Putting (-1, -11) in given equation, we get :
-11 = a + -b + c ....1)
Similarly putting (1, −5) and (2, −8) we get :
-5 = a + b + c ....2)
-8 = 4a + 2b + c ....3)Adding equation of 1) and 2) we get :
2( a + c ) = -6
a + c = -3
Solving equation 1 , 2 and 3 ,we get :
a = -2 , b = 3 , c = -6
Therefore, equation of parabola is :
y = -2x² + 3x -6
Hence, this is the required solution.
Eddie's recipe for bagels makes 18 bagels per batch. Eddie makes 2/3 batch of bagels. How many bagels does Eddie make
Answer:
He makes 12 bagels
Step-by-step explanation:
12 bagels = 2/3 batch
Makayla plotted two points, (0, 0) and (3, 33), on a coordinate grid. Noah says that she is graphing a proportional relationship. Is Noah correct? Explain.
Answer:
Noah is correct.
Step-by-step explanation:
Noah is correct, a proportional relationship can be formed by observing two conditions:
1) Knowing at least two distinct collinear points on coordinate grid.
2) Ratio between dependent and independent variables must be the same on each point.
3) Relationship must include origin.
Makayla used two points: (0, 0) and (3, 33). Therefore, she observed all conditions described above:
Condition 1: Makayla plotted (0,0) and (3,33). According to Geometry, two distinct point on coordinate grid are always collinear.
Condition 2: The proportionality ratio is:
[tex]k = \frac{33}{3}[/tex]
[tex]k = 11[/tex]
Condition 3: The relationship included origin: (0, 0).
4x+y+6z=7
3x+3y+2z=17
-x-y+z=19
Answer:
the 2nd one
Step-by-step explanation:
What does each space between two numbers represent
Find an nth-degree polynomial function
n= 3;
- 2 and 6 + 2 i are zeros;
f(-1)= 53
Answer:
Find an nth-degree polynomial function.
Step-by-step explanation:
n= 3;
- 2 and 6 + 2 i are zeros;
f(-1)= 53
if a plane travels 1,200 miles in 2 hours how many mph is the plane going
Answer:
600
Step-by-step explanation:
Sense 2 hours has passed you divide the amount of distance the plane has traveled by the amount of time it took. :)
Answer:
600 mph
Step-by-step explanation:
its the speed of the plane
the solution is distance travel which is 1,200 miles divided by the time 2 hours will be equal to 600 miles per hour (mph).
Justin owns a food truck that sells tacos and burritos. He only has enough supplies to make 110 tacos or burritos. He sells each taco for $3.25 and each burrito for $5.75. Justin must sell a minimum of $520 worth of tacos and burritos each day. If 39 tacos were sold, determine the maximum number of burritos that the Justin could sell that would meet the requirements. If there are no possible solutions, submit an empty answer.
Answer:
so looks its an easy one
110 - 39 = 71
71 x 5.75 = 408.25
39 x 3.25 = 126.75
408.25 +126.75 = 535
71 burritos and 39 tacos = 535 dollars
69 burritos
What is mathematical expression?
A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Tacos sold = 39
Burritos sold = x
Let x be the number Burritos sold
each taco sold for $3.25
each burrito sold for $5.75.
Total sell = $520
Now according to the given question,
39*3.25 + x*5.75 = 520
126.75 + 5.75x = 520
5.75x = 393.25
x = 68.39
x ≈ 69
Therefore, Justin has to sell 69 burritos to meet the requirements.
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What are the roots of the quadratic equation x²-81=0
Answer:
What are the roots of the quadratic equation x²-81=0
Answer:
x = ± 9
Step-by-step explanation:
Given
x² - 81 = 0 ( add 81 to both sides )
x² = 81 ( take the square root of both sides )
x = ± [tex]\sqrt{81}[/tex] = ± 9
Thus roots are x = - 9, x = 9
Juan can do 48 jumping jacks in 2 minutes. How many jumping jacks will Juan have completed after 17 minutes?
Answer:
384 and a half.
Step-by-step explanation:
Took me a while, but just add 48 for every 2 minutes.
Solve 6y + 2x = 14 for x.
Answer:
x = 7 - 3y
Step-by-step explanation:
6y + 2x = 14 (divide all by two)
3y + x = 7 (move 3y to the right to isolate x)
x = 7 - 3y
Answer:
7-3y=x
Step-by-step explanation:
6y+2x=14
2x=14-6y >>> isolate x variable
x=7-3y >>> simplify because everything is divisible by 2
which is a linear function
Answer:
B
Step-by-step explanation:
a linear function will always have a constant rate of change.
