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2 years ago

Which statement describes the effect on the parabola with an equation of y = x2 – 2x when it is changed to y = x2 + 2x?

Mathematics

2 answers:

spayn [35]2 years ago

6 0

Answer:

A. The parabola is shifted to the left 2 units.

Step-by-step explanation:

Refer to the graph below where the red parabola is y=x²-2x and the blue parabola is y=x²+2x, showing a horizontal shift of two units to the left.

erma4kov [3.2K]2 years ago

5 0

Answer:

561-566 and the other one I was talking to about this one you had matching the name and I was wondering what the price

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I need help with question 2. Anything is appreciated:)

Ivahew [28]

1x + 8 = 10 + 0.5x

1x - 0.5x = .5x

.5x + 8 = 10

10 - 8 = 2

2/.5 = 4

Therefore, it will take 4 years for the two trees to have grown to the same height.

6 0

3 years ago

Read 2 more answers

Find the Fourier series of f on the given interval. f(x) = 1, ?7 < x < 0 1 + x, 0 ? x < 7

Zolol [24]

$f(x)=\begin{cases}1&\text{for }-7$

The Fourier series expansion of $f(x)$ is given by

$\dfrac{a_0}2+\displaystyle\sum_{n\ge1}a_n\cos\frac{n\pi x}7+\sum_{n\ge1}b_n\sin\frac{n\pi x}7$

where we have

$a_0=\displaystyle\frac17\int_{-7}^7f(x)\,\mathrm dx$
$a_0=\displaystyle\frac17\left(\int_{-7}^0\mathrm dx+\int_0^7(1+x)\,\mathrm dx\right)$
$a_0=\dfrac{7+\frac{63}2}7=\dfrac{11}2$

The coefficients of the cosine series are

$a_n=\displaystyle\frac17\int_{-7}^7f(x)\cos\dfrac{n\pi x}7\,\mathrm dx$
$a_n=\displaystyle\frac17\left(\int_{-7}^0\cos\frac{n\pi x}7\,\mathrm dx+\int_0^7(1+x)\cos\frac{n\pi x}7\,\mathrm dx\right)$
$a_n=\dfrac{9\sin n\pi}{n\pi}+\dfrac{7\cos n\pi-7}{n^2\pi^2}$
$a_n=\dfrac{7(-1)^n-7}{n^2\pi^2}$

When $n$ is even, the numerator vanishes, so we consider odd $n$ , i.e. $n=2k-1$ for $k\in\mathbb N$ , leaving us with

$a_n=a_{2k-1}=\dfrac{7(-1)-7}{(2k-1)^2\pi^2}=-\dfrac{14}{(2k-1)^2\pi^2}$

Meanwhile, the coefficients of the sine series are given by

$b_n=\displaystyle\frac17\int_{-7}^7f(x)\sin\dfrac{n\pi x}7\,\mathrm dx$
$b_n=\displaystyle\frac17\left(\int_{-7}^0\sin\dfrac{n\pi x}7\,\mathrm dx+\int_0^7(1+x)\sin\dfrac{n\pi x}7\,\mathrm dx\right)$
$b_n=-\dfrac{7\cos n\pi}{n\pi}+\dfrac{7\sin n\pi}{n^2\pi^2}$
$b_n=\dfrac{7(-1)^{n+1}}{n\pi}$

So the Fourier series expansion for $f(x)$ is

$f(x)\sim\dfrac{11}4-\dfrac{14}{\pi^2}\displaystyle\sum_{n\ge1}\frac1{(2n-1)^2}\cos\frac{(2n-1)\pi x}7+\frac7\pi\sum_{n\ge1}\frac{(-1)^{n+1}}n\sin\frac{n\pi x}7$

3 0

2 years ago

Benjamin buys a candy apple that was on sale for 20% off he paid with a five dollar bill and received 1.80 dollars in change wha

seraphim [82]

Answer:2.2

Step-by-step explanation:

3 0

3 years ago

Hello please help with the following i've been up all night i need help(SHOW WORK):

gladu [14]

1) 462/11= 42

42x7=294

2) 9.38/7= $1.34

3) 6/11= 0.54545454545455

4) 1/4= 0.25

2/9= 0.22222222222

3/10= 0.30

2/1= 2.00

1/5= 0.20

least to greatest- 1/5, 2/9, 1/4, 3/10, 2/1

5) 9/15= 0.6 > 60%

to turn into a percent, move 2 decimal places!

6) 10/4= 2.5

2.5x18= 45

7) 2/3= 0.66666666666

0.66666666666x7= 4.66666666667

5 0

2 years ago

BEST GETS BRAINLEST.

sashaice [31]

We know that the given side lengths are x and the height is x.

Therefore, the area of the base = $A = x * x$

$Formula =\ \textgreater \ volume = length*width*height
$

$To \ find \ the \ volume \ of \ 1 \ slab, \ multiply \ by \ the \ height$ $x -3$

$= x*x*(x-3)$

$Volume \ of \ 25 \ slabs =$ $25*x^2*(x-3)=350000$

$350,000/25 = 14,000$ 

$x^3 - 3x^2 - 14000$ 

$= 25.14$

 $
Rounded => x=25$

8 0

2 years ago

Read 2 more answers