Answer:y=4x^2+5x+1
Step-by-step explanation:
Just did the quiz on big ideas math
The equation of the parabola which passes through the points (-2, 7) , (1, 10) , and (2, 27) is y = (25/6)x² -(17/6)b + (1/3)c.
What is a parabola?A plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.
We know equation of a parabola is y = ax² + bx + c.
Given are three points (-2, 7) , (1, 10) , and (2, 27).
If these points lie on the parabola it must verify that [tex]y_o = ax^2_o + bx_o + c.[/tex]
Therefore,
7 = a(-2)² + b(-2) + c = 0
7 = 4a - 2b + c ...(i)
10 = a(1)² + b(1) + c = 0
10 = a + b + c ...(ii)
27 = a(2)² + b(2) + c
27 = 4a + 2b + c...(iii)
Now adding eqn(i) and eqn(ii) we get 8a + 2c = 34...(iv)
Now multiplying eq(ii) by 2 and adding it to eq(i) we get 6a + 3c = 27...(v).
Now multiplying eqn(iv) by 3 and (v) by 2 and subtracting them we get a = 25/6.
Putting the value of an in eqn(iv) we get c = 1/3.
Similarly substituting the value of a and c in eqn(ii) we get b = -17/6.
∴ The equation of the parabola is y = (25/6)x² -(17/6)b + (1/3)c.
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Ann's Ride
10
1. Ann went on a bicycle trip. The graph shows the
relationship between time and distance traveled by Ann.
9 8
a)
Write a function d(1) for her distance in miles
traveled in terms (1) of the time in hours.
6
b)
Find d(3)
distance in miles
5
c)
Draw a graph of Ann's speed in miles per hour
in terms of the time in hours.
4 3
d)
Write a function s(t) for her speed in
terms of the (1) time.
To build a computer, you need to buy a motherboard for 120 dollars, a CPU for
100 dollars, RAM memory for 45 dollars, storage for 30 dollars, a case for 15
dollars, and a power supply for 50 dollars. What is the cost of building 10
computers?
I got 3600 dollars as my answer, is my answer correct?
Answer:
Your answer is correct. Good job!
Step-by-step explanation:
The sum of 3 consecutive numbers equal 87, find the numbers
Answer:
28, 29, 30
Step-by-step explanation:
simplify (2x+1)^2
what is the answer?
Answer:
Step-by-step explanation:
4x^2+4x+1
The prices of 4 jars of pasta sauce are shown below:
Jar 1 : $1.60 16oz Jar 2: $2.40 20oz
Jar 3: $2.64 24oz
Jar 4: $2.88 32oz
Which jar of pasta sauce has the greatest unit
price?
A. Jar 1
B. Jar 2
C. Jar 3
D. Jar 4
What did you do to get your answer?
who is nepali prime minister
The prime minister of Nepal is K.P ( Khadga Prasad) Sharma Oli.
The present primeminister of Nepal is Sher Bhadur Deuba...............
Mrs. Snell's math test has twenty questions and is worth 100 points. The test consists of multiple choice questions worth 3 points each and short answer questions worth 11 points each. How many multiple choice questions are on the test? Explain how you determined your solution.
Answer:
The number of multiple-choice questions are 15.
Step-by-step explanation:
Mrs. Snell's math test has twenty questions and is worth 100 points.
The test consists of multiple-choice questions and short answer questions.
Let M represents the Multiple choice questions.
Let S represents the short answer question.
It is given that the total number of question are 20.
[tex]S+M=20[/tex] ...(1)
Also, multiple-choice questions worth 3 points each, and short answer questions worth 11 points each. The total worth of the test is 100 points.
[tex]11S+3M=100[/tex] ...(2)
Multiply equation (1) by 3 and subtract from equation (2).
[tex]11S+3M=100\\3S+3M=60\\\underline{-\:\:\: -\:\:\:\:\:\:\:\:-\:\:\:\:\:\:}\\8S\:\:\:\:\:\:\:\:\:\:\:\:\:=40\\S\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=5[/tex]
The total number of short answers is 5.
Put S=5 in equation 1.
[tex]5+M=20\\M=15[/tex]
Hence, the number of multiple-choice questions are 15.
a motorist is pumping gas into his car at a rate of 5/12 of a gallon every 1/24 of a minute. At this rate how many gallons of gas will he have pumped into his car in 1/2 of a minute?
Answer:
5 gallons.
Step-by-step explanation:
5*12=60
60/12=5
Please solve the equation
Answer: c
Step-by-step explanation:
How do you prove that two lines are parallel
Answer:
they are side by side but not intersect
Answer:
If they are side by side and do not cross
Step-by-step explanation:
Hope this helps :D
Write an equation of the line through the point (-3,-8) and perpendicular to the line x = -7.
The slope of the x = - 7 equals infinite...
We know that the slopes of the perpendicular lines are inverse and symmetrical to each other ;
So ;
[tex](slope) \times \infty = - 1[/tex]
[tex]slope = - \frac{1}{ \infty } \\ [/tex]
[tex]slope = 0[/tex]
This the slope of the line.....
_________________________________
We have following equation to find the line :
[tex]y - y(through \: point) = (slope) \times ( \: x - x(t \:p) \: ) \\ [/tex]
Now just need to put the coordinates and the slope ;
Look :
[tex]y - ( - 8) = 0 \times (x - ( - 3))[/tex]
[tex]y + 8 = 0[/tex]
[tex]y = - 8[/tex]
And we're done....
Thanks for watching buddy good luck.
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if £2000 is placed into a bank account at a compund intrest per year of 3%, how much money will there by after 2 years
Answer:
£2120
Step-by-step explanation:
First, you need to find 3% of £2000
£2000 ÷ 100 = 20
20 x 3 = £60
Since you gain £60 per year, you gain £120 for two years
£2000 + £120 =
£2120
Pls help
Will award brainlist thing answer all the questions pls
Answer:
1. 5/-6
2. 1
3. 2/7
4. 5/3
5. 8/3
6. 3/-5
I will give brainlest
Sean wrote the expression 72 + 42. Rana used the greatest common factor of those two numbers to write an equivalent expression. Which expression did Rana write?
6(19)
6(12 + 7)
12(6 + 4)
2(36 + 21)
what is the correct order of terms from largest to smallest: macromolecule element and monomer
Answer:A long molecule consisting of many similar or identical monomers linked together. it is attracted to any other element that has an electron that is also alone. Put the following systems in order from smallest to largest: polymer, atom, macromolecule, monomer. Atom, monomer, polymer, macromolecule.
Step-by-step explanation:
Which of the following documents were influenced by John Locke's principles?
A. MAGNA CARTA
B. U.S. Declaration of Independence
C. English Bill of Rights
D. Estates General
Answer:U.S Declaration of Independence
Step-by-step explanation:
Convert 1.3 miles to inches
*Can you break it down show your steps on how you got it!
Answer:
1.3 miles = 82370 inches
Step-by-step explanation:
Formula: multiply the value in miles by the conversion factor '63360'.
So, 1.3 miles = 1.3 × 63360 = 82368 inches.
1.3 miles is equal to 82370 inches
We know that,
1 miles = 63360 inches,
To convert miles into inches, multiply the value in miles by the conversion factor '63360'.
1.3 miles = 1.3 × 63360 = 82368 inches.
Therefore, 1.3 miles = 82370 inches.
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The function shown models the depth d (in inches) of snow on the ground during the first 9 hours of a snowstorm, where t is the time in hours) after
the snowstorm begins
Complete Question:
The function shown models the depth d (in inches) of snow on the ground during the first 9 hours of a snowstorm, where t is the time (in hours) after the snowstorm begins.
The -intercept means that there were[ ]inch(es) of snow on the ground at the start of the storm and the slope means that[ ]inch(es) of snow falls every hour during the storm.
Function: d(t)= 1/2t+6
Answer:
[tex]b = 6[/tex]
[tex]m = \frac{1}{2}[/tex]
Step-by-step explanation:
Given
[tex]d(t)= \frac{1}{2}t+6[/tex]
Required
Determine the y intercept and the slope
y-intercept:
[tex]d(t)= \frac{1}{2}t+6[/tex]
A function has a format of:
[tex]d(t) = mt + b[/tex]
Where b represent the y intercept:
By comparison of [tex]d(t) = mt + b[/tex] and [tex]d(t)= \frac{1}{2}t+6[/tex]
[tex]b = 6[/tex]
Slope:
A function has a format of:
[tex]d(t) = mt + b[/tex]
Where m represent the slope
By comparison of [tex]d(t) = mt + b[/tex] and [tex]d(t)= \frac{1}{2}t+6[/tex]
[tex]m = \frac{1}{2}[/tex]
Answer:
Step-by-step explanation:
graph d(t)=1/2t+
the number of calories in a container of milk is directly proportional to the amount of milk in the container. if there are 160 calories in an 8-ounce glass of milk, find the number of calories in a 15-ounce of milk?
