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Setler79 [48]
3 years ago
15

Factor 8x^5+4x^2−12

Mathematics
2 answers:
Effectus [21]3 years ago
4 0
D) because only 4 is the common factor in the equation.
harina [27]3 years ago
4 0

Answer:

Option D : 4(2x^{5} +x^{2} -3)

Step-by-step explanation:

Given :8x^{5} +4x^{2} -12

Solution:

Option A: 8(x^{5} +4x^{2} -12)

solving this

8x^{5} +32x^{2} -96

Since we are not getting the given expression after solving this .

Hence this wrong option

Option B: 4(2x^{5} +4x^{2} -12)

solving this

8x^{5} +16x^{2} -48

Since we are not getting the given expression after solving this .

Hence this wrong option

Option C: 4x^{2}(2x^{3} + x -3)

Solving this

8x^{5} + 4x^{3} -3x^{2}

Since we are not getting the given expression after solving this .

Hence this wrong option

Option D : 4(2x^{5} +x^{2} -3)

Solving this

8x^{5} + 4x^{2} -12

Since we are getting the given expression after solving this option

Hence Option D is correct

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the diameter is labelled as 8cm

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2 years ago
Arithmetic of Functions problem.
lidiya [134]

Answer:

(f o g)(4) = 45

Step-by-step explanation:

f(x)=4x+1

g(x)=x²-5

(f o g)(4)=?

(f o g)(4) = f(g(4))


Calculating g(4):

x=4→g(4)=4²-5

g(4)=16-5

g(4)=11


Replacing g(4)=11

(f o g)(4) = f(g(4))

(f o g)(4) = f(11)


Calculating f(11)

x=11→f(11)=4(11)+1

f(11)=44+1

f(11)=45


Replacing f(11)=45:

(f o g)(4) = f(11)

(f o g)(4) = 45

4 0
3 years ago
Read 2 more answers
The perimeter of a rectangle is 22 inches. Find the dimensions if its length is 3 inches greater than its width.
MaRussiya [10]

Answer:

Length: 7

Width: 4

Step-by-step explanation:

We can create a system of equations for this problem, where w is the width and l is the length.

The perimeter of a rectangle is twice its length added to twice its width.

2l+2w=22

The length is 3 more than the width:

l = w+3

We can now substitute in w+3 as l in the equation 2l+2w=22.

2(w+3) + 2w = 22

Distribute the first terms:

2w+6+2w=22

Combine like terms:

4w+6=22

Subtract 6 from both sides:

4w=16

Divide both sides by 4:

w = 4

Now we know that w = 4. We can now substitute this inside an equation to find l.

l = w+3\\\\l = 4+3\\\\l=7

Hope this helped!

7 0
3 years ago
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