A golf ball was hit with an initial velocity of 12 meters per second off the ground. The height of the ball after x seconds is modeled by the equation h(x)=-4.8x(x-2.5)
The ball hits the ground at 0 seconds or 2.5 seconds.
h represents the height of the golf ball after x seconds. The height is given by:
h(x)=-4.8x(x-2.5)
h(x) = -4.8x² + 12x
The time taken for the ball to reach the ground is at h(x) = 0, hence:
0 = -4.8x² + 12x
4.8x² - 12x = 0
x(4.8x - 12) = 0
hence x = 0; or 4.8x - 12 = 0
x = 0; or x = 2.5
Therefore the ball hits the ground at 0 seconds or 2.5 seconds.
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11. Circle the name of the student who correctly wrote the equation modeled below. Then, find the
solution to the equation ?
Answer:
the student that is correct is Gene and the solution is x=10
The equation that is correctly modelled is 2 = -8 - x.
GENE equation is correct.
We have,
From the model below,
The right-hand side:
This can be written as,
1 + 1 = 2 ______(1)
And,
The left-hand side:
This can be written as,
-x + 8 x (-1)
-x - 8
or
-8 - x ______(2)
Now,
From (1) and (2),
2 = -8 - x
Thus,
The equation that is correctly modelled is 2 = -8 - x.
GENE equation is correct.
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I just started this chapter someone help me with these 2 questions
Show your work on this I will mark as brainliest as well
Answer:
(-1, -4.5)
(-1.5, -2.5)
Step-by-step explanation:
To find the midpoint add the coordinates and divide by 2
19.( -8,-2) (6,-7)
((-8+6)/2, (-2+-7)/2) = (-2/2, -9/2) = (-1, -4.5)
20. ( 6,5) (-8,-10)
(( 6+-8)/2 , (5-10)/2) = (-3/2,-5/2) = (-1.5, -2.5)
Answer:
19. (-1, -4.5)
20. (-1, -2.5)
Step-by-step explanation:
19.
Use the midpoint formula.
[tex]\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]
Substitute the values.
[tex]\frac{-8+6}{2},\frac{-2-7}{2}[/tex]
Add/Subtract the numerators.
[tex]\frac{-2}{2},\frac{-9}{2}[/tex]
Divide.
-1, -4.5
20.
Use the midpoint formula.
[tex]\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]
Substitute the values.
[tex]\frac{6-8}{2},\frac{5-10}{2}[/tex]
Add/Subtract the numerators.
[tex]\frac{-2}{2},\frac{-5}{2}[/tex]
Divide.
-1, -2.5
A store sells bandanas for $2 each and combs for $1. Shelby buys 3 bandanas and a comb. Kendra buys 2 bandanas and 4 combs. Lucy has a "buy one get one half off" coupon, she plans on buying 4 bandanas. Find the total amount spent.
Answer:
the total cost is $21
Step-by-step explanation:
Shelby:
3 bandanas, 1 comb
3 × 2 + 1× 1
6+1= 7
kendra:
2 bandanas, 4 combs
2×2 + 4×1
4+4
=8
Lucy
4 bandanas
4×2=
8
since she has a buy 1 get 1 half off coupon
she pays full price for 2 hence 2×2= 4
half price for 2 hence 2×1 = 2
thus 4+2=6
total price= 7+8+6
= 21 dollars
Please answer this question it would make my day and I’ll give brainliest! it’s a math homework question Im stuck on):
Answer:
Step-by-step explanation:
It is actually fairly simple; just multiple the percentage by the total students, 10.
Cat, Dog: 10% of 10 is 1.
Cat, No Dog: 30% of 10 is 3.
Cat Total: 1+3 = 4.
No Cat, Dog: 40% of 10 is 4.
No Cat, No Dog: 20% of 10 is 2.
No Cat Total: 4+2 = 6.
Dog Total: 4+1 = 5.
No Dog Total: 3+2 = 5.
Factorize; x cubed - x squared y ?
ASAP, please
Answer:
x²(x - y)
Step-by-step explanation:
x³ - x²y ( x² is common to both terms so factor it out )
= x²(x - y)
Old solve
(x ÷ 5)(x÷5)(x÷5)
Answer:
1/125(x^3)
Step-by-step explanation:
Let's simplify this expression.
[tex]\frac{x}{5} * \frac{x}{5} * \frac{x}{5}[/tex] [tex]\frac{xxx}{5*5*5}[/tex] [tex]\frac{x^3}{5*5*5}[/tex] [tex]\frac{x^3}{125}[/tex] [tex]\frac{1}{125}x^3[/tex]Therefore, the simplified answer is [tex]\frac{1}{125}x^3[/tex].
Please help me thanks a lot
Answer:
C
Step-by-step explanation:
Plot your point at (-9,0) then draw your line with your slope (plot some other points first). Using algebra rearrange your y=mx+b formatted equation.
y=-5/3x-15, 3y = -5x - 45, 5x + 3y = -45
Determine a series of transformations that would map polygon ABCD onto polygon A’B’C’D’?
Answer:
A Translation 4 units leftwards followed by a reflection across the x-axis.
Step-by-step explanation:
he transformations are:
Translation 4 units leftwards.
Reflection across the x-axis.
You can deduct this transformations by using one vertex. Notice that E(4, -9) and E'(0, 9). You can observe that the transformed coordinate has the inverse y-coordinate, which indicates a x axis reflection. Also, it was shifted 4 units leftwards only.
what is the slope of the line through (-9,6), (-3,9)
If a student has a monthly income of about $250, how much do you predict he might spend on clothing in a month?
