Elsy with cut 8 pies into pieces that are 1/6 of the whole. After she cuts the 8 pies, how many pieces will elsy have?

What number increased by 7 equals two times the number? 6 7 8 9 11

Julli [10]

Answer:

7

Step-by-step explanation:

7 plus 7 equals 14, which is two times 7

8 0

3 years ago

Read 2 more answers

3.A normal bus carries x passengers.

erastovalidia [21]

Answer: A) 4x -8 = 128

Step-by-step explanation:

We will represent the amount that the normal bus carries by n= x

We will represent the amount that the large bus carries by l = 2x

We will also represent the amount that the small bus carries by s = x-8

Now add them to equal to 128.

x + 2x + x -8 = 128

4x -8 = 128

6 0

3 years ago

Which formula would you enter into D3, and then AutoFill into D4 to D6, to calculate the winning percentage (Pct.) for the teams

Veseljchak [2.6K]

Answer:
Formula to calculate percentage are=
Winning match/total match *100
And copy paste formula of VLOOKUP in to desire cell formula bar.
Example in spreadsheet :
Winning match=A5
Total match=A6
Write formula in cell D3:
=(A5/A6)*100
And write formula of VLOOKUP into cell D4-D6 to retrieve data from desire cell.

3 0

3 years ago

Use the definition of taylor series to find the taylor series (centered at

Alexxandr [17]

Cos(x) is infinitely differentiable, can be expanded using Taylor's series.
The series about c can be expressed as
$f(x)=\sum_{n=0}^{\infty}\frac{f^{n}(c)}{n!}(x-c)^n$
Substituting cos(x), c= π /4,we have
$cos(x)=\sum_{n=0}^{\infty}\frac{f^{n}(\frac{\pi}{4})}{n!}(x-\frac{\pi}{4})^n$
and since
$f'(\frac{\pi}{4})=-sin(\frac{\pi}{4})=-\sqrt{2}/2$
$f"(\frac{\pi}{4})=-cos(\frac{\pi}{4})=-\sqrt{2}/2$
$f^{(iii)}(\frac{\pi}{4})=sin(\frac{\pi}{4})=\sqrt{2}/2$
$f^{(iv)}(\frac{\pi}{4})=cos(\frac{\pi}{4})=\sqrt{2}/2$

we can simplify the expansion to
$cos(x)=\frac{\sqrt{2}}{2}(1-(x-\frac{\pi}{4})/1!-(x-\frac{\pi}{4})^2/2!+(x-\frac{\pi}{4})^3/3!+(x-\frac{\pi}{4})^4/4!-(x-\frac{\pi}{4})^5/5!-...)$
Note that the sign pattern is - - + + - - + + - - ..... following the sign pattern of the derivatives of cos(x).

5 0

3 years ago

find the vertex of the quadratic passing through the point f(3/2)=9, has an x-intercept of 3 and the axis of symmetry is x=2

3241004551 [841]

The vertex of the quadratic is (2 , 12)

Step-by-step explanation:

The vertex form of the quadratic function is f(x) = a(x - h)² + k, where

(h , k) are the coordinates of its vertex
Its axis of symmetry is a vertical line at x = h
its minimum value is f(x) = k at x = h

∵ The function of quadratic

∴ f(x) = a(x - h)² + k

∵ The axis of symmetry of the function is x = 2

∵ The axis of symmetry of a quadratic function is a vertical line at x = h

∴ h = 2

- Substitute h by 2 in f(x)

∴ f(x) = a(x - 2)² + k

∵ The quadratic passing through the point f(3/2) = 9

- That means the coordinates of the point are $(\frac{3}{2},9)$

∴ x = $\frac{3}{2}$ and y = 9

- Substitute x and y in the equation by the values above

∴ 9 = a( $\frac{3}{2}$ - 2)² + k

∴ 9 = a( $\frac{-1}{2}$ )² + k

∴ 9 = $\frac{1}{4}$ a + k

- Multiply each term by 4

∴ 36 = a + 4 k

∴ a + 4 k = 36 ⇒ (1)

∵ x intercept of f(x) = 3

- That means the graph of f(x) intersects x-axis at point (3 , 0)

∴ x = 3 and y = 0

- Substitute x and y in the equation by the values above

∴ 0 = a(3 - 2)² + k

∴ 0 = a(1)² + k

∴ 0 = a + k

∴ a + k = 0 ⇒ (2)

Now we have system of equation let us solve it to find k

∵ a + 4 k = 36 ⇒ (1)

∵ a + k = 0 ⇒ (2)

- Subtract equation (2) from equation (1) to eliminate a

∴ 3 k = 36

- Divide both sides by 3

∴ k = 12

∵ (h , k) are the coordinates of the vertex of the quadratic function

∴ (2 , 12) are the coordinates of the vertex of the quadratic function

The vertex of the quadratic is (2 , 12)

Learn more:

You can learn more about quadratic in brainly.com/question/9390381

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4 0

4 years ago