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lubasha [3.4K]
4 years ago
14

12. Find x. (2x+8) (x + 10) 138°

Mathematics
1 answer:
LUCKY_DIMON [66]4 years ago
6 0

Answer:

x = 0

Step-by-step explanation:

correct me if im wrond

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Find f. f ″(x) = x^−2, x > 0, f(1) = 0, f(6) = 0
marin [14]

If you do in fact mean f(1)=f(6)=0 (as opposed to one of these being the derivative of f at some point), then integrating twice gives

f''(x) = -\dfrac1{x^2}

f'(x) = \displaystyle -\int \frac{dx}{x^2} = \frac1x + C_1

f(x) = \displaystyle \int \left(\frac1x + C_1\right) \, dx = \ln|x| + C_1x + C_2

From the initial conditions, we find

f(1) = \ln|1| + C_1 + C_2 = 0 \implies C_1 + C_2 = 0

f(6) = \ln|6| + 6C_1 + C_2 = 0 \implies 6C_1 + C_2 = -\ln(6)

Eliminating C_2, we get

(C_1 + C_2) - (6C_1 + C_2) = 0 - (-\ln(6))

-5C_1 = \ln(6)

C_1 = -\dfrac{\ln(6)}5 = -\ln\left(\sqrt[5]{6}\right) \implies C_2 = \ln\left(\sqrt[5]{6}\right)

Then

\boxed{f(x) = \ln|x| - \ln\left(\sqrt[5]{6}\right)\,x + \ln\left(\sqrt[5]{6}\right)}

3 0
2 years ago
2
Serjik [45]

Answer:

d) 10

Step-by-step explanation:

x ÷ \frac{1}{2}  + 8 = 13

substitute 10 for x:

⇒ 10 ÷ \frac{1}{2}  + 8 = 13

solve:

1) divide 10 by \frac{1}{2}

⇒ 10 ÷ \frac{1}{2}  = 5

2) add 8 to 5

⇒ 8 + 5 = 13

8 0
3 years ago
Helppppppppppppppppppp I’ll mark you brainlist don’t respond if you’re going to put something random I will report you :)
iren2701 [21]
Alternative exterior angles
6 0
3 years ago
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The value of the dependent variable in a function is always ____ the value of the independent variable
Artyom0805 [142]

Answer:

greater

Step-by-step explanation:

3 0
4 years ago
Order 5/8, 60%, and 0.62 from least to greatest.​
svetlana [45]

Answer:

60%, 0.62, 0.625

Step-by-step explanation:

Step 1: Convert 5/8 to decimal form.

In order to convert a fraction to a decimal, we divide the numerator (top) by the denominator (bottom). By dividing 5 by 8, we can get the fraction 5/8 in decimal form, which is 0.625

Step 2: Convert 60% to decimal form.

In order to convert a percentage to a decimal, all we have to do is move the percentage's decimal point two spots to the left. Since 60% shows us no decimal point, we can assume that it comes directly after the 0, or 60.0%. After moving the decimal point two spaces to the left, we find that 60% = 0.60 in decimal form.

Step 3: Compare the numbers.

Since 0.62 is already in decimal form, we don't need to make any changes. This means that we can compare the numbers we just found as well as 0.62. Since our numbers would be 0.625 (5/8), 0.60 (60%), and 0.62, from least to greatest we would get 60%, 0.62, 0.625

7 0
3 years ago
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