The graph of y=ax^2+bx+c passes through points (0,5), (1,10), and (2,19). Find a+b+c.
Answers
Answer: a = 2 b = 3 c = 5
Literally a+ b+c = 10, but I don't think that's what the question means to ask.
the equation is 2x² +3x + 5
Step-by-step explanation: Substitute the values of the given coordinates into the formula and use algebra (solve a system of equations by substitution and elimination) to get the values of a,b & c
y=ax²+bx+c using (0,5), (1,10), and (2,19)
5=a(0)²+b(0)+c becomes 5= 0+0 + c .so we find c = 5
10=a(1)²+b(1)+c becomes 10 = a + b + c
19=a(2)²+b(2)+c . becomes 19 = 4a + 2b + c
Substitute the 5 for c. Then rewrite
10 = a + b + 5 becomes 5 = a+ b to eliminate b multiply this be (-2)
(-2)( 5 = a+ b) .to get -10 = -2a - 2b
19 = 4a + 2b + 5 becomes 14 = 4a + 2b
_______________ Add these two
14 = 4a + 2b
-10 = -2a - 2b this will eliminate the "b" term
4 = 2a divide both sides by 2 so you have a = 2
substitute in 10=a(1)²+b(1)+5 to find b
10=2(1)²+b(1)+5 .becomes 5 = 2 + b Subtract 2 from both sides
b = 3
So now you have all three values:
a = 2 b= 3 c = 5
I am attaching the graph. I hope this deserves Brainiest.
Best wishes in your studies!
Related Questions
Which step should be completed first in the following problem 10 (8x 15 - 7 - 4 x3)?
Answers
Help, please. I tried a bunch of different value but none of them matched up. Help if you can,thanks. :))) Andrew goes to the shop to buy some apples and bananas. He goes to purchase 5 apples and 4 bananas, and the total comes to £5.70. Unfortunately, he doesn’t have enough money, so he puts back 1 apple and 2 bananas. The new total is £3.60. What is the cost of 1 apple and the cost of 1 banana?
Answers
Answer:
Applies are £0.50 each and bananas £0.80 each.
Step-by-step explanation:
Represent the numbers of apples and bananas by a and b respectively.
Then:
5a + 4b = £5.70, and:
4a + 2b = £3.60
Let's solve this system using elimination by addition/subtraction. Multiply the 2nd equation by -2, obtaining the equivalent system
5a + 4b = £5.70
-8a - 4b = -£7.20
--------------------------
-3a = -£1.50
Dividing both sides by -3, we get £0.50. Apples are £0.50 apiece.
How much are bananas per piece? Use the first equation; substitute £0.50 for a:
5(£0.50) + 4b = £5.70, or
4b = £3.20. Then b = £0.80.
Applies are £0.50 each and bananas £0.80 each.
At a family gathering there are 100 people. There are 4 less than twice as many women as men and 6 more children are both combined. How many children are at the gathering? Pick one option below.
• 55 Children
• 57 Children
• 53 Children
• 59 Children
Answers
there are 53 children in the family gathering
Answer:
C = 53
Step-by-step explanation:
WHAT WE KNOW
m + w + c =100
2w - 2 = m
6 + w + m = c
-------------------------
FIND C
Find the percent of change on an item that was $44 and now costs $66.
Answers
Answer:
33.3%
Step-by-step explanation:
the increase in price was $22. Find the ratio
$22
-------
$66
which comes out to 0.33333, or 33.3%.
The percent change in the price of the item is 33.3%.
Answer:
It could be 3.3 i'm not to sure- but the other answer was incorrect
Step-by-step explanation:
am I correct? if not what's the correct anwser?
