A golf ball was hit and modeled by
-16x2 + 11x + 6 = 0
When will the golf ball hit the ground?
Round to the nearest hundreths
By using the quadratic formula, we can conclude that the golf ball will hit the ground at x = 0.5 seconds.
What is the quadratic formula?
The quadratic formula is a formula that gives the solutions of a quadratic equation in the form [tex]ax^2 + bx + c = 0[/tex], where a, b, and c are constants and x is the variable. The formula is:
x = (-b ± [tex]\sqrt{b^2 - 4ac}[/tex]) / 2a
This formula can be used to find the values of x that satisfy the quadratic equation.
To find when the golf ball will hit the ground, we need to find the value of x when the height of the golf ball is equal to zero. We can do this by solving the quadratic equation [tex]-16x^2 + 11x + 6 = 0[/tex] using the quadratic formula:
x = (-b ± [tex]\sqrt{b^2 - 4ac}[/tex]) / 2a
where a = -16, b = 11, and c = 6. Substituting these values, we get:
x = (-11 ± [tex]\sqrt{11^2 - 4(-16)(6)}[/tex] ) / 2(-16)
x = (-11 ± [tex]\sqrt{361}[/tex])/ (-32)
Simplifying this expression, we get:
x = (-11 ± 19) / (-32)
So the two possible values of x are:
x = 8/16 = 0.5 and x = 30/16 = 1.88
Since the height of the golf ball is equal to zero when it hits the ground, we can conclude that the golf ball will hit the ground at x = 0.5 seconds (rounded to the nearest hundredth).
To know more about quadratic formulas visit:
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Helena’s family drank 4,600 milliliters of milk for breakfast on Friday. On Saturday they drank 2 times as much milk as they did on Friday. how many liters of milk did they drink in total?
Answer:
9.2 liters of milk
Step-by-step explanation:
4600 * 2 = 9200
9200 milliliters = 9.2 liters
Which linear equation has no solution?
3/2 (9x +6) 3
5x + 12 = 5x -7
4x + 7 = 3x + 7
-3(2x - 5) = 15 - 6x
9514 1404 393
Answer:
5x + 12 = 5x - 7
Step-by-step explanation:
There will be no solution when the coefficients of x are the same on both sides of the equal sign and the constants are different. That is the case for ...
5x + 12 = 5x - 7
This reduces to ...
19 = 0 . . . . . no value of x will make this be true: NO SOLUTION
HEY CAN ANYONE PLS ANSWER MY MATH QUESTION!!!!1
Answer:
The blue and yellow macaw is 33 inches long.
Step-by-step explanation:
If the toucan is 22 inches long and it's two thirds the length of the macaw you can divide by two to find what one third is.
22 ÷ 2 = 11
So then you have to multiply by 3 to find what the full length is.
3 x 11 = 33 inches
Hope that helps and have a great day!
Answer:
33 inStep-by-step explanation:
Let the length of the macaw be xThe length of the toucan is 22 inThen we have equation
x*2/3 = 22x = 22 ÷ 2/3x = 22*3/2x = 33 inBlue-and-yellow macaw is 33 in long
Who ever gets it I will give 20 points and Brainly.
Answer:
104?
Step-by-step explanation:
pretty sure that's it 3x2 =6 10x11=110 but your painting around the window which it 6 ft so take 6 away and boom 104!
Answer:
104 ft²
Step-by-step explanation:
Given :-
Dimensions of wall = 10 x 11Dimensions of window = 2 x 3To Find :-
Area to be PaintedSolving :-
Area (painted) = Area (wall) - Area (window)Area (painted) = 10 x 11 - 2 x 3110 - 6104 ft²(-3/8) times 1 times (-9/10) times -8/3
Step-by-step explanation:
-3/8 × 1 × -9/10 × -8/3
we know
- × - = +
+ × - = -
therefore, since we have 3 negative factors we get a negative result.
we can ignore the completely neutral multiplication by 1.
-3/8 × -9/10 × -8/3 = -(3×9×8)/(8×10×3) = -9/10
Find the measure of angle BAD 53% 21%
Answer:
Can I see a picture? Or the angle diagram?
