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2 years ago

Find the Remainder of x^2 - 5x - 22 divided by x + 3

Mathematics

1 answer:

Len [333]2 years ago

5 0

x -8
___________
x+3 I x² -5x -22
x² +3x
---------
-8x -22
-8x -24
-----------
2
the remainder is 2.

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Box all final answers. Little to no work will reccive little to no credit! I. (5 points) Let A and B be 4 x 4 matrices, with det

FinnZ [79.3K]

Answer: a) -6, b) 32, c) -48, d) 9, e) -12

Step-by-step explanation:

Since we have given that

A and B are 4 × 4 matrices.

Here,

det (A) = -3

det (B) = 2

We need to find the respective parts:

a) det (AB)

$\mid AB\mid=\mid A\mid.\mid B\mid\\\\\mid AB\mid=-3\times 2=-6$

b) det (B⁵ )

$\mid B^5\mid=\mid B\mid ^5=2^5=32$

c) det (2A)

Since we know that

$\mid kA\mid =k^n\mid A\mid$

so, it becomes,

$\mid 2A\mid =2^4\mid A\mid=16\times -3=-48$

d) $\bold{det(A^TA)}$

Since we know that

$\mid A^T\mid=\mid A\mid$

so, it becomes,

$\mid A^TA\mid=\mid A^T\mid \times \mid A\mid=-3\times -3=9$

e) det (B⁻¹AB)

As we know that

$\mid B^{-1}\mid =\mid B\mid$

so, it becomes,

$\mid B^{-1}AB}\mid =\mid B^{-1}.\mid \mid A\mid.\mid B\mid=2\times -3\times 2=-12$

Hence, a) -6, b) 32, c) -48, d) 9, e) -12

6 0

2 years ago

Question12....................................

tatyana61 [14]

Answer:

u = ± 4

Step-by-step explanation:

Given

u² = 16 ( take the square root of both sides )

u = ± $\sqrt{16}$ = ± 4

u = - 4, u = 4

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2 years ago

A 22 gram sample of a substance that's used to preserve fruit and vegetables has a k-value of 0.1011. Find the substance's half-

Eddi Din [679]

<span>Formula for exponential decay is:

N = No * e^-kt

N = 1/2(45) = 22.5

No = 45

k = 0.1109
The solution to your problem is as follows:

Let's try to solve the half-life if it is 45 grams, after which, you will now have an idea on how to solve the problem.

22.5 = 45 * e^(-0.1109t)

1/2 = e^(-0.1109t)

ln(1/2) = -0.1109t

t = (ln(1/2))/(-0.1109) = 6.25 days

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>

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2 years ago

If f(x) = 4 x^2 and g(x) = x+1, find (f•g)(x)

BaLLatris [955]

Answer:

D assuming the black dot means multiplied

Step-by-step explanation:

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3 years ago

The rectangle has an area of x square plus 15 square meters and a width of X plus 3

hammer [34]

Answer:

x + 5

Step-by-step explanation:

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2 years ago