Answer:
a=25 b=100 c=17 d=68
Step-by-step explanation:
the test said so
Deon throws a ball into the air. The height h of the ball, in meters, at time t seconds is modeled by the function h(t)=-5t^2+2t+39
Will the ball reach height of 41 meters. What is the discriminate?
Please help me, please
Answer:
The ball will not reach a height of 41 meters.
The discriminate is 784
Step-by-step explanation:
You know that the height h of the ball, in meters, at time t seconds is modeled by the function h(t) = - 5*t² + 2*t + 39
To find out if the ball will reach a height of 41 meters, you must calculate the maximum of the function, that is, the highest or highest point on the graph. That is, the maximum in a function f is the largest value that the function takes.
The vertex is a point that is part of the parabola, which has as its ordinate the maximum value (as in this case) or minimum value of the function. That is, the vertex is the maximum of the function (as in this case) or minimum.
In this case, the maximum of t is obtained by:
[tex]t=\frac{-b}{2*a}[/tex]
Being a=-5 and b=2 (comparing with a quadratic function of the form: f(x)=a*x² + b*x +c)
[tex]t=\frac{-2}{2*(-5)}[/tex]
t= 0.2
The maximum height value must be obtained by substituting the previously calculated value of t in the function:
h(0.2) = - 5*0.2² + 2*0.2 + 39
h(0.2)=39.2
So the maximum height the ball will reach is 39.2 meters. The ball will not reach a height of 41 meters.
The discriminate of a quadratic function is:
Δ=b²-4*a*c
In this case, being a=-5, b=2 and c=39, the discriminate is:
Δ=2²-4*(-5)*39
Δ= 4+780
Δ= 784
The discriminate is 784
The first derivative test is the process of analyzing functions using their first derivatives in order to find their extreme point.
No, ball can not reach at height of 41 meters.
Since, The height h of the ball, in meters, at time t seconds is modeled by the function [tex]h(t)=-5t^2+2t+39[/tex]
To find maximum height where can ball reach. We use first and second derivative test.
[tex]h(t)=-5t^2+2t+39\\\\\frac{dh}{dt}=-10t+2[/tex]
Now, equate above derivative to zero.
[tex]-10t+2=0\\\\t=1/5[/tex]
Now, find second derivative
[tex]\frac{d^{2}h }{dt^{2} } =-10[/tex] , Which is less than zero.
Therefore, at t= 1/5 second , will give maximum height that can ball reach.
So, h(1/5) = 39.2 meters.
That is, ball can reach at 39.2 meters.
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Can someone please help me on this I’m not sure if what I is the correct answer someone help
Answer: you got it right, it is the one that is blue highlighted.
La siguiente tabla representa la velocidad de un coche en función del tiempo:
Tiempo
(segundos)
x
Velocidad
(m/s)
f (x)
15
45
22
66
29
87
36
108
La tasa media de cambio de la función entre x a 15 a x x 29 es __________m/s2 y representa la aceleración del coche.
Fnfjfjf
Step-by-step explanation:
. What value/s of x make x2 + x - 12 = 0 true?
a. 1 and -2 b. 3 and -4
c. 5 and -6
B. 3 and -4 is the answer.
How many apples are the
Justin made peanut butter and Almond butter. He made enough peanut butter to fill 3/5 of a jar. If he made 4 1/5 times as much almond butter as peanut butter, how many jars will the almond butter fill?
Answer:6
Step-by-step expla
Is 21, 28,35 the sides of a right triangle?
Answer:
yes
Step-by-step explanation:
divide each by 7 =
21/7 = 3
28/7 =4
35/7 = 5
3,4,5 are always a perfect triple, and multiples of 345 are perfect triples as well. Therefore, they are sides of a right triangle.
10.(02.06 LC)
The number line below represents which combined inequality? (5 points)
Buddie is filing his federal income tax return with the 1040EZ form using the Single filing status, and nobody can claim him as a dependent. If he had wages, salaries, and tips of $53,100, taxable interest of $230, and no unemployment compensation, what should he enter on line 6 of the Income section below?
A.
$0
B.
$43,980
C.
$34,630
D.
$53,330
Answer: $43,980
Step-by-step explanation:
APEX
Answer: B) $43,980
Step-by-step explanation:
Demon Slayer
When Brandon went bowling, it cost $4.95 per game, plus a one time fee to rent the shoes. Brandon played 5 games and paid $32. Write and solve a linear equation to find the cost to rent the shoes. (Hint Think about if you want to know the cost of the shoes, what does this mean for numbers of games?)
Answer:
(4.95x5)+X=32 x=7.25(one time fee)
Step-by-step explanation:
You have to find out what is already known.
