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slavikrds [6]
3 years ago
8

Simplify without negative exponents x^4/x^7

Mathematics
1 answer:
Brums [2.3K]3 years ago
6 0

Answer:

1/(x^3)

Step-by-step explanation:

The applicable rule is x^m / x^n = x^(m-n), so here

x^4 / x^7 = x^(4-7) = x^(-3)

next applicable rule, x^(-n) = 1/(x^n) OR (1/x)^n (they are equivalent), so here

x^(-3) = (1/x)^3 OR 1/(x^3), which ever looks better to you and your instructor, likely the second

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The equation y-5=6(x+1) is written in point-slope form. What is the equation written in slope-intercept form?y = 6x + 11y = 6x –
Ymorist [56]

The slope-intercept form: y = mx + b

We have in point-intercept form: y - 5 = 6(x + 1)

Transform:

y - 5 = 6(x + 1)     |use distributive property

y - 5 = (6)(x) + (6)(1)

y - 5 = 6x + 6     |add 5 to both sides

y = 6x + 11

8 0
3 years ago
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You increase the size of a page by 30% then decrease it by 30% what is the size of the page now?
LiRa [457]
The correct answer is A, smaller than the size you started with. Because you increased the size by 30% of the original page, and then took 30% of the larger page, you're taking more away than you increased it by. For instance, if you had a page that was 60 units², and you increased it by 30% (18 units), you would get 78 units². However, if you took 30% of 78 (23.4) and subtracted it, you would get 54.6 units², which is smaller than 60 units².

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7 0
4 years ago
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(60 points to best answer) (asap please and thank you)
inna [77]

Answer: 83.\overline{3}\text{ feet}

Step-by-step explanation:

Since, In the given diagram,

The sides of the triangles ABC and EDC are,

BC = 62 feet, DC = 93 feet and DE = 125 feet(given)

And, angles B and D are right angles,

⇒ \angle ABC\cong \angle EDC

\text{Also, } \angle ACB\cong \angle ECD    ( Vertically opposite angles )

By AA similarity postulate,

\triangle ABC\sim \triangle EDC

The sides of similar triangles are in same proportion ,

⇒  \frac{AB}{ED}=\frac{BC}{DC}

⇒  AB \times DC = BC \times ED

⇒  AB = \frac{BC.ED}{DC}

By substituting the values,

We get,

⇒  AB = \frac{62\times 125}{93}

⇒  AB = \frac{7750}{93}=83.\overline{3}\text{ feet}

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4 years ago
Solve for x: -8 < x-1 < 5
olchik [2.2K]

Answer:

6 > x > -7

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-8 < x - 1 < 5

+1 + 1 + 1

_____________

-7 < x < 6

The above answer is written in reverse, which is the exact same result.

I am joyous to assist you anytime.

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3 years ago
What would 262ft^{2} be?
lozanna [386]

Answer:

37728 square inches

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