1. What are the coordinates of the vertex of the graph? Is it a maximum or minimum?
Answers
Answer:
Hi there!
The correct answer is: (0,1) maximum
Step-by-step explanation:
vertex: the point where the parabola crosses its axis of symmetry.
when the graph is concave down, maximum
when the graph is concave up, minimum
Answer:
Coordinates of the vertex: (0, 1), and it is a maximum.
this corresponds to the second of the listed answer options.
Step-by-step explanation:
Notice that the vertex of the parabola is at the very top of the curve, and corresponds to the maximum value that the coordinate "y" can reach for the parabola (y = 1)
The position of that vertex is exactly at the point where x = 0 and y = 1, so this can be written as:
(0, 1)
Related Questions
Can you solve this for me? Thank you! :>
Answers
Answer:
Whatever you do one one side of the equal sign, you must do on the other side.
Step-by-step explanation:
Plese help me thank you!
Answers
Answer:
y=2x
Step-by-step explanation:
Every y value is double the x value on top.
y=6:
6 = 3 × ?
? = 2
y=10:
10 = 5 × ?
? = 2
And so on....
So the equation that represents this data is :
y=2x
can you please list down the answers?
Answers
Answer:
B; C
Step-by-step explanation:
V = (4/3)*pi*(r^3)
pi = 3.14, r = 4.5
so V = (4/3)(3.14)(4.5^3) which is choice B
--
use calculator to solve: V = 381.51 which is choice C
An artist’s canvas has sides measuring 3x – 3 and 4x + 1 inches.
What is the area of the canvas? Show all work.
The artist laid the canvas flat on the floor and poured some paint in the center. The paint flows at a rate of r(t) = 4t where t represents time in minutes and r represents how far the paint is spreading on the canvas. The area of the paint can be expressed as A[r(t)]= πr². What is the area of the circle created by the paint?
If the artist wants the circle to be at least 1300 in², will it be that large in 5 minutes? Support your answer with your work.
Answers
Step-by-step explanation:
Finding the area of the canvas:
The canvas has sides measuring 3x - 3 and 4x + 1 inches. To find the area, we multiply the lengths of the sides. So, the area of the canvas is given by:
Area = (3x - 3) * (4x + 1)
= 12x^2 + x - 3
Therefore, the correct equation for the area of the canvas is A = 12x^2 + x - 3.
Finding the area of the circle created by the paint:
The rate at which the paint is spreading on the canvas is given by the function r(t) = 4t, where t represents time in minutes and r represents how far the paint has spread. The area of the circle created by the paint can be expressed as A[r(t)] = πr^2, where r(t) is the distance the paint has spread at time t.
Substituting the value of r(t) = 4t into the formula, we get:
A[r(t)] = π(4t)^2
= 16πt^2
Therefore, the area of the circle created by the paint is 16πt^2.
Determining if the circle will be at least 1300 in² in 5 minutes:
To check if the area of the circle will be at least 1300 in² in 5 minutes, we substitute t = 5 into the equation for the area:
A[r(5)] = 16π(5)^2
= 400π
Approximating the value of 400π, we get approximately, 1256.64.
Since 1256.64 is less than 1300, we can conclude that the area of the circle created by the paint after 5 minutes will not be at least 1300 in².
A = (3x - 3)(4x + 1)
A = 12x² - 8x - 3
The paint is spreading at a rate of r(t) = 4t, which means that the radius of the circle is also increasing at a rate of 4t. Therefore, the area of the circle can be expressed as:
A[r(t)] = πr²
A[r(t)] = π(4t)²
A[r(t)] = 16πt²
We want to find out if the area of the circle will be at least 1300 in² in 5 minutes. So we need to substitute t = 5 into the equation for the area of the circle:
A[r(5)] = 16π(5)²
A[r(5)] = 400π
The area of the circle created by the paint after 5 minutes is 400π in², which is approximately 1256.64 in². Since this is less than 1300 in², the circle will not be that large in 5 minutes.
a committee consisting of 4 faculty members and 5 students is to be formed. every committee position has the same duties and voting rights. there are 7 faculty members and 13 students eligible to serve on the committee. in how many ways can the committee be formed?