Which of the following pairs of angles are corresponding angles?
1. <1 and <7
2. <4 and <6
3. <1 and <3
4. <3 and <7
Answer:
4. <3 and <7
Step-by-step explanation:
Corresponding angles are any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal, and angles 3 and 7 were the only angles that matched this criteria.
Hope this helps :)
Help please! I forgot to study..
Answer:
9 x (4+9)
9(4) + 9(9)
36 + 81 = 117
Distribute (multiply) your first value to the values
good luck
Answer:
117
Step-by-step explanation:
9 × 4 = 369 × 9 = 81Re-write the expression: 36 + 8136 + 81 = 117I hope this helps!
Select all the values that make the inequality true n<-15
A. -25
B. -1
C. -30
D. -19
-
A store has their shirts 1/4 off the original price and pants are 1/5 off the
original price, and shoes are 1/2 off the original price. If a pair of shoes cost
$60, what is the sales price?*
Your answer
Answer:
30$
Step-by-step explanation:
1/2 is 60$ is 30$, ........
inverse of a*b=ab/2
ab/2=a*b
i think if not please let me know
3. The math department needs to buy new textbooks and laptops for their
classrooms. The textbooks cost $116.00 each and the laptops cost
$439.00 each. If they need to purchase 30 textbooks and have $6500
to spend, what is the greatest number of laptops they can buy?
Write an inequality and solve.
Let they be x.
Cost of textbooks + laptops cant greater than total amount.
(cost of 1 textbooks * number of textbooks) + (cost of 1 laptop * number of laptops ≤ 6500
(30*116) + (x*439) ≤ 6500
3480 + 439x ≤ 6500
439x ≤ 3020
x ≤ 6.8(approx)
Last natural number is 6, says, they can buy 6 laptops at max.
Given A(-3, 8), find the coordinates of the point B such that C(5, -8) is the midpoint of segment AB.
Answer:
13, -16
Step-by-step explanation:
35 POINTS WILL MARK BRAINLIEST!!!
Please solve it from the picture below!!
Which table represents a linear function? DIFFERENT THAN OTHER QUESTION
Answer:
the first table
Step-by-step explanation:
because there's one output for every input
all the numbers under y are imcresing by the samw number(3)
Find x if f(x) = 2x + 7 and f(x) = -1.
A.5
B.-4
C.-4
Answer:
x = - 4
Step-by-step explanation:
Hi there !
if f(x) = 2x + 7 and f(x) = -1 =>
2x + 7 = - 1
2x = - 1 - 7
2x = - 8
x = - 8 ÷ 2
x = - 4
Good luck !
What is the sum?
5 +3 +4 =
Answer:
12
Step-by-step explanation:
5+4 is 9, and nine plus three is twelve
Answer:
12
Step-by-step explanation:
Simple meths
Write and solve an equation to find the value of x and the missing angle measures
Answer:
6x-4=4x+14
Step-by-step explanation:
x=
9
You've w How many solutions does this equation have? 10y = 10y - 2
no solution
one solution
infinitely many solutions
Answer:
no solution
Step-by-step explanation:
Subtract 10y from both sides of the equation:
10y -10y = 10y -10y -2
0 = -2 . . . . FALSE
There are no values of y that will make this be true. The given equation has NO SOLUTION.
a pack of 4 chocolate cost £1.20 what is the price per unit?
Inequalities equation
Answer:
y≤9.45
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
0.37037y≤3.5
Step 2: Divide both sides by 0.37037.
0.37037y/ 0.37037 ≤ 3.5 /0.37037
So when we do the division we end up with the answer being -
Y≤ 9.45
Hope this helps-
Sleepy~
simplify by combining like terms: 7- (6x+3)
Answer:
Step-by-step explanation:
7 - (6x + 3)
7 - 6x - 3 = 4 - 6x
the first 5 muliples of 14 after 0 are
Answer:
28,42,56,70,84
Step-by-step explanation:
Answer:
14,28,42,56,70
Step-by-step explanation:
hope it helps
Determina el valor de la expresión:
4 + 3 [4 – 26 – 3)] ÷ 2
Answer:
-33.5, -71/2, or 35 1/2 they are all the same
Step-by-step explanation:
There are 11 kids at a birthday party. If there are 6 girls and 5 boys at the party, what fraction of the kids are girls?
Answer:
6/11
Step-by-step explanation:
Fraction that are girls
girls/ total
6/11
Answer:
6/11
Step-by-step explanation:
5+6=11 girls =6 so 6/11
TRUE/FALSE: A sales tax and a tip are amounts that are subtracted from your cost. Group of answer choices True False
