Mathematics College

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

Answer 1

Just find the vertex and then compare with graph

y=2x²-8y=2(x-0)²-8

Parabola opening upwards

Vertex at (0,-8)

Graph 3

y=(x+3)²+0

Vertex at (-3,0)

Graph IV

y=-2(x-4)²+8

Parabola opening downwards as a is -ve

Graph I

One graph is left

Graph Ii

Answer 2

Answer:

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

Here 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

Convert the decimal 3.88888… to a fraction.

Answers

Answer:

The answer is 35/9

Step-by-step explanation:

PLEASE help me violate brainly community

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

penny 25% nickel 75%

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

A 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:

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

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

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!

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

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

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:

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 :)

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

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

the least common multiple of 9 and 6 is 54

Answers

Answer:

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,...

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]

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

The answer is : 5625 pi square miles
Or
If decimal : 17,671.46 square mile

Any doubts

Explaining in pic

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

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 = 5898.60

Help me pls lol
I don’t understand

Answers

J = (5,6)
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]

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

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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:

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

HELPPP PLS IM GIVING 60 POINTSSSSS IT'S EASYYYYYY 6TH GRADE MATHH

Answers

Robert is wrong. The surface area of rectangular prism A is 214 square centimeters

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

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

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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 !

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

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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.

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

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.

I need help with this please.

Answers

Answer:

1782 cm²

Step-by-step explanation:

the required surface area =1782

units= cm²

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°

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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

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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