Given:
The distance s (in feet) of the ball from the ground after t seconds is
[tex]s=64t-16t^2[/tex]
To find:
(a) At what time t will the ball strike the ground?
(b) For what time t is the ball more than 48 feet above the ground?
Solution:
(a)
We have,
[tex]s=64t-16t^2[/tex]
Substitute s=0, to find the time t when the ball strike the ground.
[tex]0=64t-16t^2[/tex]
[tex]0=16t(4-t)[/tex]
Using zero product property, we get
[tex]16t=0\Rightarrow t=0[/tex]
[tex]4-t=0\Rightarrow t=4[/tex]
Therefore, the ball strike the ground in initial condition (t = 0) and after 4 seconds (t = 4).
(b)
Now, s > 48, to find the time t when the ball will be more than 48 feet above the ground.
[tex]64t-16t^2\geq 48[/tex]
[tex]0> 16t^2-64t+48[/tex]
Divide both sides by 16.
[tex]0> t^2-4t+3[/tex]
[tex]0> t^2-t-3t+3[/tex]
[tex]0> t(t-1)-3(t-1)[/tex]
[tex]0>(t-1)(t-3)[/tex]
Related equation is [tex](t-1)(t-3)=0[/tex]. Zeroes are t=1,3. These two number divide the number line is three parts. (-∞,1),(1,3),(3,∞)
[tex]0>(t-1)(t-3)[/tex] inequality is true for only (1,3).
It is only possible when t lies in the interval (1,3).
Therefore, the ball will be more than 48 feet above the ground between 1 and 3 seconds.
Solve for x.
12x − 6 = − ( 18x + 11 )
A. 6
B. -6
C. 1/6
D. -1/6
Answer:
D
Step-by-step explanation:
12x - 6 = -18x - 11
12x + 18x = -11 + 6
30x = -5
x = -1/6
if you need 1/4 cup for 1 pound then how much of a cup would you need for 8 ounces?
Answer:
1/8
Step-by-step explanation:
1 pound =16 ounces
1/4 divided by 2 is 1/8
1/8=8 ounces
Help needed ASAP will give brainliest and 5 STARS RATE
Answer:
C.
Step-by-step explanation:
The line goes through the ordered pair (10, 6) It has a y-intercept of -2.
Answer: the x-intercept would be (2,-2)
Step-by-step explanation:
What is 8.61•10 to the power of negative 8
Answer:
0.0000000861
Step-by-step explanation:
Which expression would represent the cost of one CD, if the total cost for three of them is $36?
36-3
3(36)
36/3
3+36
Answer:
C: 36/3
Step-by-step explanation:
36 ÷ 3 = 12
We solve by using the total amount of dollars and dividing by how many CDs there are
Answer:C: 36/3
Step-by-step explanation:
36 ÷ 3 = 12
We solve by using the total amount of dollars and dividing by how many CDs there are
FIND VALUE OF X AND OF ANGLE ABC AND ACD
PLS HELP
GEOMETRY
Answer:
see explanation
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ ACD is an exterior angle of the triangle, thus
43 + 5x - 48 = 3x + 57 , that is
5x - 5 = 3x + 57 ( subtract 3x from both sides )
2x - 5 = 57 ( add 5 to both sides )
2x = 62 ( divide both sides by 2 )
x = 31
Thus
∠ ABC = 5x - 48 = 5(31) - 48 = 155 - 48 = 107°
∠ ACD = 3x + 57 = 3(31) + 57 = 93 + 57 = 150°
What are the slope and the y-intercept of the linear function that is represented by the equation Y=-10x+1?
a. The slope is -10, and the y-intercept is -1.
b. The slope is -10, and the y-intercept is 1.
c. The slope is -1, and the y-intercept is -10.
d. The slope is 1, and the y-intercept is -10.
Answer:
b. The slope is -10, and the y-intercept is 1.
Step-by-step explanation:
Y = slope(x) + y-intercept
Answer: B) slope = -10, y intercept = 1
The general form is y = mx+b
m = slope
b = y intercept
Comparing y = -10x+1 to y = mx+b we see that
m = -10
b = 1
x + y = -10 in slope intercept form
Step-by-step explanation:
Hey there!
Given;
x+y= -10
We know that slope intercept equation form of straight line is; y = mx+c.
So, let's try to convert it into that form.
Shift"X" in Right side.
y = -x-10
Therefore, y = -x-10.
Hope it helps..
PETS Last month, Hao's dog ate 40 cans
of dog food in 31 days. How many cans
should Hao buy to feed his dog for the
next 6 days?
Answer:
8 cans
Step-by-step explanation:
Answer:
8 cans
Hope I helped
How many packs of DVDs can you buy with 150 dollars if one pack costs 15 dollars ?
∛512 has the same value as which of the following?
Answer:
Today: Monday, 12 October 2020
Hour: 07.17 WIB (in Indonesia)
_________________________
∛512
= ∛8³
= 8^3 × 1/3
= 8¹
= 8
remember this!
∛x = x^⅓
Cho had $2.85 in nickels and $3.40 in dimes. Then she gave an equal number of her nickels and dimes to her brother. Now Cho has the same amount of money in nickels as in dimes.
The equation 285−5x=340−10x represents the situation.
Which does the variable x represent?
Will Give Brainliest
Answer:
x = 11Step-by-step explanation:
The equation represents as:
285 − 5x = 340 − 10x
combine similar terms:
285 - 340 = 5x - 10x
simplify:
-55 = -5x
divide -5 on both sides:
x = 11
i need help with this 1.5r – 3r + 8r + 2.5r i don't get it
Answer:
9r
Step-by-step explanation:
1.5r+2.5r-3r+8r
4r-3r+8r
r+8r = 9r
1. A relation is a set of
A) functions
B) y-values
C) frogs
D) ordered pairs
Answer:
d
Step-by-step explanation:
The sum of q and four times t is equal to 29.
Answer:
q+(4×t)=29. Hope that helped
Answer:q=116
29x4=q
plz mark brainlest it would really help me :)
the point (x,y) lies on the line y=x+2. the distance from p(1,0) to (x,y) is represented by d. write d as an expression in terms of x.
Answer:
Step-by-step explanation:
girl im confused too:/
Mai and Jada are both running on a treadmill. Mai travels 5 miles in 15 minutes. Jada travels 4 miles in 14 minutes. Who ran at a faster rate? Show and explain your reasoning
Answer:
Mai
Step-by-step explanation:
To find the rate, you must determine who is going faster per minute. To do this, you must divide the total number of miles by the total number of minutes.
Mai: 5 miles / 15 minutes = 1/3 miles per minute
Jada: 4 miles / 14 minutes = 2/7 miles per minute
Then, use a common denominator to make calculations easier:
Mai: 1/3 * 7/7
Jada: 2/7 * 3/3
You should get:
Mai: 7/21 miles per minute
Jada: 6/21 miles per minute
By looking at this, you can see that Mai is traveling slightly faster, going more miles than Jada per minute.
Help PLSSS!!! URGENTTT!!!
Answer: intrest is the last one but i cant answer the others sorry
Step-by-step explanation:
i tried
Your club is going to make and sell cookies as a fund raiser. You buy ingredients for $33.25
and a sign for $2.50. You will sell each cookie for $0.50. Write and solve an inequality to
determine the number of cookies (c) you must sell to earn a profit of at least $50.
Answer:
172
Step-by-step explanation:
If f(x) = x2 + 4x + 9. find f(-2)
Answer: f (-2) 5
Your welcome
A function is a relation between two variables where one variable is the set of inputs that gives the other variables as output.
The value of the function at x = -2 is 5.
The domain of the function = 5.
The range of the function = -2.
What is a function?A function is a relation between a set of inputs called domains and it has one output called the range.
Example:
f(x) = x + 2
At x = 2,
f(2) = 2 + 2 = 4
Domain = 2
Range = 4
We have,
f(x) = x² + 4x + 9
We need to find the value of the function at x = -2.
Substitute x = -2 in f(x).
f (-2) = (-2)² + 4x(-2) + 9
f (-2) = 4 - 8 + 9
f (-2) = 5
Thus the value of the function at x = -2 is 5.
Learn more about functions here:
https://brainly.com/question/26885907
#SPJ2
-5 > -6x + 6 or -2x > 4: I swear I am not dumb I’m just half asleep and forgot to do online work and have some problems that’s all:)
Answer:
X < -2 or x > [tex]\frac{11}{6}[/tex]
I hope this helps
if you could, feel free to mark me Brainliest it would be much appreciated :D
If h(x) = 5 + x and (x) = 5. which expression is equivalent to (k-1)(o)? (5+) 1 (5+) 5+ 5+ (5 + x)
(5+x)/x
K*H = 1/x(5+x) or (5+x)1/x which = (5+x)/x because (5+x)1/x = [(5+x)/1] * [1/x] and anything multiplied by one is equal to itself.
If h(x) = 5 + x and k(x) = 5 then the expression which is equivalent to (koh)(x) is 25+5x
What is a function?A relation is a function if it has only One y-value for each x-value.
The given functions are h(x) = 5 + x and k(x) = 5x
We have to find the expression which is equivalent to (koh)(x)
(koh)(x) = k(h(x))
=k(5+x)
Now we have to plug in 5+x in the function k(x)
k(5+x)=5(5+x)
=25+5x
Hence, if h(x) = 5 + x and k(x) = 5 then the expression which is equivalent to (koh)(x) is 25+5x
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ7
Need help!
Classify the following numbers as rational
2/3
3.1415926535...
0
Squared 1
7.4(bar over 4)
15
Squared 3
Which numbers are rational? Select all that apply!
Also can you identify which are irrational too?
That would be a great help.
Select all that apply!
<3 ASAP if u can!
Write a ratio for the following situation:
For every 5 female teachers, there are 2 male teachers
and it might not be 5:2
Answer:
5:2
It actually it is!
look female 5 male 2
5 : 2
female to male
(5) (2)
5 to 2
Step-by-step explanation:
Do you get it now?
Pls consider giving my answer Brainliest! It would mean and help a lot! ; )
Answer:
5:2
Step-by-step explanation:
The answer is 5:2 because:
1) Since there are 2 male teachers for every 5 female teachers, the ratio has to be 5:2 because they did not give us any specific numbers.
For example, if they 10 female teachers, then there would be 4 male teachers. The ratio for this example would be 10:4
Hope this helps! :D
can you afford to buy a $50 video game every month if you make $40 a week and spend an average of $150 a month on food and gasoline the same there 4 weeks in the month true or false
Answer:
false
Step-by-step explanation:
you cannot afford it
please help quickly !!
Answer:
50
Step-by-step explanation:
Answer:
-3x-12
Step-by-step explanation:
3x2(2+4)X22 PLEASE HELP
Answer: 18x24 or 792
Step-by-step explanation:
You need to write an essay that has at least 700 words. You have written 300 words so far. Write an inequality that represents the number of words w that you have left to write.
Answer:
300 + w ≤ 700
Step-by-step explanation:
It would not be 300 + w = 700 because you have to write at least 700 words, so 300 + w must be equal to or greater than 700, and the equal to or greater than sign is ≤
I hope this helps :)
Solve for the missing angle.
65
45
0 70
O 65
0 45
0 25
