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)
[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
If 24% of the Skittles in the bag are red, what percentage of the Skittles are not red?
Answer:
76%
Step-by-step explanation:
Given:
If 24% of the Skittles in the bag are red, what percentage of the Skittles are not red?
Solve:
Percent - Out of 100
100 - 24 = 76
Hence, 76% of the skittles are not red.
~~Lenvy~~
Answer:
76% are not red
Formula:
(Total Skittle %)-(Red Skittle %)=(Non-Red Skittle %)
Work:
100%-24%=76%
A clock was reading the time accurately on Friday at noon. On Monday at 6pm the clock was running late by 468 seconds. On average, how many seconds did the clock skip every 30 minutes?
3
4
5
6
The number of times that the clock was skipping every 30 minutes from Friday noon to Monday 6 pm is; 3 seconds
What is the clock skip reading?We know that from time conversion;
1 day = 24 hours
1 hour = 60 minutes = 2 × (30 minutes)
1 day = 24 hours × 2 × (30 minutes)
1 day = 48 × (30 minutes)
Thus, there are 48 times of 30-minutes in a day. However on Friday, we start counting at noon, which is half of the day.
Thus, on Monday, the mark is only up to 6 pm, which is three-fourths of the day. Thus;
Friday = 48 × (3/4) = 24
Saturday = 48
Sunday = 48
Monday = 48 × (3/4) = 36
Total times = 24 + 48 + 48 + 36 = 156
Thus, it means that there was 156 times of 30-minutes that have passed during the time period.
x = 468 seconds ÷ 156
x = 3 seconds
Therefore, the clock was skipping 3 seconds every 30 minutes from Friday noon to Monday 6 pm.
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Solve: |x+2|=3
Can someone explain how to do this
Hey there!
ORIGINAL EQUATION:
|x + 2| = 3
TRANSLATE:
x + 2 = 3 or x + 2 = -3
SOLVING for: x + 2 = 3
SUBTRACT 2 to BOTH SIDES
x + 2 - 2 = 3 - 2
CANCEL out: 2 - 2 because it give you 1
KEEP: 3 - 2 because help solve for the current x-value
NEW EQUATION: x = 3 - 2
SIMPLIFY IT!
x = 1
Thus, your answer is: x = 2
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
SOLVING for: x + 2 = -3
SUBTRACT 2 to BOTH SIDES
x + 2 - 2 = -3 - 2
CANCEL out: 2 - 2 because it give you 0
KEEP: -3 - 2 because it help solve for the current x-value
NEW EQUATION: x = -3 - 2
SIMPLIFY IT!
x = -5
Thus, your answer is: x = -5
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
Therefore, your answer is: x = 1 or x = -5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
give me list of letter arrangement and number arangement
Answer:
what the heck question is this
What is the mean of the set of data below?
Answer:
Mean = 8
Step-by-step explanation:
add all the numbers
2+3+5+6+8+11+11+12+14 = 72
then divide by how many number there are which is 9
72 / 9 = 8
Write the given expression in terms of x and y only sin(tan^-1(x)+tan^-1(y)
Answer:
Step-by-step explanation:
Let a = tan⁻¹(x), so tan(a) = x,
[tex]\sin(a)=\frac{x}{\sqrt{1+x^2}}, \cos(a)=\frac{1}{\sqrt{1+x^2}},[/tex]
Let b = tan⁻¹(y), so tan(b) = y,
[tex]\sin(b)=\frac{y}{\sqrt{1+y^2}}, \cos(b)=\frac{1}{\sqrt{1+y^2}},[/tex]
sin( tan⁻¹(x) + tan⁻¹(y)) = sin(a + b)
= sin(a) cos(b) + cos(a)sin(b)
= [tex]\frac{x}{\sqrt{1+x^2}}\times\frac{1}{\sqrt{1+y^2}}+ \frac{y}{\sqrt{1+y^2}}\times\frac{1}{\sqrt{1+x^2}}[/tex]
[tex]=\frac{x+y}{\sqrt{(1+x^2)(1+y^2)}}[/tex]
Part 014 The credit card with the transactions described in the popup below uses the average daily balance method to calculate interest. The monthly interest rate is 1.4% of the average daily balance. Calculate parts a-d using the statement in the popup Click the icon to view the credit card statement a Find the average daily balance for the billing period. Round to the nearest cent. The average daily balance for the billing period is $ (Round to the nearest cent as needed.)
The average daily balance of the transactions given for the billing period will be $1798.
How to calculate the average daily balance?From the complete question, the average daily balance is completed below:
Billing date = 2645.92 × 5 = $13229.6
Repayment on June 6 = $1345.92 × 2 = $2691.84
June 8 = $1381.85
June 9: = $1518.53 × 8 = $12148.24
Gas = $1560.90
Groceries = $1687.37 × 10 = $16873.70
Clothing = $1902.49 × 4 = $7609.96
Total = $53935.19
Therefore, the average daily balance will be:
= $53935 / 30
= $1798
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Kala drove 603 miles in 9 hours at the same rate how many miles would she drive in 12 hours
Answer:
804
Step-by-step explanation:
603/9 x 12
67 x 12
804
Answer:
804 miles in 12 hours
Step-by-step explanation:
603/9 which = 67
67*12 which equal 804
don't forget the unit (mph)
Consider the polynomial function g(x) = 8x5 + ax4 + 5x + 20, where a is an unknown real number. If (x+4) is a factor of g(x), what is the value of a?
[tex]g(x) =8x^5 + ax^4 +5x +20 \\\\\text{If}~ x +4 ~ \text{is a factor of g(x) then,}~ \\\\g(-4)=0\\\\\implies 8(-4)^5 +a(-4)^4+5(-4) +20 = 0\\\\\implies 256a -8192 = 0\\\\\implies a = \dfrac{8192}{256} = 32[/tex]
Solve and verify your answer.
A sludge pool is filled by two inlet pipes. One pipe can fill the pool in 11 days and the other pipe can fill it in 24 days. However, if no
sewage is added, waste removal will empty the pool in 32 days. How long (in days) will it take the two inlet pipes to fill an empty pool
Answer:
' =9 93/107 days
Step-by-step explanation:
1/11+1/24
one day =35/264
35/264 -1/32
=107/ 1056- fraction of rem in a day
1 day= 107/1056
x = 1
=107/1056x=1
x=1÷107/1056
1056÷107
=9 93/107 days
When a system contains the equations of two parabolas, there can only be one solution.
True or False
Find the midpoint of AB A(-1,2) B(0,-14)
Answer:
given ,
two points A ( -1 , 2 ) and B ( 0 , -14 )
to find - coordinates of midpoint of A and B______________________________________
[tex]\fbox\pink{Solution -}[/tex]
let the midpoint be P ( x , y )
using midpoint formula ,
[tex]P(x,y) = ( \frac{ x_{1} + x_{2} }{2} , \frac{ y_{1} + y_{2} }{2} ) \\ \\ P(x,y) = ( \frac{ - 1 + 0}{2} , \frac{2 + ( - 14)}{2} ) \\ \\ (x,y) = ( \frac{ - 1}{2} , \frac{ - 12}{2} ) \\ \\ x = \frac{ - 1}{2} \\ \\ y = \frac{ - 12}{2} => - 6[/tex]
thus ,
the coordinates of the midpoint are
[tex]\red{P( \frac{ - 1}{2} , - 6)} \\ \\ or \\ \\ \red{P( -0.5 , - 6 )} [/tex]
hope helpful :D
Answer:
Step-by-step explanation:
A(-1,2) x₁ = -1 & y₁ = 2
B(0 ,-14) x₂ = 0 & y₂ = -14
[tex]\text{ \sf Midpoint = $\left(\dfrac{x_{1}+x_{2}}{2} ,\dfrac{y_{1}+y_{2}}{2}\right)$ }[/tex]
[tex]= \left (\dfrac{-1+0}{2} ,\dfrac{2+[-14]}{2} \right) \\\\\\=\left(\dfrac{-1}{2}, \dfrac{-12}{2}\right)\\\\\\=\left( -0.5 , -6 \right)[/tex]
At a competition of 8 teams, the order of the first three is recorded, How Many different outcomes does the competition have
Answer:
366 possible outcomes
Step-by-step explanation:
just took a test on edge
When asked to factor the trinomial 4x^2 + 12x + 9, a student gives the answer (2x - 3)(2x - 3). What is one thing wrong with this answer?
A. There is nothing wrong with the answer
B. The minus signs should be plus signs
C. 4 is also a factor of this trinomial
D. The factors are not simplified
The one thing wrong with the answer is option B. The minus signs should be plus signs.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Given quadratic is 4x²+12x+9
Taking common 4
4(x²+3x) + 9
=4(x² + 3x + 9/4) + 9 - 9
=4(x + 3/2)²
=(2x+3)²
=(2x+3)(2x+3)
So, the minus sign must be a plus sign. option B is correct.
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The volume of a sphere whose diameter is 18 centimeters is _ cubic centimeters. If it’s diameter we’re reduced by half, it’s volume would be _ of its original volume
First Part
Given that
[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]
We have that
[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi (\frac{Diameter}{2})^{3} = \frac{4}{3} \pi 9^{3} = 972\pi cm^{3} \approx 3053.63 cm^{3}[/tex]
Second Part
Given that
[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]
If the Diameter were reduced by half we have that
[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi (\frac{r}{2}) ^{3} = \frac{\frac{4}{3} \pi r^{3}}{8}[/tex]
This shows that the volume would be [tex]\frac{1}{8}[/tex] of its original volume
Step-by-step explanation:First Part
Gather Information
[tex]Diameter = 18cm[/tex]
[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]
Calculate Radius from Diameter
[tex]Radius = \frac{Diameter}{2} = \frac{18}{2} = 9[/tex]
Use the Radius on the Volume formula
[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi 9^{3}[/tex]
Before starting any calculation, we try to simplify everything we can by expanding the exponent and then factoring one of the 9s
[tex]Volume = \frac{4}{3} \pi 9^{3} = \frac{4}{3} \pi 9 * 9 * 9 = \frac{4}{3} \pi 9 * 9 * 3 * 3[/tex]
We can see now that one of the 3s can be already divided by the 3 in the denominator
[tex]Volume = \frac{4}{3} \pi 9 * 9 * 3 * 3 = 4 \pi 9 * 9 * 3[/tex]
Finally, since we can't simplify anymore we just calculate it's volume
[tex]Volume = 4 \pi 9 * 9 * 3 = 12 \pi * 9 * 9 = 12 * 81 \pi = 972 \pi cm^{3}[/tex]
[tex]Volume \approx 3053.63 cm^{3}[/tex]
Second Part
Understanding how the Diameter reduced by half would change the Radius
[tex]Radius =\frac{Diameter}{2}\\\\If \\\\Diameter = \frac{Diameter}{2}\\\\Then\\\\Radius = \frac{\frac{Diameter}{2} }{2} = \frac{\frac{Diameter}{2}}{\frac{2}{1}} = \frac{Diameter}{2} * \frac{1}{2} = \frac{Diameter}{4}[/tex]
Understanding how the Radius now changes the Volume
[tex]Volume = \frac{4}{3}\pi r^{3}[/tex]
With the original Diameter, we have that
[tex]Volume = \frac{4}{3}\pi (\frac{Diameter}{2}) ^{3} = \frac{4}{3}\pi \frac{Diameter^{3}}{2^{3}}\\\\ = \frac{4}{3}\pi \frac{Diameter^{3}}{2 * 2 * 2} = \frac{4}{3}\pi \frac{Diameter^{3}}{8}\\\\[/tex]
If the Diameter were reduced by half, we have that
[tex]Volume = \frac{4}{3}\pi (\frac{Diameter}{4}) ^{3} = \frac{4}{3}\pi \frac{Diameter^{3}}{4^{3}}\\\\ = \frac{4}{3}\pi \frac{Diameter^{3}}{4 * 4 * 4} = \frac{4}{3}\pi \frac{Diameter^{3}}{4 * 2 * 2 * 4} = \frac{4}{3}\pi \frac{Diameter^{3}}{8 * 8} = \frac{\frac{4}{3}\pi\frac{Diameter^{3}}{8}}{8}[/tex]
But we can see that the numerator is exactly the original Volume!
This shows us that the Volume would be [tex]\frac{1}{8}[/tex] of the original Volume if the Diameter were reduced by half.
Name:
24. Jason wants to walk the shortest distance to get from the parking lot to the beach.
Refreshment
Stand
40 m
Beach
30 m
Parking
Lot
Answer:
Beach parking lot is the right answer.
Step-by-step explanation:
the beach parking is near the beach refreshment stand.
pls mark branliest.
Choose the correct graph of the function y=2√x.
Answer:
[D]
Step-by-step explanation:
Graph using the end point and a few selected points.
x y
0 0
1 2
2 2.83
Graph also below:
[RevyBreeze]
Determine whether the given value is a solution of the equation.
Answer:
Is a solution
Step-by-step explanation:
Just do the division [tex]\frac{52}{13}[/tex]
Two times the quantity of a number increased by one is the same as four more than the same number. Find the Number.
The unknown number which is two times the quantity of a number increased by one is the same as four more than the same number be is 3
How to write and solve equation?let
x = unknown number
2x + 1 = 4 + x
collect like terms2x - x = 4 - 1
solve
x = 3
Therefore, the unknown number is 3
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what is the area of the regular hexagon
Answer:
720
Step-by-step explanation:
n*180
n
the answer is 720
What is the area of this trapezoid? units 2
area of trapezoid: 153 units²
Here given information:
height : 9side 1 : 10side 2 : 7 + 10 + 7 = 24trapezium area = [tex]\sf \frac{1}{2}[/tex] * ( side 1 + side 2 ) * height
[tex]\hookrightarrow \sf \dfrac{1}{2} * ( 10 + 24) * 9[/tex]
[tex]\hookrightarrow \sf 153 \ units^2[/tex]
What is the area of the blue shaded region in the figure?
Answer:
B. 90 in²
Area of white triangle
3×4/2
12/2 = 6 in²
Area of blue triangle
12×16/2
192/2= 96in²
96in² - 6in² = 90 in²
In this figure, the coordinates of the vertices of quadrilateral PARK are (5, 5), (5, 1), (-2, 1), and (0, 5) respectively. The corresponding coordinates of the vertices in the image are (-10, -10), (-10, -2), (4, -2), and (0,-10). Which of the following statements is true? A. Quadrilateral P’A’R’K’ is the image of quadrilateral PARK after a rotation and a dilation. B. Quadrilateral P’A’R’K’ is the image of quadrilateral PARK after a reflection and a dilation. C. Quadrilateral P’A’R’K’ is the image of quadrilateral PARK after a translation and a reflection. D. Quadrilateral P’A’R’K’ is the image of quadrilateral PARK after a rotation and a translation.
Answer:
B
Step-by-step explanation:
Answer:
The other personis wrong its answer A: a rotation and a dilation.
Step-by-step explanation:
I mean its kind of self explanatory but i hope it helps.
i got a 100% on my quiz with this question btw.
The quotient of seven and a number added to ten
Approximate the temperature of the water after 6 intervals
candy that costs 31 cents per pound is mixed with candy that costs 46 cents per pound to obtain 50 pounds of candy that costs 40 cents per pound. How many pounds of each of the two types of candy are in the mix?
Answer:
20 lb of 31 cent candy, 30 lb of 46 cent candy
Step-by-step explanation:
sorry don't have one
here is a smiley face for you
:D
The amount of each type of candy (in pounds) that are mixed for the considered condition is: 20 pounds of first type of candy and 30 pounds of second type of candy.
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For this case, we can assume the separate weights of each type of candies to be represented by variables.
Let we have:
x = weight (in pounds) of first type of candy whose cost is 31 cents per pound.y = weight (in pounds) of second type of candy whose cost is 46 cents per pound.x pounds of first type of candy is mixed with y pounds of second candy.
The weight of the mixture = x + y = 50 pounds
The cost of the mixture = 40 cents per pound = [tex]40 \times 50 = 2000[/tex] cents
Cost of the mixture = cost of x pounds of first candy+ cost of y pounds of second candy = [tex]31x + 46y[/tex]
Thus, we get [tex]31x + 46y =2000[/tex]
Therefore, we got a system of two linear equations as:
[tex]x +y = 50\\31x + 46y =2000[/tex]
From first equation, we get:
[tex]x = 50 -y[/tex]
Substituting this value in second equation, we get:
[tex]31(50-y) + 46y =2000\\1550 + 15y = 2000\\15y = 450\\\\y = 450/15 = 30[/tex]
Putting this value of y in equation for x, we get:
[tex]x = 50-y = 50-30 = 20[/tex]
Thus, the amount of each type of candy (in pounds) that are mixed for the considered condition is: 20 pounds of first type of candy and 30 pounds of second type of candy.
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In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Eli sets up a website where players can buy
and sell these costumes online. Information about the number of people who visited
the website and the number of costumes purchased in a single day is listed below.
314 visitors purchased no costume.
68 visitors purchased
exactly one costume.
17 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase
exactly one costume as a fraction in simplest form.
Answer:
Submit Answer
attempt 2 out of
The probability that the next person will purchase exactly one costume is given by: 68/399
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
The total number of visitors to the website is 314 + 68 + 17 = 399.
Out of these 399 visitors, 68 purchased exactly one costume.
Therefore, the probability that the next person will purchase exactly one costume is given by:
68/399
This fraction cannot be simplified any further, so the final answer is:
68/399.
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Answer: the largest angle has a measure of _____ degrees.
Answer:
the largest Angle has a measure of 360 degrees
7 3/5 - 6 3/5
Pls help i can't do dis math
Step-by-step explanation:
[tex] = 7 \times \frac{3}{5} - 6 \times \frac{3}{5} \\ = \frac{7 \times 5 + 3}{5} - \frac{6 \times 5 + 3}{5} \\ = \frac{38}{5} - \frac{33}{5} \\ = \frac{38 - 33}{5} \\ = \frac{5}{5} [/tex]
Now convert into lowest term
[tex] \frac{1}{1} [/tex]
1/1 is the answer ....