Mathematics High School
Answers
Answer 1
Answer:
The quadratic equation is;
y = 3x^2-7x + 5
when x = 4, y = 25
Step-by-step explanation:
Mathematically, the general form of a quadratic equation is;
y = ax^2 + bx + c
From the first point, we have that x = 0
Thus;
5 = a(0)^2 + b(0) +c
c = 5
Now, in a case when x is 2
3 = a(2)^2 + b(2) + 5
3 = 4a + 2b + 5
4a + 2b = -2 ••••••(i)
when x = 6
71 = a(6)^2 + b(6) + 5
66 = 36a + 6b ••••••(ii)
From equation i,
2b = -2-4a ••••(iii)
we can rewrite equation ii as
66 = 36a + 3(2b)
Substitute iii into ii
66 = 36a + 3(-2-4a)
66 = 36a - 6 - 12a
66 + 6 = 36a -12a
24a = 72
a = 72/24
a = 3
Recall;
2b = -2-4a
2b = -2-4(3)
2b = -2-12
2b = -14
b = -14/2
b = -7
So the quadratic equation would be;
y = 3x^2 -7x + 5
Now let us test;
when x = 10, y = 235
That would be:
y = 3(10)^2 -7(10) + 5
y = 300 - 70 + 5
y = 235
This shows that the derived quadratic equation is correct
Now, when x = 4; we have it that;
y = 3(4)^2 -7(4) + 5
y = 48 -28 + 5
y = 20 + 5 = 25
Related Questions
HELP ASAP !!!
I dont know how to do this i really need help
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Answer:
1 = A
-1/3 = C
5/6 = B
I am pretty sure
Please help me I’m stuck
Answers
Answer:
[tex] {x}^{2} = {(13 - 6)}^{2} + {9}^{2} = {7 }^{2} + {9}^{2} \\ = 130 \\ x = \sqrt{130} = 11.4[/tex]
Fund the equation of the line that passes through the points (1,2) and (3,12).
Give your answer in the form
y=mx+c
Some use y=mx+b
Answers
Answer:
y=5x-3
Step-by-step explanation:
slope is 5, plug in (1,2) for x and y to find b
Is a trapezoid always a square?
Answers
No it is not trust me you will lean that as a freshmen
Answer:
No
Step-by-step explanation:
A trapezoid is never a square. A trapezoid only has one pair of parallel lines and a square has two.
PLEASE HELP ME AGAINNN
Answers
B.The mode. Because the mode is 7 dollars. It is even lower the average.
How can I find the slope of a functional relationship?
Answers
Step-by-step explanation:
y2-y1/x2-x1
is how you can find the slope
For flights from a particular airport in January, there is a 30 percent chance of a flight being delayed because of icy weather. If a flight is delayed because of icy weather, there is a 10 percent chance the flight will also be delayed because of a mechanical problem. If a flight is not delayed because of icy weather, there is a 5 percent chance that it will be delayed because of a mechanical problem. If one flight is selected at random from the airport in January, what is the probability that the flight selected will have at least one of the two types of delays?
(A) 0.065 (B) 0.335 (C) 0.350 (D) 0.450 (E) 0.665
Answers
Answer:
0.335
Step-by-step explanation:
1. There is a 30 percent chance of a flight being delayed because of icy weather ,then the probability of being delayed is 0.3 and of being not delayed is 0.7.
2. If a flight is delayed because of icy weather, there is a 10 percent chance the flight will also be delayed because of a mechanical problem, then the probability of being delayed is 0.1 and the probabilty of not being delayed is 0.9.
3. If a flight is not delayed because of icy weather, there is a 5 percent chance that it will be delayed because of a mechanical problem (MP), then the probability of being delayed is 0.05 and the probabilty of not being delayed is 0.95. (See attached probability tree)
Delayed of icy weather - 0.3
Delayed of MP when weather is not icy - 0.7·0.05=0.035
Now, if one flight is selected at random from the airport in January, the probability that the flight selected will have at least one of the two types of delays is
0.3+0.035=0.335
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Help plzzzzz help me
Answers
Answer: 10 < x < 60, or x is from 10 to 60
Step-by-step explanation: A domain of a graph consists of all of the input values shown on the x-axis while the range consists of all of the output values shown on the y-axis. Since the question asks to find the domain, you should look at the values of the graph from left to right. The domain includes all real numbers. Notice the black horizontal line on the graph and match up the beginning of it and the end of it with the values on the x-axis. The line begins at an x-value of 10 and ends at an x-value of 60; therefore, the domain (x-values) is from 10 to 60.
