Answer:
[tex]\huge\boxed{\text{1. } h(t) = -5(t-3)^2 + 45}[/tex]
[tex]\huge\boxed{\text{2. 3 seconds}}[/tex]
Step-by-step explanation:
If we're looking for the point at with the ball reaches its highest point, we want to find the graph's vertex. In order to get the equation into a form with the vertex in it, we need to convert the equation into vertex form. This is an equation in the form [tex]y=a(x-h)^2 + k[/tex], h being the x value of the vertex, and k being the y value of the vertex.
In order to convert our equation, [tex]-5t^2+30t[/tex] into vertex form, we can algebraically manipulate it to get it into the form we want.
[tex]-5t^2 +30t[/tex] [tex]-5 \cdot t^2 + 30t[/tex] (Separate the -5 from the t^2)[tex]-5(t^2-6t+0)[/tex] (Factor out a -5)[tex]-5(t^2 -6t + (-3)^2 - (-3)^2 + 0)[/tex] (Completing the Square)[tex]-5((t-3)^2 - (-3)^2 + 0)[/tex] (Binomial Formula)[tex]-5((t-3)^2 - 9)[/tex] (Simplify)[tex]-5(t-3)^2 + 45[/tex] (Factor the -5 back in)Therefore, our equation with the vertex in it is [tex]-5(t-3)^2 + 45[/tex]. To find the vertex, we can examine the equation to find the values of h and k in the formula [tex]y=a(x-h)^2 + k[/tex] (where the vertex coordinates are (h, k)).
It seems that h is 3 and k is 45. Therefore, the coordinate of the vertex is (3, 45). Since it asks for how many seconds after being hit does the ball reach its highest point, we would take the x value since x represents seconds. This is 3. Therefore, the ball reaches its highest point after 3 seconds.
Hope this helped!
WILL GIVE BRAINLIEST PLS HELP
An action figure is 5 inches tall. If the toy company modeled the action figure off of a TV star that is 6 feet 3 inches tall. What ratio did they use?
A. 15 inches = 1 inch
B. 14 inches = 1 inch
C. 14.4 inches = 1 inch
D. 1.6 inches = 1 inch
Answer:
a
Step-by-step explanation:
Someone please help me
Answer:
1. X: 0, -3
2. Y: 1, -1
3. Z: 4, -4
4. M: -4, 1
5. N: -2, 2
6. P: 2, 4
7. Q: 2, 0
8. R: -3, -1
Answer:
1. (0,-3)
2. (1,-1)
3. (4,-4)
4. (-4,1)
5. (-2,2)
6. (2,4)
7. (2,0)
8. (-3,-1)
9-17: first photo
18a: second photo
18b. A pentagon. When you connect the points, the shape has 5 sides
Step-by-step explanation:
(please will someone help me please). write the equation of the line in the graph the two points on the line are located at (0, 3) and (6,-1) multiple choice answers are . Y=3x. Y=1/3x+3. Y=2/3x+3. Y=-6x
Answer:
c) y=2/3x+3
Step-by-step explanation:
im pretty sure this is right :)
What is the slope of the line below?
Alexi's restaurant bill is $58, and he wants to leave a 20 percent tip. Which expression represents the total amount that
Alexi needs to pay?
O $58(0.20) + $58
O $58(0.20)
O $58(20) + $58
O $58(20)
Answer:
Here Is Your Answer $58(20)
PLEASE HELP THIS IS TIMED!!!! I WILL GIVE BRAINLIESTTTTTT
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −3
0 0
1 3
g(x)
g(x) = 7x + 2
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)
Answer
Given: Sorry the images are at the bottom.
To find:
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
Part B: Which function has a greater y-intercept? Justify your answer.
Solution:
On inspection of values of x and f(x) it is clear that f(x) is a linear function
i.e.
1)Slope of f(x) and y-intercept of f(x):
Convert the function in slope intercept form and calculate the slope.
Slope intercept form:
Here,
Slope of f(x)=1,
y-intercept of f(x)=(0,0)
2) Slope and y-intercept of g(x):
Slope of g(x)=7
Y-INTERCEPT of g(x) =(0,2)
Part A:
Slope of f(x) is 1 and slope of g(x) is 7.
Part B:
g(x) has a greater y-intercept.
