Using a directrix of y = −2 and a focus of (2, 6), what quadratic function is created?
here are the answers given
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f(x) = −one eighth (x − 2)2 − 2
f(x) = one sixteenth (x − 2)2 + 2
f(x) = one eighth (x − 2)2 − 2
f(x) = −one sixteenth (x + 2)2 − 2

Answer:

  D.  8/7

Step-by-step explanation:

A probability value is always in the interval [0, 1], between 0 (can't happen) and 1 (certain to happen).

__

A value of 8/7 will not be a probability. Statement D does not correctly use probability.

Answer:

Any equation with a slope greater than ²/₃

Step-by-step explanation:

Given table:

[tex]\begin{array}{| c | c |}\cline{1-2} x & y \\\cline{1-2} 3 & 2 \\\cline{1-2} 6 & 4 \\\cline{1-2} 9 & 6 \\\cline{1-2} \end{array}[/tex]

The unit rate is a ratio that compares the first quantity to one unit of the second quantity.  The unit rate is also the slope of a linear equation.

Linear equation

[tex]y = mx + b[/tex]

where:

To find the slope, take two ordered pairs from the table:

[tex]\sf let \: (x_1,y_1)=(3,2)[/tex]

[tex]\sf let \: (x_2,y_2)=(6,4)[/tex]

Substitute them into the slope equation:

[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4-2}{6-3}=\dfrac{2}{3}[/tex]

Therefore, the unit rate is ²/₃.

Any equation with a slope greater than ²/₃ is an equation with a greater unit rate than that represented in the given table.

Slope of table

Slope

Any equation having slope greater than 2/3 has higher unit rate than that of table

Answer:

cube root 64, 4.2, sqrt 19

Step-by-step explanation:

cube root of 64 = 4

sqrt 19 = 4.3

Answer:

2ah + 3√3a, 2,

use this formula^

You'll get the answer

133.3

Answer:

25.5

Step-by-step explanation:

i passed

Answer:

-2

Step-by-step explanation:

if you divide 8 by -2 you get -4

Answer:

The solution of a number divides by 8 equals to 4.

Step-by-step explanation:

This statement does not match the condition discussed above.

Answer:

option A

Explanation:

General measurement for a treehouse:

For best measurement, option A is correct.

In option B and C, the measurement is too small for the tree house.

Answer:

6

Step-by-step explanation:

Think of the activities as numbers 1, 2, 3, 4. Since she can only do two, here are all the combinations: 1 and 2, 1 and 3, 1 and 4, 2 and 3, 2 and 4, 3 and 4.

That is 6 different combinations in total.

Answer:

24 students prefer pepsi to coke

Step-by-step explanation:

84 divided by 7 is 12

12 times five is 60

84 minus 60 results in 24 students

Answer:

It is 49 students.

Step-by-step explanation:

So, 5:7 in fraction form is 5/12 and 7/12 so when you you multiply 7/12 and 84 you get 48.72 and then you can round your answer to 49 students.

Answer:  No

Explanation:

Replace p with 2 and simplify

8 ≠ 3p + 2

8 ≠ 3(2) + 2

8 ≠ 6 + 2

8 ≠ 8

We get a false claim, so the original inequality 8 ≠ 3p + 2 is false when p = 2. Meaning that p = 2 is not a solution.

If the "not equal" sign was changed to an equal sign, then we would have a solution.

Answer:

no / false

Step-by-step explanation:

If we set the "p" in this equation to be equal to 2 (p = 2), we can test this inequality:

8 ≠ 3p + 2

8 ≠ 3(2) + 2

8 ≠ 6 + 2

8 ≠ 8

FALSE STATEMENT

so, p = 2 is not a solution to this inequality

(no)

hope this helps!!

{"≠" means the opposite of = [the two sides of the equation are not equal, which is not true for this situation] }

Answer:

V = 32

Step-by-step explanation:

Comment

I think you should try this one yourself after I post my answer. Estimation is a very valuable tool -- the more you use it, the handier it gets.

Formulas

pi = 3

V = 4/3 * pi * r^3

Givens

r = 2

pi = 3

Solution

V  = 4/3 * pi * r^3                     Substitute values for symbols

V = 4/3 * 3 * 2^3                      Cancel the 3s

V = 4 * 2^3                               Expand the 2s

V = 4 * 2 * 2 * 2                       Find V

V = 32

In this question we are provided with the radius of a sphere. We are asked to calculate the volume of the sphere.

