The function of the water balloon is an illustration of a quadratic function.
The balloon will splat on the ground after 2.5 seconds
The function is given as:
[tex]h(t) = -6t^2 + 13t + 5[/tex]
When the balloon splats on the ground, the value of h(t) is 0.
So, we have:
[tex]-6t^2 + 13t + 5 = 0[/tex]
Expand the expression
[tex]-6t^2 + 15t- 2t + 5 = 0[/tex]
Factorize the above expression
[tex]-3t(2t - 5)- 1(2t - 5 )= 0[/tex]
Factor out 2t - 5 in the 2t - 5
[tex](-3t - 1)(2t - 5 )= 0[/tex]
Split the equation into 2
[tex]-3t - 1 = 0\ or\ 2t - 5= 0[/tex]
Rewrite as:
[tex]-3t = 1\ or\ 2t = 5[/tex]
Solve for t
[tex]t = -\frac 13\ or\ t = \frac 52[/tex]
The value of t cannot be less than 0 i.e. negative.
So, we have
[tex]t = \frac 52[/tex]
Divide 5 by 2
[tex]t = 2.5[/tex]
Hence, the balloon will splat on the ground after 2.5 seconds
Read more about quadratic functions at:
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Are the figures below similar?
NO LINKS!! NEED ANSWER ASAP
Here is my answer. I hope it is helpful.
Are the given lines parallel? How do you know?
Y=0, x=1
And
X=-2, x=5
Answer:
those aren't limes, they're points.
Step-by-step explanation:
yeah-ya.......... right?
Allison buys some cloud storage for her files. On average, she adds files that take up 2 megabytes each day. After 64 days, she has 96 megabytes of memory remaining in the cloud.
Determine the equation, in slope-intercept form, of the line that represents the amount of memory remaining after xecks days.
Answer:
the answer is 224, if it is asking for the amount of megabytes she bought
Step-by-step explanation:
If she adds 2 megabytes each day, and after 64 days she only has 96 megabytes then
64 times 2 = 128
128 + 96 = 224
so 224 = the amount of megabytes she bought
Which table of values is defined by the function y = 5x + 4?
a. Examine the zeros of the graph, and write a function that models this situation.
b. After 10 minutes, the elevation model changes and is given by the function Use the Edmentum Graphing Tool to graph this function. Capture a screenshot of your graph, and paste it in the space provided.
Answer:
See below
Step-by-step explanation:
A) We have zeroes at (2,0) (3,0) (5,0) (9,0) and (10,0). Therefore, we can write the function as (x-2)(x-3)(x-5)(x-9)(x-10) = x⁵-29x⁴+311x³-1519x²+3360x-2700
B) View attached screenshot for reference
HELP PLEASE!! What are the answers, say the answers to the blanks and if you can please try to explain it please i failed algebra 3 times and i really need help
Answer:
step: 4(x-24x)to the power of 2 = 3-7 or -4
Step-by-step explanation:
solution: solve it
would love to have a second opinion, this is what i got.
What forms of the following equation in?
y+5=7(x−3)
On the grid below, which point is located in the quadrant where the x- and y-coordinates are both negative numbers?
A
B
C
D
PLEASE HURRY. WILL GIVE BRAINLIEST. 100pts
Answer:
a - 4/11
b - 11/30
c - 9/25
Step-by-step explanation:
have a lovely day <3
Answer:
a b c
Step-by-step explanation:
hope it helps
-2x + 3y=-22
-6x + 3y = -18
What do you have to multiply the first equation by
to have the x's be opposite and the same?
Answer:
To be able to find what a variable equals, it has to be the only variable in the equation. Having an equation where a variable is opposite of another equation allows you to find the value of the other variable.
Step-by-step explanation:
4(2x-5) = 5x + 4
What is the answer? Please include step by step method.
Answer:
x=8
Step-by-step explanation:
4(2x-5) = 5x + 4
First, use distributive property for the first part of the equation:
8x - 20 = 5x + 4
Then, move everything to the left of the equation:
Remember, when you move something over an equals sign, the sign in front of the number changes.
8x - 20 - 5x - 4 = 0
Then, combine the like terms:
3x - 24 = 0
Move the -24 to the other side of the equation:
3x = 24
Finally, divide both sides by 3 to isolate the x.
3x/3 = 24/3
3 cancels out on the first half.
x = 24/3
x = 8
Hope this helps! Have a great day!
Answer:
x=8
Step-by-step explanation:
Step 1.
4(2x-5)=5x+4
8x-20=5x+4
Step 2.
Add 20 to both sides
8x-20=5x+4
8x-20+20=5x+4+20
Step 3.
Simplify add the numbers
8x=5x+24
Step 4.
Subtract 5x from both sides of the equation
8x=5x+24
8x-5x=5x+24-5x
Step 5
Simplify
combine like terms
3x=24
Step 6
Divide both sides of the equation by the same term
3x=24 3x/3=24/3
Step 7
Simplify
Cancel terms that are in both the numerator and denominator
divide the numbers
x=8
Help me with the whole thing pls
Answer:
B and 90%
Step-by-step explanation:
4500 = m•5000
m = 0.9 × 100%
90% of the books are fiction
What is the slope for these cordinates
(-8,11) , (17,4)
Answer:
[tex]\displaystyle m = \frac{-7}{25}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
Point (-8, 11)
Point (17, 4)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{4 - 11}{17 - -8}[/tex][Order of Operations] Evaluate: [tex]\displaystyle m = \frac{-7}{25}[/tex][tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]
We've been asked to find slope of the following coordinates which are (-8,11) and (17,4).
The standard formula to calculate slope is given by,
[tex]:\implies\footnotesize\rm{Slope = \frac{y_2 - y_1}{x_2 - x_1} }[/tex][tex]:\implies\footnotesize\rm{Slope = \frac{4 - 11}{17 - ( - 8)} }[/tex][tex]:\implies\footnotesize\rm{Slope = \frac{ - 7}{17 + 8} }[/tex][tex]:\implies\footnotesize\rm{Slope = \frac{ - 7}{25} }[/tex]The slope is -7/25.Rotate the following triangle 90 degrees.
A(4, -3) B(-12, 8) C(6, -4)
Answer:
given vertices of triangle ABC
A(4, -3) B(-12, 8) C(6, -4)
Rotating through 90°
P (x , y) -----> P' (y , -x)
A(4, -3) ------> A' ( -3 , -4 )
B(-12, 8) -----> B' (8 , 12 )
C(6, -4) ------> C' (-4 , -6)
What is the unit rate of scoops of high-protein food to scoops of high-fiber food if the food is made up of 80% high-fiber chimp food to 20% high-
protein food?
(answer in fraction)
Answer:
10. 31.14
10/31+14
Step-by-step explanation:
Surya cut a pumpkin into three pieces. He sold two pieces that weighed about 1/2 and 1/3 respectively of the total weight of the pumpkin. If the remaining pumpkin weighed 600g. Which of these will be CLOSEST to the total weight of the pumpkin?
A. 1 KG
B. 3 KG
C. 3.6 KG
D. 4.8 KG
PLS ANSWER ASAP!!! ILL MAKE U BRAINLIEST♡
Answer:
b
Step-by-step explanation:
help plz I don't know what I'm doing
Answer:
d
Step-by-step explanation:
Answer:
Sorry for the late response / Its D
Step-by-step explanation:
Plz mark brainliest
what is the percent increase in 300 and 375
Answer:
25
Step-by-step explanation:
Answer:
300/375=0,8
it decrease
Which of the following choices is equivalent to the question 5(2x-1)=5(2x-1)=5(5x-14)?
2x- 1=5x-14
5(2x-1)=5x-14
2x-1=5
None of these choices are correct
Answer:
None of these choices are correct
80 cm of 2m express as percentage
Answer:
There are 200 centimetres in 2 metres. Therefore, 80 centimetres is equal to 80/200 x 100 = 40 percent of 2 metres
A park in the shape of a rectangle has side
lengths of 7 miles and 9 miles. Approximately how
much shorter is the walk diagonally across the park
than along the two sides of the park?
Answer:
2.6 miles shorter:) hope this helps
14x-21y
factorise this equation
Answer:
7(2x - 3y)
Step-by-step explanation:
Take out what they both have, put it on the outside.
Put the rest on the inside.
Answer:
7 (2 x - 3y)
Step-by-step explanation:
round 6.073 to 2 decimal places
Answer:
6.07
Step-by-step explanation:
6.073 rounded to two decimal places is 6.07. Hope this helps.
the answer to the question is 6.07
HELP ME PLEASEEEE I NEED ITT !
Answer:
10
Explanation:
130 divided by 13 equals 10
10 times 13 equals 130
Whats the answer to these questions?
Answer:
answer is attached
please help me i will give you a brainlist thingy thanksss
I could not see the first question so i couldn't answer.
2) Draw a horizontal line and cut it in half with a vertical angle. 4 equal quarters will form. There each quarter is 90° (right angle is exactly 90°angle)
3) Just add the two angles.
x =13+19
x= 32° (Answer)
4) We must know the other angle value in order to find x. So considering both the angles are equal,
2x = 44
x= 22° (Answer)
5) Yes, x = 80° because the line cutted is a straight line and the value of a straight line is 180°
6) Supplementary angles total 180°
Complementary angles total 90°
7)Opposite angles is equal when two straight lines intersect. So,
14x - 16 = 12x + 22
14x-12x=22+16
2x= 38
x= 19° (Answer)
8) Corresponding angles
9) 140°
Solve for the value of p.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER!!!!
Answer:
The angles are supplementary meaning they equal 180 degrees so the angles have to equal 180.
p + 7 + 3p + 1 = 180
4p + 8 = 180
-8 -8(subtracting 8 from both sides)
4p = 172
/4 /4(dividing by 4 on both sides)
p = 43
Answer:
A straight angle measures 180°(p + 7) + (3p + 1) = 180
p + 7 + 3p + 1 = 180
4p + 8 = 180
4p = 180 - 8
4p = 172
•°• p = 172/4 = 43
C. Because slope =
rise over run the slope of a "downhill" line must be
run
Find the value of x in the given figure
Answer:
32°
Step-by-step explanation:
Its pretty strait forward.
2x + 60° + 3x - 40° = 180°
5x + 20° = 180°
5x = 160°
x = 160°/5
x = 32°
Actually I am from India, Please Mark me as brainliest.....