79+(-42/6)-(-24)
first use -42 divide by 6
79 + (-7) - (-24)
then open all the parentheses
79 - 7 + 24
and use 79 minus 7
72 +24
add them together
96
That's how to get it.
Answer:
Step-by-step explanation:
79+(-42 divide 6)- -24
The first step is division
79+(-7)- -24
Then we add and subtract from left to right
72 --24
72+24
96
Celia simplified the expression - 4x{1-3)-(2x+2). She checked her work by letting X-5 in both expressions. Her work for the
original expression is shown below.
Answer: I think it is the last one
Step-by-step explanation: if you work it out, it equally 6x-2
Answer:
6x-2
Step-by-step explanation:
[tex]- 4x(1-3)-(2x+2)[/tex]
When x=5 the value of the expression is 28
Now we check with each expression given in the options
Plug in 5 for x in each option
[tex]-6x-1=-6(5)-1=-30-1= -31[/tex]
[tex]-6x+2=-6(5)+2=-30+2= -28[/tex]
[tex]6x+1=6(5)+1=30+1= 31[/tex]
[tex]6x-2=6(5)-2=30-2=28[/tex]
So 6x-2 gives us 28 when x=5
A window is in the shape of a kite. Caleb wants to apply a layer of plastic film on the top half of the window so that the glass appears crackled. What are the dimensions of the layer of film he will apply?
9 inches in width and 7 inches in height
9 inches in width and 14 inches in height
18 inches in width and 7 inches in height
18 inches in width and 14 inches in height
Answer:
18 inches in width and 7 inches in height
Using kite, the dimensions of the layer of film the Caleb will apply is 18 inches in width and and 7 inches in height.
What is Kite?
A Kite is "quadrilateral with two distinct pairs of congruent consecutive sides".
What is relationship between kite and quadrilateral?If a kite is quadrilateral, then "its diagonal are perpendicular and exactly one diagonal each other".
According to the question,
A window is in the shape kite has an height of 14 inches and a width of 18 inches. Caleb wants to apply a layer of plastic film on the top half of the kite shape window. The window has dimensions of width 18 inches and 14 inches of height.
In order to the find new dimensions to apply a layer of plastic film on the top half of the kite shape window only if we divide the height by two then we get new dimensions on the top half of the kite shape window.
= [tex]\frac{14}{2}[/tex]
=7 inches
Hence, new dimensions to apply a layer of plastic film on the top half of the kite shape window is 18 inches in width and and 7 inches in height.
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Kathy runs 16 miles a week. If she continues to run at this rate how many miles will she run a year
Answer:
Remember, 1 is the multiplicative identity. That means that we can multiply a value by 1 and not change the value, only change the units.
For example: If we have 3 dozen eggs, how many eggs do we have?
3 dozen
(3 dozen)*(12 eggs / 1 dozen) = 36 eggs (dozen cancels out, leaving only eggs)
In this problem:
(16 miles / 1 week)
(16 miles / 1 week)*(52 weeks / 1 year) (weeks cancel out, leaving miles/year)
832 miles/year
Note: with either 365 (or 366) days in a year, there are 365/7 = 52.14 weeks in a year, but we'll use 52 because the problem gave miles/week.
Step-by-step explanation:
quadratic function (f)x=2x^2+8x-7
Answer:
See attached images
Step-by-step explanation:
The expression of your question is
f(x) = 2x^2+8x-7
A full analysis of the function is shown in the images below
Which of the following must be true for an expression to be a difference of
two squares?
(((a. all variables are raised to an even power
b. there are only two terms
c. both terms have negative coefficients)))
Answers:
O A. a and
O B. a, b, and c
OC. b and
O D. a and b
Answer:
D
Step-by-step explanation:
A difference of squares is represented in general as
a² - b²
Both variables have an even power (2) → a
There are only two terms → b
(a) Find an angle between 0° and 360° that is coterminal with – 120°.
(b) Find an angle between 0 and 2π that is coterminal with 15π/4
Give exact values for your answers.
Answer:
a) [tex]240\degree[/tex]
b) [tex]\frac{15\pi}{4}[/tex]
Step-by-step explanation:
Coterminal angles have the same terminal sides in standard position.
a) To find an angle between [tex]0\degree[/tex] and [tex]360\degree[/tex], that is coterminal with [tex]-120\degree[/tex], we keep adding multiples of [tex]360\degree[/tex] until we get an angle within the specified range.
