help is super appreciated this should probably be fast
2. Determine the y – intercept, zeros, the equation of the axis of symmetry and vertex of each quadratic
relation.
y = (x − 3)(x+3)
Answers
[tex]\\ \rm\rightarrowtail y=(x-3)(x+3)=x^2-9[/tex]
Zeros are x intercepts
(3,0) U(-3,0)#2
Y intercept=-9#3
Axis of symmetry=x=0
#4
Vertex=(0,-9)
Answer:
Given quadratic equation: y = (x - 3)(x + 3)
Zeros (x-intercepts)
The zeros of a quadratic equation are the points where the graph of the quadratic equation crosses the x-axis. So the x-intercepts (zeros) are when y = 0
⇒ (x - 3)(x + 3) = 0
⇒ (x - 3) = 0 so x = 3
⇒ (x + 3) = 0 so x = -3
Therefore, the x-intercepts are at (3, 0) and (-3, 0).
y-intercept
The y-intercept is the point where the graph crosses the y-axis. So the y-intercept is when x = 0
⇒ (0 - 3)(0 + 3) = -9
Therefore, the y-intercept is at (0, -9)
Vertex
Expand the equation so that it is in standard form y = ax² + bx + c:
⇒ y = x² - 9
x-value of vertex is -b / 2a ⇒ -0 / 2 = 0
substitute the found value of x into the equation to find y:
⇒ y = (0)² - 9 = -9
Therefore, the vertex is (0, -9)
Axis of symmetry
Axis symmetry of a quadratic equation is x = a where a is the x-value of the vertex.
Therefore, the axis of symmetry is x = 0
Related Questions
The cost of 5 dozen pencils is rs 300.Find the cost of 7 dozen pencils.
Answers
5 dozen = 300
so
1 dozen = 300 : 5 = 60
so
x 7 = rs 420
Answer:
Rs 420
Explanation:
5 dozen pencils → Rs 300Find the cost of each dozen pencils
1 dozen pencils → Rs 60Then multiply by 7
7 dozen pencils → Rs (60 * 7)Final answer:
7 dozen pencils → Rs 420Which equation represents the sentence, "The sum of three times p and twenty-five is q"?
A. (3 + 25) = q
B. 3(p + 25) = q
C. 3p – 25 = q
D. (3p + 25) = q
Answers
Answer:
D. (3p + 25) = q
Sketch a graph x - y =5
Answers
Answer:
Step-by-step explanation:
*View attached graph*
Hope this helps!
I need someone to solve this ASAP.
Answers
Answer:
320 ft² (nearest whole number)
Step-by-step explanation:
Given:
height of fence post = 8 ftdiameter of fence post = 1 ft ⇒ radius = 0.5 fttotal number of posts = 12π = 3.14Surface area of a cylinder = 2πr² + 2πrh
⇒ SA of one fence post = 2 · 3.14 · 0.5² + 2 · 3.14 · 0.5 · 8
= 1.57 + 25.12
= 26.69 ft²
As there are 12 fence posts,
Total paint needed = 12 × 26.69
= 320.28 ft²
= 320 ft² (nearest whole number)
Write an equation of the line that passes through the points (1, -6) and
(5, -6).
Answers
Answer:
Step-by-step explanation:
Hello ;
y= -6
What is the value of the expression (6 + 3)2
15
18
45
81
Answers
Answer:
Probably 81.
Maybe 18.
See explanation below.
Step-by-step explanation:
(6 + 3)² = 9² = 9 × 9 = 81
(6 + 3) × 2 = 9 × 2 = 18
I think you mean the first expression in which 2 is an exponent, but since it's not clear, I solved it both ways.
What is the mean , median
Answers
The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average.
write 2.36 x 10^-3 as a decimal number (ordinary form)
Answers
Answer:
0.00236
Step-by-step explanation:
Move the decimal left 3 times as the exponent is negitiave 3
PLEASE HELP! Match the steps to find the equation of the parabola with focus (-1, -8) and directrix y = - 12.
Answers
Answer:
3,2,1,6,5,4
Step-by-step explanation:
Hope this helps!!!
All the correct steps to find the equation of the parabola with focus (-1, -8) and directrix y = - 12 are,
1. 2p + (- 8) = - 12 Find p
2. Since the focus is at - 1, Find the x - coordinates for the vertex.
then, vertex is at - 1
3. y = - 8 - 2 Find the x - coordinates for the vertex.
4. (- 1, - 10) Vertex coordinates
5. (x + 1)² = 4(-2) (y+10) Write the formula for the parabola.
6. (x + 1)² = -8 (y+10) Simplify the formula.
Given that,
In a parabola,
Focus = (-1 , - 8)
And, Directrix =; y = - 12
The standard equation of a parabola is,
[tex]y = - p (x - h)^2 + k[/tex]
Where, (h, k) is the vertex of the parabola.
