3 years ago

Please help

Mathematics

1 answer:

Ivenika [448]3 years ago

3 0

Answer:

Step-by-step explanation:

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Will someone help me with this problem please.

lianna [129]

Answer:-5 10 ,13

Step-by-step explanation:

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2 years ago

What is the sum of 2x^2 and 2x^3

jeyben [28]

For this case we have the following expression:

$2x ^ 2 + 2x ^ 3$

The terms are not similar, so they cannot be added.

<em>Examples of similar terms:</em>

$x ^ 3 + x ^ 3 = 2x ^ 3\\3x ^ 4 + 2x ^ 4 = 5x ^ 4$

Then, the expression given can only be rewritten as:

$2 (x ^ 2 + x ^ 3)$

This is taking common factor 2 to both terms.

Answer:

$2 (x ^ 2 + x ^ 3)$

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3 years ago

Which of the following graphs is described by the function given below?<br> y = 2x2 + 6x + 3

Alex777 [14]

Answer: Graph A

Step-by-step explanation:

5 0

3 years ago

I’m pretty sure the correct answer is C. but I’d like to double check.

kobusy [5.1K]

4x + 1 → C

(f + g)(x) = f(x) + g(x) = 3x - 1 + x + 2 = 4x + 1

5 0

3 years ago

Suppose that the trace of a 2×2 matrix a is tr(a)=15 and the determinant is det(a)=50. find the eigenvalues of

IrinaK [193]

Recall that the characteristic polynomial of a 2x2 matrix $\mathbf A=\begin{bmatrix}a&b\\c&d\end{bmatrix}$ is

$\det(\mathbf A-\lambda\mathbf I)=\begin{vmatrix}a-\lambda&b\\c&d-\lambda\end{vmatrix}=(a-\lambda)(d-\lambda)-bc=\lambda^2-(a+d)\lambda+(ad-bc)$

but $\det(\mathbf A)=ad-bc$ and $\mathrm{tr}(\mathbf A)=a+d$ , so the characteristic polynomial for $\mathbf A$ is

$\lambda^2-\mathrm{tr}(\mathbf A)\lambda+\det(\mathbf A)$

We're given that the trace is 15 and determinant is 50, so the characteristic polynomial for the matrix in question is

$\lambda^2-15\lambda+50$

and the eigenvalues are those $\lambda$ for which the characteristic polynomial evaluates to 0.

$\lambda^2-15\lambda+50=(\lambda-5)(\lambda-10)=0\implies\lambda=5,\lambda=10$

5 0

3 years ago