Hope it helps you.
help pls
(screenie below)
Answer:
I thinks the answer is D nvm it's D
Does the graph in Exercise 33 have a Hamilton path? If
so, find such a path. If it does not, give an argument to
show why no such path exist
;
Answer:
there is a graph first step to but I cannot draw it on here but you already have your answer without Step 2
Step-by-step explanation:
a simple path in a graph G that passes through every vertex exactly once is called a path . the graph G has no past because any past containing all vertices must contain one of the edges (e, c) (d, f ) and (B, G) move than once .
Please help. :))))))
Answer:
6 because 9 is the length and you only do length times height and 54 divided by 9 is 6 therefore the height is 6
Answer:
6units
Step-by-step explanation:
A=bh
54units^2=9*h
h=54/9
h=6units
This should be easy
Answer:
69
Step-by-step explanation:
it's the holy number jesus christ can confirm
Answer:4
Step-by-step explanation:
Of the 100 students that were surveyed 36 students say
they were on their phone less than one hour a day. Of the
55 females, 40 use their phone more than one hour a
day. How many males say they use their phone less than
one hour a day?
HELP
Answer:
15 females say they use their phone less than an hour a day
36 - 15 = 21 males that use their phone less than an hour a day
(equation above is the total number of students that use their phone less than an hour a day, with the 15 females that do being subtracted from it. that will leave the number of males that use their phone less than an hour a day, which is your answer.)
Please Help :))
Find the value of x in each pair of similar figures
Answer:
21
Step-by-step explanation:
set up proportion and solve
18/12=x/14 (cross multiply)
252=12x
21=x
If Sally had six balls and Mark had seven how many balls did he have in all
Step-by-step explanation:
he had 7 balls
hope he healthy that's a lot of balls to have
Answer:
13 i think 6+7 = 13 yeh yeh
Answer
-10 – (-2) =
Answer:
8
Step-by-step explanation:
- (-2) is the same as + 2
-10 + 2 = -8
Answer:
-8
Step-by-step explanation:
Since there are two minus sign with the two, make it into plus. There fore the equation is -10+2= -8!
An 18% tip was left on a
$26 lunch bill. How much
was the tip?
Answer:
26+18%=30.68
30.68 - 26.00 = 4.68
4.68 = Tip
Step-by-step explanation:
Subtotal- $26.00
18% Tip- $4.68
Total= $30.68
Hope this helped :)
please help! please show work
Answer:
-8x ≤ 2divide both sides by -8 (if you dividing inequalities with negative values.. you have to flip the sign when writing the answer ) x ≥ -0.25your answer is (D)tell whether each question is true or false.
a.
[tex] \sqrt[3]{60} = 20 \: true \: or \: false[/tex]
b.
[tex] \sqrt[3]{64} = \sqrt{16 \:} true \: or \: false[/tex]
c.
[tex]25 = \sqrt[3]{125} \: true \: or \: false[/tex]
d.
[tex]12 = \sqrt[]{144} \: true \: or \: false[/tex]
e.
[tex] \sqrt{ \frac{4}{9} } = \sqrt[ 3]{ \frac{8}{27} } \: true \: or \: false[/tex]
Answer:
E
Step-by-step explanation:
Me sale a mi
Answer:
a is false, b. is true, c. is true, d. is true
Step-by-step explanation:
can someone explain because im confused
Answer:
I'm pretty sure it is yes
Step-by-step explanation:
7/1=7. 14/2=7. 21/3=7. 28/4=7. 35/5=7.
What is 151% of 70.Please explain how u did it.
Answer:105.7
Step-by-step explanation: 1.51 times 70
Answer:
[tex]151\% \: of \: 70 \\ \frac{151}{100} \times 70 \\ \boxed{105.7}[/tex]
105.7 is the right answer.the system shown is consistent, inconsistent, equivalent
Answer: Consistent (and independent)
Step-by-step explanation:
The meaning of the options are:
Consistent (and independent): There is only one point of intersection between the two lines.
Inconsistent: The lines never touch each other, this only can happen when the lines are parallel, so they have the same slope but a different y-intercept.
Equivalent (also called consistent and dependent): This happens when both lines are the same line, so they intersect in an infinite number of points.
In the graph, we can see that the lines intersect in only one point, then we can conclude that the system is consistent.
Answer:
Consistent
Step-by-step explanation:
Maddie's bedroom is rectangular. The length of one wall of Maddie's bedroom is 4 meters. The length from one corner of the bedroom to the diagonally opposite corner is 5 meters. What is the length of the other wall?
Answer:
The length of other wall is 3 meters.
Step-by-step explanation:
Given that:
Length of one wall = 4 meters
Length of diagonal from one corner to opposite corner = 5 meters
As the room is rectangular, the diagonal will form a right angled triangle.