Now, the Statement with reason to find the equation of a parabola is,
Statement Reason
1. 2p + (- 8) = - 12 Find p
p = - 2
2. Since the focus is at - 1, Find the x - coordinates for the vertex.
then, vertex is at - 1
3. y = - 8 - 2 Find the x - coordinates for the vertex.
y = - 10
4. (- 1, - 10) Vertex coordinates
5. (x + 1)² = 4(-2) (y+10) Write the formula for the parabola.
6. (x + 1)² = -8 (y+10) Simplify the formula.
To learn more about parabolas visit:
https://brainly.com/question/29635857
#SPJ4
Gabriella has the following winter accessories:
1 winter coat: black
2 hats: blue, purple
2 pairs of boots: black, brown
5 pairs of mittens: black, blue, purple, red, white
Find the probability of wearing the coat with the purple hat, black boots, and purple mittens.
Find the probability of wearing the coat with the purple hat,black boots,purple mittens?
Answers
Answer:
4/10 = 2/5
2/5 is thr probability of her wearing coat with purple hat, black boots and purple mittens
A cylinder has a height of 19 meters and a radius of 10 meters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth
Answers
Answer:
Pi times radius to the power of two times the height
Step-by-step explanation
i gave you the formula now solve
Water is pumped from a tank at constant rate, and no more water enters the tank. If the tank contains 22,917 L at 2:45 PM and 8,077 L at 5:25 PM the same day, how much water will the tank contain at 6:10 PM that day?
Answers
The amount of water that the tank will contain at 6:10 PM that day is 4174 L.
What is a Conversion Rate?
The conversion rate of a physical quantity is the method by which a unit of measurement is changed from one process to another by following a standard conversion rate and dimensional analysis.
From the information given:
The difference in the time from 5:25 PM to 2:45 PM is 2 hours:40 minutesIf we convert 2 hours:40 mins to minutes, we have = 160 minutesThe difference in the water in the tank within these two periods is:
= 22917 L - 8077 L
= 14840 L
In one minute, the amount of Liter is:
= 14840/160
= 92.75 Liter/minute
Similarly, between 6:10 pm and 5:25 pm, there are 45 minutes difference.
Therefore, the amount of water that the tank will contain at 6:10 PM that
day is;
= 45 minutes × 92.75 Liter/minute
= 4174 Liters
Learn more about conversion rate here:
https://brainly.com/question/1810058
Ronnie raises chickens and pigs. He has 220 animals. He counted 640 legs. How many chickens does Ronnie have? Explain your thinking.
Answers
Answer:
f all his animals were pigs, there'd be 880 legs, There are 240 legs missing which represents 120 chickens (so he has 220 - 120 100 pigs.)
Check: (120 x 2) + (100 x 4) = 240 + 400 = 640 QED
what is 247*367 can you please help
Answers
Answer:
90,649
Step-by-step explanation:
Hey! So I'm going to help you through this problem in two ways! One with a calculator where you'll just get the answer, and also handwritten, just in case you aren't able to use a calculator on a future assignment or test! :)
By calculator, 247 × 367 = 90,649
I hand calculated in the image below, and with each step after multiplying the number in ones place in the bottom number (the lowest number) by each of the top numbers (the biggest number), I add an extra zero before adding my multiplication for each place!
So! With 2 ways to do it depending on your class or preference, your answer is 90,649 :)
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Answer:
90,649
Step-by-step explanation:
hope this helps!!!!!
Your new computer cost $1500 but it depreciates in value by about 18% each year. About how long will it take before your computer is worth close to zero dollars, according to your equation?
Answers
Answer:
5.5 years
Step-by-step explanation:
100/18 = roughly 5.5 years (5.55555556 to be exact)
Hope this makes sense.
X squared minus 5x equals 0
Answers
Help help help help help
Answers
Answer:
y = -1x + 7
Step-by-step explanation:
Slope intercept formula: y = mx + b
m = slope
b = y-intercept
Given:
slope = -1
y-intercept = 7
Substitute the given values into the slope-intercept formula: y = mx + b
y = -1x + 7
hope this helps!! p.s. i really need brainliest :)
Mx+b
m equals the slope y equals the intercept
Evaluate the double integral int int y^3 dA where D is the triangular region with vertices (0,1), (7,0) and (1,1).
Answers
Answer:
1/5
Step-by-step explanation:
Refer to the image for the region. I've chosen to "scan" the region horizontally for convenience sake, so x varies for values between the green and the red line, and y varies from 0 to 1.