[tex]-120\degree \implies -120\degree +360\degree=240\degree[/tex].
In some cases you would have to subtract in order to get the specified angle. That is when the angle given is positive.
b) This time we want to find an that coterminal with [tex]\frac{15\pi}{4}[/tex] radians.
We keep subtracting multiples of [tex]2\pi[/tex] until we get an angle measure within the specified range.
[tex]\frac{15\pi}{4}=\frac{15\pi}{4}-2\pi=\frac{7\pi}{4}[/tex]
Lin took 75 boxes of carrots and 80 boxes of potatoes to the market. She sold 68 boxes of carrots and 71 boxes of potatoes. How many boxes of vegetable did she take home?
5. Write and solve the arithmetic problem for each step.
?
Answer the question below. Type your response in the space provided.
How many boxes of carrots are left?
How many boxes of Potatoes are left?
How many boxes altogehter are left?
Answer: 7 boxes of carrots, 9 boxes of potatoes, 18 boxes total
Step-by-step explanation:
75 -68=7 boxes of carrots
80-71=9 boxes of potatoes
For this case we have:
x: Represents the number of carrot boxes
y: Represents the number of boxes of potatoes
Initially we have:
[tex]x = 75\\y = 80[/tex]
If you sold 68 boxes of carrot we have:
[tex]x = 75-68 = 7[/tex]
If you sold 71 boxes of potatoes, we have:
[tex]y = 80-71 = 9[/tex]
The number of boxes I take home is given by:[tex]x + y = 7 + 9 = 16[/tex]
ANswer:
7 boxes of carrots left
There are 9 boxes of potatoes left
A total of 16 boxes remain
The surface temperature averages at 15 degrees Celsius and increases 25 degrees Celsius with each kilometer of depth. Let one variable be the distance away from the surface and the other variable be the temperature. Now write an equation that models the relationship between the variables. I choose the variable, d for distance and t for temperature.
Answer:
15+25d=t
Step-by-step explanation:
the initial value is 15 it increases(+) by 25 to each kilometer(distance=d) of depth.
The equation that models the relationship between distance d in kilometers and temperature t in degrees Celsius is t = 25d + 15. This means that for each kilometer increase in depth, the temperature increases by 25 degrees Celsius in addition to the initial 15 degrees Celsius surface temperature.
Explanation:
The relationship between the variables, distance (d) and temperature (t), is described as a linear function. Given that the surface temperature is 15 degrees Celsius and it increases by 25 degrees Celsius with every kilometer, the mathematical model is expressed as:
t = 25d + 15
In this equation, t represents the temperature and d is the distance from the surface in kilometers. This implies that for every kilometer increase in depth, the temperature increases by 25 degrees Celsius on top of the initial 15 degrees Celsius surface temperature.
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what is measure of cgf?
Answer:
[tex]<CGF = 130[/tex]
Step-by-step explanation:
A triangle adds up to 180.
180 - 50 = 130
Since both of the missing angles are congruent each of the missing angles is 65 degrees.
130/2 = 65
As per the exterior angle theorem, the measure of the exterior angle is determined by the sum of the opposite interior angles.
65 + 65 = 130
So, the measure of [tex]<CGF = 130[/tex]
Find the greatest common factor: 24y8 + 6y6
For this case we must find the GCF of the following expression:
[tex]24y ^ 8 + 6y ^ 6[/tex]
By definition, the largest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. We find the factors of each number:
24: 1,2,3,4,6,8,12,24
6: 1,2,3,6
Thus, the GCF of both numbers is 6
The GCF of the expression is: [tex]6y ^ 6[/tex]
Answer:
[tex]6y ^ 6[/tex]
What is the value of f(4)in the function below? F(x)=1/4•2^x
Answer:
f(4) = 4
Step-by-step explanation:
F(x)=1/4•2^x
Let x = 4
F(4)=1/4•2^4
= 1/4 * 2^4
= 1/4 *16
= 4
Answer: f(4) = 4
Step-by-step explanation:
f(x) = 1/4 . 2^x
To find f(4) we simply replace x by 4 in the above equation;
f(4) =1/4 . 2^4
f(4) = 1/4 . 16
f(4) = 16/4
f(4) = 4
Therefore f(4) is equal to 4
Helppppp me immmm stuckkkkk
Answer:D
Step-by-step explanation: 4y-3x=4 -2x-8y=8
4(-.5)-3(-2)=4 -2(-2)-8(-.5)=8
Work this problem from here
4*-.5= -2
-3*-2=6
6+-2=4
so this is a true statement
-2*-2=4
-8*-.5=4
4+4= 8
so this statement is also true
Find the coordinates of the focus and equation of the directrix for the parabola given by
y2 = −4x.
