PLEASE HELP I WILL GIVE BRAINLIEST

Answer:

The equation of a parabola is

[tex]x = \frac{1}{4(f - h)} (y - k) ^{2} + h[/tex]

Step-by-step explanation:

(h,k) is the vertex and (f,k) is the focus.

Thus, f = 1, k = −4.

The distance from the focus to the vertex is equal to the distance from the vertex to the directrix: f - h = h - 2.

Solving the system, we get h = 3/2, k = -4, f = 1.

The standard form is:

[tex]x = - \frac{y ^{2} }{2} - 4y - \frac{13}{2} [/tex]

The general form is:

[tex]2x + {y}^{2} + 8y + 13 = 0[/tex]

The vertex form is:

[tex]x = - \frac{(y + 4) ^{2} }{2} + \frac{3}{2} [/tex]

The axis of symmetry is the line perpendicular to the directrix that passes through the vertex and the focus: y = -4.

The focal length is the distance between the focus and the vertex: 1/2.

The focal parameter is the distance between the focus and the directrix: 1.

The latus rectum is parallel to the directrix and passes through the focus: x = 1.

The length of the latus rectum is four times the distance between the vertex and the focus: 2.

The eccentricity of a parabola is always 1.

The x-intercepts can be found by setting y = 0 in the equation and solving for x.

x-intercept:

[tex]( - \frac{13}{2} \: ,0)[/tex]

The y-intercepts can be found by setting x = 0 in the equation and solving for y.

y-intercepts:

[tex](0, - 4 - \sqrt{3)} [/tex]

[tex](0, - 4 + \sqrt{3)} [/tex]

since we know the diameter is 50, then its radius is half that or 25.

[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=25 \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (25)^3}{3}\implies V=\cfrac{62500\pi }{3} \\\\\\ V\approx 65449.85~cm^3 \end{array}[/tex]

The graph of the function g(x) is a quadratic equation

The possible equation of the function f(x) is f(x) = 2(x - 3)^2 + 3

From the question, we have:

g(x) = x^2 --- the equation of the graph

The function f(x) is in the first quadrant.

This means that the function g(x) is shifted right and up.

This is represented as:

f(x) = (x - h)^2 + k

When stretched, the function becomes

f(x) = a(x - h)^2 + k

Where:

a > 0

From the list of given options;

The equation that has the form f(x) = a(x - h)^2 + k is

f(x) = 2(x - 3)^2 + 3

Hence, the possible equation of the function f(x) is f(x) = 2(x - 3)^2 + 3

Read more about function transformation at:

https://brainly.com/question/17586310

Answer/Step-by-step explanation:

7x- 4 = -182

Step:

Add 4 to both sides

7x - 4 + 4 = -182 + 4

Simplify

7x = -178

Divide both sides by 7

7x/7 = -178/7

Simplify

x = -178/7

Decimal form = -25.4285714286

~lenvy~

Answer:

x = -178/7

Step-by-step explanation:

Given us that:

Which of the following shows the correct solution steps and solution to 7x- 4 = -182

Thus, the steps are:

Adding 4 to both sides

7x - 4 = -182

      +4       +4

------------------------

7x = -178

Divide both sides by 7

7x/7 = -178/x

Simplify

x = -178/7

Solution - x = -178/7

[RevyBreeze]

Answer:

$0.20

Step-by-step explanation:

3.95/20 = 0.1975

0.1975 would round up to 0.20

Answer:

$0.1975

Step-by-step explanation:

Do $3.95 divided by 20 so you can find the proportion of 1 ounce

Answer:

18.2%

Step-by-step explanation:

For this, you want to take the amount of 70 year old men that will die in the next 10 years and divide it by the total amount of men.

The table states "number out of 1,000 men" so this means there are 1000 total men in this study.

So:

182/1000 = 0.182 = 18.2%

Answer:

2/45

Step-by-step explanation:

The probability that a banana is picked for the first one is:

1/10

because there are 10 fruits and one of them is a banana,

Then, the second piece has to be a pear.

For this we have already picked one fruit out of the bag, which leaves 9 fruits in the bag.

There are 4 pears so the probability of picking a pear second is

4/9

To find the probability of a banana and then a pear, you want to multiply these values together

So:

1/10 x 4/9 = 4/90 = 2/45

So the probability is 2/45

Step-by-step explanation:

Hopefully this was helpful!

Using the median concept, it is found that the third quartile is of is of $1,052.

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.

In this problem, the ordered data-set is:

$379, $498, $619, $777, $895, $1,052, $1,256.

Hence, the median of $777 divides the data-set into two halfs:

Hence, the third quartile, which is the median of the second half, is of $1,052.

More can be learned about the median concept at https://brainly.com/question/25215461

Answer:

Yes it's correct

Step-by-step explanation:

90 + 40 = 130

180 - 130 = 50

Answer:

25 dollars divided by 1.25 dollars gives a total of 20 tickets Aaron can buy

Answer:

C. Reflection, translation

Step-by-step explanation:

If we compare Figure A to Figure B, you might notice that they mirror each other. This means that Figure A was reflected. Now, if we take a look at Figure B and Figure C, you should see that both figures are the exact same shape, size, and facing the same direction. The only thing that changed was the location. So, this means that Figure B was translated.

