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Tasya [4]
2 years ago
8

Please help me with this!! Thank u

Mathematics
1 answer:
topjm [15]2 years ago
5 0

Answer:

Step-by-step explanation:

Left

When a square = a linear, always expand the squared expression.

x^2 - 2x + 1 = 3x - 5                Subtract 3x from both sides

x^2 - 2x - 3x + 1 = -5

x^2 - 5x +1 = - 5                      Add 5 to both sides

x^2 - 5x + 1 + 5 = -5 + 5

x^2 - 5x + 6 = 0

This factors

(x - 2)(x - 3)

So one solution is x = 2 and the other is x = 3

Second from the Left

i = sqrt(-1)

i^2 = - 1

i^4 = (i^2)(i^2)

i^4 = - 1 * -1

i^4 = 1

16(i^4) - 8(i^2) + 4

16(1) - 8(-1) + 4

16 + 8 + 4

28

Second from the Right

This one is rather long. I'll get you the equations, you can solve for a and b. Maybe not as long as I think.

12 = 8a + b

<u>17 = 12a + b         Subtract</u>

-5 = - 4a

a = - 5/-4 = 1.25

12 = 8*1.25 + b

12 = 10 + b

b = 12 - 10

b = 2

Now they want a + b

a + b = 1.25 + 2 = 3.25

Right

One of the ways to do this is to take out the common factor. You could also expand the square and remove the brackets of (2x - 2). Both will give you the same answer. I think expansion might be easier for you to understand, but the common factor method is shorter.

(2x - 2)^2 = 4x^2 - 8x + 4

4x^2 - 8x + 4 - 2x + 2

4x^2 - 10x + 6    The problem is factoring since neither of the first two equations work.

(2x - 2)(2x - 3)     This is correct.

So the answer is D

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Step-by-step explanation:

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3 years ago
If a is an integer, which of the 
sweet [91]
So to work this out we need to find the 4th root of each of those and pick the one that gives an integer.

A: \sqrt[4]{1.6*10^1^1} = 632.455... This is a decimal therefore <em>not</em> an integer.

B: \sqrt[4]{1.6*10^1^2} =1124.682... Again a decimal, therefore <em>not </em>an integer.

C: \sqrt[4]{1.6*10^1^3} =2000 This is a whole number, so it <em>is </em>an integer.

D: \sqrt[4]{1.6*10^1^4} =3556.558... Decimal, therefore <em>not </em>an integer

E: \sqrt[4]{1.6*10^1^5} =6324.555... Again a decimal, <em>not</em> an integer.

The only one that gives an integer when put to the 4th root is C, therefore:

1.6*10^1^3 could be A^4, as the 4th root of it is an integer.

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Answer:

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Step-by-step explanation:

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Simplify 5m-2(6m-5)+2<br><br>a. -7m-8<br>b. -7m+12<br>c. 17m+12<br>d. 17m-8
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The answer is B. -7m+12.


First distribute the -2 to 6m and -5.

5m-2(6m-5)+2

5m+(-2*6m)+(-2*-5)+2

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After that, combine the like terms.

5m+-12m+10+2

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The simplified expression is -7m+12.

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