[tex] \large \: \star\small\boxed{ \rm{ Volume_{(sphere)} = \dfrac{4}{3} × π × r³}}[/tex]

Where,

[tex] \small\sf{ Volume_{(sphere)} = \dfrac{4}{3} × 3 × 2³}[/tex]

[tex] \rightarrow \small\sf{ Volume_{(sphere)} = \dfrac{4}{ \cancel{3}} × \cancel {3} × 8} [/tex]

[tex] \rightarrow \small\sf{ Volume_{(sphere)} = 4 \times 8 = 32}[/tex]

[tex] \bull \: \small \underline{ \boxed{\sf{ Volume_{(sphere)} = 32 {cm}^{3} }}}[/tex]

Answer:

5 pennies = 1 nickel1 nickel = 5 pennies1 nickel + 5 pennies = 1 dime1 dime = 1 nickel + 5 pennies10 pennies = 1 dime1 dime = 10 pennies2 nickels = 1 dime1 dime = 2 nickels5 nickels = 1 quarter1 quarter = 5 nickels2 dimes + 1 nickel = 1 quarter1 quarter = 2 dimes + 1 nickel4 nickels + 5 pennies = 1 quarter1 quarter = 4 nickels + 5 pennies2 dimes + 5 pennies = 1 quarter1 quarter = 2 dimes + 5 pennies10 pennies + 3 nickels = 1 quarter1 quarter = 10 pennies + 3 nickels1 dime + 2 nickels + 5 pennies = 1 quarter1 quarter = 1 dime + 2 nickels + 5 pennies1 dime + 1 nickel + 10 pennies = 1 quarter1 quarter = 1 dime + 1 nickel + 10 pennies2 quarters = 1 half dollar1 half dollar = 2 quarters5 dimes = 1 half dollar1 half dollar = 5 dimes

5 nickels + 1 quarter = 1 half dollar1 half dollar = 5 nickels + 1 quarter3 dimes + 4 nickels = 1 half dollar1 half dollar = 3 dimes + 4 nickels4 dimes + 2 nickels = 1 half dollar1 half dollar = 4 dimes + 2 nickels1 quarter + 1 dime + 2 nickels + 5 pennies = 1 half dollar1 half dollar = 1 quarter + 1 dime + 2 nickels + 5 pennies2 half dollars = 1 one dollar coin1 one dollar coin = 2 half dollars5 dimes + 10 nickels = 1 one dollar coin1 one dollar coin = 5 dimes + 10 nickels1 one dollar bill = 1 one dollar coin1 one dollar coin = 1 one dollar bill4 quarters = 1 one dollar bill1 one dollar bill = 4 quarters3 quarters + 2 dimes + 1 nickel = 1 one dollar bill1 one dollar bill = 3 quarters + 2 dimes + 1 nickel10 dimes= 1 one dollar bill1 one dollar bill = 10 dimes1 quarter + 7 dimes + 1 nickel = 1 one dollar bill1 one dollar bill = 1 quarter + 7 dimes + 1 nickel2 quarters + 2 dimes + 5 nickels + 5 pennies = 1 one dollar bill

Step-by-step explanation:

This program simplifies our complex monetary system by familiarizing users with common combinations of coins and bills that are equivalent in value. Starting with five pennies equal one nickel, the program works up to equivalents for a twenty dollar bill.

Answer:

$1.05

Step-by-step explanation:

1 dime = 10 cents so 7 dimes = 70 cents
1 quarter = 25 cents

Therefore 10 cents + 7 dimes + 1 quarter = 10 + 70 + 25 = 105 cents = $1.05

Answer: $638.40

Step-by-step explanation:

45% converted to a decimal is 0.45

0.45 of $1200 = 0.45* $1200 (of in this case means multiply)

0.45 * $1200= $440

Because they said 11% of remaining salary, we have to do:

$1200-$440=$760

Now 11% converted to a decimal is 0.11

5% converted to a decimal is 0.05

So 0.11+0.05

0.11+0.05= 0.16

Now 0.16 *$760=$121.60

Now we find the remaining amount so we subtract: $760-$121.60= $638.40

So our answer is $638.40 left

Answer:

c. (y + z = 6) ⋅ −3

Step-by-step explanation:

We want to use elimination to eliminate y in a system of equations

y + z = 6

3y + 4z = 1

We can take the first equation and multiply by -3 to make the y term -3 so when we add  the equations -3y + 3y =0

-3(y + z = 6)

3y + 4z = 1

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

-3y  -3z = -18

3y + 4z = 1

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

0y  +z   = -17

Answer:

c. (y + z = 6) ⋅ -3

Explanation:

Equation P : y + z = 6

Equation Q : 3y + 4z = 1

In order to solve by elimination and remove the y-term, the coefficients of y must be same or negative to each other in both the equations.

So to make the y co-efficient similar here, multiply the first equation by -3

When done: (y + z = 6) · -3 = -3y - z = -18

Solving steps:

-3y - 3z = -18

3y + 4z = 1

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

    z = -17

There the y-term has been removed.