I hope this helps! Have a lovely day!! :)

Answer: 19

Step-by-step explanation:

As per the model created by Jack; f(x) determines the area and x represents length so f(3) = 9+9+1

Therefore, f(3) = 19

Answer:

Not entirely sure about this because it was grabbed from someone else

There are 210 ways to win 1st place

There are 209 ways to win 2nd place

There are 208 ways to win 3rd place

Every time an award is won, a spot if taken, therefore one person is eliminated from possibly taking that spot.

Hope that makes sense :)

The total number of ways of contestants can win first, second, and third prizes will be 9,129,120.

A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.

The number of contestants is 210.

The number of ways of contestants who won the first prize will be given as,

⇒ ²¹⁰C₁

⇒ 210

The number of ways of contestants who won the second prize will be given as,

⇒ ²⁰⁹C₁

⇒ 209

The number of ways of contestants who won the third prize will be given as,

⇒ ²⁰⁸C₁

⇒ 208

Then the total number of ways of contestants can win first, second, and third prizes will be

⇒ 210 x 209 x 208

⇒ 9,129,120

The total number of ways of contestants can win first, second, and third prizes will be 9,129,120.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

#SPJ2

one shell stores CDs:6422/26

246

Answer:

what is your question??????

Step-by-step explanation:

Answer:

he left 15 % of his bill as a tip

Step-by-step explanation:

7.5/50 x 100

0.15 x 100

15

Percentage

Hello!

This equation is written in Point-Slope Form (y-y₁=m(x-x₁)

Where

y₁=y-coordinate of the point

m=slope

x₁=x-coordinate of the point

In this case, the slope is

[tex]\boxed{\boxed{\bold{\frac{1}{2}}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

Answer:

C) 1/2

Step-by-step explanation:

woof woof

Answer:

Alden, perpendicular, Elm, parallel

Step-by-step explanation:

Answer:

800ml

Step-by-step explanation:

solution A= 2% alcohol

solution B=7% alcohol

1200ml=1.2L

1200ml=1200cm^3

X= solution B

solution A + solution B=(1200+x)cm^3

% alcohol= amount of alcohol/total solution(AorB)×100

☆in 1200ml of solution A there's

0.02x1200

2x12

=24ml of alcohol (in 1200ml of solution A)

0.07x X

=0.07Xml of alcohol (in some ml of solution B)

(24+0.07X)ml of alcohol in = solution A and solution B

solution A + solution B= 1200+X

0.04 (1200+X)=24+0.07X

48+0.04X=24+0.07X

48-24=0.07X-0.04X

24=0.03X

X=800ml

Answer:

i do not understand the questions

Step-by-step explanation:

Answer: Tenths place.

Step-by-step explanation:

0.20

The 2 is part of the tenths place.

Answer:

$0.20

Step-by-step explanation:

1 penny = $0.01

1 nickel = $0.05

1 dime = $0.10

1 quarter = $0.25

Two dimes = $0.20

Or 1/4 of a dollar

Or 0.2 because you don't need to add a 0 at the end of .2 or the $ sign.

Answer:

e

Step-by-step explanation:

e

Answer:

33.15

Step-by-step explanation:

102/2 = 51

65% of 51 = 33.15

Answer:

65% of (102/2) is 33.15

Step-by-step explanation:

I used a calculator and got this answer, it is correct. Have a nice day :)

[tex] \cos(2x) = \cos(x) [/tex]

Solution (1)

[tex]2x = x + 2k\pi[/tex]

[tex]2x - x = 2k\pi[/tex]

[tex]x = 2k\pi[/tex]

for k=0 / for k=1 / for k=-1

x=0 / x=2π / x=-2π

acc / acc / rej

solution (2)

[tex]2x = - x + 2k\pi[/tex]

[tex]2x + x = 2k\pi[/tex]

[tex]3x = 2k\pi[/tex]

[tex]x = \frac{2k\pi}{3} [/tex]

for k=0 / for k=1 / for k=-1

x=0 / x=2π/3 / x=-2π/3

acc / acc / rej

Note that i'm trying values of K which make the answer belong to our interval;

So our solution which i will represent as a set is;

S € {0,2π/3,2π}

[tex]\text{Area of equilateral triangle ABC}\\ \\=\dfrac{\sqrt 3}{4} BC^2\\\\=\dfrac{\sqrt 3}4 \cdot 12^2\\\\=\dfrac{144\sqrt 3}{4}\\\\=36\sqrt 3[/tex]

Answer:

I can help you what you need help with

Step-by-step explanation:

Answer:

x=2

y=2

Step-by-step explanation:

x+3y=8

- x-4y=-6

7y=14

y=14/7

y=2

x+3(2)=8

x+6=8

x=8-6

x=2

y=2

x=2

=================================================

Here, we have to multiply fractions.

How to Multiply Fractions?

Here are the steps:-

So let's do it.

Step 1:-

[tex]\longmapsto\sf{3=\displaystyle\frac{3}{1}[/tex]

Step 2:-

[tex]\longmapsto\sf{\displaystyle\frac{3}{1} *\frac{7}{10}}[/tex]

[tex]\longmapsto\sf{\displaystyle\frac{21}{10} }[/tex]

We can't simplify this fraction, but there's something else we can do:-

Here's the answer:-

[tex]\boxed{\sf{2\displaystyle\frac{1}{10} }}[/tex]

=====================================================

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)