Answers
Given:
The function is
[tex]h=3+25t-5t^2[/tex]
To find:
The values of t where h is 8 meters.
Solution:
We have,
[tex]h=3+25t-5t^2[/tex]
Putting h=8, we get
[tex]8=3+25t-5t^2[/tex]
[tex]0=3+25t-5t^2-8[/tex]
[tex]0=-5+25t-5t^2[/tex]
[tex]0=-5(1-5t+t^2)[/tex]
Dividing both sides by -5 and interchanging the sides, we get
[tex]1-5t+t^2=0[/tex]
[tex]t^2-5t+1=0[/tex]
Here, [tex]a=1,b=-5,c=1[/tex].
Using quadratic formula, we get
[tex]t=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]t=\dfrac{-(-5)\pm \sqrt{(-5)^2-4(1)(1)}}{2(1)}[/tex]
[tex]t=\dfrac{5\pm \sqrt{25-4}}{2}[/tex]
[tex]t=\dfrac{5\pm \sqrt{21}}{2}[/tex]
It can be written as
[tex]t=\dfrac{5-\sqrt{21}}{2}[/tex] and [tex]t=\dfrac{5+\sqrt{21}}{2}[/tex]
[tex]t=0.20871215[/tex] and [tex]t=4.7912878[/tex]
[tex]t\approx 0.21[/tex] and [tex]t\approx 4.79[/tex]
Therefore, the required values of t are 0.21 and 4.79.
Related Questions
50 points will give BRAINLIEST ASAP
Graph the function
f (x) = 3√x−2
Answers
Answer:
use DESMOS it helps you alot
Step-by-step explanation:
For a school fundraiser, Elena made x number of T-shirts. She ordered T-shirts and printed graphics
on them; she spent a total of $1000. She had to buy a printing machine for $350 and paid $5.00
per shirt for the blank shirts, ink, and other supplies. Write an equation to represent this story. If
you get stuck, consider drawing a diagram.
Answers
Answer:
y=5x+350
If Elena spent a total of $1000, she made 130 shirts.
Step-by-step explanation:
Let x be the number of T-shirts. Let y be the amount of money spent.
1000=5x+350
5x=650
x=130
5. Using the factor tree, What are the prime factors of 36
Answers
Answer:
Step-by-step explanation:
A factor tree is not unique for a given number. Instead of expressing 36 as 2 × 18, we can express 36 as 6 × 6. Prime factorization of 36 using factor tree method is 2 × 2 × 3 × 3 = 2² × 3².
which two pairs of points lie on a line that is represented by the equation y=3x-5?
Answers
Answer:
It's y
Step-by-step explanation:
Your pasta dish has a food cost of $3.79, and you want to have a markup of 400%. What will the final selling price be?
Answers
Answer:
18.95
Step-by-step explanation:
is it a function? explain briefly
Answers
Answer:
No
Step-by-step explanation:
Each output can only have one input ( 2 and 10 both go into 2)
NEED HELP ASAP!! Please show steps and answer correctly! :)
One car traveled 240 miles and drove 20 mph hour faster than a second car drove 160 miles. If the cars were traveling for the same time, how fast was the first car traveling?
Answers
Answer:
190
Step-by-step explanation:
Write the equation of the line that passes through the points (-4,1) and (−9,5). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answers
Answer:
y=4/-5x-3 1/5
Step-by-step explanation:
y2-y1/x2-x1
5-1/-9-(-4)
4/-5
-4=4/-5+b
+4/5 +4/5
-20/5+4/5
-16/5
y=4/-5x-16/5
3 1/5
If x=7 and y=−5, evaluate the following expression:3x−y/2
Answers
Answer:
( 3 ) ( 7 ) − ( [tex]\frac{-5}{2}[/tex] )
= 21 − ( [tex]\frac{-5}{2}[/tex] )
= [tex]\frac{47}{2}[/tex]
Hope it helps
Please mark me as the brainliest
Thank you
Help me with this!!!
Answers
Answer:
The coordinate of the midpoint is -2 1/2.
Step-by-step explanation:
Think of "midpoint" as "average" in this problem. The average of the endpoints -10 and 5 is (-10 + 5)/2, or -5/2, or -2 1/2
Are whole numbers closed with respect to multiplication?use an example to illustrate the answer
Answers
Step-by-step explanation:
The set of whole numbers of whole numbers is closed under addition and multiplication when because you add or multiple any whole numbers, the result is always whole number.EXAMPLE, closure property, 5 and 6 is whole numbers and multiplication of 5 and 6 is 30. Also, 30 is a whole number.Answer:
yup. whole numbers begin from zero
so any whole number times any whole number will give me a whole number
eg 0×4=0
67×98765=6617255
etc
note. a negative number isn't a whole number
What is m∠1 ? I need help.
Answers
Answer:
*update* 99
Step-by-step explanation:
What is the slope of the line that goes through
(2,-2) and (-1, 1)?
Answers
Answer:
m = -1
Step-by-step explanation:
use the slope formula so m = 1- -2 / -1 - 2
m = 1+2/-3, m=3/-3 so m = -1
Nayan plays different games in the play ground from 6.15 to 7.00 in the morning and
from 7.30 to 8.15 in the evening. So, how long does Nayan play the games?