Answer:

Step-by-step explanation:

let number of passion fruits=x

number of dragon fruits=x+10% of x

=x+0.1 x=(1+0.1)x=1.1 x

total number of fruits=x+1.1 x=(1+1.1)x=2.1 x

1.1x+60% of 1.1x+x+9% of x=2.1x+75

1.1 x+0.6 of 1.1 x+x+0.09 of x=2.1x+75

1.1x+0.66 x+x+0.09 of x =2.1x+75

2.1 x+0.75x-2.1 x=75

0.75 x=75

[tex]\frac{75}{100}x =75\\x=75 \times \frac{100}{75} =100\\Originally ~total ~number~ of~ fruits=2.1x=2.1 \times100=210[/tex]

Answer:

Step-by-step explanation:

let number of passion fruits=xnumber of dragon fruits=x+10% of x=x+0.1 x=(1+0.1)x=1.1 xtotal number of fruits=x+1.1 x=(1+1.1)x=2.1 x1.1x+60% of 1.1x+x+9% of x=2.1x+751.1 x+0.6 of 1.1 x+x+0.09 of x=2.1x+751.1x+0.66 x+x+0.09 of x =2.1x+752.1 x+0.75x-2.1 x=750.75 x=75

Answer:

c. 360 in^3

Step-by-step explanation:

1st you will want to round the decimals to the nearst whole number

2.7 is 3

and

9.8 is 10

2nd now that you rounded the decimal lengths you can multiply

12x3x10=360in^3

Split the integrand into partial fractions.

[tex]\dfrac{9x+2}{x^2+x-6} = \dfrac{9x+2}{(x-2)(x+3)} = \dfrac a{x-2} + \dfrac b{x+3}[/tex]

[tex]\implies 9x+2 = a(x+3) + b(x-2) = (a+b)x + (3a-2b)[/tex]

[tex]\implies \begin{cases}a+b=9 \\ 3a-2b=2\end{cases} \implies a=4,b=5[/tex]

Then we have

[tex]\displaystyle \int \frac{9x+2}{x^2+x-6} \, dx = 4 \int \frac{dx}{x-2} + 5 \int \frac{dx}{x+3} \\\\ = \boxed{4\ln|x-2| + 5\ln|x+3| + C}[/tex]

which follows from the result

[tex]\displaystyle \int \frac{dx}x = \ln|x|+C[/tex]

Answer:

B)2

Step-by-step explanation:

We want to figure out the 415th digit of this repeating decimal.

[tex] \dfrac{2}{7} = 0. \overline{285714}[/tex]

Obviously it's almost impossible and absurd to find the answer by writing down all the 415 digits. So instead we're going to use some tricks to do so.

There're 6 repeating digits. dividing 415 by 6 yields 69.17. Now multiplying 69 by 6 yields 414 which means that the 414th digit of the repeating decimal would be the last digit of the repeating digits, that is,4 and hence The 415th digit of the repeating decimal is gonna be 2. Hence the answer is B

Answer:

c: -1 9/10

A: -2.5

B: -2

C: -1 9/10

D: -1

Answer:

1. Infinite

2. Inequality

3. Closed circle

4. Open circle

Brainliest, please :)

Answer:

Head Tails

Step-by-step explanation:

I hope this helps:)

Answer:

30%

Step-by-step explanation:

To express percentage as a fraction, the denominator must be 100.

Given ,

[tex]\frac{18/60}{60/60}\\= \frac{0.3}{1} \\= 0.3 * 100\\= 30%[/tex]

Answer:

1) Percent of skateboards that are longboards is 18÷60 or 30%

2) Number needed for equivalent ratio is 30 longboards

Step-by-step explanation:

1) Percentage= part divided by whole

18÷60 = 0.3

0.3 = 30%

2) Create a proportion, let x = # longboards needed for a equivalent ratio

(18÷60)=(x÷100)

x=30

Answer:

154 is the mean

Step-by-step explanation:

First, you will add up all the numbers. This will give you a total of 770, then you have to divide the number, which is 5. So 770 ÷ 5 = 154.


I Hope This Helped :D

Answer:

154

Step-by-step explanation:

You can find the mean, or average, of a data set in two simple steps:

1. Find the sum of the values by adding them all up.

2. Divide the sum by the number of values in the data set.

Answer:

11.271

Step-by-step explanation:

just multiply

Answer:

11.271

Step-by-step explanation:

Multiply

2.21 by 5.1

Answer:

B or C It depends on the definition of opposite sides

Step-by-step explanation:

Perpendicular lines bisect eachother. Parallel lines would never touch eachother.

Answer:

Step-by-step explanation:

what is the correct solution to the problem 6 x 3/8?

6 * 3/8 =

semplify

3  * 3/4 =

9/4 or 2.25

Answer:

Line segment A

Step-by-step explanation:

The apostrophe symbol represents feet.

1 meter can be converted into 3.28'

Since 5.5' > 3.28', Line segment A is larger