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3 years ago

What is the result of substituting for y in the bottom equation? y = x + 3 y = x2 + 2x - 4

Mathematics

1 answer:

irga5000 [103]3 years ago

8 0

Answer:

The correct option is (B).

Step-by-step explanation:

We need to find the result of substituting for y in the bottom equation.

Equation (1) is : $y=x+3$

Equation (2) is : $y=x^2+2x-4$

Put the value of y form equation (1) to equation (2) such that,

$x+3=x^2+2x-4$

It can be seen from the above equation, that option (2) is same as above equation.

Hence, the correct option is (B).

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The average of 8 numbers is 10. the average of 6 of the numbers is 12 what is the average of the other 2 numbers

omeli [17]

So, all 8 numbers added up would equal 80. and all 6 numbers added up would equal 72. The subtract them. 80-72 is 8. Then divide by 2 because there are 2 numbers. 8/2 is 4. (4 is your answer)

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3 years ago

corey wants to predict how much time a run will take based on the distance of the run he collected some data on the time (in min

Elodia [21]

Answer:

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Step-by-step explanation:

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3 years ago

If two fractions are between 0 and 1, can their product be more than 1? please explain. Thank You.

notka56 [123]

Answer:

B) always less than either of the original fractions

Step-by-step explanation:

We can easily Answer this by taking some values.

The question states that the two fractions, each have values between 0 and 1.

Let us say one of the fraction is 1/2 and the other fraction is 1/3 .

The product of the two fractions is 1/2 x 1/3 = 1/6 .

is lesser than both 1/2 and 1/3 .

So, the correct answer is that the product is always less than either of the original fractions.

6 0

3 years ago

It is estimated % of all adults in United States invest in stocks and that % of U.S. adults have investments in fixed income ins

katovenus [111]

Complete question :

It is estimated 28% of all adults in United States invest in stocks and that 85% of U.S. adults have investments in fixed income instruments (savings accounts, bonds, etc.). It is also estimated that 26% of U.S. adults have investments in both stocks and fixed income instruments. (a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places. (b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

Answer:

0.929 ; 0.306

Step-by-step explanation:

Using the information:

P(stock) = P(s) = 28% = 0.28

P(fixed income) = P(f) = 0.85

P(stock and fixed income) = p(SnF) = 26%

a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places.

P(F|S) = p(FnS) / p(s)

= 0.26 / 0.28

= 0.9285

= 0.929

(b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

P(s|f) = p(SnF) / p(f)

P(S|F) = 0.26 / 0.85 = 0.3058823

P(S¦F) = 0.306 (to 3 decimal places)

3 0

3 years ago

Use the construction in proof of the Chinese reminder theorem to find all solutions to the system of congruence:

antoniya [11.8K]

Answer:

17,101,185, 269,.... is the solution.

i.e. x≡17 mod(84) is the solution

Step-by-step explanation:

Given that the system is

$x ≡ 2 ( mod 3 )x ≡ 1 ( mod 4 )x ≡ 3 ( mod 7 )$

Considering from the last as 7 is big,

possible solutions would be 10,17,24,...

Since this should also be 1(mod4) we get this as 1,5,9,...17, ...

Together possible solutions would be 17, 45,73,121,....

Now consider I equation and then possible solutions are

5,8,11,14,17,20,23,26,29,...,47,....75, ....

Hence solution is 17.

Next number satisfying this would be 101, 185, ...

3 0

3 years ago