Find the equation of the quadratic function with vertex (– 2, – 6) that goes through the point (-4, -18)

Answer:

2^1/6

Step-by-step explanation:

either find the result of all equations or

times square root(2) by cube root (3) and put it over 1

... 1/6 and put this as the power to the number in the question

point-slope form: y-y₁ = m(x-x₁)

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

[tex]\rightarrow \sf y - 5 = \dfrac{5}{3} (x-3)[/tex]

slope-intercept form: y = mx + b

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

[tex]\rightarrow \sf y - 5 = \dfrac{5}{3}(x)+ \dfrac{5}{3}(-3)[/tex]

[tex]\rightarrow \sf y - 5 = \dfrac{5}{3}(x)-5[/tex]

[tex]\rightarrow \sf y = \dfrac{5}{3}(x)-5+5[/tex]

[tex]\rightarrow \sf y = \dfrac{5}{3}(x)[/tex]

point slope form:-

Slope intercept form

y=mx+b

Answer:

[C] 1/3 of the pizza

Step-by-step explanation:

Given that:

Juan and two of his friends are going to share of a pizza.

Thus, we know that:
Juan + two of his friend = 3 people

Hence, each person gets

1/3 of the pizza

Check Answer

1/3 × 3 =1 whole {whole pizza}

or we can do

1/3 + 1/3 + 1/3 = 1 whole.

We can also do this:

Numerator = how many each person gets

Denominator = Total people

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Kavinsky

Answer:

x = 16/3, y = -1/9

Step-by-step explanation:

4x + 1 = 5(x-3y) - 6

3(x+6y) + 4 = 9y + 19

Simplify both equations

4x + 1 = 5x-15y - 6

-x + 15y = -7

3x + 18y + 4 = 9y + 19

3x + 9y = 15

Now multiply 3 on both sides for the first equation.

(easier for adding both equations)

-3x + 45y = -21

3x + 9y = 15

Add both equations

x cancels out

54 y = -6

y = -1/9

plug in to other equation

3x + 9y = 15

3x - 1 = 15

3x = 16

x = 16/3

The expression that can be used to represent Rebekah's age in years given Yvonne's age is 3y - 1.

Mathematical expressions are statements that contain a combination of numbers and variables.

Given that Yvonne's age is y.

Rebekah's age = one less than 3 times y. 'less' means subtraction and 'times' means multiplication.

(3 x y) - 1

3y - 1

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Sum of the interior angles of any n-side shape must equals to :

[tex](n - 2) \times 180[/tex]

Thus ;

[tex](5 - 2) \times 180 = [/tex]

[tex] 3\times 180 = [/tex]

[tex]540 \: \: degrees[/tex]

So :

[tex]x + 122 + 100 + 90 + 144 = 540[/tex]

[tex]x +456 = 540[/tex]

Subtract both sides 456

[tex]x + 456 - 456 = 540 - 456[/tex]

[tex]x = 84[/tex]

There u go...

Answer:

Step-by-step explanation:

Complementary angles sum to 90 degrees.

< BAF and < BFA

<CDE and < CED.

Supplementary ( sum to 360):

< FBC and <BFE

<BCE and < FEC.

The percentage increase in the sales of hybrid cars from 2005 to 2012 is 10%.

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentages are a measure of frequency.

Percentage increase = (number of cars sold in 2012 / number of cars sold in2005)^(1/n) - 1

(432,798/ 205,828)^(1/8) - 1 = 10%

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The y-intercept is the b term in slope intercept form (y = mx + b) or in the form of a point (0, y).

Function 1 is in slope-intercept form, and the b term is 5.

Function 2 is given in a table, but it is easy to find the point (0, y) and y is 5.25.

5.25 > 5

Function 2 has the greater y-intercept.

Hope this helps!

Answer:

14

Step-by-step explanation:

Because I looked it up

Answer:

A i= 44. B i= 44. C i= 40.

The expected value is 50 then Carmen’s prediction is low because 200 times one-fourth is 50. Then the correct option is B.

Expectation can be taken as a weighted mean, weights being the probability of occurrence of that specific observation.

Thus, if the random variable is X, and its probability mass function is given as

[tex]E(X) = \sum_{i=1}^n( f(x_i) \times x_i)[/tex]

(n is the number of values X takes)

Carmen is going to roll an 8-sided die 200 times.

She predicts that she will roll a multiple of 4 twenty-five times.

The sample will be

Total event = 8 {1, 2, 3, 4, 5, 6, 7, 8}

Then the favorable event will be to roll an 8-sided die and get a multiple of 4. Then we have

Favorable event = 2 {4, 8}

Then the probability will be

[tex]\rm P = \dfrac{2}{8} = \dfrac{1}{4}[/tex]

A dice is rolled 200 times, then by the binomial theorem we have the expected value will be

[tex]E(x) = nP = 200 \times \dfrac{1}{4} = 50[/tex]

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Answer:

B

Step-by-step explanation:

The true statement about the bank survey is (e) The bank does not need to use an inference procedure to determine the participant proportion

The population and the sample size are given as:

N = 60

This is so because the bank surveyed all her staff.

Since all the bank staffs participated in the survey, it means that the proportion of the study is 1 or 100%.

So, the bank do not need to determine the proportion that participates

Hence, the true statement is (e)

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1) The mean of set A is larger than the mean of set B.

2)The median of set A is larger than the median of set B.

A = {10, 12, 12, 6, 8, 5, 4, 10, 8, 10, 12, 12, 6}

B = {8, 8, 8, 7, 9, 7, 9, 10, 6, 8}

Mean is the ratio of the sum to the total number of observations.

Mean of set A = 115/13

Mean of set B =80/10 =8

So, the mean of set A is larger than the mean of set B.

Arranging both the sets in ascending order

A = {4, 5, 6, 6, 8, 8, 10, 10, 10 12, 12, 12, 12 }

Median of set A = middle term = 7th term = 10

Similarly, the median of set B =8

So, the median of set A is larger than the median of set B.

Thus, 1) The mean of set A is larger than the mean of set B.

2)The median of set A is larger than the median of set B.

Answer:

B D E

Step-by-step explanation:

I took the assignment and these are right. :)

Answer:

I am unsure of the wording of this question, so I will answer both ways I see it.

When x = x + 3, the value of 2x³ + x² - x is 2x³ + 19x² + 59x + 66.

When x = 3, the value of 2x³ + x² - x is 60.

Step-by-step explanation:

x = x + 3 solution:

It is given that:
f(x) = 2x³ + x² - x

We are trying to find this when x = x+3. Substitute this value in for every x in the function.

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

Expand the first part.

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

Multiply pairs together.

f(x + 3) = 2(x + 3)(x² + 6x + 9) + (x + 3)² - (x + 3)

Multiply the remaining pairs together.

f(x + 3) = 2(x³ + 9x² + 27x + 27) + (x + 3)² - (x + 3)

Distribute the two inside the parenthesis.

f(x + 3) = 2x³ + 18x² + 54x + 54 + (x + 3)² - (x + 3)

Evaluate (x + 3)².

f(x + 3) = 2x³ + 18x² + 54x + 54 + (x² + 6x + 9) - (x + 3)

Remove all parenthesis and start simplifying.

f(x + 3) = 2x³ + 18x² + 54x + 54 + x² + 6x + 9 - x - 3

Combine all terms ending in x².

f(x + 3) = 2x³ + (18x² + x²) + 54x + 54 + 6x + 9 - x - 3

f(x + 3) = 2x³ + 19x² + 54x + 54 + 6x + 9 - x - 3

Combine all terms ending in x.

f(x + 3) = 2x³ + 19x² + (54x + 6x - x) + 54 + 9 - 3

f(x + 3) = 2x³ + 19x² + 59x + 54 + 9 - 3

Last, combine the final numbers to get:

f(x + 3) = 2x³ + 19x² + 59x + 60

x = 3 solution:

It is given that:
f(x) = 2x³ + x² - x

Substitute 3 in for every value of the function.

f(3) = 2(3)³ + (3)² - 3

Evaluate 3 cubed and then multiply it by 2.

f(3) = 2(27) + 3² - 3

f(3) = 54 + 3² - 3

Evalute 3 squared.

f(3) = 54 + 9 - 3

Add 54 and 9.

f(3) = 63 - 3

Subtract 3 from 63 to get:

f(3) = 60

Answer:

  $793

Step-by-step explanation:

The amount of money in an account earning simple interest is given by the formula ...

  A = P(1 +rt)

where P is the principal invested at rate r for t years.

__

Using the values given in the problem statement, the account balance can be found to be ...

  A = $650(1 +0.055×4) = $650×1.22 = $793

There will be $793 in the account after 4 years.

The surface area of the covering of the cone to the nearest square inches is 788 inches²

surface area of a cone = πr(r + l)

where

Therefore,

diameter = 2(radius)

14 = 2r

r = 14 / 2

r = 7 inches

l² = 7² + 28²

l = √49 + 784

l = √833

l = 28.8617393793

l = 28.86 inches

Therefore,

surface area = 3.14 × 7 (7 + 28.86)

surface area = 21.98 × 35.86

surface area = 788.2028

surface area = 788 inches²

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Answer: Here you go :)

Step-by-step explanation:

Hope this helps, have a nice day!

Answer:

Step-by-step explanation:

Part A, the system of equation is, presented here as follows;

(1) 2·y = 3·x + 2

(2) y = 2·x² - 3·x + 2

Part B; The graph of the system of equation is attached

The reason for the above answers is as follows;

Part A

A system of equations are a given number of equations from which a common solution of the system can be found

A linear equation is an algebraic equation in which the maximum exponent of the variables is one and the graph of the equation is a straight line which is of the form y = m·x + c

A maximum value of the exponents of the variable quadratic equation is 2, and the general form of the quadratic equation is y = a·x² + b·x + c, where a, b, and c are real numbers

Therefore, the system of equation that can be created is as follows;

(1) 2·y = 3·x + 2

(2) y = 2·x² - 3·x + 2

Method for solving;

Divide equation (1) by 2, and equate both values of y to find the common solution as follows;

2·y/2 = (3·x + 2)/2 = 1.5·x + 1

∴ y = 1.5·x + 1

Equating both values of y gives;

y = 1.5·x + 1

y = 2·x² - 3·x + 2

Therefore;

1.5·x + 1 = 2·x² - 3·x + 2

2·x² - 3·x - 1.5·x + 2 - 1 = 0

2·x² - 4.5·x + 1 = 0

Using the quadratic formula, we get;

x = (4.5 ± √((-4.5)² - 4×2×1))/(2 × 2)

x = 2, or x = 0.25

From which we get;

y = 1.5 × 2 + 1 = 4, or y = 1.5 × 0.25 + 1 = 1.375

The points where the line graph and the quadratic graph intersect are;

(2, 4), and (0.25, 1.375)

Part 2

Answer:

22%

Step-by-step explanation:

formula for percentage increase:
increase/original number x 100

increase is $66 (366-300)

66/300 x 100

= 22/100 x 100

= 22

hope this helped :)

20 + 14 + 8 + 28 = 70

70/4(we're dividing by 4 cause the no.of characters is 4)

and = 17.5

hope it really helps...!!!

Answer:

Step-by-step explanation:

He may or not be correct. It depends on the profit you make on each sundae cup compared with the profit on the other treat.  The other treat  might give a higher profit.

Omar is correct since if 50% of the

Profit is defined as the amount gained by a person or business.

Profit = Total Revenues - Total cost

Given that,

you and Omar are talking about which two frozen treats would be best to sell.

Omar claims that because 50% of the frozen treats sold in Week 1 were sundae cups, the sundae cups accounted for 50 % of the profit.

Total number of the frozen treats = 100%

If 50% of the frozen treats sold in Week 1 were sundae cups, then the profit of the frozen treats will be 50% of the total which came from sundae cups.

Hence Omar is correct.

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#SPJ2

The z-statistic for Brett's data is found to be as given by: Option A: -5.30 (approx).

Suppose we're specified that:

Then the z-statistic for this data is found as:

[tex]Z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}}[/tex]

For this case, we've got:

Thus, we get:

[tex]Z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{295 - 310}{20/\sqrt{50}} \approx -5.30[/tex]

Thus, the z-statistic for Brett's data is found to be as given by: Option A: -5.30 (approx).

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According to the given data and applying it's formula, the z-statistic is of z = -5.30.

It is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

In this problem, the values of the parameters are given by:

[tex]\overline{x} = 295, \mu = 310, \sigma = 20, n = 50[/tex]

Hence, the z-statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{295 - 310}{\frac{20}{\sqrt{50}}}[/tex]

z = -5.30.

The z-statistic is of z = -5.30.

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Answer:

108

Step-by-step explanation:

the question is not visible lol

Answer:

can u show a more clear picture or tell me the numbers on it

Answer:

y=8

Step-by-step explanation:

vertical lines parallel to x axis

Answer:

18cm

if it takes 12cm to wrap 6 presents, it means it takes 2cm to wrap one present.

9 individual presents will take 2 wraps, so Dwayne needs 18cm of wrapping paper.