Evaluate the expression.
C(9,8)

Answer:

20%

Step-by-step explanation:

6.25 times 20% or 0.2 = 1.25. therefore she tipped the sever 20% of the total cost of her meal.

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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Answer:

n = -(13/4) or -3.25(In decimal form)

Step-by-step explanation:

-(5/2) = (3/4) + n

-(5/2) - (3/4)

n = -(13/4)

Answer:

Option:C 2/3

Equation= y=2/3x-5

Answer:

2/3

Step-by-step explanation:

to find slope m, use this method

m=(y2-y1)/(z2-x1)

therefore m=(1-(-7))/((9-(-3))

m=8/12.

m=2/3

Answer:

Let's denote:

- The number of orders Diane served as `D`

- The number of orders Sam served as `S`

- The number of orders Boris served as `B`

From the problem, we know:

1. `D + S + B = 54` (the total number of orders they served)

2. `D = S - 6` (Diane served 6 fewer orders than Sam)

3. `B = 2S` (Boris served 2 times as many orders as Sam)

We can substitute equations 2 and 3 into equation 1 to solve for the variables:

Substitute `D` and `B` in equation 1:

`(S - 6) + S + 2S = 54`

Combine like terms:

`4S - 6 = 54`

Add 6 to both sides:

`4S = 60`

Divide by 4:

`S = 15`

Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:

`D = S - 6 = 15 - 6 = 9`

`B = 2S = 2 * 15 = 30`

So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.

Answer:

a:b

3:7

Step-by-step explanation:

a:b  also means a/b

Taking the equation

7a = 3b

Dividing each side by b

7a/b = 3b/b

7 a/b = 3

Divide each side by 7

a/b = 3/7

The ratio is 3/7

a:b

3:7

Answer:

a:b = 3/7

Step-by-step explanation:

we need to find the ratio a:b which is the same as a/b.

7a=3b

Devide left and right of the = sign by b gives

7a/b = 3 * b/b

7a/b = 3 * 1

7a/b = 3

Multiply left and right of the = sign by 1/7 gives

1/7 * 7a/b = 1/7 * 3

7/7 * a/b = 3/7

1 * a/b = 3/7

a/b = 3/7

Since a/b is the same as a:b, we now have the answer.

a:b = 3/7

Yes , it is true that two pairs of adjacent sides of a kite are equal .

A quadrilateral with two pairs of adjacent sides equal in length is called a kite. Kites also have one pair of opposite angle equal as shown in the figure below.

Hence , the given statement is true .

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The options given are correct formulas and should use the distributive law √5(√7-√2) for simplicity.

(√5+√2)(-√7)

distribution characteristics

Given integers A, B, and C. According to the distributive law,

A(B + C) = AB + AC

From the formula we can see that A is distributed over B and C.

Therefore, the sum of the coefficients and terms must be in the parentheses of the distribution properties. Based on the options given, the correct formulas that should use the distribution characteristics for simplicity are √5(√7-√2) and

(√5+√2)(-√7)

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Answer:

c^3 + c^2 =

c^2(c^1 + 1) =

c^2(c+1)

Hello!

Factorise:

\(\bf{c^{3} +c^{2} }\)

In order to factorise a polynomial, we need to find the common term and factor it out.

In this case, the common term is \(\bf{c^{2}\).

Now, divide both terms by \(\bf{c^{2}\):

(c+1)

Put \(\bf{c^{2}\) outside the parentheses:

\(\bf{c^{2} (c+1)\)

Final Answer:

\(\bf{c^{2} (c+1)\)

I hope it helps you.

Good luck and enjoy your day!

-SnowFlake

1. An equation that represents "the amount of tax on an item of price p",

t = p x X / 100

2. Marta does pay on an item whose price is $20, $1.6

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

Given that,

Tax rate = 8%

1. Let's assume that the sales tax rate is X%.

Then, the equation that represents the amount of tax (t) Marta pays on an item whose price is p can be written as:

t = p x X / 100

2. If the price of the item is $20, the amount of tax Marta pays can be calculated as follows:

t = $20 x X / 100

t = $20 x 8 / 100

t = $1.6

So, Marta pays $1.6 in sales tax on an item whose price is $100.

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Answer:

Your answer is 468

Step-by-step explanation:

390% of 120 = 468

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

\(\r p_w = 0.78\)

b

\(\r p_m = 0.60\)

c

\(0.08 \ to \ 0.28\)

d

Yes, This is because on the interval the two are positive

Step-by-step explanation:

From the table  the point estimate of the proportion of women who trust recommendations made on Pinterest is mathematically evaluated as

          \(\r p_w = \frac{117}{150}\)

          \(\r p_w = 0.78\)

From the table  the point estimate of the proportion of men who trust recommendations made on Pinterest  is mathematically evaluated as

          \(\r p_m = \frac{102}{170}\)

          \(\r p_m = 0.60\)

Generally  95% confidence interval estimate of the difference between the proportion of women and men who trust recommendations made on Pinterest is mathematically represented as

         \(C= \r p_w - \r p_m \pm Z_{\frac{1-0.95}{2} } \sqrt{ \frac{\r p (1- \r p)}{n_w} + \frac{\r p_m (1- \r p_m)}{n_m} }\)

Where

          \(Z_{\frac{1-0.95}{2} }\)  is the is the z-statistic value of level of significance of a two-tail test  

   =>   \(Z_{\frac{0.05}{2} } = 1.96\) this is obtained from the the z-table

and  \(n_m , n_w\) are the sample size of the men and the women

 So  substituting values from table in the question

        \(C= 0.78 -0.60 \pm 1.96 \sqrt{\frac{ 0.78(1-0.78)}{150} + \frac{0.60 (1-0.60)}{170} }\)

       \(C= 0.18 \pm 0.10\)

So  the 95% confidence interval is  

    \(0.08 \ to \ 0.28\)

The true statement is that: if you cannot get from one term to the next by adding or multiplying by a constant value, the sequence is neither arithmetic nor geometric

A progression can either be arithmetic, geometric or neither.

If the above are not true, then the sequence is neither arithmetic nor geometric

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Step-by-step explanation:

ur right because y is pumpkin 3 is the slope and x is the apple

Answer:

Integer & Rational

Step-by-step explanation:

It is not a whole number.

And integer is a negative number.

A rational number is a number that can be transformed into a fraction. \(\frac{3709}{1000}\)

Hope this helps!

Answer:

10 grams

Step-by-step explanation:

200 x 5 = 1000

If we move the decimal over two places left we get :

10.00

That means that there are 10 grams of sugar in 200 grams of 5% sugar syrup

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Have a nice day.

Answer:

  1/7^2

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

__

Then your expression simplifies to ...

  \(7^3\cdot 7^{-5}=7^{3-5}=7^{-2}=\boxed{\dfrac{1}{7^2}}\)

Answer:

The answer is 1/7^2

Step-by-step explanation:

I took the test lol

5

1) Since this is a line of best fit, actually we are going to find an approximation for that.

2) Locating two points along the line, we've got (1,30) and (7,60) so let's find the rate of change:

So, the rate of change relative to the scatter plot is 5

Answer:

8 pigs

Step-by-step explanation:

Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.

Suppose all animals are chickens.

Total no. of feet = 26 chickens × 2 feet

                           = 52 feet

Difference in total no. of feet = 68 feet - 52 feet

                                                = 16 feet

Difference in no. of feet each animal has

= 4 feet (a pig) - 2 feet (a chicken)

= 2 feet

∴ No. of pigs = 16 feet ÷ 2 feet

                      = 8 pigs

\(10k + 7k2 + 4k2 - 6k \\ 10k + 14 + 4k \\ = 14k + 14\)

your welcome and give me brainlest

The correct value in its simplified form 32 = 32

So that we can write this expression in its correct form - it's just multiplying the terms outside the parentheses - for the terms that are inside the symbol.

4( 5 + 3 ) = 2( 22 - 6 )

4 · 5 + 4 · 3 = 2 · 22 - 2 · 6

20 + 12 = 44 - 12

32 = 32

Therefore, the correct simplified form of this question is 32 = 32. So, the equality is true.

9514 1404 393

Answer:

  20 -x

Step-by-step explanation:

Relative to the shore, the speed of the current subtracts from the speed of the boat. The net upstream speed is ...

  20 -x . . . . miles per hour

Answer: 1

Step-by-step explanation:

Answer:

\(A = 25\pi\)  or  25 × 3.14 = 78.5m

Step-by-step explanation:

The radius is half of the diameter. So the radius = 5m  (10/2)

\(A = \pi r^{2}\)

\(A = \pi (5^{2} )\)

\(A = 25\pi\)

Answer:

D

Step-by-step explanation:

Because it is on the outside

Answer:

its c becuase i did the test and got it correctomonzo

Step-by-step explanation:

It might be 2 not 100 percent sure

Answer:

isosceles (based on sides) and right triangle (based on angles)

Step-by-step explanation:

This is an isosceles triangle because two of the sides are the same distance (it is in cm.). This is also a right triangle because at point B the two lines are perpendicular (using their slopes).

The length of VX is approximately 9.4 yd.

The area of the triangle is approximately 56.4 yd².

The area of triangle = 1/2 * base * height.

To find the area of the triangle, we have to determine its height which is the length of VX.

Apply the sine ratio to find the length of VX:

sin 70 = opposite/hypotenuse

sin 70 = VX/10

10 * sin 70 = VX

VX ≈ 9.4 yd.

The area of triangle = 1/2 * base * height = 1/2 * 12 * 9.4

= 56.4 square yards

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Answer:

Step-by-step explanation:

\(\frac{9-3y}{1-9y} = \frac{8}{5}\)

do cross multiplication

\(5(9 - 3y) = 8(1 - 9y)\\45 - 15y = 8 - 72y\\45 - 8 = -72y + 15y\\37 = -57y\\\frac{37}{-57} = y\)

Answer:

Step-by-step explanation:

\(3(3−y) \times 5=(1−9y) \times 8\)

\(45−15y=(1−9y) \times 8\)

\(45−15y=8−72y\)

\(45+57y=8\)

\(57y=8−45\)

\(57y=−37\)

Answer:

0.8 and 0.9

Step-by-step explanation:

rounded to the tenths, its 0.7

so 0.8 and 0.9 are the smallest and largest number