write the equation in general form

Write The Equation In General Form

Answers

Answer 1

Step-by-step explanation:

here is your answer hope you will enjoy and mark me as brainlist

thank you

Write The Equation In General Form
Write The Equation In General Form
Write The Equation In General Form
Write The Equation In General Form

Related Questions

Write the equation of the following parabolae in their canonical form and hence find their vertices, foci and directrix.
1.
[tex] {y}^{2} - 6y - 2x + 19 = 0[/tex]
2.
[tex] {x}^{2} + 4x + 4y + 16 = 0[/tex]

Answers

#1

Given:

y² - 6y - 2x + 19 = 0

This is a horizontal parabola.

Canonical form of horizontal parabola is:

4a(x - h) = (y - k)², where (h, k) is vertex

Focus is:

F(h + a, k)

Directrix is:

x = h - a

Convert the equation:

y² - 6y - 2x + 19 = 0y² - 6y  + 9 - 2x + 10 = 0(y - 3)² = 2x - 10(y - 3)² = 4(1/2)(x - 5)

We got:

h = 5, k = 3, a = 1/2

Focus is:

F(5 + 1/2, 3) = F(5.5, 3)

Directrix is:

x = 5 - 1/2 = 4.5#2

Given:

x² +4x + 4y + 16 = 0

This is a vertical parabola.

Canonical form of vertical parabola is:

4a(y - k) = (x - h)², where (h, k) is vertex

Focus is:

(h, k + a)

Directrix is:

y = k - a

Convert the equation:

x² + 4x + 4y + 16 = 0x² +4x + 4 + 4y + 12 = 0(x + 2)² = -4y - 12(x + 2)² = 4(-1) (y + 3)

We got:

h = - 2, k = -3, a = - 1

Focus is:

F(-2, -3 - 1) = F(-2, - 4)

Directrix is:

y = -3 - (-1) = - 2

5 peppers for $5.50 how much is each

Answers

Answer:

$1.10

Step-by-step explanation:

5.50 divided by 5, take a way the decimal in order to divide. 550/5=110

55 divided by 5 is 11 just add a zero

Jessica and her brother collects stamps. When Jessica gives her brother 1% of her stamps, she has 2,475 stamps left. Calculate how many stamps Jessica had originally.

Answers

Answer:

2500

Step-by-step explanation:

2475 stamps is 99% of her original number of stamps.

SO,

[tex]2475 \div 99\% = 2500[/tex]

She originally had 2500 stamps

what is the solution to the system of equations​

Answers

Here the answer hope this help

Which function has the graph shown below? *

a. f(x) = x² - 4
b. f(x) = x² + 4
c. f(x) = (x + 4)²
d. f(x) = (x - 4)² opps dont forget to change the sign​

Answers

Answer:

C

Step-by-step explanation:

yeah-ya......... right?

show me how to do the work please

Answers

[tex]\large\boxed{\mathsf{\dfrac{x}{-4}\leq 12}}\\\\\large\text{MULTIPLY -4 to BOTH SIDES}\\\\\large\boxed{\mathsf{-4\times -\dfrac{1}{4}x \leq -4 \times 12}}\\\\\large\text{CANCEL out: }\rm{-4 \times-\dfrac{1}{4}}\large\text{ because it gives you 1}\\\\\large\text{KEEP: }\rm{-4\times 12}\large\text{ because it helps solve for what is being compared to the }\\\large\text{x-value}\\\\\large\text{NEW EQUATION: }\rm{x \geq\ -4 \times 12}\\\\\large\text{SIMPLIFY IT}\uparrow[/tex][tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{x\geq-48}}}\huge\checkmark[/tex]

[tex]\large\boxed{\mathsf{It\ is\ an\ CLOSED\ circle\ shaded\ to\ the\ right}}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Which of the following equations has one real solution?


2x2+x+3=0

x2+5x−3=0

x2−5x+4=0

4x2−12x+9=0

Answers

Answer:

4x2−12x+9=0

Step-by-step explanation:

The equation, 2x2+x+3=0, does not have a solution

The equation, x2+5x−3=0, equals -5/2+1/2√37 and -5/2+-1/2√37

The equation, x2−5x+4=0, equal 1 and 4

The equation, 4x2−12x+9=0, equals only 3/2

Hope this Helps

A landscaper is planting a tree that is now 48 cm tall. The tree will grow 2 cm per month for x months,
The tree will grow to be less than y cmn tall. Write an inequality showing this relationship.

Answers

Answer:

y > 2x + 48

Step-by-step explanation:

Guided Practice

Type your answer and then click or tap Done.
Use the ^ symbol (Shift+6 on the keyboard) to signify an exponent. For example, for 2 to the third power, enter 2^3.

Identify the quadratic term in the function.

f(x)=2x^2−3x+5

Answers

Answer:

2x^2

Step-by-step explanation:

Q:

identify the quadratic term in the function f(x)=2x^2-3x+5

A:

The quadratic term is 2x^2.

Answer:

2x2-3x-5=0

Step-by-step explanation:

(2x2 -  3x) -  5  = 0

Answer:

The quadratic term in the function is  

Step-by-step explanation:

Given : Function  

To find : Identify the quadratic term in the function ?

Solution :

The quadratic  form of the function is  

Where,  is quadratic term.

On comparing with given function,  

is the quadratic term.

Therefore, the quadratic term in the function is

3x-8=3(1x-3)-2

whats the answer to that problem

Answers

Answer:

-3

Step-by-step explanation:

......................

Work out Sarah's total pay for the last week

Answers

Answer:

190

Step-by-step explanation:

Attached picture...

HELP!!! IM CONFUSED

Answers

Answer:

2/3

Step-by-step explanation:

If we want to find the slope, the most easiest way to find the slope is to use 'Rise/Run'. Two points are given, lets use those points and find the slope.

=> We see that the rise is 2. So 2 will be our numerator,

=> We can also see that the run is 3. So 3 will be our denominator.

What do we get?

We get 2/3 as our slope. Therefore, B is our answer. Hoped I helped.

Factor
1
out of
2x+6.
.
The factored expression is

Answers

Answer:

the factored expression: 2(x + 3)

A store owner has 65.5 pounds of candy. If he splits the candy equally into 5 boxes, how many pounds of candy will each box contain?

Answers

Answer: Each box of candy would contain 13.1 pounds of candy.

Step-by-step explanation:

Divide 65.5 by 5. Hope this helps!

YES I WILL BE GIVING A BRANLIST
Which function has the greater rate of change? What is that value?

Answers

Answer:

To find the rate of change you use the formula, Y2-Y1/X2-X1.

Function A:

You can substitute in any two points. The points I will use are (0,0) and (1,1).

1-0/1-0

1/1

1

The rate of change for Function A is 1.

Function B:

The points I will use are (2,1) and (4,2).

2-1/4-2

1/2

The rate of change for Function B is 1/2.

Since 1 is larger than 1/2, Function A has a larger rate of change. The value is 1.

Hope this helps! :)

What number is furthest from 0 on a number line? 16 or 18?

Answers

18. _______________________________________

Solve for n.

n + 24 = 99

n =

Answers

Answer:

[tex]n + 24 = 99 \\ \\ n = 99 - 24 \\ \\ n = 75[/tex]

N= 75. Because 99-24= 75

.Learning Task 2: Get the quotient of each item up to the nearest ten thousandths place. Then, round the decimals to their nearest thousandths. Number 1 is done for you.

1.45÷8= 5.6250 -5.625------- example

4.93÷9 = _____ - ______

2. 77÷9 = _____ - ______

5.88 ÷7= _____ - ______

3.81÷7= _____ - ______

6.55÷8=_____ - ______​

sorry if the numbers is a bit confusing

Answers

The responses for the quotient given to the nearest thousandths are

presented in the order of the of the questions as follows;

[tex]Question \ 4) \ \displaystyle \underline{\frac{93}{9} = 10.3333 \approx 10.333}}[/tex]

[tex]Question \ 2) \ \displaystyle \underline{\frac{77}{9} = 8.5555 \approx 8.556}[/tex]

[tex]Question \ 5) \ \displaystyle \underline{\frac{88}{7} = 12.4285 \approx 12.429}[/tex]

[tex]Question \ 3) \ \displaystyle \underline{\frac{81}{7} = 11.5714\approx 11.571}[/tex]

[tex]Question \ 6) \ \displaystyle \underline{\frac{55}{8} = 6.8750\approx 6.875}[/tex]

Reasons:

4. The division is presented as follows;

[tex]\displaystyle \mathbf{\frac{93}{9}}= \frac{90 + 3}{9} = 10 + \frac{1}{3} = 10.\overline 3[/tex]

Given that we have;

[tex]\displaystyle \frac{1}{3} = 0.\frac{10}{3} =0.3 \frac{10}{3} = 0.3333[/tex]

Therefore;

[tex]\displaystyle \underline{\frac{93}{9} = 10.3333 \approx 10.333}[/tex]

2. The division is presented as follows;

[tex]\displaystyle \mathbf{\frac{77}{9}} = \frac{72 + 5}{9} = 8 + \frac{5}{9} = 8. \frac{50}{9} = 8.5\frac{50}{9} = 8.55\frac{50}{9} = 8.555\frac{50}{9} = 8.5555[/tex]

Therefore;

[tex]\displaystyle \underline{\frac{77}{9} = 8.5555 \approx 8.556}[/tex]

5. The division is presented as follows;

[tex]\displaystyle \mathbf{\frac{88}{7}} = \frac{85 + 3}{7} = 12 + \frac{3}{7} = 12. \frac{30}{7} = 12.4\frac{20}{7} = 12.42\frac{60}{7} = 12.428\frac{40}{7} = 12.4285\frac{5}{7}[/tex]

[tex]\displaystyle \underline{\frac{88}{7} = 12.4285 \approx 12.429}[/tex]

3. The division is presented as follows;

[tex]\displaystyle \mathbf{\frac{81}{7}} = \frac{77 + 4}{7} = 11 + \frac{4}{7} = 11. \frac{40}{7} = 11.5\frac{5}{7} = 11.57\frac{10}{7} = 11.571\frac{30}{7} = 11.5714\frac{20}{7}[/tex]

Therefore;

[tex]\displaystyle \underline{\frac{81}{7} = 11.5714\approx 11.571}[/tex]

6. The division is presented as follows;

[tex]\displaystyle \mathbf{\frac{55}{8}} = \frac{48 + 7}{8} = 6 + \frac{7}{8} = 6. \frac{70}{8} = 6.8\frac{60}{8} = 6.87\frac{40}{8} = 6.875\frac{0}{8} =6.8750[/tex]

Therefore;

[tex]\displaystyle \underline{\frac{55}{8} = 6.8750\approx 6.875}[/tex]

Learn more here:

https://brainly.com/question/17913153

HELP!! Highschool math

Answers

Answer:

What does this mean?

Step-by-step explanation:

So you need to divide the m by 234 and after you got your answer you would need to times it by 156

what is the correct Answer?!

Answers

Answer:

B

Step-by-step explanation:

2⁶

2⁶

then add the ⁶+³+⁶+³ =18

2¹⁸



Sully built a shelf 8 5/8 inches wide for his DVD collection. If each DVD is 3/8 inches
wide, how many can he fit on the new shelf?

Answers

Answer:

23

Step-by-step explanation:

8 5/8 = 69/8

Each DVD is 3/8 inches

Ignore the denominators

We have 69 and 3

69 is 23 times bigger than 3, so 23 DVD's can fit

hi please help me with part b and can you see if i did a correctly pls?

Answers

a is right its 58

and in my opinion i think b would be 58*5=290 cents, since nickel is worth 5 cents.

but gotta check other people's answers

A) (2x-10)(3x+1)
B) (3x+2)(2x-5)
C) (2x+5)(3×+1)
D) (2x+1)(3×+5)
E) None of the above. The quadratic f(x) = 6x] + 11X - 10
would have which of the following
factors?

Answers

Answer:

B

Step-by-step explanation:

(3x+2)(2x-5)

Brainliest?

HELP DUE IN 1 MINUTE 5x^3 + 20x^2-160x

Answers

5x(x-4)(x+8) should be ur answer

Find the slope between:
(1,-2)
(2,-2)

Answers

Answer: the slope would be 0

Step-by-step explanation:

Simplify.

x2+2x−3/
x−4/
2x2+5x−3/
x^2−16



x2−x−12/2x−3

x2−5x−4/2x−1

x2+3x−4/2x−1

x2+x−12/2x−3

Answers

Answer:

x^2 + 7x- 3/x - 3/x^2 -16

Step-by-step explanation:

Key:  ( ^ ) means exponent

= x^2 + 2x- 3/x -2x^2 + 5x- 3/x^2 -16

= x^2 - 2x^2 + 2x+5x - 3/x- 3/x^2 -16

= x^2 - 2x^2 = -x^2

=  -x^2 + 2x + 5x- 3/x- 3/x^2-16

As you see you add 2x and the 5x and got 7x

= Answer : x^2 + 7x- 3/x - 3/x^2 -16

Answer:

I think the answer is x^2+3x-4/2x-1

If A(2, 3) and B(-4, -6), find AB.--

Answers

[tex] \huge \bf༆ Answer ༄[/tex]

The distance between points can be solved using Distance formula (similar to Pythagoras theorem)

[tex] \boxed { \sf D = \sqrt{(x2 - x1) {}^{2} + {(y2 - y1) {}^{2} } }}[/tex]

Put the values : -

[tex] \sf D = \sqrt{ (2 - ( - 4)) {}^{2} + (3 - ( - 6)) {}^{2} } [/tex]

[tex] \sf \: D = \sqrt{ {(6)}^{2} + (9) {}^{2} } [/tex]

[tex] \sf D = \sqrt{36 + 81} [/tex]

[tex] \sf D = \sqrt{117} [/tex]

[tex] \sf D = 3 \sqrt{13} [/tex]

Distance between the points = 3√13 units

[tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]

Answer:

If you are trying to find the line, simply use a graph.

Step-by-step explanation:

digital root of 5307​

Answers

Answer:

15 hegevwyegecceccr

Step-by-step explanation:

5+3+0+7=15

Answer:

The digital root of 5307 is 6

Step-by-step explanation:

What is the next term in the sequence 58, 47, 36, 25,. ? –58 –8 14 69.

Answers

Answer:

14

Step-by-step explanation:

58, 47, 36, 25,. ?

Each term is 11 less than the preceding term

the term after 25 will be

25 - 11 = 14

please help with statistic 20

Answers

Part A

p = 0.32 = probability of someone voting by internet

n = 13 = sample size

x = 10 = number of people who voted by internet

Apply the binomial probability formula.

[tex]P(x) = (_n C _x)*(p)^{x}*(1-p)^{n-x}\\\\P(10) = (_{13} C _{10})*(0.32)^{10}*(1-0.32)^{13-10}\\\\P(10) = (286)*(0.32)^{10}*(0.68)^{3}\\\\P(10) \approx 0.0010124942242\\\\P(10) \approx \textbf{0.00101}\\\\[/tex]

Note: the [tex]_n C_x[/tex] refers to the combination formula.

Answer:   0.00101

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

Part B

We could apply the binomial theorem for the following values of x: {10,11,12,13}. Then would add up the results.

However, such a task is fairly tedious and it's more efficient to use computer software (or a graphing calculator). Also, there's the element of limited time that you'll need to consider. I showed the steps for part A above because your teacher may have wanted you to list them. Usually it's better to rely on software for that task as well. At the very least, it's useful to have software to check your answer.

Whichever method you use, you should find the following:

P(10) = 0.00101P(11) = 0.00013P(12) = 0.00001P(13) = 0

The last value isn't exactly 0, but it's so small that it's effectively zero. This is because we only have 5 decimal places to work with.

Add up those four values to get:

[tex]P(x \ge 10) = P(10)+P(11)+P(12)+P(13)\\\\P(x \ge 10) \approx 0.00101+0.00013+0.00001+0\\\\P(x \ge 10) \approx 0.00115\\\\[/tex]

A faster shortcut is to use your calculator's binomCDF function.

This result of 0.00115 is fairly small. The usual distinction we make between whether a probability is small or not is to set up some kind of threshold. This threshold is known as the significance level. By default, it's set to 0.05 unless your teacher specifies otherwise. Another common significance level is 0.01, but it's usually mentioned.

Since 0.00115 is smaller than 0.05, and even 0.01, we consider the probability of getting 10 or more internet voters to be a significant event. It's fairly unusual to get 10 or more people voting by internet in this sample of n = 13 people.

Answer: Choice A) Yes, because the probability of 10 or more is 0.00115, which is low.

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

Part C

Like with part B, we could find the binomial probability values for x = {1,2,3,...,11,12,13}. We could add up the values like I did, or use the binomCDF function which is faster.

Another approach is to use the complement of the event "at least 1". If x is some number in the set {0,1,2,..,12,13}, then either [tex]x = 0[/tex] or [tex]x \ge 1[/tex]

From this, we can say

[tex]P(x=0) + P(x \ge 1) = 1\\\\P(x \ge 1) = 1-P(x=0)\\\\P(x \ge 1) \approx 1-0.00665\\\\P(x \ge 1) \approx 0.99335\\\\[/tex]

This then rounds to 0.993

Answer:  0.993
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