Answers
Answer:
Yes, you are as far as I can tell it looks right to me,
What is the slope of the trend line drawn into the scatterplot? On a graph, a line goes through points (2, 27) and (13, 36). StartFraction 15 Over 163 EndFraction StartFraction 11 Over 109 EndFraction StartFraction 109 Over 11 EndFraction StartFraction 163 Over 15 EndFraction
Answers
Answer:
15/163
Step-by-step explanation: I dont have one
Answer:
i think its D
Step-by-step explanation:
will mark brain edgiunuity ASAP Eight hundred tickets are sold for a play. Thirty-five percent of those tickets were sold in advance. Which equation can be used to find the number of tickets sold in advance? StartFraction 800 divided by 8 Over 35 divided by 8 EndFraction = StartFraction 100 Over 4.375 EndFraction StartFraction 100 divided by 8 Over 800 divided by 8 EndFraction = StartFraction 12.5 Over 100 EndFraction StartFraction 35 times 8 Over 800 times 8 EndFraction = StartFraction 280 Over 6400 EndFraction StartFraction 35 times 8 Over 100 times 8 EndFraction = StartFraction 280 Over 800 EndFraction
Answers
Answer:
D on edge
Step-by-step explanation:
merry christmas my elf on the shelf/Farkle is so good and nice ;)
Answer:
d
Step-by-step explanation:
Samira wants to create a weekly budget. She knows how much she wants to save for a whole year. Which number should she divide the total savings for to find the value of savings for one week?
Answers
Answer: 52 weeks
Step-by-step explanation:
There are 52 weeks in a year, so she should divide her number by 52.
━━━━━━━☆☆━━━━━━━
▹ Answer
52 weeks
▹ Step-by-Step Explanation
1 year = 52 weeks
Since she is trying to find her weekly savings, she would divide by the amount of weeks in a year which is 52 weeks.
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
The sides of a rectangle are a number and 4 less than that same numbers. The perimeter is 56. Find the dimensions of the rectangle.
Answers
Answer:
16m and 12m
Step-by-step explanation:
2x + 2(x - 4) = 56
4x = 64
x = 16
Sides are 16 m and 12 m
х
f(x)
Which exponential function is represented by the
values in the table?
-2
16
-1
8
0
4
1
2
O f(x) =
= {(4)
Of(x) = 4(4)
O f(x) = 4(
o f(x) = ( )
2
1
Answers
Answer:
it's the first one because it's going down by 1/2
The exponential function represented by the values is f(x) = 4(0.5)ˣ.
Exponential functionAn exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
From the table, at point (0, 4):
4 = ab⁰
a = 4
At point (2, 1):
1 = ab²
1 = 4b²
b² = 0.25
b = 0.5
The exponential function represented by the values is f(x) = 4(0.5)ˣ.
Find out more on Exponential function at: brainly.com/question/12940982
What is the slope of the line that contains the points (-1, 2) and (4, 3)? A. 5 B. 1/5 C. -1/5 D. -5
Answers
Answer:
1/5
Step-by-step explanation:
We can find the slope of a line using two points by
m = (y2-y1)/ (x2-x1)
= (3-2)/(4 - -1)
(3-2) /( 4+1)
1/5
Answer:
B. 1/5
Step-by-step explanation:
The slope can be found through two points.
m = rise/run
m = (y2 - y1)/(x2 - x1)
m = (3 - 2)/(4 - (- 1))
m = 1/(4+1)
m = 1/5
Th slope of the line going through the points (-1, 2) and (4, 3) is 1/5.
a Runway is 3100 ft long and 65 ft wide what is the area of the runway in feet squared
Answers
Answer:
201, 500ft²
Step-by-step explanation:
The formula for calculating area in this case is;
A = w × l
This means we're going to take the width of the runway (65ft) and multiply it by the length of the runway (3100ft).
(To make it easier on paper, you can swap the two numbers around, so the higher number is on top, and the smaller number is on the bottom - 3100 × 65. It won't change the answer, but it will make it quicker and easier to get to the result, and lessens the chances making a mistake.)
So the equation you need to do is;
3,100 × 65 = 201, 500.
Add on the units, and there's your answer;
201, 600ft²
Hope this helped!
The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is ___ square units. (Input whole numbers only, such as 8.) plss help 20 or 15 points i believe <3
Answers
Answer:
Area of polygon MNOPQR = 13 units
Step-by-step explanation:
Area of smaller rectangle:
(7-3)= 4 units multiplied by (3-2) = 1 unit
= 4 sq. units.
Area of polygon MNOPQR
= 3*3 units + 4*1 units
= 9 units + 4 units
= 13 units
Let PQRS be a square piece of paper. P is folded onto R and then Q is folded onto S. The area of the resulting figure is 9 square inches. Find the perimeter of square PQRS.