Answers
Answer:
nayan plays for 45 min
Step-by-step explanation:
count up
Answer:
The answer is either 45 minutes or 90 minutes / 1 and a half hours
Step-by-step explanation:
You either add the two times together, as he plays for 45 minutes at one time and another 45 minutes at a later time. I'm not sure if the question is asking for the sum or how much time he plays for as an average because they are both 45 minutes.
what si the slope of y=-5x+4x
Answers
Answer:
Use the slope-intercept form y=mx+b to find the slope m. m=−1
Step-by-step explanation:
lets take the x's away from: -5x+4x
That will be -5+4
-5+4=-1
Because remember:
When adding positive numbers, count to the right.
When adding negative numbers, count to the left.
When subtracting positive numbers, count to the left.
When subtracting negative numbers, count to the right.
I hope this helps. :)
Answer:
m= 4
Step-by-step explanation:
Rewrite the slope-intercept form
y = 4x - 5
the using the slope-intercept form, the slope-intercept is 4
sorry if this doesn't help
what is the value of x in simplest radical form?
Answers
Answer:
13
Step-by-step explanation:
here's your solution
=> base = 12
=> perpendicular = 5
=> we need to find hypotenuse = ?
=> we know , h^2 = p^2 + b^2
=> h^2 = 12^2 + 5^2
=> h^2 = 144 + 25
=> h^2 = 169
=> h= √169
=> h= 13
hope it helps
Whats 1+1 and 2+2 and 3+7 I’m in the first grade
Answers
Answer:
1 answer is 2
2 answer 4
3 answer 10
Step-by-step explanation:
Add 1+1
get 2
Add 2+2
get 4
Add 3+7
get 10
If g = X - 9. and if x = 15, what is g?
Answers
Answer:
6
Step-by-step explanation:
g = x - 9
x = 15
substitute 15 for x in the first equation
g = 15 - 9
g = 6
Answer:
g = 6
Step-by-step explanation:
g = x - 9
x = 15
g = 15 - 9
g = 6
A school plans to build a swimming pool that has an area of 96 square meters. The school wants the pool to be more than 9 meters long. They also want the pool to be able to have at least four 2 meter wide lanes. If all the sides of the pool are whole meter lengths, what are the dimensions of the pool?
Answers
Answer:
If the pool has to have the length to be greater than 9 and the width to at least be 8 meters wide then it has to have dimensions of 12x8.
Hope this helps!
HELP ASAP FIND THE AREA
Answers
Answer:
14,112 hope this helps
Step-by-step explanation:
Answer:
you can cut the composite figure into two shapes, a smaller square and a larger one. Now you need to find the missing side for the smaller one since the bigger one is already supplied. We now that we can find the missing side for the 7m square which would also be 7 since 9+7 is 16, Now we can multiply so 7x7=49 and 9x14=126 and then all we need to do is add so 49+126=175m^2
Step-by-step explanation:
If barak spend 20$ at the mall. That represents 16% of the money he earned at the pizza parlor . How much money did barack earn
Answers
Answer:
$125
Step-by-step explanation:
20 is 16% of what number?
20 = .16n
n = 20/.16 = 125
Please help with this area question!
Answers
Answer:
Step-by-step explanation:
i thinks its 6 (im sorry if im wrong)
please help! i’ll mark brainliest
Answers
Giving Brainliest, easy question
Answers
Answer:
the 2nd answer
Step-by-step explanation:
Brainly does not support this explanation.For more go to : https://thatsthefinger.com/Answer: the second answer
Simplify the expression 5(x+2x)+(3*5)+(4)(x)
Answers
Answer: 3x -- 5 x + 9
Step-by-step explanation: = x (3--1) + (--5 + 9)
= x (2) + 4
= 2x + 4
putting x =3
= 2 (3) + 4
= 6 + 4
= 10
9514 1404 393
Answer:
19x +15
Step-by-step explanation:
5(x+2x)+(3*5)+(4)(x)
= 5(3x) +15 +4x
= 15x +4x +15
= 19x +15
(HELP I GIVE BRAINLIEST IF CORRECT)Which of the following number sentences show the correct method to find 9% of 27 Select TWO that apply.
A)9 x 27
B)0.09 x 27
C)9/100 x 27
D)0.9 x 27
Answers
Answer:
b and c
Step-by-step explanation:
0.09 × 27=2.43 and 9/100 × 27 = 2.43
WHATS THE ANSWER?????
Answers
Y≈29.732
Hope this helps!
will mark brainless!!! 7. Step 2: Calculate the perimeter of DEF using the scale factor.
62.5 ft
196.5 ft
163.75 ft
58 ft
Answers
WILL MARK BRANLIEST ANSWER IF GOTTEN RIGHT
Answers
The opposite of ∠C is 12, the hypotenuse is 20.
sin(C)= 12/20=3/5=0.60
Good luck!
Which is a quadrilateral that could have one pair of parallel sides and one pair of sides that are not parallel?
Answers
Answer:
trapezoid.
Step-by-step explanation:
A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs
Characteristics of a trapezoid
It has 4 vertices and edges
If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram
Area of a trapezoid = [tex]\frac{1}{2}[/tex] x (sum of the lengths of the parallel sides) x height
Perimeter = sum of lengths of sides of a trapezoid