Answers
and
C(13, 5) = 13! / (5!(13-5)!) = (13 * 12 * 11 * 10 * 9) / (5 * 4 * 3 * 2 * 1) = 1287
Multiply these two combinations since the faculty members and students are selected independently:
Total number of ways to form the committee = C(7, 4) * C(13, 5) = 35 * 1287 = 45,045
Therefore, there are 45,045 ways to form the committee consisting of 4 faculty members and 5 students.
For faculty members:
There are 7 eligible faculty members, and we need to select 4 of them for the committee. This can be done using the combination formula:
C(7, 4) = 7! / (4!(7 - 4)!) = 35.
So, there are 35 ways to select 4 faculty members from the 7 eligible ones.
For students:
There are 13 eligible students, and we need to select 5 of them for the committee. Using the combination formula again:
C(13, 5) = 13! / (5!(13 - 5)!) = 1287.
Therefore, there are 1287 ways to select 5 students from the 13 eligible ones.
To form the committee, we multiply the number of ways to select faculty members by the number of ways to select students:
35 * 1287 = 44,895.
Hence, there are 44,895 ways to form the committee consisting of 4 faculty members and 5 students from the eligible candidates.
For breakfast, Mr hill bought a cup of coffee for 1.39 and a bagel for 1.85. How much change will he get for 5.00
Answers
Hence, the change he get is $\(1.76\).
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given that,
For breakfast, Mr hill bought a cup of coffee for \(1.39\) and a bagel for \(1.85\).
So, the total he bought is \(1.39+1.85=3.24\)
He has the savings \(5.00\)
So, it would be
\(5.00-3.14=1.76\)
Hence, the change he get is $\(1.76\).
To know more about the equation
https://brainly.com/question/12788590
#SPJ2
2. The graph shows a proportional relationship between the number of prairie dogs in a community and the amount of grass they eat per week.
Answers
Answer:
A.3,000 prairie dogs
B. 18,000 pounds
C. 6 pounds per prairie dog
Step-by-step explanation:
A. Use graph
B. 2000x9=18,000
C.18000 divided by 3000= 6
*Give 5 stars*
Help pls. Also wdym this is to short yk why so long >:/
Answers
Answer:
Y= mx + b
so Y = 1/3x + 2
just substitute
Now, we shall use points (3,2) as the substitutes for the solution for b, which 3 would be the input and 2 would be y.
Therefore, 2 = 1/3(3) + b
2 = 1 + b, therefore, one would be subtracted from 2 which would give us the answer of b equaling to one. Thus, y = 1/3x + 1
-8(-6+2j) thank you it’s pretty easy
Answers
Answer:
48 - 16j
Step-by-step explanation:
Answer:
-16j+48
Step-by-step explanation:
Simplifying
Rearrange Terms
\(-8(-6+2j)\\-8(2j-6)\\\)
Distribute
\(-8(2j-6)\\-16j+48\)
Imagine below explains, please help! This is my last question on my homework.
Answers
2 ⇒ 1
3 ⇒ 3
4 ⇒ 2
5 ⇒ 1
6 ⇒ 3
7 ⇒ 5
8 ⇒ 2
9 ⇒ 4
10 ⇒ 0
11 ⇒ 2
12 ⇒ 2
Hope my answer helps you✌️
Mark BRAINLIEST
Which list orders the numbers from least to greatest?
Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth
A number line going from negative 4 to positive 4.
Negative 1 and one-eighth, negative 1.5, negative 2 and one-fourth, negative 2.4, negative 3
Negative 3, negative 2.4, negative 2 and one-fourth, negative 1.5, negative 1 and one-eighth
Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5
Negative 1.5, negative 1 and one-eighth, negative 2.4, negative 2 and one-fourth, negative 3
Answers
Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth
Hope my answer helps you✌️
Describe features that determine a translation, rotation, and reflection.
Answers
Translation: It’s a transformation that moves every point in a figure the same distance in the same direction.
Rotation: It’s a a transformation that turns a figure about a fixed point.