Find a volumn please help me
Answers
Step-by-step explanation:
In cuboid .
Volume
= Length * breadth * height
= 12 m * 6 m * 5 m
= 360 m³
Hope it will help :)❤
Answer:
360 m^3
Step-by-step explanation:
To find volume we need to do length × width × height
We know the length is 12, the width is 6 and the height is 5
[tex]12*6=72[/tex]
[tex]72*5=360[/tex]
Once you have multiplied the numbers, you add the form of measurement which in this case is meters/m. So we will add m to the end.
Also since it is volume, we need to add ^3
360 m^3
will mark brainlist + 30 points .. please help asap!!
This probability distribution shows the
typical distribution of the number of shoes
in a teenager's closet.
Shoes
1
2
3
4
5
Frequency
12
20
38
20
10
Using this distribution, find the probability
that a teenager has exactly 2 pairs of shoes
in their closet.
p = [?]
Answers
Answer:
is 20 is your answer I believe
Answer:
p=2/20
p=1/10
the probability that a teenager has exactly 2 pairs of shoes is 1/10
A data set has a lower quartile of 3 and an interquartile range of 5. Which box plot could represent this data set?
0
5
10
15
20
25
5
10
15
20
25
10
15
20
25
10
15
20
25
Answers
Answer:
could you put a picture up of the different box plots to choose from?
Step-by-step explanation:
In AEFG, the measure of ZG=90°, FG = 15 feet, and GE = 87 feet. Find
the measure of ZF to the nearest degree.
Answers
Answer:
80
Step-by-step explanation:
delta math
Welcome for the answer. This answer is for good intentions only to report if necessary. Thank you have a great rest of your day.
The vertex of a function is (-3, 0) and is a minimum. What is the axis of symmetry and how is it determined?
Answers
The axis of symmetry would be -3 because it is always the (x) of the vertex
You work at the library for 25 25 hours each month for $7 $ 7 per hour. You also earn $40 $ 40 each month for completing yard work. Use the drop-down menus to complete the equation to show a way to calculate your total monthly income, m .
Answers
Answer:m =
(25×7) + 40 = m
Step-by-step explanation:
i just know how to do this my brain just does it
I need help to get the answer,
Answers
Answer:
4.25 hours
Step-by-step explanation:
A fully charged phone would be at 100%, so we'll set y equal to 100 and solve for x:
100=20x+15
85=20x
4.25=x
So Sammi's phone will be fully charged in 4.25 hours.
Answer:
4.25 hours
Step-by-step explanation:
"Fully charged" means the percentage should be 100%.
Substitute 100 for y then solve for x.
[tex]100=20x+15\\85=20x\\x=\frac{85}{20}\\x=4.25 \text{ hours}[/tex]
If a Hasan can eat 1/3 of his Shawarma in 1/2 minutes, how many Sharama’s can he eat in 2 minutes?
Answers
Answer:
He can eat 4/3 or 1 1/3 of his shawarma
Step-by-step explanation:
620 000 divided by 10 to the 3rd power
Answers
Answer:
620
Step-by-step explanation:
Not only you can find it, but 10 to the third power is 1,000 and 620,000 divided by 1,000 is subtracting the three 0s from it which would equal 620.
Angle α is acute such that cos α = 53
Angle β is obtuse such that sin β = 12
(a) Find the exact value of
(i) tan α
(ii) tan β
(b) Hence show that
tan(α + β) = (m rt3 − n) / (n rt3 + m)
where m and n are positive integers whose values are to be found.
Answers
Answer:
Do You have a picture?
Step-by-step explanation:
What is the surface area to the nearest square inch ? If you answer correctly I will mark you as brainliest and give 20 points
Answers
Answer:
1473 in²
Step-by-step explanation:
Surface area, including sides and the top lid:
S = πr² + 2πrh S = 3.14*7² + 2*3.14*7*30 = 1472.66 in² ≈ 1473 in² (rounded)
Solve for x pleasssee help
Answers
Answer:
x=8
Step-by-step explanation:
13=x+5
8=x
Answer:
x = 8
Step-by-step explanation:
Okay, so the top and bottom of a parallelogram are equal (or else it would be a trapezoid), so we just have to construct our cute lil algebraic expression:
x + 5 = 13
So now we have to do the inverse operations thingy:
13 - 5 = 8
So x = 8
tell me if this is wrong so I can fix it
hope this helps:)
Kate is one year and six months younger than her sister. If her sister is 14 years and 2 months old,
how old is Kate?