The general formula for this parabola is y2 = 4px.
Therefore, the value of p is _____
The coordinates of the focus are ______
The equation of the directrix is ______
Answer:
The answers to your three problem question are shown
1) the value of p is
p = -1
2) The coordinates of the focus are
Focus = (-1,0)
3) The equation of the directrix is
Directrix
x = 1
Step-by-step explanation:
The general equation for this parabola is
y^2 = 4px
Problem 1
Find the value of p.
We are told that the equation of the problem is
y^2 = -4x
And the general formula is
y^2 = 4px
From there, we can deduce that
p = -1, because
y^2 = 4(-1)x = -4x
This means that p = -1
Problem 2
Find the focus
To find the focus we can see the equations attached below for the focus, vertex and directrix.
In these case, the equations still apply, even though the variable is inverted, we just need to adjust it
y^2 = -4x =>
x = (-1/4)*y^2
x = a*y^2 + b*y +c
Focus
((4ac -b^2 + 1)/4a, -b/2a)
But, b = 0 and c = 0
=>
(1/4a,0) = (1/4(-1/4),0) = (-1,0)
Focus = (-1,0)
Problem 3
Find the directrix
The equation is
x = c - (b^2 + 1).4a
But, b = 0 and c = 0
x = -4*a
x = -4* (-1/4) = 1
x = 1
Directrix
x = 1
Answer: P is -1
Focus is (-1,0)
Directrix is X= 1
there are only blue cubes, yellow cubes and green cubes in a bag there are
three times as many blue cubes as yellow cubes
and five times as many green cubes as blue cubes
sarah takes a random cube from the bag
what is the probability sarah takes out a yellow cube?
give your answer in its simplest form
Answer: [tex]\bold{\dfrac{1}{19}}[/tex]
Step-by-step explanation:
Let x represent the quantity of yellow cubes
Yellow: x
Blue: three times yellow --> 3x
Green: five times blue --> 5(3x) = 15x
Yellow + Blue + Green = Total cubes
x + 3x + 15x = 19x
[tex]Probability=\dfrac{yellow}{total}=\dfrac{x}{19x}=\large\boxed{\dfrac{1}{19}}[/tex]
The probability of Sarah taking out a yellow cube from the bag is 0.7 or 5/7.
What is probability?The fraction of favorable outcomes of an event to the total number of outcomes of the event is said to be the probability. The fraction can also be written in the simplest form.
P(E)= n(E)/n(S) where E -event, n(E) - favorable outcomes and n(S) is the total outcomes.
Calculation:It is given that a bag contains blue cubes, yellow cubes, and green cubes.
Consider the number of blue cubes = n
So, the number of yellow cubes = 3 times as many as blue cubes
= 3n
Then, 5 times as many as green cubes = blue cubes
⇒ number of green cubes = n/5
Then the total number of cubes in the bag
= n + 3n + n/5
⇒ [5n + 15n + n]/5
⇒ 21n/5
Then the probability of taking out a yellow cube = (possible outcomes of a yellow cube)/(total number of cubes)
⇒ [tex]\frac{(3n)}{(21n/5)}[/tex]
⇒ 15n/21n
⇒ 5/7
∴ The probability of taking out a yellow cube = 5/7 = 0.7.
