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3 years ago

What is y=4(x+1)^2-4 in standard form

Mathematics

1 answer:

just olya [345]3 years ago

6 0

Answer:

Step-by-step explanation:

(a + b)² = a² + 2ab + b²

(x + 1)² = x² +2*x*1 + 1² = x² + 2x + 1

y = 4(x+1)² - 4

y = 4(x² + 2x + 1) - 4

y = 4*x² + 4*2x + 4*1 -4

y = 4x² + 8x + 4 - 4

y = 4x² + 8x

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Recall that Rn denotes the right-endpoint approximation using n rectangles, Ln denotes the left-endpoint approximation using n r

pogonyaev

Answer:

$R_5=1.12$

Step-by-step explanation:

We want to calculate the right-endpoint approximation (the right Riemann sum) for the function:

$f(x)=x^2+x$

On the interval [-1, 1] using five equal rectangles.

Find the width of each rectangle:

$\displaystyle \Delta x=\frac{1-(-1)}{5}=\frac{2}{5}$

List the x-coordinates starting with -1 and ending with 1 with increments of 2/5:

-1, -3/5, -1/5, 1/5, 3/5, 1.

Since we are find the right-hand approximation, we use the five coordinates on the right.

Evaluate the function for each value. This is shown in the table below.

Each area of each rectangle is its area (the y-value) times its width, which is a constant 2/5. Hence, the approximation for the area under the curve of the function f(x) over the interval [-1, 1] using five equal rectangles is:

$\displaystyle R_5=\frac{2}{5}\left(-0.24+-0.16+0.24+0.96+2)= 1.12$

3 0

3 years ago

H is between points Q and R. QH=23 and HR=12. What is the length of QR

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

Given:

GH = 23

HR = 12

Required:

Length big QR

SOLUTION:

Since H is a point in between points Q and R, points Q, H, R are collinear.

QH = 23

HR = 12

QH + HR = QR (segment addition postulate)

23 + 12 = QR (substitution)

35 = QR

Therefore, the length of QR is 35

3 0

3 years ago

1/3 of 3/4 = ____ fourth(s)

SashulF [63]

Answer:

0.99

Step-by-step explanation:

.33 x .75 = .2475 or 0.99/4

6 0

3 years ago

Which properties were used to prove that the expressions 7 x + 4 minus x minus 2 and 6 x + 2 are equivalent?

maxonik [38]

I believe is A and D or something

8 0

3 years ago

The ratio of the volume of soda in glass A to the volume of glass B is 8/3 to 7/2

MrRa [10]

Answer:

Total volume in the two glasses is 740 mL.

Step-by-step explanation:

Given:

Ratio of the volume of soda in glass A to the volume of glass B = 8/3 : 7/2

Volume of soda in glass A = 320mL

To Find :

The total volume in the two glasses = ?

Solution:

Let the volume of soda in glass B be x

then

$\text{ratio of soda in glass A} \times \text{ the volume of soda in glass B} = \text{ratio of soda in glass B} \times \text{ the volume of soda in glass A}$