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3 years ago

Why 3^-7 x 3^7 = 1. . Someone please

Mathematics

1 answer:

irina [24]3 years ago

6 0

Answer:

see below

Step-by-step explanation:

3^-7 x 3^7 = 1

The negative exponents put it in the denominator

1/ 3*3*3*3*3*3*3 * (3*3*3*3*3*3*3) = 1

The 3's cancel leaving

1/1 = 1

1=1

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Write 65% as a fraction in simplest form.

rusak2 [61]

Answer:

13/20

Step-by-step explanation:

This is actually pretty simple. I had trouble with this for the longest time but it makes sense to me now. A number that is a percent is equal to that number over 100.

65%=65/100

Then all you have to do is simplify! (yaaay)

65/100=13/20

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3 years ago

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At the local nursery, 1/4 of the plants for sale are flowers and another 3/5 of them are bushes. What fraction of the plants for

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Answer:

17/20

Step-by-step explanation:

1/4 +3/5 simplify into:

5/20 + 12/20= 17/20

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2 years ago

Factor completely: −3x2 + 6x − 9

denis23 [38]

Factor out the -3
(-3)(x^2-2x+3)

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3 years ago

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Without actual division prove that x4 +2x3 -2x2 +2x -3 is exactly divisible by x2 +2x-3

Brut [27]

Answer:

Step-by-step explanation:

$\displaystyle\Large\boldsymbol{} x^4+2x^3-2x^2+2x-3= \\\\\\x^4+2x^2(x-1)+2x-\underbrace{2-1}_{-3}= \\\\\\x^4-1+2x^2(x-1)+2x-2 = \\\\\\(x^2-1)(x^2+1)+2x^2(x-1)+2(x-1) = \\\\\\\underline{(x-1)}(x+1)(x^2+1)+2x^2\underline{(x-1)} +2\underline{(x-1)} =\\\\\\(x-1)((x+1)(x^2+1)+2x^2+2)=\\\\\\(x-1)(x^3+x^2+2x^2+x+2+1)=\\\\\\(x-1)(x^3+3x^2+x+3) =\\\\\\(x-1)( \underline{(x+3)}x^2+\underline{(x+3)})=(x^2+1)\underbrace{(x-1)(x+3)}_{x^2+2x-3}= \\\\\\(x^2+1)(x^2+2x-3) : (x^2+2x-3)=x^2+1$

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3 years ago

Find the solution of the system by graphing

zvonat [6]

Answer:

x = -2

y = -1

(-2, -1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

Solving systems of equations using substitution/elimination
Solving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

y = x + 1

3x + 3y = -9

Step 2: Solve for x

Substitution

Substitute in y: 3x + 3(x + 1) = -9
Distribute 3: 3x + 3x + 3 = -9
Combine like terms: 6x + 3 = -9
Isolate x term: 6x = -12
Isolate x: x = -2

Step 3: Solve for y

Define original equation: y = x + 1
Substitute in x: y = -2 + 1
Add: y = -1

Step 4: Graph systems

Check the solution set.

6 0

3 years ago