Me podrian ayudar con ese ejercisio por favor?? Me salvarian 4. Dadas las sucesiones de término general an = n + 3 y bn = 5n − 1 , realiza las siguientes operaciones: a) an – bn b) an + 3bn 5. Escribe los ocho primeros términos de la sucesión ( an ) dada por: a1 = 1, a2 = 1, an = an−1 + an−2
Explicación paso a paso:
Dado
an = n + 3
bn = 5n-1
a) an-bn = n + 3- (5n-1)
= n + 3-5n + 1
= n-5n + 3 + 1
= -4n + 4
an-bn = 4-4n
b) an + 3bn = (n + 3) +3 (5n-1)
= n + 3 + 3 (5n) +3 (-1)
= n + 3 + 15n-3
= n + 15n + 3-3
= 16n + 0
= 16n
an + 3bn = 16n
3) Dado a1 = 1, a2 = 1
an = an-1 + an-2
Debemos escribir los primeros ocho términos de la secuencia.
a3 = a3-1 + a3-2
a3 = a2 + a1
a3 = 1 + 1
a3 = 2
a4 = a3 + a2
a4 = 2 + 1
a4 = 3
a5 = a4 + a3
a5 = 3 + 2
a5 = 5
a6 = a5 + a4
a6 = 5 + 3
a6 = 8
a7 = a6-a5
a7 = 8 + 5
a7 = 13
a8 = a7 + a6
a8 = 13 + 8
a8 = 21
Por tanto, los primeros ocho términos de la secuencia son 1, 1, 2, 3, 5, 8, 13 y 21
WHOEVER ANSER'S THIS WILL GET THE BRAINLESS!!!!!!!!! NEED ANSWER ASAP
Answer:
I think the last one?
Step-by-step explanation:
20. The diagram shows a supplementary angle. Determine the value of x. *
Answer:
C
Step-by-step explanation:
supplementary angles sum to 180° , then
3x + 15 + 60 = 180 , that is
3x + 75 = 180 ( subtract 75 from both sides )
3x = 105 ( divide both sides by 3 )
x = 35
HELPPPPPPPPPPPPPPPPPPPPPPPPP
Please help fast!!! Part A How many solutions does the pair of equations for lines A and B have?
Explain your answer. (5 points)
Part What is the solution to the equations of lines A and B?
Explain your answer. (5 points)
Answer:
Part A: 1
Explain: The solution for a pair of lines is where they intersect.
Part B: (3,4)
Explain: (3,4) is the place where the lines intersect.
whats 3x+27=39 will mark brainliest
Answer:
x=4
Step-by-step explanation:
Answer:
Step-by-step explanation:
5x+39=3x+27 i think your welcome :)
2.5 as a mixed number but the 5 is repeating
Answer:
[tex]2\frac{5}{9}[/tex]
Step-by-step explanation:
Hi !
2.(5) = 2 5/9
Good luck !
the GCF of 44 and 20
Solve for y when x = 2. y = 4x +2 * I REALLY NEED HELP HHDJDICUHDHHEI HELP ME BRUH
Answer:
y=10
Step-by-step explanation:
y=4x+2
y=4(2)+2
y=8+2
y=10
Answer:
y=10
Step-by-step explanation:
plug-in 2 to x
[tex]y=4(2)+2[/tex]
multiply 4 and 2
[tex]y=8+2[/tex]
add 8 and 2
[tex]y=10[/tex]
Can someone please help?!
Answer:
Go to symbolab . com and enter in the problems, it will give you the answers and show you the steps it took to solve them
Step-by-step explanation:
My teacher wants me to write the angles of a circle what are they?
Answer:
Well the only answer to this question that I can think of is 360 that's because all of the angles in a circle are equal to 360.
Step-by-step explanation:
I WILL GIVE BRAINLEST.Raquel has 4 brownies. She wants to give an equal share to each of her friends. How would Raquel share these brownies equally among herself and 5 friends? Use words, pictures, and an equation to explain your thinking.
Answer:
4/5 brownies for each person.
Step-by-step explanation:
4 brownies between 5 people equals 4/5, or 4 divided by 5.
The product of c and 3 is greater than -26
Answer:
The given phrase "The product of c and 3" can be converted into an algebraic equation as C (times) 3
Step-by-step explanation:
I might be wrong but i rlly hope this helps u in some way :)
Answer:
[tex]3c > -26[/tex]
Step-by-step explanation:
"The product of c and 3" means to multiply c with 3: [tex]c * 3[/tex] or [tex]3c[/tex]
"is greater than": [tex]>[/tex]
"-26": -26
Put the terms together:
"The product of c and 3 is greater than 3": [tex]3c > -26[/tex]
Can anyone answer this?
To say that two or more angles are equal, we draw a little arc. If there are two arcs then it means that the angle with also two arcs marked is equal in measure, and so on
--> so:
∠A ≅ ∠Y
∠B ≅ ∠Z
∠C ≅ ∠X
To say that two more sides are equal, we draw a little tic mark. If there are two tics then it means that the sides with also two tics marked are equal in length, and so on.
--> so:
AB ≅ YZ
AC ≅ YX
BC ≅ ZX
And thus ΔACB ≅ ΔYXZ <-- we got this by matching corresponding angles of equal length
Hope it helps!
Help please this is due soon zzzzzzszzsszzndbdbdjdbdndn
P = 40 + 12 + 28 + 16 + 12 + 28
P = 136 ft.
Attached solved problem.
Consider marking "Brainliest".
Thank you.
The figure below is formed from a trapezoid and a right triangle.
E
9 cm
F
15 cm
G
15 cm
12 cm
20 cm
H
What is the total area of the figure?
O A. 240 cm2
OB. 264 cm?
OC. 288 cm2
OD. 300 cm
Answer: I think 288
Step-by-step explanation:
Find the sum 3x^2/x-8 + 6x/x-8
Answer:
Step-by-step explanation:
STEP
1
:
x
Simplify —
x
Equation at the end of step
1
:
(3•(x2))
————————+((6•1)-8)
(x-8)
STEP
2
:
Equation at the end of step
2
:
3x2
——————— + -2
(x - 8)
STEP
3
:
3x2
Simplify —————
x - 8
Equation at the end of step
3
:
3x2
————— + -2
x - 8
STEP
4
:
Rewriting the whole as an Equivalent Fraction
4.1 Adding a whole to a fraction
Rewrite the whole as a fraction using (x-8) as the denominator :
-2 -2 • (x - 8)
-2 = —— = ————————————
1 (x - 8)
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3x2 + -2 • (x-8) 3x2 - 2x + 16
———————————————— = —————————————
1 • (x-8) 1 • (x - 8)
Trying to factor by splitting the middle term
4.3 Factoring 3x2 - 2x + 16
The first term is, 3x2 its coefficient is 3 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is +16
Step-1 : Multiply the coefficient of the first term by the constant 3 • 16 = 48
Step-2 : Find two factors of 48 whose sum equals the coefficient of the middle term, which is -2 .
-48 + -1 = -49
-24 + -2 = -26
-16 + -3 = -19
-12 + -4 = -16
-8 + -6 = -14
-6 + -8 = -14
A train leaves Boston at 10:20 AM and arrives in Stamford at 1:00 PM. Find the distance between the stations if the average speed of the train is 60 mph
Answer: 160 miles
Step-by-step explanation: From 10:20 to 12:20 is 2 hours which is 120 minutes and it is 60mph so it is 1 mile per minute. 12:20 to 1:00 is 40 minutes so you add 40 to 120 which makes it 160. So the answer is 160 miles
What is the value of x?
o x=2
o x=3
o x=4
o x=6
Answer: x=3
Step-by-step explanation:
9^6/9^6 simplify please i need a lot of help
Answer:
The answer is 1
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below . Solve for x
Answer:
180=90+63+4x+3
6=x
Step-by-step explanation:
Write two equivalent ratios to 10:14
Answer:
20:28 and 30:42
Step-by-step explanation:
Answer:
[see below]
Step-by-step explanation:
10/2 : 14/2 = 5:7
10 * 2 : 14 * 2 = 20:28
Hope this helps.
Choose two numbers which absolute value of 5 1/2
Answer:
11/2,5.5
Step-by-step explanation: