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2 years ago

8x-5y=-11 x intercepts y intercepts (------), (------)

Mathematics

1 answer:

noname [10]2 years ago

7 0

Answer:

x-intercept(s): ( − 11 8 , 0 )

y-intercept(s): ( 0 , 11 5 )

Step-by-step explanation:

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X =0, y>=0 Maximum for P =3x +2y

givi [52]

Answer:

day

Step-by-step explanation:

6th grade and the final grade for this semester and the

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2 years ago

Use Newton’s Method to find the solution to x^3+1=2x+3 use x_1=2 and find x_4 accurate to six decimal places. Hint use x^3-2x-2=

luda_lava [24]

Let $f(x) = x^3 - 2x - 2$ . Then differentiating, we get

$f'(x) = 3x^2 - 2$

We approximate $f(x)$ at $x_1=2$ with the tangent line,

$f(x) \approx f(x_1) + f'(x_1) (x - x_1) = 10x - 18$

The $x$ -intercept for this approximation will be our next approximation for the root,

$10x - 18 = 0 \implies x_2 = \dfrac95$

Repeat this process. Approximate $f(x)$ at $x_2 = \frac95$ .

$f(x) \approx f(x_2) + f'(x_2) (x-x_2) = \dfrac{193}{25}x - \dfrac{1708}{125}$

Then

$\dfrac{193}{25}x - \dfrac{1708}{125} = 0 \implies x_3 = \dfrac{1708}{965}$

Once more. Approximate $f(x)$ at $x_3$ .

$f(x) \approx f(x_3) + f'(x_3) (x - x_3) = \dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125}$

Then

$\dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125} = 0 \\\\ \implies x_4 = \dfrac{5,881,319,037}{3,324,107,515} \approx 1.769292663 \approx \boxed{1.769293}$

Compare this to the actual root of $f(x)$ , which is approximately <u>1.76929</u>2354, matching up to the first 5 digits after the decimal place.

4 0

1 year ago

The radius of a basketball is approximately 12. Icm. What is the volume of the basketball?

just olya [345]

Answer:

A = 4πr2

do you understand this?

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2 years ago

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The life expectancy of a circulating coin is 30 years. The life expectancy of a circulating dollar bill is only

Afina-wow [57]

Life expectancy of dollar bill = d
life expectancy of coin = c

d = 1/20 c

substitute value in for c (30)

d = 1/20 * 30
d = 30/20
d = 1.5

life expectancy of a dollar bill = 1.5 years

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2 years ago

What number is 22% of 320

Lostsunrise [7]

70.4
The word "of" means to multiply, so 22% or .22 * 320 = 70.4

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3 years ago

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