Reflection: It’s a transformation that takes a shape/preimage and flips it across a line called the line of reflection to create a new shape/image.
Answer:
np!..Brainliest pls
Step-by-step explanation:
translation:- its not rotated,reflected or resized.
rotation:-the roation is the same size and shape
reflection:- the preimage is flipped,across a line of reflection to create the image.Each point of the image is the same distance from the line as the preimage is, just on the opposite side of the line.
Sally deposited $120 into her bank account for 30 months. After 30 months, Sally earned $15 in simple interest. Find the interest rate that Sally earned from the bank.
Answers
Answer:
0.5
Step-by-step explanation
$15 divided by 30 months equals $0.5
Pls help me do today
Answers
Answer:
\(\overline{OT}=\textsf{line segment OT}\)
Step-by-step explanation:
\(\overline{OT}=\textsf{line segment OT}\)
\(\angle OT=\textsf{angle OT}\)
\(\longleftrightarrow\\OT=\textsf{line OT}\)
\(\overrightarrow{OT}=\textsf{ray OT}\)
OT means "ray OT."
Explanation:
"Line segment OT" refers to a part of a line between two endpoints, excluding the endpoints."Angle OT" refers to the measure of the angle at point O formed by rays OA and OT."Line OT" refers to the straight path that extends indefinitely in both directions through point O and T."Ray OT" refers to the straight path that starts at point O and extends indefinitely through point T in one direction.A box of greeting cards contains 20 birthday cards, 15 get-well cards, and 15 thank-you cards.
Find the percent of each type of card in the box.
A:20 B:30 C;35 D:40
Answers
Answer:
the bday cards are 40%, the get well cards are 30%, and thank you cards are 30%
Step-by-step explanation:
hope it helps :)
Answer:
A: 40%, B: 60%, C: 70%, D: 80%
Step-by-step explanation:
20 + 15 + 15 cards = 50 cards (we are going to use 50 as the denominator)
(multiply the numerator and denominator by 2 for each answer) 20/50 = 40%
30/50 = 60%
35/50 = 70%
40/50 = 80%
Connie draws this model to help her solve a problem which expression is represented by Connie's model
Answers
Kacey and her three friends went out for lunch, and they wanted to leave a 15% tip. The reciept shown below shows the lunch total before tax and tip. The tip is on the cost of the food before tax. The sales tax rate in Pleasantville is 8.75%. Part A - Find the actual total of the bill including tax and tip. Part B - If Kacey and her three friends split the bill equally, how much will each person pay including tax and tip
Answers
but do the cost of food times 0.15 to find out the tip. then do the cost of the food times 1.0875 to find out how much the total would be. then add the tip to the total.
for part B just take the total of everything (previous answer) and divide it by three.
Ten packs of tickets for rides at an amusement park sell for $125.00. One family has already used two of their tickets. They now have 9.6 packs left. Which equation can be used to find t, the number of tickets in each package, and the correct solution?
Answers
If one ticket is 0.2 of a package, then there are 5 tickets every pack. There are 50 tickets in 10 packs.
Which of the following is a statistical question that can result in numerical data?
How many miles do you ride your bike each week?
How many miles do the students in your class run each week?
Who is the dentist at Uptown Dentistry?
How many pets do your grandparents have?
Answers
Answer: First, Second and Third.
Step-by-step explanation: Each can be answered with an integer. For example, you can ride 10 miles on your bike each week.
The students can do 10 miles each week.
Your grandparents could have 20 pets.
The data can be plotted into a graph and this would count as statistical/numerical data.
HELP TIME ALMOST OUT! Drag the tiles with equivalent ratios into each box, two tiles have no match
Answers
Answer: 1:8 , 15:120
2:3, 40:60
Step-by-step explanation: 1:8= 15:80
80/15=8, so it is equal to 1:8.
40:60
40/60=2/3
Answer:
all i know is that 1:8 and 15:120 are equivalent
Step-by-step explanation:
A survey of all beings on planet kent found that 60% preferred tott juice to all other juices. if 12 beings preferred tott juice, how many beings were surveyed altogether?
