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Alex73 [517]
3 years ago
10

Which of the following is the solution to the inequality?

Mathematics
1 answer:
tankabanditka [31]3 years ago
3 0

Answer:

y > 4x - 3 = y + 3  > 4x \\ let \: take \: (0.0) \\ 0 + 4 > 4 \times 0 \\ 4 > 0 \\ solution = (0.0)

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Feet i think, thats how they lable the size of a home when your buying
im not 100% sure though

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3 years ago
If a line has a slope of 2 and contains the point (-2, 1), what is its equation in point-slope form?
Ivanshal [37]
Point slope form is y-y1= m(x-x1) where m is slope and y1 and x1 are the x and y of the coordinate given.

y-1= 2(x-(-2))
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Final answer: y-1= 2(x+2)
8 0
3 years ago
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
Carpenter Chalberg is building a new wall in his house. The wall is 8 feet long and 8 feet tall. The wall will be framed with wo
klemol [59]

9514 1404 393

Answer:

  9

Step-by-step explanation:

For studs 16" O.C., Chalberg will need 9: one at the beginning of each of the 16" spaces in the 96" width of the wall, and one at the end. That's a total of 6+1 = 7 studs.

The top and bottom edges of the wall are each 8', so will require 1 more board each.

The total number of boards Chalberg needs is 9.

5 0
3 years ago
Number system study guide
maria [59]
But there is no problem here
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3 years ago
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