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2 years ago

Please help it is due today will give brainliest

Mathematics

1 answer:

stepladder [879]2 years ago

5 0

Answer:

25/-10

Step-by-step explanation:

you plug -5 as b so -5x-5=25

and then plug -15 as a and add 5 so u get -10

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Gekata [30.6K]

Answer:

Step-by-step explanation:

the sequence is decreasing by 8

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2 years ago

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A total of 40 people made cakes for a bake sale. Each person made 3 cakes. Ms. Sanchez

Elena L [17]

18 chocolate cakes were made. 40(3)= 120 cakes in total. 15%=.15 .15(120)= 18

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3 years ago

A total of 28 students have entered a spelling contest there are 6 medal for first through sixth place that will be awarded. In

OLEGan [10]

Since the order of the students selected is important in this item, the concept used for this question is that of the permutation. For this item it is the "permutation of 28 taken 6". This may be mathematically expressed as 28P6. The numerical answer is 271252800. Thus, the answer is letter C.

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2 years ago

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The matrix A= (−3 0 1, 2 −4 2, −3 −2 1) has one real eigenvalue. Find this eigenvalue, its multiplicity, and the dimension of th

Aliun [14]

Answer:

a) -4

b) 1

c) 1

Step-by-step explanation:

a) The matrix A is given by:

$A=\left[\begin{array}{ccc}-3&0&1\\2&-4&2\\-3&-2&1\end{array}\right]$

to find the eigenvalues of the matrix you use the following:

$det(A-\lambda I)=0$

where lambda are the eigenvalues and I is the identity matrix. By replacing you obtain:

$A-\lambda I=\left[\begin{array}{ccc}-3-\lambda&0&1\\2&-4-\lambda&2\\-3&-2&1-\lambda\end{array}\right]$

and by taking the determinant:

$[(-3-\lambda)(-4-\lambda)(1-\lambda)+(0)(2)(-3)+(2)(-2)(1)]-[(1)(-4-\lambda)(-3)+(0)(2)(1-\lambda)+(2)(-2)(-3-\lambda)]=0\\\\-\lambda^3-6\lambda^2-12\lambda-16=0$

and the roots of this polynomial is:

$\lambda_1=-4\\\\\lambda_2=-1+i\sqrt{3}\\\\\lambda_3=-1-i\sqrt{3}$

hence, the real eigenvalue of the matrix A is -4.

b) The multiplicity of the eigenvalue is 1.

c) The dimension of the eigenspace is 1 (because the multiplicity determines the dimension of the eigenspace)

3 0

2 years ago

What is the measure of angle 4?

Ilia_Sergeevich [38]

<4 + <3 = 180
7x + 23x = 180
30x = 180
x = 6

m<4 = 7x = 7(6) = 42

answer
B. 42 (Second choice)

3 0

2 years ago