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:
https://brainly.com/question/11631534
HELP ME PLEASEEEE I NEED ITT !
Answer:
10
Explanation:
130 divided by 13 equals 10
10 times 13 equals 130
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:
Help help help help help
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
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
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 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
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°
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
Which table of values is defined by the function y = 5x + 4?
What forms of the following equation in?
y+5=7(x−3)
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.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:
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
Are the figures below similar?
NO LINKS!! NEED ANSWER ASAP
Here is my answer. I hope it is helpful.
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
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
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
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)
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:
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?
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
C. Because slope =
rise over run the slope of a "downhill" line must be
run
what is the percent increase in 300 and 375
Answer:
25
Step-by-step explanation:
Answer:
300/375=0,8
it decrease
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
-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
Whats the answer to these questions?
Answer:
answer is attached
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.....
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.