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Olin [163]
4 years ago
9

(3x-5)(2x+7) Please show all the work Thank You

Mathematics
1 answer:
dalvyx [7]4 years ago
8 0

(3x-5)(2x+7) =

= 3x·2x + 3x·7 - 5·2x - 5·7

= 6x² + 21x - 10x - 35

= 6x² + 11x - 35

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Questions:

(a) What is a simplified expression for (x + y) – (x – y)?

(b) Carlotta thinks that 3y + 5y^3 is the same as 8y^4. Which statement shows that it is NOT the same?

Answer:

(x + y) - (x - y) =2y

3y + 5y^3 \ne 8y^4

Step-by-step explanation:

Solving (a):

Given

(x + y) - (x - y)

Required

Simplify

(x + y) - (x - y)

Open brackets

(x + y) - (x - y) = x + y - x + y

Collect Like Terms

(x + y) - (x - y) = x - x+ y  + y

(x + y) - (x - y) = y  + y

(x + y) - (x - y) =2y

Solving (b):

Given

3y + 5y^3 and 8y^4

Required

Which expression shows they are not the same

The expression that shows this is:

3y + 5y^3 \ne 8y^4

Take for instance; y=2

Substitute 2 for y in 3y + 5y^3 \ne 8y^4

3*2 + 5*2^3 \ne 8*2^4

Evaluate all exponents

9 + 5*8 \ne 8*16

9 + 40 \ne 128

49 \ne 128

The above expression supports 3y + 5y^3 \ne 8y^4

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Which measurement is the best estimate for the distance between New York City and Washington, D.C.?:
Aleks [24]
The best estimate would be D: 331 km

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