
4 x 3 = 12
4 ÷ 12 = 3
its like multiplication just changing the way you solve it
Answer:
.33
Step-by-step explanation:
If angle 2=3x+17 and angle 3 = 5x- 21 what is angle 1
Answer:
(3x - 17)
Step-by-step explanation:
hope this helps
Out of 30 girls who tried out for the lacrosse team, 12 were selected. Out of 40 boys who tried out, 16 were selecte. Are the ratios of the number of students on the team to the number of students trying out the same for both boys and girls:? How do you know?
Answer:
The answer is yes
Step-by-step explanation:
The ratio for both is 2.5
Answer:
Boys:
ratio = 16/40 = 2/5
Girls:
ratio = 12/30 = 2/5
They are the same.
Can y'all please solve this.....will give brainliest ^_^
Answer: a) 1.1962
after sig figs it’s 1.2
b) 0.4321
after sig figs it’s 0.43
Step-by-step explanation:
Answer:
a.) x=1.2
b.) y 0.43
Step-by-step explanation:
A. I would start with the square root on top. That equals 6.004
Divide that by 5.019.
=1.1963
B. I would start with the radical. Solving the radical results in 3.9939
Then, square 3.04
That would equal 9.2416
3.9939/9.2416= 0.4322
in 2011, there were 3223 sea otters in monterey Bay is approximately 77 square miles. to the nearest whole number, what was the density of the sea otter population? (explain your answer)
Answer:
42 sea otters per mi2
During a five-year period 24% of snowstorms in a certain city caused power outages. 57 of the snow storms did not cause power outages how many snow storms were in the city in the five-year period
Answer:
divide it and do multiply and add it and subtract it
The number of snow storms were in the city in the five-year period is 75.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, during a five-year period 24% of snowstorms in a certain city caused power outages.
Let the number of snow storms were in the city in the five-year period be s.
57 of the snow storms did not cause power outages.
So, the equation is
s -24% of s =57
s-0.24s=57
0.76s=57
s=57/0.76
s=75
Therefore, the number of snow storms were in the city in the five-year period is 75.
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Two families go skiing on a Saturday. Together, they spend $95 on pizza at a local restaurant and $65.73 for breakfast. One family purchases two adult lift tickets and four youth lift tickets for $166. Another family purchases four adult lift tickets and five youth lift tickets for $263. How much would it cost two adults and five kids to ski for a day?
Answer:
$189
Step-by-step explanation:
We can create a system of equations to solve this equation. They are as follows:
[tex]2A + 4Y = 166\\4A + 5Y = 263[/tex]
In this case, I used "A" to represent adult lift tickets and "Y" to represent youth lift tickets.
We need to get one of the variable (A or Y) by itself in one of the equations. I am going to use the first equation.
[tex]2A = -4Y + 166\\A = -\frac{4}{2}Y + \frac{166}{2} \\A = -2Y + 83[/tex]
Now that we have A by itself we can plug it into the second equation.
[tex]4(-2Y + 83) + 5Y = 263\\-8Y + 332 + 5y = 263\\-3Y + 332 = 263\\-3Y = -69\\Y = 23[/tex]
We have found Y now lets plug it back into the first equation to find the value of A.
[tex]2A + 4(23) = 166\\2A + 92 = 166\\2A = 74\\A = 37[/tex]
Let's check our variables by plugging them both in to the second equation.
[tex]4(37) + 5(23) = 263\\148 + 115 = 263\\263 = 263[/tex]
Lastly, we can find out how much it would cost 2 adults and 5 kids to ski for a day, using this equation:
[tex]2A + 5Y = ?\\\\2(37) + 5(23) = ?\\\\74 + 115 = 189\\[/tex]
Therefore, 2 adult tickets and 5 kid tickets would cost $189.
Hope this helps!!
- Kay :)
If you have any questions feel free to ask!
A group of 24 people need transportation from a hotel to a concert. They will be picked up by Uber drivers that can fit 4 passengers in their compact car and 6 passengers in their SUV’s. You would like to determine how many compact cars and SUVs could be used to transport the entire group. Let x = the number of compact cars and let y = the number of SUV's.
Write and graph an equation that models the situation.