The diagonal will be the hypotenuse.
Using pythagorean theorem;
[tex]a^2+b^2=c^2[/tex]
Here,
a = 4 and c = 5
[tex](4)^2+b^2=(5)^2\\16+b^2=25\\b^2=25-16\\b^2=9[/tex]
Taking square root on both sides
[tex]\sqrt{b^2}=\sqrt{9}[/tex]
b = 3 meters
Hence,
The length of other wall is 3 meters.
PLEASE HELP I RLLY DONT KNOW WHAT TO DO
For the function f(x) = 2x - 9, find the following
a. f(0)
b. f(2)
c. f(-3)
d. f(1/2)
Answer:
a) f(0) = -9
b) f(2) = -5
c) f(-3) = -15
d) f(1/2)=-8
Step-by-step explanation:
We are given the function [tex]f(x)=2x-9[/tex] and we need to find the following:
a) f(0)
For finding f(0) put x =0 in the given function
[tex]f(x)=2x-9\\Put\:x=0\\f(0)=2(0)-9\\f(0)=-9[/tex]
So, we get f(0)=-9
b) f(2)
For finding f(2) put x =2 in the given function
[tex]f(x)=2x-9\\Put\:x=2\\f(2)=2(2)-9\\f(2)=4-9\\f(2)=-5[/tex]
So, we get f(2)=-5
c) f(-3)
For finding f(-3) put x =-3 in the given function
[tex]f(x)=2x-9\\Put\:x=-3\\f(-3)=2(-3)-9\\f(-3)=-6-9\\f(-3)=-15[/tex]
So, we get f(-3)=-15
d) f(1/2)
For finding f(1/2) put x =1/2 in the given function
[tex]f(x)=2x-9\\Put\:x=\frac{1}{2}\\f(\frac{1}{2})=2(\frac{1}{2})-9\\f(\frac{1}{2})=1-9\\f(\frac{1}{2})=-8[/tex]
So, we get f(1/2)=-8
(8+6) -2 x 2 - 3^2 help
Answer:
Step-by-step explanation: ans is 1
Answer:
1
Step-by-step explanation:
14-2×2-9
14-4-9
10-9
1
Please just try and help it’s due in 18 mins. I’ll mark brainliest. :)
Convert 3 weeks to hours. Use a lable.
Answer: 504 hours.
Step-by-step explanation: I am assuming it says, use a table not a lable.
Well, I can't make a table, so I will tell you where to put everything in a table.
We start with placing one day, one day is 24 hours. One day goes on the top, 24 hours goes on the bottom. Then, we know there are 7 days in a week, so we jump ahead, we multiply 24 by 7 and 1 by 7.
24 x 7 = 168 and 1 x 7 = 7
So for every week, it is 168 hours. Now we need to find three weeks. So we multiply 7 x 3 to get the days. which is 21. Now we need to multiply the hours by the 3 weeks. So we multiply 168 by 3 which is 504.
So 504 hours are in 3 weeks.
what is the domain of h?
Answer:
The domain of given function is: [-7,7]
Step-by-step explanation:
Graphs can be used to determine the domain and range of a function.
On a graph, the values across the x-axis are domain and across y-axis are the range.
In the given graph, we can see that the graph starts from x=-7 and ends at x=7. The filled circle at both ends of the graph indicate that the values 7 and -7 are also included in the domain.
Hence,
The domain of given function is: [-7,7]
It is Monday.
/: There is chicken for lunch.
/
Write the inverse in if-then form.
The proper way to write this sentence would be:
If it is Monday then there is chicken for lunch.
May I have brainliest please? :)
Which can provide the most energy in an ecosystem?
a mushroom ,a coyote, a pine tree ,a grassy meadow
is 11/12 equivalent or greater to 11/13
Answer:
[tex] \frac{11}{12} > \frac{11}{13} [/tex]
Step-by-step explanation:
Here , the fraction has same numerators but the denominators are different. Whenever any 2 fractions have same numerator but diffeent denominators , the fraction whose denominator is less is greater than the fraction whose denominator is more.
Here 11 is common in both the numerators but when we talk about denominators , 12 < 13 . So,
[tex] \frac{11}{12} > \frac{11}{13} [/tex]
Verification :-
[tex] \frac{11}{12} = 0.9166666667 = 0.91(appx)[/tex]
[tex] \frac{11}{13} = 0.8461538462 = 0.84(appx)[/tex]
What is the slope to this?
Answer:
hozlatie
Step-by-step explanation: