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Art [367]
3 years ago
10

Factor the expression using the GCF 1. 27K-6 2. 5x+60y

Mathematics
1 answer:
Gnom [1K]3 years ago
8 0

Answer:

1. 3(9K-2)

2. 5(x+12y)

Step-by-step explanation:


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Determine whether the given function is a solution to the given differential equation. y=cosx+x8​, d^2y/dx^2 + y = x^8 + 56x^6.
Ulleksa [173]

The correct question is:

Determine whether the given function is a solution to the given differential equation. y = cosx + x^8; d²y/dx² + y = x^8 + 56x^6

Step-by-step explanation:

Given the differential equation

d²y/dx² + y = x^8 + 56x^6.

Suppose y = cosx + x^8 is a solution, then differentiating y twice, and adding it to itself, must give the value on the right hand side of the differential equation.

Let us differentiate y twice

y = cosx + x^8

dy/dx = -sinx + 8x^7

d²y/dx² = -cosx + 56x^6

Now,

d²y/dx² + y = -cosx + 56x^6 + cosx + x^8

= 56x^6 + x^8

Therefore,

d²y/dx² + y = x^8 + 56x^6

Which shows that y = cosx + x^8 is a solution to the differential equation.

4 0
3 years ago
Please answer with steps shown. Thanks!
maks197457 [2]

Answer: q = 40

Step-by-step explanation:

Given the quadratic formula as

x = [-b +/-√(b^2 -4ac)]/2a

b = -14

a = 1

c = q

Difference d between the two roots.

d = [-b + √(b^2 -4ac)]/2a - [-b -√(b^2 -4ac)]/2a

d = 2√(b^2 -4ac)/2a

d = √(b^2 -4ac)/a

And d = 6

Substituting the values of a,b and c. We have;

6 = √[(-14^2) - (4×1×q)]

Square both sides

6^2 = 196 - 4q

4q = 196 - 36

q = 160/4

q = 40

The equation becomes

x^2 - 14x + 40 = 0

3 0
3 years ago
What is the solution of StartRoot 2 x 4 EndRoot = 16?.
Ludmilka [50]

Answer:

start with root and minus with 2 and 5 and answer 16b

8 0
3 years ago
What is the area of this figure
exis [7]

Answer:

178m squared

Step-by-step explanation:

make 3 rectangular shapes

shape 1 ) 18×5=90

shape 2) 13×6= 78

shape 3) 5×2=10

Add up all the answers and that's the ans

90+78+10=178

4 0
3 years ago
Read 2 more answers
All of the statements below describe the characteristics of a powerful inner self EXCEPT:
Georgia [21]

Answer:

The first one is you don't make eye contact with others. And the second one is false

Step-by-step explanation:

6 0
3 years ago
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