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mel-nik [20]
4 years ago
13

Anyone know how to do this kind of algebra? 

Mathematics
1 answer:
katovenus [111]4 years ago
3 0
<u>\Delta_A=5^2-4\cdot3\cdot1=25-12=13\\&#10;\Delta_B=(-5)^2-4\cdot3\cdot1=25-12=13\\

</u>Both discriminants are equal.<u>
</u>
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What are the discontinuities of the function f(x) = the quantity x squared minus 16 over the quantity 4x plus 24?
Ivanshal [37]
The first thing we should do is write the function:
 (x ^ 2-16) / (4x + 24)
 This function represents a discontinuity in the x that make the denominator zero.
 We have then
 4x + 24 = 0
 x = -24 / 4 = -6
 answer
 the discontinuities of the function f (x) is x ≠ - 6
3 0
3 years ago
Read 2 more answers
A solid object in the shape of a cylinder is shown below.
lozanna [386]

Answer:

0.08\ kg/m^3

Step-by-step explanation:

Density is defined as mass of an object divided by its volume.

#We calculate the volume of the cylinder:

V=\pi r^2 h, r=D/2=6/2=3\ cm\\\\=3.14\times 3^2\times 7\\\\=197.82\ m^3

Given the mass= 15.3kg and volume as above, we calculate density as:

\rho=\frac{Mass}{Volume}\\\\=\frac{15.3\ kg}{197.82\ m^3}\\\\=0.0773\approx 0.08\ kg/m^3

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4 0
4 years ago
Show the work please and thanks
sineoko [7]

Answer:40( fourty) is the answer

Step-by-step explanation:

4 0
3 years ago
Function f is differentiable and decreasing for all real numbers. If y=f(2x^3 - 3x^2), for which of the following intervals of x
vichka [17]

Answer:

The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.

4 0
3 years ago
The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000
mel-nik [20]

Answer:

0.018 is the required probability.              

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 60,000 miles

Standard Deviation, σ = 1500 miles

We are given that the distribution of tread life is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(brand will last between 56,850 miles and 57,300 miles)

P(56850 \leq x \leq 57300) = P(\displaystyle\frac{56850 - 60000}{1500} \leq z \leq \displaystyle\frac{57300-60000}{1500}) = P(-2.1 \leq z \leq -1.8)\\\\= P(z \leq -1.8) - P(z < -2.1)\\= 0.0359 - 0.0179 = 0.018= 1.8\%

P(56850 \leq x \leq 57300) = 1.8\%

0.018 is the probability a certain tire of this brand will last between 56,850 miles and 57,300 miles.

7 0
4 years ago
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