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3 years ago

What is the value of the sum -3/8 + 5/16 will give brainlyiest

Mathematics

1 answer:

katovenus [111]3 years ago

3 0

Answer:

-3/8+5/16

lcm first

the lcm is 16

now 16÷8×-3 + 16÷16×5

2×[-3]+1×5 all over 16

i.e -6+5/16

-1/16

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Find the slope of the line containing the points (7,5) and (9,5).

svet-max [94.6K]

Answer:

$\frac{2}{4}$

Step-by-step explanation:

Remember that in order to find the slope of two points you need to substitute the variables and subtract making sure you keep the 2's and the 1's together.

$m=\frac{y2-y1}{x2-x1}$

Plugin your numbers:

$=\frac{7-5}{9-5}$

$7-5=2$

$9-5=4$

$=\frac{2}{4}$

Hope this helps.

5 0

3 years ago

Read 2 more answers

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

If the rate of change (ROC) of the function is quadratic, what is the function type ? Choose the correct answer.

evablogger [386]

If the rate of change (ROC) of the function is quadratic, then the function type is cubic

<h3>What is rate of change?</h3>

The rate of change of a function is the rate at which the output values change over the input value

The rate of change of a function is one degree less than the actual function

This means that, a cubic function will have a quadratic rate of change

Hence, the correct option is (d)