Answer:
Step-by-step explanation:
Compact cars:
24 divided by 4 = 6
6 cars for 24 people
SUV's:
24 divided by 6 = 4
4 SUV's for 24 people
Answer:
[tex]4x+6y=24[/tex]
See below for graph.
Step-by-step explanation:
A total of 24 people need to be transported.
Let x represent the number of Uber compact cars.
And let y represent the number of SUVs.
So, the number of people that can be picked up by x compact cars is 4x.
And the number of people that can be picked up by y SUVs is 6y.
And the total is 24 people. So, the two terms must total 24. So, we can write:
[tex]4x+6y=24[/tex]
We can convert this to slope-intercept form. First, we can divide everything by 2:
[tex]2x+3y=12[/tex]
Subtracting 2x from both sides yields:
[tex]3x=-2x+12[/tex]
Finally, dividing both sides by 3 yields our linear equation:
[tex]\displaystyle y=-\frac{2}{3}x+4[/tex]
Please refer to the below attachment for the graph.
*Note that we should restrain our graph to only QI. This is because we cannot use negative compact cars of SUVs. Also, only integer points on the line will work, as we cannot have, say, 2.5 compact cars.
**Also, the x- and y-intercepts tell us the maximum of each type needed. Either we need 6 compact cars and 0 SUVs, (6, 0); 4 SUVs and 0 compact cars (0, 4); or a combination of them.
Which expression is equal to 48 + 72?
1.
24(2 + 3)
2.
8(6 + 12)
3.
3(14 + 24)
4.
2(24 + 38)
The expression can be written as 24 (2+3).
What is Distributive Property?The distributive property is also known as the distributive law of multiplication over addition and subtraction. The name itself signifies that the operation includes dividing or distributing something. The distributive law is applicable to addition and subtraction. Let us learn more about the distributive property in this page.
The distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC. This distributive law is also applicable to subtraction and is expressed as, A (B - C) = AB - AC. This means operand A is distributed between the other two operands.
Given:
48 + 72
Now, factorize the above into prime factors
48 = 2 x 2 x 2 x 2 x 3
and, 72 = 2 x 2 x 2 x 3 x 3
Now, rewriting
48 + 72
= 2 x 2 x 2 x 2 x 3 + 2 x 2 x 2 x 3 x 3
= 2 x 2 x 2 x 3 (2 + 3)
=24 (2+3)
Hence, the expression can be written as 24 (2+3).
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an underground mine elevator descends 12% of the total depth every minute. the total depth of the elevator is 75 meters below the ground. How many meters below the ground is the elevator after 2 mins
a. -18 meters
b. -9 meters
c. -4.5 meters
d. -22.5
c + 5d = -13
4c - 5d = 48
Solve the simultaneous equations
c=__
d=__
What is the range of the function graphed below?
Answer:
__________-3<Y<4______________
Curtis estimates that he can run 18 mph. About how many feet per second can Curtis run if there are 5280 feet in a mile?
Answer:26.4 feet per second
Step-by-step explanation:
Answer:
26.4 fps (feet per second)
Step-by-step explanation:
The difference of 10 and 3 times x .
Answer:
10-3x that would be 7x
Step-by-step explanation:
10-3=7
7times x=7x
can i plz have brainliest?
plz?
9 added to twice a number is the same as 27 reduced by 4 times the number
Answer:
x = 12
Step-by-step explanation:
Let the number be x.
9 added to twice a number is the same as 27 reduced by 4 times the number
If we add 9 to the number = (9+x)
If 27 reduced by 4 times the number = (4x-27)
ATQ,
(9+x) = (4x-27)
Taking like terms together,
x-4x = -27-9
-3x = -36
x = 12
Hence, the number be 12.
please help ill give brainliest and 60 points :((( im gonna cry
Answer:
All systems have 2 real solutions.
Step-by-step explanation:
there are X and Y unknowns.
As part of summer camp, Henry goes on a treasure hunt. He starts at the base of a tree and walks 180 feet due north. He then turns and walks 80 feet due east. (Hint: Draw a picture.)
How far is Henry from the tree? Round your answer to the nearest foot.
Answer:
hmmmmmmmmmmmmmmm
62
Step-by-step explanation:
