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3 years ago

What are the two solutions of 2x^2 = -X^2 - 5x - 1?

Mathematics

1 answer:

Sidana [21]3 years ago

6 0

Answer:

Step-by-step explanation:

Let's solve 2x^2 = -X^2 - 5x - 1. Consolidate all terms on the left side and write 0 on the right side:

3x^2 + 5x + 1 = 0. This is a quadratic equation. Let's solve it for x using the quadratic formula:

a = 3, b = 5, c = 1, and so the discriminant is b^2 - 4ac = 5^2 - 4(3)(1) = 13. Because the discriminant is positive, we know that there are two distinct, real roots; the graphs of y = 2x^2 and y = x^2 - 5x - 1 intersect in two places whose x-coordinates are the real roots mentioned above.

Answer A is not correct as stated, but would be correct if we were to replace "the y-coordinates" with "the x-coordinates."

Answer C would be correct if and only if we write y = x^2 - 5x - 1.

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What is the domain and range for this graph?

Kay [80]

Domain: -∞, ∞
range: -5,∞
(the commas mean through; ex.; -5,∞..... that means negative 5 thru infinity)

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3 years ago

Read 2 more answers

A basketball player that shoots 80% from the free throw line attempts two free throws. The notation for conditional probability

taurus [48]

Answer:

P(made 2nd attempt|made 1st attempt)=P(made 2nd attempt)

Step-by-step explanation:

Here given that a basketball player that shoots 80% from the free throw line attempts two free throws.

If x is the no of shoots he makes (say) then we find that each throw is independent of the other.

In other words, because he made successful first attempt, his chances for second attempt will not change

Prob for success in each attempt remains the same as 0.80

Hence I throw is independent of II throw.

When A and B are independent,then we have

P(A/B) = P(A)

Hence answer is

P(made 2nd attempt|made 1st attempt)=P(made 2nd attempt)

8 0

3 years ago

There are five sales agents in a certain real estate office. One month Andy sold twice as many properties as Ellen, Bob sold 3 m

Novosadov [1.4K]

Answer:

Carry

Step-by-step explanation:

Here let’s take any arbitrary value for the number of properties sold by Ellen.

Let the number of properties sold by Ellen he 10. We were told Andy sold twice of this, this means he sold 20 properties

Bob sold 3 more than Ellen, meaning he sold 13.

Carry sold twice of Bob meaning he sold 26

Dora sold the addition of Bob and Ellen = 13 + 10 = 23

Carry sold 26 and this makes him the highest seller.

7 0

3 years ago

Why is 3 + (−5) equal to −2?

tamaranim1 [39]

Answer: since the 5 is a negative you are subtracting it from 3

so 3 +(-5) is actually 3-5. which = -2

Step-by-step explanation:

Hope this helps

5 0

3 years ago

Hi, the answer is K but can anyone show why

dlinn [17]

Let's do 51 and 52.

51. The contrapositive has the same truth value as the original statement. That's opposed to the converse, which may or may not be true independent of the original statement.

The contrapositive of IF P THEN Q is IF not Q THEN not P. They're equivalent. Here that's If the cat is not female then it is not tricolor.

Answer: C

52.

$(x^3)^{(4-b^2)}=1$

$x^{3(4-b^2)} = 1$

For the statement to be true, the exponent must be zero:

$3(4-b^2) = 0$

$b^2 = 4$

$b = \pm 2$

Both positive 2 and negative 2 have a square of 4.

Answer: K

By the way, usually we assume $0^0=1$ so the restriction that $x \ne 0$ isn't really necessary. Think of the definition of a polynomial or the binomial expansion:

$\displaystyle f(x)=\sum_{k=0}^n a_k x^k$

$\displaystyle(x+y)^n=\sum_{k=0}^n {n \choose k} x^{k}y^{n-k}$

For these common equalities to work when $x=0$ we need to define $0^0=1$

3 0

3 years ago