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If
[tex]f(x) = \frac{(3 + x)}{x - 3} [/tex]
what is
[tex]f(a + 2)[/tex]
?
a)
[tex] \frac{3 + f(a + 2)}{f(a) - 1} [/tex]
b)
[tex] \frac{(5 + a)}{(a - 1)} [/tex]
c)
[tex] \frac{(3 + a)}{(a - 3)} + 2[/tex]
Answer:
Option B: [tex]\frac{5+a}{a-1}[/tex]
Step-by-step explanation:
Given function is:
[tex]f(x) = \frac{3+x}{x-3}[/tex]
In order to find f(a+2), we have to put a=2 in place of x in the function
So,
[tex]f(a+2) = \frac{3 + (a+2)}{(a+2)-3}\\ =\frac{3+a+2}{a+2-3}\\ = \frac{5+a}{a-1}[/tex]
Hence, we can see that option b is correct ..
9(x-2) + 3(5-2x) = 2
First you must distribute the numbers outside the parentheses to the numbers inside the parentheses
Let's start with the first one:
9(x-2) + 3(5-2x) = 2
9(x - 2)
9*x + 9*-2
9x + (-18)
9x - 18
so...
9x - 18 + 3(5-2x) = 2
Now on to the second set of parentheses:
9x - 18 + 3(5-2x) = 2
3(5 - 2x)
3*5 + 3*-2x
15 + (-6x)
15 - 6x
so...
9x - 18 + 15 - 6x = 2
Now you must combine like terms. This means the numbers with the same variables must be combined...
First set of like terms:
9x - 18 + 15 - 6x = 2
9x + (-6x)
3x
so...
3x - 18 + 15 = 2
Second set of like terms:
3x - 18 + 15 = 2
-18 + 15
-3
so...
3x - 3 = 2
Now bring -3 to the right side by adding 3 to both sides (what you do on one side you must do to the other). Since -3 is being negative on the left side, addition (the opposite of negative/subtraction) will cancel it out (make it zero) from the left side and bring it over to the right side.
3x + (- 3 + 3) = 2 + 3
3x + 0 =5
3x = 5
Next divide 3 to both sides to finish isolating x. Since 3 is being multiplied by x, division (the opposite of multiplication) will cancel 3 out (in this case it will make 3 one) from the left side and bring it over to the right side.
3x/3 = 5/3
x = [tex]\frac{5}{3}[/tex]
Hope this helped!
~Just a girl in love with Shawn Mendes
Find the distance between the given points.
R(0, 0) and S(6, 8)
Distance =
2√7
√(22)
10
Answer:
The correct answer is last option
10
Step-by-step explanation:
Points to remember
Distance formula
Length of a line segment with end points (x1, y1) and (x2, y2) is given by,
Distance = √[(x2 - x1)² + (y2 - y1)²]
To find the distance between given points
Here (x1, y1) = R(0, 0) and (x2, y2) = S(6, 8)
Distance, RS = √[(x2 - x1)² + (y2 - y1)²]
= √[(6 - 0)² + (8 - 0)²]
= √[6² + 8²]
= √[36 + 64]
= √100
= 10
Therefore the correct answer is last option 10
A comedian knows eleven jokes. One joke is old, one joke is new, and the other jokes are somewhere between. If the order in which these jokes are told makes a difference in terms of how they are received, how many ways can they be delivered if the old joke is told first and the new joke is told last?
Answer: I believe nine
Step-by-step explanation: If one and 11 stay in the same place then it would start as 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11. then it would be 1, 10, 2, 3, 4, 5, 6, 7, 8, 9, 11. then 1, 9, 10, 2, 3, 4, 5, 6, 7, 8,11 and so one.
Why is causation so much more difficult to prove than correlation?
Convert the mixed numbers into improper fractions. Convert the improper fraction to mixed Numbers.
Answer:
13. 23/4
14. 13/2
15. 6 and 1/2
16. 2 and 7/12
Answer:
13. 23/4
14. 13/2
15. [tex]6\frac{1}{2}[/tex]
16. [tex]2 \frac{7}{12}[/tex]
Step-by-step explanation:
13) 5×4=20
20+3=23
[tex]\frac{23}{4}[/tex]
14) 2×6=12
12+1=13
[tex]\frac{13}{2}[/tex]
15 an 16 divide
the graph represents f(x)=[x]+3. what is f(-2.2)?
Answer:
f(-2.2) = 1
Step-by-step explanation:
There is a horizontal blue line with equation y = 1 between x = -3 and x = -2. Thus, f(-2.2) = 1.
Answer:
f(-2.2) = 1
Step-by-step explanation:
There is a horizontal blue line with equation y = 1 between x = -3 and x = -2. Thus, f(-2.2) = 1.
I need to know this answer please!
Answer:
3*5=15
15 is your answer
ANSWER
15 square units.
EXPLANATION
Each box is 1 square units.
When we count the number of boxes we obtain 15 boxes.
This implies that the area of the rectangle is 15 square units.
Alternatively, we can observe that:
The rectangle is a 3 by 5 rectangle.
So the area is
[tex]3 \times 5 = 15 \: units \: square[/tex]
The rectangle is 15 units square.
What is the value of a in the equation a = 2 + 3a + 10?
Answer:
a= -6
Step-by-step explanation:
Given
a=2+3a+10
In order to find the value of a, we have to isolate a on a single side of the equation
So,
subtracting 3a from both sides
a-3a = 2+10+3a-3a
=>a-3a=12
=> -2a = 12
Dividing both sides by -2
=> -2a/-2 = 12/-2
=> a = -6
The value of a in the given equation is -6 ..
Evaluate sin(arccos(-4/
[tex]evaluate \: sin(arccos( - \frac{4}{ \sqrt{25))[/tex]
Answer:
sin(arccos(-4/√25)) = 0.6
Step-by-step explanation:
The expression you want to evaluate is
sin(arccos(-4/√25))
= sin(arccos(-4/5))
We place this expression into a calculator and get the result
arccos(-4/5) = 2.498 rads = 143.1°
then
sin(143.1°) = 3/5
sin(143.1°) = 0.6
sin(arccos(-4/√25)) = 0.6
Write the following phrase as an expression.
half of n
Translating the half to symbols would be 1/2. Therefore, your answer is 1/2(n)
Hope this helps!
Answer:
1/2n
Step-by-step explanation:
half of n
of means multiply
1/2 * n
n/2
Plzzz HELP (3 QUESTIONS!!)
6) Which of the following numbers is written in standard notation for 1.31x10^-5?
a) 11,310
b) -11,310
c) .01131
d) .00001131
7) Select the expression written in scientific notation that is equivalent to 4.8 x 10^5-9.7 x 10^4.
a) -4.83x10^9
b) 480,000-97,000
c) 3.83x10^5
d) 0.000048 – 0.00097
8) Select the expression that is equivalent to (4 x 10^3)(5x10^7).
a) 4.5 x 10^3+7
b) (4+5) (10^3+10^7)
c) 4.5 x 10^3x7
d) ( 4 x 5) (10^3+10^7)
Answer:
6: d, 7: b and c, 8: a
Step-by-step explanation:
6) The answer is (d).
We have,
0.00001131 =1.131×0.00001
= 1.131/100000
= 1.131×10^-5.
So, this is correct answer.
7) This question have two answers (b) and (c), both are correct.
(b) 480000-97000
= 4.8x100000-9.7x10000
=4.8x10^5-9.7x10^4
(c) 4.8x10^5-9.7x10^4
= 4.8x10^5-0.97x10^5
= (4.8-0.97) x10^5
=3.83x10^5
8)(a)
(4 x 10^3)(5x10^7).
= 4x5x10³x10^7
= 4x5x10^(3+7).
e shown below.
(93)10 - 930
Answer:
0
Step-by-step explanation:
(93)10 - 930=
930 - 930=
0
The passing yards for the top 5 quarterbacks in the country are 3,832, 3,779, 3,655, 3,642, and 3,579. Find the variance and standard deviation. Round to the nearest hundredth.
(EXPLAIN WORK)
Answer:
variance = 8,732.24standar deviation = 93.45Explanation:
In order to calculate the variance and standard deviation of a set of data, you first must calculate the mean.
Mean = average = μ = ∑ values / (number of data)
Hence, the mean of our data set is:
mean = μ = [ 3,832 + 3,779 + 3,655 + 3,642 + 3,579] / 5 = 18,487 / 5 = 3,697.4Now you can calcuate the variance using the formula.
