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2 years ago

Given that f(x) = 2x − 5, find the value of x that makes f(x) = 15. (5 points)

Mathematics

1 answer:

Marina86 [1]2 years ago

4 0

Plug each one in. you will find that x need to equal 10 to get f(x) to equal 15

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What is the greatest common factor of 60 and 72

Tcecarenko [31]

Well there both even numbers so the gcf factor would have to be even also

60 = 1,2,3,4,5,6,10,12,15,20,30,60

72 = 1,2,3,4,6,8,9,12,18,24,36,72

The Gcf would be 12

3 0

3 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

Each music class sings 8 songs a week. How. Many songs does each class sing in 5 weeks 6 weeks 7 weeks

crimeas [40]

Answer:

40, 48, 56

Step-by-step explanation:

8x5 is 40

8x6 is 48

8x7 is 56

I hope this helps have a good day

7 0

3 years ago

Identify the solutions of the inequality 11 ≤ p + 5.

ale4655 [162]

<span>all real numbers greater than or equal to 6 </span>

4 0

3 years ago

4(-5.4) SHOW WORK PLS

Nana76 [90]

Answer:

-21.6

Step-by-step explanation:

-5.4

x 4 4x 4=16 so you carry the one to 5x4= 20 + 1 that was carried

-------- keep it negative

-21.6

6 0

2 years ago