Multiply (3.2 x 10^8) x (1.3 x 10^9)
Answer:
4.16 × 10 ^17
Step-by-step explanation:
8,943
=
X 1000 +
x 100 +
x 10 +
x 1
x 103 +
x 10? +
x 10 +
II
X 1
Answer:
I think that's wrong
Step-by-step explanation:
1000+1000+1000+1000+1000+1000+1000+1000+1000+ 900+40+3 ?????? not sure but it welcome
What is the mixed number fraction for 4 5/8
Answer:
37/8
Step-by-step explanation:
Answer:
37/8
Step-by-step explanation:
gh
What's the answer please
Answer:
A. (3V/B) = h
Step-by-step explanation:
V = (1/3)Bh
3V = Bh
(3V/B) = h
An eagle is flying around and its velocity vvvv as a function of time tttt is given in the graph below where rightwards is the positive velocity direction.
A set of black coordinate axes are given with the vertical axis labeled "v (m/s)" and the horizontal axes labeled "t (s)". A curve that relates v to t is shown in blue. It begins with a straight line of endpoints (0,-2) and (3,4). This first line is connected to a second line with endpoints (3,4) and (4,4).
A set of black coordinate axes are given with the vertical axis labeled "v (m/s)" and the horizontal axes labeled "t (s)". A curve that relates v to t is shown in blue. It begins with a straight line of endpoints (0,-2) and (3,4). This first line is connected to a second line with endpoints (3,4) and (4,4).
What is the eagle's displacement Δx\Delta xΔxdelta, x from t=1.0 st=1.0\,\text st=1.0st, equals, 1, point, 0, start text, s, end text to 4.0 s4.0\,\text s4.0s4, point, 0, start text, s, end text?
9514 1404 393
Answer:
8 units
Step-by-step explanation:
Displacement is the area under the velocity curve. The area of interest is in the shape of a trapezoid, so we can use the formula ...
A = (1/2)(b1 +b2)h
to find the area.
Here, b1=3, b2=1, h=4, so the area is ...
A = (1/2)(3 +1)(4) = 8
The displacement is 8 units in the time from t=1 to t=4.
A given line has the equation 10x+2y=-2.
What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0,
12)?
VX
O y=-5x+12
O 5x+y=12
O y-12=5(x-0)
O 5x+y=-1
Answer:
Step-by-step explanation:
y=-5x+12
10x+2y=-2
Subtract 10x to the other side of the equation and you will get 2y=-10x-2
Then divide both side by 2 to get y by itself
It will lead you to y=-5x+1
Notice that your point is (0,12) and it says parallel so you will keep your slope but your y-intercept will change
Final answer: y=-5x+12
I believe it's y= -5x+12. I really hope this helps. Happy schooling!!
Will make you brainpower first person who answers correctly in major need of help!
Answer:4 and 35
Step-by-step explanation:
Am from the future
The extremes are 4 and 35.
What is extremes?The extremes are the values of the proportion that are furthest apart when written in ratio form using a colon. For example: In the proportion a : b = c : d, ‘a’ and ‘d’ are the extremes.
In general, four numbers are said to be in proportion, if the ratio of the first two quantities is equal to the ratio of the last two. In general, the symbol for representing a proportion is “: :”
(i) The numbers a, b, c and d are in proportional if the ratio of the first two quantities is equal to the ratio of the last two quantities, i.e., a : b : : c : d and is read as ‘a is to b is as c is to d’. The symbol ‘ : : ‘ stands for ‘is as’.
(ii) Each quantity in a proportion is called its term or its proportional.
(iii) In a proportion; the first and the last terms are called the extremes; whereas the second and the third terms are called the means.
If four numbers a, b, c and d are in proportional (i.e., a : b : : c : d), then a and d are known as extreme terms and b and c are called middle terms.
(v) The fourth term of a proportion is called fourth proportional.
Given:
4/7 = 20/35
Now, by the definition of extremes
the first and the last term is extremes
So, 4 and 35 are the extremes.
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NEED HELP FAST I WILL MARK BRAINLYEST
Answer:
13/48
Step-by-step explanation:
13/6 / 8 = 13/6 x 1/8
13 x 1 = 13
6 x 8 = 48
13/48
Answer:
13/48
Step-by-step explanation
Perform the following Operations on fraction 1/5÷4/5=?
Answer: 1/ 4
Step-by-step explanation:
1/5 x 5/ 4 reduce the numbers with the greatest common factor 5
1/4
1 is ontop 4 is in the bottom 1/4
Round 125000 to 3 decimals!
Answer:
1.25 is your answer, Since the zeros are just place holders
Step-by-step explanation:
hope this helps!
Have a good day.
Independent and Dependent Samples Which of the following involve independent samples?
A) Data Set 14 "Oscar Winner Age" in Appendix B includes pairs of ages of actresses and actors at the times that they won Oscars for Best Actress and Best Actor categories. The pair of ages of the winners is listed for each year, and each pair consists of ages matched according to the year that the Oscars were won.
B) Data Set 15 "Presidents" in Appendix B includes heights of elected presidents along with the heights of their main opponents. The pair of heights is listed for each election.