Answer: depends if there like someone like me 550 but if there responable then probaly 50-80
Step-by-step explanation:
can someone please help me with this
answer these 3 questoins
Answer:
b) m = 1/2
c) m = 3
d) m = 1/3
Step-by-step explanation:
b) rise = 1, run = 2; m = rise/run, so m = 1/2
c) rise = 3, run = 1; m = rise/run, so m = 3
d) rise = 1, run = 3; m = rise/run, so m = 1/3
write the equation for the slope intercept form
Answer:
y=2/3x-1
Step-by-step explanation:
Multiply. (−3 1/8)⋅(1 3/5) What is the product? Enter your answer in the box.
Answer:
-5
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
p is a degree 3 polynomial with p ( 0 ) = 22.08 and zeros 2 and 4 i . Find an equation for p with only real coefficients (i.e. no i in your equation).
Use x as your input, and round all answers to 2 decimal places as needed.
Answer:
P(x) = -0.69x³ + 2.76x² - 11.04x + 44.16Step-by-step explanation:
Let P(x) is the function with zero's 2 and 4i.
It has to have one more zero since it is of degree 3. This is a conjugate of 4i and is -4i.
The function has the shape of:
P(x) = a(x - 2)(x - 4i)(x + 4i)And we have P(0) = 22.08
Let's substitute and find the value of a:
22.08 = a(0 - 2)(0 - 4i)(0 + 4i)22.08 = a(-2)(-4i)(4i)22.08 = a(-2)(-16i²)22.08 = a(-32)a = - 22.08/32a = - 0.69The function is now:
P(x) = -0.69(x - 2)(x - 4i)(x + 4i)
= -0.69(x - 4)(x² + 16)
= -0.69(x³ - 4x² + 16x - 64)
= -0.69x³ + 2.76x² - 11.04x + 44.16
A Pentagon has 3 sides that are the same length and 2 sides with different lengths. The 3 sides are 8 cm long.The other 2 sides are 11 and 6 cm long. What is the perimeter?
41
Step-by-step explanation:
3(8)+11+6=24+17=41
PLEASEEE HELPPPPPPPPPPPPPPPPPP
Answer:
coordinate is 3rd or -;- coordinates
where is the point (7, -1-0) loacted on the coordinate plane?
Please help, I’ll mark your answer as brainliest!
just give me the coordinates plzplzplz
Answer:
(0,4) and (5,-3)
Step-by-step explanation:
Go follow lolzzzz
Did George Washington have a middle name
Answer:
Lol, I would like to answer the question tho...
(George Washington did not have a middle name.)
Step-by-step explanation:
Sheila has investments totaling $8000 in two
accounts. The savings account pays 6% interest and the
other account is in bonds paying an interest rate of
11%. If the annual interest from the two investments
totaled $780, how much did she invest in each account?
The amount she invested in each account is:
$6,000 invested at 11%
$6,000 invested at 6%
Let x represent the amount invested at 11%
Hence:
.11x+.06(8000-x)=780
.05x+480=780
Collect like terms
.05x=300
Divide both side by .05x
x=300/.05
x=$6,000
Inconclusion the amount she invested in each account is: $6,000 invested at 11% and $6,000 invested at 6%.
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Foundation Geometry
A. 57*
B. 90*
C.33*
D.67*
Answer:
B or D
Step-by-step explanation:
I believe the answer is B or D if it is not im am very sorry i forgot
What is the sum of 1 + 1?
1 + 1 = 2
Have a beautiful and joyful day ahead.
Answer:
1+1= 2
have a nice day stay safe <3
3x - 5y = 4, -2x + 6y = 18 (system of equations)
Answer:
(x, y) = (57/4, 31/4)
Step-by-step explanation:
-2x + 6y = 18
-2x = 18 - 6y
x = -9 + 3y
3(-9 + 3y) - 5y = 4
-27 + 9y - 5y = 4
4y = 31
y = 31/4
x = -9 + 3(31/4) = 57/4
Answer:
Step-by-step explanation:
-5y=4-3x
y=(4/-5)-(3/-5x)
2x+6y=18
6y=18-2x
y=18/6-(2/6x)
y=y
(4/-5)-(3/-5x)=18/6-(2/6x)
0.93x=3.8
x=3.8/0.93
x=4.09
sub 4.09 for the 3x-5y=4
which will give you y=1.65
sub 4.09 for -2x+6y=18
which will give you y=4.36
the value of x - y is
Answer:
Yes, in a Cartesian Coordinate system each point is given by two numbers. If the question is "where" the function has a max or min value, that's "x", the first number in pair. If the question is "what" is that max or min function value, thats "y", the second number in the pair
Best answer gets brainliest!
Whats the question?
The answer: Shreks Smelly Armpits
Whats the question?
Answer:Shreks smelly armpit
Step-by-step explanation:cause you wrote it??
Answer:
Shreks Smelly Armpits
Step-by-step explanation:
Question:
The Land of Duloc is having a smell test with the smeliest armpits to win. Donkeys armpits have a 7/98 stink level. Shrek has x14 smelleier armpits than donkey. Lord Farquade has the same smell level as shrek but x0. Whos armpit is the smelliest?
Solve:
Donkey: 7/98 SECOND PLACE
Shrek 7 x 14 = 98 = 98/98 FIRST PLACE
Lord Farquade: 98 x 0 = 0 THIRD PLACE
Answer: Shreks Smelly Armpits
The following table shows how many pizzas Dave’s pizzeria has sold each hour.
Write the slope intercept equation, and find the constant rate of change and the vertical intercept of the line. Explain how they are related to this situation.
Answer:
x=3.3333333333333333333333333333333