Answers
Answer:
20 people were surveyed
Step-by-step explanation:
12 is 60% of what?
2r-5/4 = 58
I don’t understand what to do next
Answers
Hi
The aim of an equation is to have the letter on one side and a value to the pther side of the equal sign.
For achieving this goal, I can use all operation I know and all quantities I want as long as I do it to each side in the same time. I will make apparent operation in bold.
So :
2r - 5/4 = 58
if I want 2r to be alone, I need to get rid of -5/4
The best way to do that is to add 5/4 to each side as -5/4 + 5/4 = 0
so
2r -5/4 +5/4 = 58 +5/4
2r +0 = 58 +5/4
now we have :
2r = 58+5/4
I will caculate the value of 58 +5/4
best way to do that is to convert 58 into a fraction . as 58 *4 = 232 so 58 = 232/4
so now we have :
2r = 232/4 +5/4
2r = 237/4
2r = 59.25
Now we have " 2r " , but my aim is to have only one " r" . So we divide by "2" on each side :
2r /2 = 59.25 /2
r =29.625
If I want to check my result, I exchange the letter by the value I found.
2 ( 29.625 ) - 5/4 = 59.25 - 5/4 = 59.25 - 1.25 = 58
as 58 is the value given in line one for 2r - 5/4 , so my result is correct.
Answer:
r = 118.5
Explanation:
Given expression:
\(\sf \dfrac{2r-5}{4} = 58\)
Multiply Both sides by 4
\(\sf \dfrac{2r-5}{4} \times 4 = 58\times 4\)
Doing so gives:
\(\sf 2r-5 = 232\)
Add 5 on both sides
\(\sf 2r-5+5 = 232 + 5\)
Simplify following
\(\sf 2r = 237\)
Dividing Both sides by 2
\(\sf r = 118.5\)
pls help me if you can i dont need the work shown just the answer
Answers
Answer:
B
Step-by-step explanation:
HELP PLEASE!!
This table represents the number of ounces, u, a kitten grows after w, weeks.
When graphed, all of the points in the table lie on the same line.
What is the slope and y-intercept of the line?
slope=2/3, y-intercept=−0.2
slope=−3/2, y-intercept = 3
slope= 3/2, y-intercept = 3
slope= −2/3, y-intercept=−0.2
Answers
Y intercept is the value of y at x = 0
At x = 0, y = 3
Y intercept is 3
The rate of growth of the cat is positive, meaning thats it gains, not loses, weight.
Option C is the only correct one.
It has a positive slope, and a y intercept of 3
To solve for slope mathematically, pick two points.
(0, 3) (6,12)
(x1, y1) (x2, y2)
or
(x2, y2) (x1, y1)
Pick which one is x1 and y1 and x2 and y2 based on what seems easier to calculate
Slope is equal to \(\frac{y2-y1}{x2-x1}\)
\(\frac{12-3}{6-0}\)
9/6
slope is 3/2
Hope this helps,
Jeron
:)
yes heavenly father, help me through these tough ways of life, and answer for me
Answers
Answer:
3/2 T
Step-by-step explanation:
We can use ratios to solve
1/4 paprika 3/4 paprika
--------------------- = ----------------
1/2 garlic x garlic
Using cross products
1/4x = 1/2 *3/4
1/4x = 3/8
Multiply each side by 4
1/4x *4 = 3/8 *4
x = 3/2
Kevan earns a net salary of $55,670 per year and pays a tax rate of 21%. How much income tax does Kevan pay?
Answers
Solve the following equation with Rational Coefficients. Round the answer to the nearest tenths if necessary. 1.2y=15
Answers
Answer:
I am sorry, I do not know what Rational Coefficients are but y=12.5.
Step-by-step explanation:
If you have 1.2y=15 then you divide both answers by 1.2 and then you get y=12.5. Hope this helps, Let me know if correct!!
