can someone please help? :((
if you want another 50 points or more you could maybe help with one of the previous unanswered questions on my profile
Answers
Just find the vertex and then compare with graph
#a
y=2x²-8y=2(x-0)²-8Parabola opening upwards
Vertex at (0,-8)Graph 3
#2
y=(x+3)²+0Vertex at (-3,0)
Graph IV
#3
y=-2(x-4)²+8Parabola opening downwards as a is -ve
Graph I
#4
One graph is left
Graph IiAnswer:
a) graph iii)
b) graph iv)
c) graph i)
d) graph ii)
Step-by-step explanation:
Vertex form of a quadratic equation: [tex]y = a(x - h)^2 + k[/tex]
where [tex](h, k)[/tex] is the vertex (turning point)
First, determine the vertices of the parabolas by inspection of the graphs:
Graph i) → vertex = (4, 8)Graph ii) → vertex = (3, -8)Graph iii) → vertex = (0, -8)Graph iv) → vertex = (-3, 0)Next, write each given equation in vertex form and compare to the vertices above.
[tex]\textsf{a)}\quad y=2x^2-8[/tex]
[tex]\textsf{Vertex form}: \quad y=2(x-0)^2-8[/tex]
⇒ Vertex = (0, -8)
Therefore, graph iii)
[tex]\textsf{b)} \quad y=(x+3)^2[/tex]
[tex]\textsf{Vertex form}: \quad y=(x+3)^2+0[/tex]
⇒ Vertex = (-3, 0)
Therefore, graph iv)
[tex]\textsf{c)} \quad y=-2|x-4|^2+8[/tex]
[tex]\textsf{Vertex form}: \quad y=-2|x-4|^2+8[/tex]
⇒ Vertex = (4, 8)
Therefore, graph i)
[tex]\textsf{d)} \quad y=(x-3)^2-8[/tex]
[tex]\textsf{Vertex form}: \quad y=(x-3)^2-8[/tex]
⇒ Vertex = (3, -8)
Therefore, graph ii)
Related Questions
WHICH ANIMALS IS FOUND IN THE TAIGA FOREST
Answers
Answer:
1.) foxes
2.) lynxes
3.) bears
4.) minks
5.) squirrels
Step-by-step explanation: hope this helps ^^ pls mark me brainliest
A radio station has a broadcast area in the shape of a circle with equation x2+ y2=5,625, where the constant represents square miles.
A.
B.
C.
Highlight answers + work shown pls
I'll give brainliest
Answers
Or
If decimal : 17,671.46 square mile
Any doubts
Explaining in pic
Find the value of x. Round to the nearest degree.
Answers
Answer:
x = 39°Step-by-step explanation:
The opposing side and the hypotenuse for the angle are given.
Remember, when the opposing side and the hypotenuse are given, take the cos ratio.
cosx = 7/9x = cos⁻¹ (7/9)x = 38.9424413°x = 39°Use formula A=LW to find the length of a rectangle when the width is 35 ft and the area is 1,750 sq ft
Answers
Answer:
the length of the rectangle is 50 ft
Step-by-step explanation:
A-LW
1,750=L(35)
divide both sides by 35
L= 50
When randomly choosing two coins from a cup of coins that contains a penny, nickel, a dime, and a quarter, what is the probability of choosing a penny and a nickel?
Answers
the least common multiple of 9 and 6 is 54
Answers
Answer:
18
Step-by-step explanation:
The multiples of 9 are 9,18,27,36,45,54,63,...
The multiples of 6 are 6,12,18,24,30,36,42,...
help please I realy nead help
Answers
Answer:
B) 77.5 square feet
Step-by-step explanation:
cut shape into rectangle and triangle
area of rectangle = x*y
area of rectangle = 5*13
area of rectangle = 65
area of triangle = (z-x)*(y-w)/2
area of triangle = 5*3/2
area of triangle = 7.5
Total area = 65 + 7.5
Total area = 77.5, B)
Answer:
77.5
Step-by-step explanation:
Cut the figure into a triangle and a rectangle
XxY=65
Z-x=5
Y-W=5
5x5=25
25/2=13.5
65+35.5=77.5
Which distribution has the greatest spread?
A. Mean: 13.7 & Standard Deviation: 3.1
B. Mean: 423.6 & Standard Deviation: 1.3
C. Mean: 38.4 & Standard Deviation: 7.2
D. Mean: 231.4 & Standard Deviation: 5.5
Answers
Answer:
C. Distribution 3
Step-by-step explanation:
The more spread out a data distribution is, the greater its standard deviation.
one ounce of gold can be purchased for $1,195.80.one ounce of silver can be purshased for $16.08.what is the difference between the cost of 5 ounces of gold and 5 ounces of silver?
Answers
Answer:
Step-by-step explanation:
Remark
This is a proportion question a proportion is 2 equal ratios equated to each othe. If three parts are known the 4 can be found.
Givens
1 oz silver costs 16.08
1 oz Gold costs 1195.80
Silver
16.08/1 = x / 5 Multiply both sides by 5
5*16.08 = 1*x
80.4 =x
Gold
1195.80/1 = x/5
5 * 1195 = 1 * x
5979 = x
Answer
Difference = Cost of Gold - Cost of Silver
Difference = 5979 - 80.4
Answer Difference = 5898.60A line has a slope of min Which ordered pairs could be
points on a parallel line? Select two options.
D (-8, 8) and (2, 2)
0 (-5, -1) and (0, 2)
(-3, 6) and (6, -9)
D (-2,1) and (3, -2)
D (0, 2) and (5, 5)
Answers
Answer:
-2,1 and 3,-2 also -5,-1 and 0,2
Step-by-step explanation:
helpp pppppppppp ppp
Answers
Step-by-step explanation:
use the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
and therefore also
sin(A)/a = sin(B)/b = sin(C)/c
where the lines and corresponding angles are always opposite of each other.
and remember, the sum of all angles in a triangle is always 180°.
and sin(x) = sin(180-x).
so, we have
sin(32)/43 = sin(B)/53
sin(B) = 53×sin(32)/43 = 0.653156302...
B = 40.77999844...° ≈ 41°
C = 180 - 32 - 40.77999844... = 107.2200016...° ≈ 107°
43/sin(32) = c/sin(107.2200016...)
c = 43×sin(107.2200016...)/sin(32) = 77.507143... ft
≈ 78 ft
B' = 180 - B = 139.2200016...° ≈ 139°
C' = 180 - 32 - 139.2200016... = 8.779998438...° ≈ 9°
43/sin(32) = c'/sin(8.779998438...)
c' = 43×sin(8.779998438...)/sin(32) = 12.38595519... ft
≈ 12 ft
Mike paid $492.60 for 4 new tires for his truck. If each tire cost the same, What was the cost for 1 tire?
Can someone help me with it, plase? :(
Answers
Answer:
123.15
Step-by-step explanation:
47. Racing cars driven by Chris and Kelly are side by side at the start of a race. The table shows the velocities of each car (in miles per hour) during the first ten seconds of the race. Use the Midpoint Rule to estimate how much farther Kelly travels than Chris does during the first ten seconds.
Answers
Use the Midpoint Rule Kelly travels 12m/s more than Chris does during the first ten seconds.
What is the midpoint rule?The midpoint rule is the rule that follows the median of a set of values which is the middle value when the values are written in numerical order.
From the table above, the midpoint for the velocity of Chris car = 81, while the midpoint for the velocity of Kelly's car = 93
Therefore, the Kelly's car travelled 93-81 = 12 m/s farther than Chris does during the first ten seconds.
Learn more about median here:
https://brainly.com/question/14532771
#SPJ1
Explain how you would create and use a spinner to simulate the probability of an event with the following probabilities:
Percent chance: 20% green, ¼ blue, ⅖ yellow, and 15% orange
Answers
To simulate the probability in a spinner divide the spinner into colors depending on the probability each color represents.
What does the word "probability" mean?This word refers to the likelihood for an event to occur. Moreover, it is often expressed either as a fraction, a percentage, or a number.
How to create a spinner to simulate probability?In this case, each of the colors represents a probability:
Green 20%Blue 1/4 or 25%Yellow 2/5 oe 40%Orange 15%Due to this, the best is to divide the spinner by colors and considering the percentanges of each color. For example 40% of the spinner should be red, while 15% should be orange.
Learn more about spinner in: https://brainly.com/question/24280611
#SPJ1
3. In a sample of 250 high school seniors,
5 stated that they have red hair. What is
the sample proportion?
Answer choices:
0.02
0.05
0.12
Answers
Answer:
0.02 (the first option)
Step-by-step explanation:
This is because a proportion means there is division going on. If 5 out of the 250 students have red hair, this creates a fraction of [tex]\frac{5}{250}[/tex] and when you divide this out: 5 ÷ 250, you get 0.02
Please help!! What do I do
Answers
Answer:
a(5) = 1.080
a(10) = 0.393
a(20) = 0.122
Step-by-step explanation:
Take the derivative of velocity v(t) -> acceleration a(t)
v(t) -> a(t)
Quotient Rule: [tex]\frac{u*dv-du*v}{u^2}[/tex]
[tex]120*\frac{x}{5x+13}[/tex]
Make u= 5x+13 and v=x
[tex]120*\frac{x'*(5x+13)-x*(5x+13)'}{(5x+13)^2}\\\\120*\frac{1*(5x+13)-x*(5)}{(5x+13)^2}\\\\120*\frac{(5x+13)-5x}{(5x+13)^2}\\120*\frac{13}{(5x+13)^2} \\\\a(t)=\frac{1560}{(5x+13)^2}[/tex]
Now Subsitute your a(5) , a(10) , a(20). Also, round to 3 decimal place.
a(5) = 1.08033241 = 1.080
a(10) = 0.3930461073 = 0.393
a(20) = 0.122170826 = 0.122
Answer:
(a) 1.080 ft/s²
(b) 0.393 ft/s²
(c) 0.122 ft/s²
Step-by-step explanation:
Acceleration is the derivative of velocity. You are being asked to differentiate the given function and evalutate the derivative at three different times. The function is a rational function, so the formula for the derivative of a ratio is applicable.
(u/v)' = (vu' -uv')/v²
__
For the given velocity function, the accleration is ...
v(t) = (120t)/(5t +13)
a(t) = v'(t) = ((5t +13)(120) -(120t)(5))/(5t +13)² = 1560/(5t +13)²
(a)At t=5, the acceleration is ...
a(5) = 1560/(5·5 +13)² = 1560/1444 ≈ 1.080 . . . ft/s²
(b)At t=10, the acceleration is ...
a(10) = 1560/(5·10 +13)² = 1560/3969 ≈ 0.393 . . . ft/s²
(c)At t=20, the acceleration is ...
a(20) = 1560/(5·20 +13)² = 1560/12729 ≈ 0.122 . . . ft/s²
_____
Additional comment
Many graphing calculators are capable of finding the numerical value of the derivative of a function.
Write in index form 12 × 12 × 12 × 12 × 12 × 12 × 12 × 12
Answers
Answer:
[tex]\sf{12^{8} }[/tex]
Step-by-step explanation:
12 × 12 × 12 × 12 × 12 × 12 × 12 × 12 = [tex]\sf{12^{8} }[/tex]
[tex]\sf{12^{8} }[/tex] = 429,981,696
An easy way to think of this is that there are 12 is being multiplied by itselg 8 times (there are 8 12s). Similar to how squared numbers work...
Hope this helps! If you need further explanation, let me know!
- profparis
Answer:
12⁸
Step-by-step explanation:
Index forms are used to show how many times a number or variable has been multiplied by itself.
Here, 12 is being multiplied by itself eight (8) times.
The index form would be:
12⁸
Hope this helps!
Write a propotion that can be used to convert 50 meters into kilometers. Then solve
Answers
Answer:
0.5km
[tex]1km = 1000m \\ x = 50m \\ \\ 50m \times 1km = 1000 \times x \\ x = 0.5km[/tex]
I need help with this please.
Answers
Answer:
1782 cm²
Step-by-step explanation:
the required surface area =1782
units= cm²
find x.
please help whoever egts right gets brainliest
Answers
Answer:24
Step-by-step explanation:
a^2+b^2=c^2
c^2 has to be 26 because it is the hypotinuce. 10 could take the place of a^2 or b^2, it dose not matter.
a^2+10^2=26^2
a^2+100=676
subtract 100 from both sides
a^2=576
sqrt576
a=24
x=a
x=24
Pls help with this ;w;
Answers
Answer:
79-83= 2
84-88 =4
89-93= 5
94-98=2
Step-by-step explanation:
put in order then you can just count them
A random survey found that 6
prefer blueberry candies from
of the 27 people surveyed prefer blueberry candies. Based on those results, about how many people
a population of 108 people?
A. 24
B. 18
C. 30
D. 12
Answers
Answer:
A
Step-by-step explanation:
108/24 finds you the ratio from people surveyed to population
gets you 1:4
so for the 6 who prefer candies you sub it it
6:(4*6)
6:24
so its 24 = A :)
please help!
elect the correct answer.
Which statement is true?
A.
The function is an odd function because its graph is symmetric about the y-axis.
B.
The function is an even function because .
C.
The function is an odd function because .
D.
The function is an even function because its graph is symmetric about the origin.
Answers
The true statement is The function f(x)= tan(x) is an odd function because f(-x) = -f(x).
What is odd function?When x is substituted with -x, the odd functions are those that return their negative inverse. When f(-x) = -f(x), it follows that f(x) is an odd function (x). The trigonometric sine function, tangent function, cosecant function, etc. are a few examples of odd functions.
If f(x) = f(x), then the function is odd for all x. An odd function's graph will be symmetrical in all directions around the origin. Consider how unusual f(x) = x³ is. In other words, the function on one side of the x-axis is graphically symmetric about the origin or sign inverted with respect to the other side.
As, we know for the
even function: f(-x) = f(x)
odd function: f(-x)= -f(x)
and, using Trigonometry
tan x = sin x / cos x
Then,
f(-x) = sin (-x) / cos (-x)
= -sin (x) / cos (x)
= -tan (x)
= -f(x)
Thus, tan (x) is an odd function.
Hence, the function f(x)= tan(x) is an odd function because f(-x) = -f(x).
Learn more about odd function here:
https://brainly.com/question/20049729
#SPJ1
Help me pls lol
I don’t understand
Answers
K = (5,1)
L = (10,2)
[tex]J'= (-5,-6)[/tex]
[tex]K'=(-5,-1)[/tex]
[tex]L'=(-10,-2)[/tex]
See graph below.
[tex]Hope[/tex] [tex]this[/tex] [tex]helps![/tex] [tex]Have[/tex] [tex]a[/tex] [tex]good[/tex] [tex]day![/tex] [tex]:)[/tex]
HELPPP PLS IM GIVING 60 POINTSSSSS IT'S EASYYYYYY 6TH GRADE MATHH
Answers
The surface area of rectangular prism B is 856 square centimeters
Prism B’s surface area is 4 times greater then prism A’s surface area
Three companies offer swim lessons by the hour. Their information is shown in the tables below.
Which company has a signup fee of $11 and a cost per hour of $6
Answers
The answer is B because 6*2 = 12 + 11 = 23 !
Convert the decimal 3.88888… to a fraction.
Answers
Answer:
The answer is 35/9
Step-by-step explanation:
PLEASE help me violate brainly communityHere are the chorus datz: {0, 10, 10, 20, 20, 20, 20,30, 30, 40) What is the mean?
Answers
Answer:
7 is 20
8 is 40
Step-by-step explanation:
Mean is the total of all the numbers divided by the amount of numbers
7. 20
8. 40
Add them all up divide by the total amount of them
Find the area of the shape based on the provided measurements
Answers
Answer:
375 units²
Step-by-step explanation:
A = bh/2
A = (75)(10)/2
A = 750/2
A = 375
HELPPP Pleaseeee
Last year, Dan opened an investment account with $6600. At the end of the year, the amount in the account had increased by 26.5%. How much is this increase
in dollars? How much money was in his account at the end of last year?
Answers
Answer:
1,749
8,349
Step-by-step explanation:
We can multiply 6,600 by 1.265 to get 8,349. To get the percentage all we have to do is multiply 6,600 by .265 and get 1,749.
Hope this helps