The two lines have equations [tex]x=7-6y[/tex] (red line) and [tex]x=7-7y[/tex] (green line). Since we're integrating first with respect to x, it's easier to write the equation like that and not as [tex]y=mx+q[/tex] since they will become our new limits of integration
Our double integral will become
[tex]\int \limits_0^1 \ \ \int \limits_{7-7y}^{7-6y}y^3dxdy = \int \limits_0^1 y^3x|\limits_{7-7y}^{7-6y} dy =\\\int \limits_0^1 y^3[(7-6y)-(7-7y)]dy = \int \limits_0^1y^3(y)dy =\\\int \limits_0^1 y^4dy =\frac15y^5|\limits_0^1=\frac15[/tex]
I typically give 12% of money I receive to my church. My uncle died recently and left me some money. I donated $408 to my church in his memory. How much did he leave to me in his will?
Answers
your uncle left you with "x" total, which is the 100%, now, we also know that 408 is 12% of that, so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 408& 12 \end{array} \implies \cfrac{x}{408}=\cfrac{100}{12}\implies \cfrac{x}{408}=\cfrac{25}{3} \\\\\\ 3x=10200\implies x=\cfrac{10200}{3}\implies x=3400[/tex]
Which of the following are not polynomials?
A. x^2+2sqrtx+1 B. 2/x^2+x+1 C. 2/3x^2+x+1 D. x^2+ sqrt2x + 1 E. x^-2+x+1
Answers
Answer:
A
Step-by-step explanation:
CAN SOMEBODY HELP ME SOLVE THIS EQUATION
Answers
2. 3
Sorry I don’t have time to answer anything else
The dotted lines show how piano wire
is used to slice this cube. What will be
the shape of the cross section?
Answers
Answer:
C. rectangle (not a square)
Step-by-step explanation:
So image that the wire just sliced that piece of the cube right off:
It would give you a triangular prism,
HOWEVER, this is asking for the cross section:
The part of this triangular prism that was actually connected to the cube
and in this case, it would show that the bottom of the cut off part is rectangle.
You can also think of this as: What shape would be left over on the cube?
Cutting this piece off would give you a shape left over that is a rectangle.
What is 45% of 69/3???
Answers
Answer:
10.35
Step-by-step explanation:
69/3 = 23
45% of 23 = 10.35
Answer:
10.35
Step-by-step explanation:
69/3 = 23
45% of 23 = 10.35
Why are you deleting my answers??
121.45 - 80.28 = ___
A.
39.97
B.
42.27
C.
41.13
D.
41.17
Answers
Answer:
D.
41.17 because it is possible answer to the question
Each letter in the word THEORETICAL is written on a separate slip of paper and placed in a hat. A letter is chosen at random from the hat.
d. Find a word for which the probability that you choose R when you randomly choose a letter from the word is 2/5.
Answers
Answer:
parry
Step-by-step explanation:
You are looking for a 5-letter word that has two letters R in it. One such is ...
parry
Mindy has already saved $20 and plans to save $8 each month.Georgette has no money saved yet but plans to to save $5 each month.Will the girls ever have saved the same amount?
Answers
Answer:
no
Step-by-step explanation:
because mindy has already saved $20 and is putting $8 which is more than the amount georgette is putting (monthly) and plus georgette has no money saved so basically mindy will have more money saved
An artist has a block of wood that weighs 62.7 ounces. She wants to carve it into a wooden bear to enter in a contest. The rules allow sculptures that weigh up to 45 ounces. Complete and solve an equation to find out how much wood she needs to remove from the block to reach the weight limit.
Answers
Answer:
17.7
Step-by-step explanation:
62.7-45=
17.7
yeah sculpting bears are hard
There are 12 cats and 8 dogs
Answers
Answer:
isn't the answer 12/20
add the number of pets to make 20
then there are 12 cats
as a fraction
12/20
what is the five-number summary of this data set? 852,687,515,986,907,784,967,685,965
Min is 515
What is Q1, Q2,Q3?
Max is 986
Answers
Answer:
so q1 is 686 q2 is 852 q3 is 966
Step-by-step explanation:
hope this helps
can someone plssss help me with this. I WILL MARK BRAINLIEST
Answers
Answer:
5 payments
Step-by-step explanation:
First we add up the prices for the lunches and the movies :)
3 x 5 = 15
15 + 9.5 = 24.5
Second we subtract the 24.5 from the 35 :)
35 - 24.50 = 10.5
Now we divide the price of the cd player by the 10.50 to get the total number of payments :)
50/10.5 = 5
Finally to check it one more time, we multiply the 10.5 by 5 and if it equals 50 or over, it is correct!! :D
10.5 x 5 = 52.5!!!
You did it!
Your correct answer is 5 payments!!
Have a great day!!!
Please rate and mark brainliest!!
Explanation:
35+5=40 (starting cash)
40-24.5=15.5 (week 1)
15.5+35-24.5=26 (week 2)
26+35-24.5=36.5 (week 3)
36.5+35-24.5= 47 (week 4)
47+35-24.5=57.5 (week 5)