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3 years ago

Determine the smallest integer value of xx in the solution of the following inequality. −3x+10≤5

Mathematics

1 answer:

MAXImum [283]3 years ago

3 0

Answer:

Step-by-step explanation:

-3x ≤ -5

if we divide for a negative number we have to change the sign of the inequality

x ≥ 5/3

5/3 = 1,666

so the nearest integer number is 2

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Bob can make 7 quilts with 21 yards of material. How many yards of material would be required to make 10 quilts

Katyanochek1 [597]

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4 years ago

Kaden, Keith, and Kipp compete in a series of daily 3-way races. For each race, the probability that Kaden wins is 1/6, the prob

BlackZzzverrR [31]

9514 1404 393

Answer:

3/5

Step-by-step explanation:

Let a, b, c represent the probability of a win by Kaden, Keith, and Kipp, respectively.

P(bc' | a') = P(a'bc')/P(a')

P(bc' | a') = (1/2)/(1 -1/6) = (3/6)/(5/6) = 3/5

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3 years ago

Write a number with a 8 in the hundredths place

boyakko [2]

201.08

I think that would work.

5 0

3 years ago

Read 2 more answers

Help needed on this composition math problem

Marrrta [24]

Given that f(x) = x/(x - 3) and g(x) = 1/x and the application of function operators, f ° g (x) = 1/(1 - 3 · x) and the domain of the resulting function is any real number except x = 1/3.

<h3>How to analyze a composed function</h3>

Let be f and g functions. Composition is a binary function operation where the variable of the former function (f) is substituted by the latter function (g). If we know that f(x) = x/(x - 3) and g(x) = 1/x, then the composed function is:

$f\,\circ\,g \,(x) = \frac{\frac{1}{x} }{\frac{1}{x}-3}$

$f\,\circ\,g\,(x) = \frac{\frac{1}{x} }{\frac{1-3\cdot x}{x} }$

$f\,\circ\,g\,(x) = \frac{1}{1-3\cdot x}$

The domain of the function is the set of x-values such that f ° g (x) exists. In the case of rational functions of the form p(x)/q(x), the domain is the set of x-values such that q(x) ≠ 0. Thus, the domain of f ° g (x) is $\mathbb{R} - \{\frac{1}{3} \}$ .

To learn more on composed functions: brainly.com/question/12158468

#SPJ1

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2 years ago

Explain how Cavalieri’s principle can be used to find the volume of any solid.

Kruka [31]

Answer:

Cavalier's principle can be used to find the volume of any solid.

Step-by-step explanation:

Cavalier's Principle:

Cavalier introduced parallel planes and area to describe the relationship between solids.
Cavalier stated if two solids have the same height and equal areas of the base everywhere along the height then the solids have the same volume.

Suppose two regions are included between two parallel planes.
If every plane parallel to these two planes intersects both regions in cross-sections of equal area, then the two regions have equal volumes.
The formula for the volume of a prism is the area of the base times the height.

8 0

3 years ago