Answer:
300
Step-by-step explanation:
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
160 calories = 8-ounce glass of milk
300 calories = 15-ounce glass of milk
The number of calories in 15-ounce of milk is 300 calories.
What is a unit rate?Unit rate is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
In 30 minutes, a man walk for 1.5 miles.
We have,
160 calories = 8-ounce glass of milk
Multiply 15/8 on both sides.
15/8 x 160 calories = 15/8 x 8-ounce glass of milk
15 x 20 calories = 15-ounce glass of milk
300 calories = 15-ounce glass of milk
Thus
160 calories = 8-ounce glass of milk
300 calories = 15-ounce glass of milk
The number of calories in 15-ounce of milk is 300 calories.
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which of these groups values plugged into the TVM solver of a graphing calculator will return the same value for PV as the expression ($415)((1+0.003)^24-1)/(0.003)(1+0.003)^24
Answer:N=24; I%=3.6; PV = ; PMT = -415; FV=0; P/Y= 12; C/Y = 12; PMT:END
Step-by-step explanation:
Convert 1 inch into feet. Round your answer to the nearest hundredth.
Answer:search it
Step-by-step explanation:
asearch it
what is the compound inequality x<10 and x>2
Answer:
[tex]2<x<10[/tex]
-4 5/1 - 6 4/6=??? help!
Answer:
-15 2/3.
Step-by-step explanation: First off, I performed the equation -4 5/1 - 6 4/6, yielding -15.6. I then translated that to a fraction. How to do that, you ask?
Example #1
Convert 0.32 to fraction:
0.32 = 32/100
Find the greatest common divisor (gcd) of the numerator and the denominator:
gcd(32,100) = 4
Reduce the fraction by dividing the numerator and the denominator with the gcd:
0.32 = (32/4) / (100/4) = 8/25
Example #2
Convert 2.56 to fraction:
2.56 = 2+56/100
Find the greatest common divisor (gcd) of the numerator and the denominator:
gcd(56,100) = 4
Reduce the fraction by dividing the numerator and the denominator with the gcd:
2+56/100 = 2 + (56/4) / (100/4) = 2+14/25
In your problem the final answer would result in -15 2/3. Hope this answered your question.
Answer:
44
Step-by-step explanation:
-4 5/1 - 6 4/6 turn them into fractions you should get -20/1 - 144/6 then to subtract you have to have a comen denominater and it is 6 so 144/6 is okay but you need to do -20/1 x 6 and you get 120/6 so now we have -120/6 - 144/6 = 44 because a negitive and a negitive make a positive.
What are the coordinates of PQR after a dilation with a scale factor of 2
In a flower garden, there are 4 tulips for every 9 daisies. If there are 24 tulips, how many daisies are there?
A.
58
B.
52
C.
56
D.
54
Answer:
B 52 hope this helps!!!!
Step-by-step explanation:
Adrian has some number of pets. Lisbet has 2 more pets than adrian. Nicole has 4 times as many pets as Adrian. If All together they have 12 pets, how many pets does each person have.
Answer:
2
Step-by-step explanation:
2+2=4
2*4=8
8+4=12
20 POINTS PLEASE HELP ME WITH GEOMETRY
Answer:
5: d
6: c
7: parallel
SOMEONE PLEASE HELP ME!!!
Answer:
5
Step-by-step explanation:
because i serched it up
Answer:
A
Step-by-step explanation:
Kelly bought 8 boxes of sunglasses at a swap meet. Each box had 15, 20, or 25 pairs in it. Kelly estimates a reasonable number of sunglasses to be 110.
Is this a reasonable estimate?
Answer:
NO
Step-by-step explanation:
Because 8 * 15 = 120 so even if they all had 15 in hem here would be at LEAST 115
No. The reason is that if all the boxes had even 15 pairs in them, the least amount, it would be 120 not even 110. An ideal estimate would be something in between 200 and 120.
NEED NOW!!! If the two friends in excercise 2 race for 4 miles at their constant rates who will win the race.!!!
Answer:8
Step-by-step explanation: