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3 years ago

Solve the following Systems of Equations by Substitution or Elimination

Mathematics

1 answer:

Likurg_2 [28]3 years ago

7 0

Answer:

(-1,2)

Step-by-step explanation:

y = -2x ______(1)

7x - 8y = -23 ________(2)

Substituting the value of y in eqn.(1) into eqn (2);

7x - 8(-2x) = -23

7x + 16x = -23

23x = -23

x = -1

y = -2(-1) = 2.

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1 year ago

The student council has 10 members where 5 of the members are Seniors. They need to choose a President, Vice President, Secretar

natima [27]

Answer:

P=1/42.

Step-by-step explanation:

We know that the student council has 10 members where 5 of the members are Seniors. They need to choose a President, Vice President, Secretary and Treasurer. We calculate the probability that the President is a Senior:

We calculate the number of possible combinations:

$C_4^{10}=\frac{10!}{4!(10-4)!}=210$

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3 years ago

What is 20% of 120? Select one O O O 20 240

balandron [24]

20% of 120 can be represented as 120 * 0.20
120 * 0.20 = 24

so 20% of 120 is 24

5 0

3 years ago

What is 68% of 122 rounded to the nearest whole number

egoroff_w [7]

The answer you're looking for is 83.

5 0

3 years ago

Read 2 more answers

If f(x) = x^4-x^3+x^2 and g(x)= -x^2, where x does not = 0, what is (f/g)(x)?

Korvikt [17]

For this case we have the following functions:

$f (x) = x ^ 4-x ^ 3 x ^ 2\\g (x) = - x ^ 2$

By definition of composition of functions we have to: $(f \ g) (x) = \frac {f (x)} {g (x)}$

So:

$\frac {f (x)} {g (x)} = \frac {x ^ 4-x ^ 3 x ^ 2} {- x ^ 2} = \frac {x ^ 4} {- x ^ 2} +\frac {-x ^ 3} {- x ^ 2}+ \frac {x ^ 2} {- x ^ 2} =$

By definition of division of powers of the same base we have to place the same base and subtract the exponents:

$\frac {f (x)} {g (x)} = - x ^ 2+x-1$

ANswer:

$(\frac {f} {g}) (x) = - x ^ 2 +x-1$

3 0

3 years ago