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dybincka [34]
2 years ago
13

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
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
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
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