Answers
Answer:
24 inches
Step-by-step explanation:
After folding the piece of paper, the result will be 1/4 the size of the original square. If you multiply the are of the triangle by 4, you will find that the area of the original square is 36 square inches. The square root of 36 is 6, which shows us that the length of each side of the square is 6. To get the perimeter, multiply 6 by 4 to get 24 inches.
Which step is wrong??
Answers
Answer:
step 1 is wrong because when an absolute opens there are two possibilities of solutions and there will be sign ±
Step-by-step explanation:
i hope this will help you :)
Please help I need it
Answers
Answer:
[tex] \frac{1}{3} [/tex]
Step-by-step explanation:
so
just consider the lengh:
[tex] \frac{1}{3} [/tex]
or the width :
[tex] \frac{3}{9} [/tex]
or the area:
[tex] \sqrt{ \frac{3 \times 1}{9 \times 3} } = \sqrt{ \frac{3}{27} } = \sqrt{ \frac{1}{9} } = \frac{1}{3} [/tex]
Help me please this is an assignment due today please help me? 20 – 23 ÷ 4 • 2 + 2
Answers
Answer:
10.5
Step-by-step explanation:
20 – 23 ÷ 4 • 2 + 2
(3) (1) (2) (4)
(1) 23: 4 = 5.75
(2) 5.75*2 = 11.5
(3) 20 - 11.5 = 8.5
(4) 8.5 + 2 = 10.5
Step-by-step explanation:
20-(23/4)×2+2
=20-(5.75×2)+2
=20-11.5+2
=8.5+2
=10.5
In ∆ABC the angle bisectors drawn from vertices A and B intersect at the point D. Find m∠ADB if:
m∠A = α, m∠B = β
Answers
Answer:
Pretty easy (if you know geometry)!
Step-by-step explanation:
First, we know that A and B have angle bisectors. This means the angles that are divided by that angle bisector are equal (or their measures).
Thus, m<DBA= 1/2 Beta; m<DAB=1/2 Alpha.
Time to find m<ADB. Using the sum of all angles in a triangle = 180* theorem, we can come up with this equation:
[tex]180= m<ADB+\frac{1}{2} \alpha +\frac{1}{2} \beta[/tex]
So, solving:
[tex]180-\frac{1}{2} \alpha -\frac{1}{2} \beta =m<ADB[/tex]
So there you go! Hope this helps!
Valerie ran Three and one-fourth laps yesterday, and her coach wants her to run Two and one-half times that many laps today. How many laps will she need to run today? Choose the expression needed to solve the problem. Thirteen-fourths × Five-halves Thirteen-fourths × Two-fifths Four-thirteenths × Five-halves Four-thirteenths × Two-fifths
Answers
Answer:
13/4 * 5/2
Step-by-step explanation:
In the question, it says that her coach wants her to run 2 1/2 TIMES the original 3/4 she had ran. Therefore, you would want to make the fractions into improper fractions, and then multiply, which is how you would get 13/4 * 5/2.
Triangle ABC was rotated about the origin. Which rule
describes the rotation?
A) Ro,90°
B) Ro,180°
C) Ro,270°
D) Ro,360°
Answers
The R stands for "rotation". The "O" as a small subscript means "origin" which is where the x and y axis cross. The 90 degrees means we rotate 90 degrees counterclockwise. This is equivalent to 270 degrees clockwise, but writing [tex]R_0, 270^{\circ}[/tex] is not correct as we don't rotate 270 degrees counterclockwise.
The solution is Option A.
The rotation angle is given by R0 ( 90° )
What is Rotation?The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.