C) Data Set 26 "Cola Weights and Volumes" in Appendix B includes the volumes of the contents in 36 cans of regular Coke and the volumes of the contents in 36 cans of regular Pepsi.
Answer:
(A) Independent
(B) Independent
(C) Independent
Step-by-step explanation:
Independent samples are those samples are drawn from two different population.
Dependent samples are sample collected from the same population but at different times. They are also known as matched pair samples.
(A)
The data collected is for the pair of ages of actresses and actors at the times that they won Oscars for Best Actress and Best Actor categories.
That is the data is in the form (x, y). Here x represents the age of actresses and y represents the age of actors.
Since the data is collected from two different population of male and female, the sample are independent.
(B)
The data collected is for the heights of elected presidents along with the heights of their main opponents.
Again the data is in the form (x, y). Here x represents the heights of elected presidents and y represents the heights of the main opponents.
The samples collected is independent.
(C)
The data collected is for the volumes of the contents in 36 cans of regular Coke and the volumes of the contents in 36 cans of regular Pepsi.
Again the data is in the form (x, y). Here x represents the volumes in the regular Coke cans and y represents the volumes in the regular Pepsi cans.
The samples collected is independent.
Find the perimeter of the rectangle.
5 in.
9 in.
Answer:
28 inches
Step-by-step explanation:
(SAT Prep) Rays
OM
,
ON
, and
OP
coincide at time t=0. At the same instant in time,
OM
and
OP
begin to rotate in the plane about point O, but in opposite directions. Ray
ON
remains fixed. Ray
OM
rotates at a constant rate of 3° per second with respect to
ON
, while
OP
rotates at a constant rate of 6° per second. What is the smallest positive value of t, in seconds, in which rays
OM
and
OP
will coincide again? When t=30 min, how many more revolutions has ray
OP
completed than ray
OM
?
Answer:
T=40 sec. OP does 15 revolutions more than OM.
Step-by-step explanation:
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know the answer! This is my first answer!!! I hope its correct, i trple checked it! :)
HOPE YOU ENJOYYYYYY!!
Hope is n years old. Interpret the following expression if the expression represents Hunter's age.
3n -8
A.
Hunter is 8 years younger than Hope's age.
B.
Hunter is 8 years older than 3 more than Hope's age.
C.
Hunter is 8 years younger than 3 times Hope's age.
D.
Hunter is 8 years older than 3 times Hope's age.
Answer:
its A and B
Step-by-step explanation:
Because if you do the opposite of subtracting is adding so that means you add 8 to 3 which equals to 11 years old.
so that means Hope is 11 years old
- What is the area of the square?
(A) 16
(B) 25
(C) 32
(D) 36
(E) 41
Answer:
I counted 32 squares in and out
Answer:
A=a^2, so A=4^2=16 , or 4*4=16
Step-by-step explanation:
All sides of a square are equal, so the length of the sides are all 4. Put 4 in for a in the formula A=a^2 or Area = side length squared.
A = 4^2
A = 4 * 4
A = 16
PLEASEEE HELP FAST! One solution each is given on four quadratic equations. Assuming that each quadratic equation has two solutions, what is the second solution for each equation?
Answer:
Step-by-step explanation:
If one solution of a quadratic equation is a complex number (a + bi),
Other solution of the equation will be the conjugate of the first solution.
So the other solution will be in the form of (a - bi)
If one solution is, x = -4 - 5i
Other solution will be, x = -4 + 5i
If one solution is, x = 4 + 5i
Other solution will be, x = 4 - 5i
If one solution is, x = 5 - 4i
Other solution will be, x = 5 - 4i
What is the equation of the following line written in general form? (The y-intercept is -1.)
A 2x + y - 1 = 0
B -2x - y - 1 = 0
C 2x - y - 1 = 0
Answer:
C
Step-by-step explanation:
the y-intercept is -1
the slope is 2/1
y=2x+-1
2x-y-1=0
-y=-2x+1
divide everything by -1
y=2x+-1
2
Name the intersection of plane P and plane ABD.
C
P
B.
.
D
E
BD
Point D
AD
Point B and Point D
Answer:
D
Step-by-step explanation:
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┈┈┈╱╲┈┈▏▕╱╲┈┈┈
┈┈┈▏▕╱╲▏▎▏▕╱╲┈▃
┈╱╲▏▎▅▂▅▂▏▎▏▎▏▏
▂▏▎▏▕╭┳┳╮▏┊▏▕╱╲
▏▏┊▏▎┃┊┊┃▏▎▏▎▏▕
▇▆▅▃▂┻┻┻┻▂▃▅▆▇▉.
Solve the equation: |2x + 5| = 11.
Answer:
x = -8 and x = 3
Step-by-step explanation:
Split the equation into 2 possible cases:
2x + 5 = 11
2x + 5 = -11
Then, solve these 2 equations.
2x + 5 = 11
2x = 6
x = 3
2x + 5 = -11
2x = -16
x = -8
So, the 2 solutions are x = -8 and x = 3