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Kazeer [188]
3 years ago
15

Help me pls asap and i’ll give brainliest !! :(

Mathematics
1 answer:
san4es73 [151]3 years ago
6 0

Answer:

3

Step-by-step explanation 3

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Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
erastova [34]

Answer:

C) {6+√43, 6-√43}

Step-by-step explanation:

Applying,

x = [-b±√(b²-4ac)]/2a.................... Equation 1

From the question,

Given: a = 1, b = -12, c = 7

Substitute these values into equation 1

x = [-(-12)±√(-12²+4×1×7)]/2×1

x = [12±√(144+28)]/2

x = [12±√172]/2

either,

x = (12-√172)/2

x = (12-2√43)2

x = (6+√43)

or

x = (12+√172)/2

x = (12+2√43)/2

x = (6+√43)

Hence,

The right answer is C). {6+√43, 6-√43}

8 0
3 years ago
Determine which values of p the following integrals converge. Give your answer in each case by selecting the appropriate inequal
sashaice [31]

Answer:

Step-by-step explanation:

a)

\int\limits^2_1 {\frac{1}{x(lnx)^p} } \, dx

this can be done by substitute lnx = u

dx/x = du

When x =1, u =0 and when x =2, u = ln 2

So integral = \int\limits^{ln2} _0 {du/u^p} \\\=\frac{u^{-p+1} }{-p+1}

We find that this integral value is not definid for p =1

Hence for values of p other than 1, this converges.

When we substitute limits

\frac{1}{1-p} ((ln2)^{1-p} -1)

and converges for p ≠1

b) \int\limits^1_0 {lnx}/x^p \, dx \\\int \frac{\ln \left(x\right)}{x^p}dx=\frac{1}{-p+1}x^{-p+1}\ln \left(x\right)-\frac{x^{-p+1}}{\left(-p+1\right)^2}+C

So not converging for p =1

But ln x is defined only for x >0

So integral 0 to 1 makes this integral not valid and hence not convergent.

7 0
4 years ago
The path of water from a hose on a fire tugboat can be approximated by the equation y=-0.0055x^2 +1.15x + 5, where y is the heig
Komok [63]

Answer:

The water is 208.22ft from the tug boat

Step-by-step explanation:

The governing equation is y=-0.0055x^2 +1.15x + 5

y is the height above the ocean

x is the distance from the tugboat

if y= 6ft, the equation will now become

6=-0.0055x^2 +1.15x + 5

we can arrange this properly to form a quadratic equation by grouping like terms.

-0.0055x^2 +1.15x -1=0

solving quadratically we have two values of x as  208.22ft and 0.873 ft.

We can take a more realistic value as a solution to our problems:

208.22ft

6 0
4 years ago
How can I Simplify 13⁰ this ​
Brut [27]
The answer is 1. Please mark brainelist
4 0
3 years ago
Read 2 more answers
PLS HELP BEST ANSWER=BRAINLIEST
8_murik_8 [283]

Answer:

a-2=a-2

Step-by-step explanation:

Here it is, you just have to notice that the numerator has common factors alternated. You will then collect the same parentheses and simplify with the denominator.

5 0
3 years ago
Read 2 more answers
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