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alukav5142 [94]

2 years ago

13

Maritza says that the number y is equal to 5 less than -5 times x. Which of the following equations could be used to find the va

lue of y?

1 answer:

Vsevolod [243]2 years ago

5 0

Answer:

y= -5x-5

Step-by-step explanation:

Y is equal to 5 less than -5 times x, which means it is 5 less than -5x.

If y is 5 less than -5x, that means it is equal to -5x-5.

If you were to put that in an equation, it would be y= -5x-5

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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

2 years ago

Draw a number line from 600 to 700 with tick marks at every 20 numbers

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5 0

3 years ago

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Elis [28]

Answer:

The total number of registered doctors was 192,473.

Step-by-step explanation:

This question can be solved using a rule of three.

53700 is 27.9% = 0.279. The total number of registered doctors is x, which is 100% = 1. So

53700 doctors - 0.279

x doctors - 1

$0.279x = 53700$

$x = \frac{53700}{0.279}$

$x = 192473.11$

Rounding to the nearest whole number.

The total number of registered doctors was 192,473.

5 0

3 years ago

How do I solve this math problem?<br><br> M <br> — = -3 <br> 4

harina [27]

-12

Step-by-step explanation:

We know 12 divided by 4 is 3 so the same is so in the negatives

6 0

3 years ago

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In art class,Kerion is coloring a pattern where half of the squares on her paper are being colored blue. Of the blue squares,1/3

kolbaska11 [484]

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answer
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3 years ago