For a data set (which is all your population and not a sample) the formula is:
Variance = ∑ (value - μ)² / (number of data)That is:
Variance = [ (3,832 - 3,697.4)² + (3,779 - 3,697.4)² + (3,655 - 3,697.4)² + (3,642 - 3,697.4)² + (3,579 - 3,697.4)² ] / 5 Variance = 8,732.24 (rounded to the nearest hundreth)The standard deviation, S.D., is the square root of the variance:
[tex]S.D.=\sqrt{8,732.24}=93.45[/tex] (rounded to the nearest hundresth)Answer:
Variance = 8732.24 and standard deviation = 93.45
Step-by-step explanation:
We have to calculate the variance and standard deviation of the data set
3,832, 3,779, 3,655, 3,642, 3,579
First we calculate the mean of the data
Mean = [tex]\frac{(3,832+3,779+3,655+3,642+3,579)}{5}[/tex]
= [tex]\frac{18487}{5}[/tex]
= 3697.4
Now we calculate the variance by subtracting the mean from value of data set and square it.
3832 - 3697.4 = 134.6² = 18,117.16
3779 - 3697.4 = 81.6² = 6,658.56
3655 - 3697.4 = -42.4² = 1,797.76
3642 - 3697.4 = -55.4 = 3069.16
3579 - 3697.4 = -118.4 = 14,018.56
Add up the squared result and take the mean
= [tex]\frac{(18117.16+6658.56+1797.76+3069.16+14018.56)}{5}[/tex]
= [tex]\frac{43661.2}{5}[/tex]
Variance = 8732.24
To calculate standard deviation, we take the square root of the variance = [tex]\sqrt{8732.24}[/tex]
Standard deviation = 93.44645526 ≈ 93.45
Variance = 8732.24 and standard deviation = 93.45
Which of the following vectors are orthogonal to (2,1)? Check all that apply.
A. (1,-2)
B. (-3,6)
C. (1,2)
D. (-2,-3)
Answer:
A. (1,-2)
B. (-3,6)
Step-by-step explanation:
we know that
If two vectors are orthogonal, then the dot product ( or scalar product) of the vectors is equal to zero
so
Let
a (x1,y1) and b(x2,y2)
The dot product is equal to
a.b=(x1*x2+y1*y2)
Verify each case
case A) (2,1) with (1,-2)
(2,1).(1,-2)=(2)*(1)+(1)(-2)=2-2=0
therefore
(1,-2) is orthogonal to the given vector
case B) (2,1) with (-3,6)
(2,1).(-3,6)=(2)*(-3)+(1)(6)=-6+6=0
therefore
(-3,6) is orthogonal to the given vector
case C) (2,1) with (1,2)
(2,1).(1,2)=(2)*(1)+(1)(2)=2+2=4
therefore
(1,2) is not orthogonal to the given vector
case D) (2,1) with (-2,3)
(2,1).(-2,3)=(2)*(-2)+(1)(3)=-4+3=-1
therefore
(-2,3) is not orthogonal to the given vector
Answer: B, D, E
On EDGE
Step-by-step explanation:
Dana kicks a soccer ball. The table shows the height of the soccer ball with respect to the time, in seconds, after the ball was kicked.
Time | Height
(Seconds) | (Feet)
~~~~~~~~~~~~~~~
0.5 21
1 34
1.5 39
2 36
2.5 25
3 6
Which Graph best displays the relationship shown in the table?
(i just need confirmation that its C)
Answer: It is!!!!!!!!
Answer:
The correct option is C.
Step-by-step explanation:
The standard form of a parabola is
[tex]y=ax^2+bx+c[/tex]
The table of values represents the coordinate pairs of the parabola. It means the graph of the parabola must be passes through these coordinate pairs.
From the given table it is clear that the parabola passes through the points (0.5,21), (1,34) and (1.5,39).
[tex]21=a(0.5)^2+b(0.5)+c[/tex]
[tex]21=0.25a+0.5b+c[/tex] .... (1)
[tex]34=a(1)^2+b(1)+c[/tex]
[tex]34=a+b+c[/tex] .... (2)
[tex]39=x(1.5)^2+y(1.5)+z[/tex]
[tex]39=2.15a+1.5b+c[/tex] .... (3)
On solving (1), (2) and (3), we get
[tex]a=-16, b=50,c=0[/tex]
The equation of parabola is
[tex]y=-16x^2+50x+0[/tex]
[tex]y=-16x^2+50x[/tex]
The graph of parabola is shown below. It is same as graph in option C.
Therefore the correct option is C.