Answers
If I did it right, Kate is 12 years and 6 months
Peyton invested $300 into a savings account. The equation
A = 300(1.005)12t models the amount in Peyton's account A after t
years. How much will be in Peyton's account after 7 years?
Answers
Hey!
First let’s plug in 7 for t. 300(1.005)12(7), 12*7= 84
300*1.005= 301.5
301.5*84= 25,326
Peyton will have $25,326 in her account after 7 years.
A grocery store collected sales data. It found that when customers buy less bread, they tend to purchase more rice. What can we conclude?
Answers
Answer:
There is a correlation between amount of bread bought and amount of rice purchased. However, there is no causation. This is because there is an increase in the amount of rice purchased with a decrease in the amount of bread bought.
Step-by-step explanation:
We see that there is a correlation between the amount of bread and the amount of rice bought .
When the bread is bought the amount of rice drops and when the amount of bread is decreased the amount of rice increases.
There is no causation meaning there is no direct affect of buying more bread or rice.Buying of rice does not directly cause the purchase of bread.
Hence there is correlation but not causation.
Correlation and causation can occur at the same time when one event causes the other.
Mr. Palmer deposited $850 into a simple interest account for 8 years, earning at an 8% interest rate. What will his total balance be when he checks it? I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link.
a.723.29
b. 1,394.00
c. $1,573.29
d. $68.00
Answers
Answer:
solution given:
principal [P]=$850
time[T]=8years
rate[R]=8%
now
simple interest [S.I.]=[tex] \frac{P×T×R}{100}[/tex] =$ [tex] \frac{850×8×8}{100}[/tex] =$544
so
Total balance=S.I.+P=$544+$850=$1394.
option b.$1,394.00 is your answer
What is the solution to the equation 4/5x=3/10(x+4)?
Oz= -8
O x = 12
O infinitely many solutions
O no solution
Answers
Answer:
[tex]\frac{12}{5}[/tex]
Step-by-step explanation:
4/5x=3/10(x+4) / · 10
8x=3(x+4)
8x=3x+12
8x-3x=12
5x=12 /:5
x=12/5
The difference between 25 and a number is at least 13.
Answers
Answer:
x ≤ 12
Step-by-step explanation:
The problem can be represented by the equation:
25 - x = y and y ≥ 13
So, we find that 25 - 12 = 13, which means that any number greater than 12 would result in a difference lower than 13. This sets 12 as the maximum.
In Algebra, we learn about many types of functions. These functions vary from simple to
complex. Think about the different types of functions we've explored so far (linear,
quadratic, and exponential). What features do they share, and how are they unique?
Answers
Answer:
they share some features like;exponents,
mathematical signs, variables and more
The shared feature is that the 3 are functions relating y and x, and the uniqueness is on the exponent (or degree for the first two cases).
What the functions have in common?
A linear function is:
y = a*x + b
A quadratic function is:
y = a*x^2 + b*x + c
An exponential function is:
y = A*(b)^x
So, the thing that we can see that the functions have in common is that in all of them, the variable y depends on the variable x.
How these functions are different?
Well, the exponents are clearly different.
The linear function is of degree 1, the quadratic function is of degree 2, and in the exponential function the variable is in the exponent (it is not a polynomial like in the first two cases).
If you want to learn more about functions:
https://brainly.com/question/4025726
#SPJ2
w h a t, i s, t h i s . . ?
Answers
Best bet chose E 3^x*x
What was the first step in Ghana’s independence? Kwame Nkrumah became the prime minister. A military coup seized power in the colony. Africans gained a majority in the parliament. Opposition political parties were banned.
Answers
Answer:
c
Step-by-step explanation:
The Africans gained a majority in the Parliament
A key step that led to the independence of Ghana in the year 1957 is that Africans gained a majority in the parliament.
Ghana's independence:
Ghana became an independent country in the year 1957. Ghana is a West Africa country with a general population of about 31 million people and it is a black nation.
A key step that led to the independence of Ghana in the year 1957 is that Africans gained a majority in the parliament.
Learn more about Ghana: https://brainly.com/question/4318962?r
plz help i have been asking thus asking this question for too long
Answers
Answer:
1/12
Step-by-step explanation:
1/6 x 1/2 = 1/12
The answer would be 1/6 IF you took 1/6 of the full sheet of paper, but if you are taking 1/6th of half of the paper, then you are taking half the amount. Basically, you would need two 1/6 pieces of one half to be equivalent to one 1/6th piece on the full sheet.
I'm really sorry if my explanation sounds really confusing
