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4 years ago

What are the points of intersection of the following functions? F(x)=3x+6 and g(x)=2x^2-3

Mathematics

1 answer:

Dvinal [7]4 years ago

8 0

Answer:

(3,15) and (-1.5, 1.5)

Step-by-step explanation:

If g(x) = 2x² - 3

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A nautical mile is the unit of length used in sea and air navigation. A

Arte-miy333 [17]

Answer:

86.82%

Step-by-step explanation:

A nautical mile = 6,174 feet.

Statute mile =5,360 feet

The percentage of a statute mile to a nautical mile is calculated as:

5360/6174 × 100

= 0.8681567865 × 100

= 86.81567865%

Approximately to the nearest hundredth = 86.82%

Therefore, the percent of a statute mile that is a nautical mile rounded to the nearest hundredth is 86.82%

8 0

4 years ago

Whats balance fe+30^2 >fe^2O^3

blsea [12.9K]

Answer:

You are given:

4Fe+3O_2 -> 2Fe_2O_3

4:Fe:4

6:O_2:6

You actually have the same number of Fe on both sides, The same is true for O_2 so yes this equation is properly balanced.

For added benefit consider the following equation:

CH_4+O_2-> CO_2+2H_2O

ASK: Is this equation balanced? Quick answer: No

ASK: So how do we know and how do we then balance it?

DO: Count the number of each atom type you have on each side of the equation:

1:C:1

4:H:4

2:O:4

As you can see everything is balanced except for O To balance O we can simply add a coefficient of 2 in front of O_2 on the left side which would result in 4 O atoms:

CH_4+color(red)(2)O_2-> CO_2+2H_2O

1:C:1

4:H:4

4:O:4

Everything is now balanced.

Step-by-step explanation:

5 0

3 years ago

Can someone help me on three? please and thank you!!!!

inn [45]

Answer: any number that’s not already used

Step-by-step explanation: It could be any number as long as it hasn’t already been used in that data set. Mode is the most occurring value, and there’s no mode when all numbers are different. Hope this helped;)

3 0

3 years ago

What is the domain of the function f(x) = 5x+2 when the range is {6, 8, 12}

Elan Coil [88]

The domain of the function are {0.8,1.2,2}

3 0

3 years ago

A botanist wishes to estimate the mean number of seeds for a certain fruit. She samples 11 specimens and finds the average numbe

Aliun [14]

Answer:

a)The 98% of confidence intervals are

Lower bound of CI = 47 -3.82436 = 43.1756

Upper bound of CI = 47 + 3.82436 = 50.8243

b) The conditions are required for the validity of the interval

A) μ known

Step-by-step explanation:

Explanation:-

The given sample size is 'n' =11

Given the average number of seeds is 47 with a standard deviation of 7

Sample mean (x⁻) = 47

Standard deviation (S) = 7

The 98% of confidence intervals are

$(x^{-} - t_{0.02} \frac{S}{\sqrt{n} } , x^{-} + t_{0.02}\frac{S}{\sqrt{n} } )$

$(47 - t_{0.02} \frac{7}{\sqrt{11} } , 47+ t_{0.02}\frac{7}{\sqrt{11} } )$

The degrees of freedom = n-1 =11-1 =10

t₀.₀₂= 1.812 ( from t - table)

now the intervals are

$(47 - 1.812 \frac{7}{\sqrt{11} } , 47+ 1.812\frac{7}{\sqrt{11} } )$

Lower bound of CI = 47 -3.82436 = 43.1756

Upper bound of CI = 47 + 3.82436 = 50.8243

The conditions are required for the validity of the interval

A) μ known

Explanation:-

If a random sample xi of size 'n' has been drawn from a normal population with a specified mean (μ) known.

The limit for (μ) is given by

$(x^{-} - t_{0.02} \frac{S}{\sqrt{n} } , x^{-} + t_{0.02}\frac{S}{\sqrt{n} } )$

5 0

3 years ago