PLEASE HELP I'M IN A HURRY I'LL MARK SOMEONE THE BRAINLIEST
Answers
Answer:
There are 4 possible solutions:
w=1, x=3, y=8, z=24, and A=8;w=2, x=6, y=3, z=12, and A=6;w=3, x=9, y=2, z=8, and A=6;w=6, x=18, y=1, z=4, and A=6.Step-by-step explanation:
Note that this is a System of Equations with only 4 equations, and 5 unknowns:
\(wy=A\\wz=24\\xy=18\\xz=72\)
In general, when there are more unknowns than equations, it is likely that it is not possible to solve for a unique solution, and that there are infinitely many solutions. In this particular case, the values of w, x, y, z, and A, are limited to whole numbers. There ends up being a limited-finite number of solutions.
Based on the dependency of the table, the product of x and z is 72. So, finding all pairs of factors that multiply to 72 will give all of the possibilities for x and z, from which we could solve for the corresponding values of w, y, and A.
Factor pairs of 72:
1 & 72
2 & 36
3 & 24
4 & 18
5 (doesn't divide out evenly)
6 & 12
7 (doesn't divide out evenly)
8 & 9
To find the possible solutions, we can examine each pair of factors sequentially:
Option 1: x=1 & z=72
Return to equation wz=24. When z=72, w=1/3, not a whole number, so there will be no solution where x=1 & z=72.
Option 2: x=2 & z=36
Return to equation wz=24. When z=36, w=2/3, not a whole number, so there will be no solution where x=2 & z=36.
Option 3: x=3 & z=24
Return to equation wz=24. When z=24, w=1.
Return to equation xy=18. When x=3, y=8.
Return to equation wy=A. When w=1 & y=8, A=8.
So, there is a solution with w=1, x=3, y=8, z=24, and A=8.
Option 4: x=4 & z=18
Return to equation wz=24. When z=18, w=4/3, not a whole number, so there will be no solution where x=4 & z=18.
Option 5: x=6 & z=12
Return to equation wz=24. When z=12, w=2.
Return to equation xy=18. When x=6, y=3.
Return to equation wy=A. When w=2 & y=3, A=6.
So, there is a solution with w=2, x=6, y=3, z=12, and A=6.
Option 6: x=8 & z=9
Return to equation wz=24. When z=9, w=8/3, not a whole number, so there will be no solution where x=8 & z=9.
Don't forget, the multiplication is commutative, so the factor pairs could be reversed for 6 more options that we need to check.
Option 7: x=9 & z=8
Return to equation wz=24. When z=8, w=3.
Return to equation xy=18. When x=9, y=2.
Return to equation wy=A. When w=3 & y=2, A=6.
So, there is a solution with w=3, x=9, y=2, z=8, and A=6.
Option 8: x=12 & z=6
Return to equation xy=18. When x=12, y=3/2, not a whole number, so there will be no solution where x=12 & z=6.
Option 9: x=18 & z=4
Return to equation xy=18. When x=18, y=1.
Return to equation wz=24. When z=4, w=6.
Return to equation wy=A. When w=6 & y=1, A=6.
So, there is a solution with w=6, x=18, y=1, z=4, and A=6.
Options 10, 11, & 12: x=24, 36, or 72
Return to equation xy=18. For each of these cases, note that x is greater than 18, and so y will be less than 1, not a whole number, so there will be no solution for any of those options.
ConclusionThere are 4 possible solutions where the values are all whole numbers. The four solutions are as follows:
w=1, x=3, y=8, z=24, and A=8;
w=2, x=6, y=3, z=12, and A=6;
w=3, x=9, y=2, z=8, and A=6;
w=6, x=18, y=1, z=4, and A=6.
Can you please help me?
Answers
Answer: 18
Step-by-step explanation:
x is the number we need to find
We have this equation :
2 ( 3x - 10 ) + 2 = 5x
= 6x - 20 + 2 = 5x
= -20 + 2 = 5x - 6x
= -18 = -1x
x = -18 ; 18
Hope it helps !
Answer: the original number is 18
Step-by-step explanation:
Kelsey’s monthly earnings can be represented by the expression 200 + 75s, where s is the number of sales she makes in one month.
If Kelsey makes 48 sales each month, how much will she earn in 12 months?
First right=brainliest
Answers
Answer:
he will make 576
Step-by-step explanation:
u just do 48 x 12