90° clockwise rotation: (x,y) becomes (y,-x)
90° counterclockwise rotation: (x,y) becomes (-y,x)
180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
270° clockwise rotation: (x,y) becomes (-y,x)
270° counterclockwise rotation: (x,y) becomes (y,-x)
Given data ,
Let the triangle be represented as ABC
The coordinate of A = A ( 1 , 4 )
The coordinate of B = B ( 3 , 4 )
The coordinate of C = C ( 3 , 2 )
Now , when the triangle ABC is rotated 90° counterclockwise rotation: (x,y) becomes (-y,x)
Substituting the values in the equation , we get
The coordinate of A' = A' ( -4 , 1 )
The coordinate of B = B ( -4 , 3 )
The coordinate of C = C ( -2 , 3 )
Hence , the rotation is 90° counterclockwise
To learn more about rotation click :
https://brainly.com/question/3956347
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Which of the following is a testable hypothesis? A. Garden plants grow better in wet soil than in dry soil. B. Cats have a completely different personality in comparison to dogs. C. Classical music is better than jazz because stringed instruments, like violins, are used. D. After a long discussion, the people at the meeting finally agreed that it was time for lunch.
Answers
Answer:
A. Garden plants grow better in wet soil than in dry soil.
Step-by-step explanation:
A testable hypothesis is theory that can actually be proven by facts rather than opinions
What is the  property 7x<42
Answers
Answer: division
x = 6
Step-by-step explanation:
Simplifying
7x = 42
Solving
7x = 42
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '7'.
x = 6
Simplifying
x = 6
Answer:6
Step-by-step explanation:
select the reason why these triangles are similar. if they are not select not similar
Answers
Answer:
B. SAS
Step-by-step explanation:
Ratio of sides equal:
4/2= 6/3So the 2 sides are congruent and also share same angle between.
B. SAS is the similarity reasonAnswer:
B no is correct answer.
12-3*y=0 help and explain plss
Answers
12-3*y = 0
Subtract 12 from both sides:
-3 * y = -12
Divide both sides by -3:
y = 4
Answer:
y=4
Step-by-step explanation:
Standard form:
−3y + 12 = 0
Factorization:
−3(y − 4) = 0
Solutions:
y = 12/3 = 4
Isolate the variable by dividing each side by factors that don't contain the variable:
y=4
4c- 3 = x+15 pls help!!
Answers
Answer:
x = 4c - 18
Step-by-step explanation:
=> 4c-3 = x+ 15
Subtracting 15 to both sides
=> x = 4c-3-15
=> x = 4c - 18
Answer:
x=6
Step-by-step explanation:
4x- 3 = x+15
-1x -1x
3x- 3=15
+3 +3
3x=18
÷3 ÷3
x=6
Hey guys help me find x and measure of angle pleasee
Answers
Answer:
95 degrees
Step-by-step explanation:
Since the sum of the angles in a quadrilateral must add up to 360 degrees:
95+85+Z+85=360
Z+265=360
Z=95 degrees
Hope this helps!
Answer:
Z = 95°
Step-by-step explanation:
if W = Y => X = Z => Z = 95°
In converting 750 ounces to pounds, what unit (omit the number) would you
place in the denominator of your ratio? Use the plural form in your answer.
Remember that there are 16 ounces in 1 pound.
Answers
Answer:
I would use the pounds.
Step-by-step explanation:
The reasoning behind using the pound is, if you are using fractions per say to get a side by side ration when you are doing 16 ounces to 1 pound you would want to have a unit rate.
750 ounces 16 ounces
------------------- -----------------
x pounds 1 pound
Do you see how much easier it is to convert from ounces to pounds when you have a unit rate? Now once you see how many times you had to multiply 16 to get 750 you can easily multiply that number by 1!
What is the result of subtracting the second equation from the first?
-4x - 2y = -2
x - 2y = 9
Answers
Answer:
-5x + 0y = -11
The y terms are eliminated
Step-by-step explanation:
- 4x – 2y = -2
X - 2y = 9
We want to subtract the second equation from the first
Distribute a minus sign to all the terms in the second equation
- 4x – 2y = -2
X - 2y = 9
= (-5x + 0y = -11)
Let PQRS be a square piece of paper. P is folded onto R and then Q is folded onto S. The area of the resulting figure is 9 square inches. Find the perimeter of square PQRS.
Answers
Answer:
24 inches
Step-by-step explanation:
After folding the piece of paper, the result will be 1/4 the size of the original square.
Find the domain for the rational function:
Answers
Answer:
3rd Option
Step-by-step explanation:
Since the denominator cannot equal 0, x ≠ 5. Therefore, our domain stops and starts again at 5. So our answer is 3rd option.