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4 years ago

Which of the following is an x-intercept of the function, f(x) = x^2 - 64 ?

Mathematics

1 answer:

Luden [163]4 years ago

4 0

Answer:

D. -8

Step-by-step explanation:

An x intercept is where the y value is zero.

We set the expression equal to zero and solve for x.

x^2 - 64 = 0

(x + 8)(x - 8) = 0

x + 8 = 0 or x - 8 = 0

x = 8 or x = 8

Answer: D. -8

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Matrices A and B are square matrices of the same size. Prove Tr(c(A + B)) = C (Tr(A) + Tr(B)).

alexira [117]

Answer with Step-by-step explanation:

We are given that two matrices A and B are square matrices of the same size.

We have to prove that

Tr(C(A+B)=C(Tr(A)+Tr(B))

Where C is constant

We know that tr A=Sum of diagonal elements of A

Therefore,

Tr(A)=Sum of diagonal elements of A

Tr(B)=Sum of diagonal elements of B

C(Tr(A))= $C\cdot$ Sum of diagonal elements of A

C(Tr(B))= $C\cdot$ Sum of diagonal elements of B

$C(A+B)=C\cdot (A+B)$

Tr(C(A+B)=Sum of diagonal elements of (C(A+B))

Suppose ,A= $\left[\begin{array}{ccc}1&0\\1&1\end{array}\right]$

B= $\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]$

Tr(A)=1+1=2

Tr(B)=1+1=2

C(Tr(A)+Tr(B))=C(2+2)=4C

A+B= $\left[\begin{array}{ccc}1&0\\1&1\end{array}\right]+\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]$

A+B= $\left[\begin{array}{ccc}2&1\\2&2\end{array}\right]$

C(A+B)= $\left[\begin{array}{ccc}2C&C\\2C&2C\end{array}\right]$

Tr(C(A+B))=2C+2C=4C

Hence, Tr(C(A+B)=C(Tr(A)+Tr(B))

Hence, proved.

5 0

4 years ago

Express the set x > 4 using interval notation.

IgorC [24]

Answer:

notation is the number 4

8 0

3 years ago

Help me ASAP please

Harrizon [31]

Answer:

$\large\boxed{7^{-8}}$

Step-by-step explanation:

$7^{-1}\cdot7^{-7}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=7^{-1+(-7)}=7^{-8}$

6 0

3 years ago

Please help 200*50/-9+564*-4= ? I

Hoochie [10]

Answer:

-3367 1/9

Step-by-step explanation:

This is what calculators are for.

Perform the multiplication and division before the addition.

... = 10000/-9 -2256

... = -1111 1/9 -2256

... = -3367 1/9

_____

If you don't have a calculator, the Google and Bing search boxes can be relied upon to use the correct order of operations.

4 0

4 years ago

If Dr. Suzuki rides his bike to his office, he averages 9 mph. If he drives his car, he averages 27 mph. His time driving is 1/3

Citrus2011 [14]

26 miles far not that long

4 0

4 years ago