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juin [17]
3 years ago
7

What is a 20% decrease followed by 40% increas

Mathematics
1 answer:
qaws [65]3 years ago
7 0

i think its 112%

am i right?


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What is the equation of the line that passes through the point (-1, -3) and has a slope of -5?
spin [16.1K]

Answer:

<h2>A) y = -5x - 8</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

(x₁, y₁) - point on a line

We have the slope m = -5, and the point (-1, -3). Substitute:

y-(-3)=-5(x-(-1))\\\\y+3=-5(x+1)

Convert to the slope-intercept form (y = mx + b):

y+3=-5(x+1)          <em>use the distributive property</em>

y+3=-5x-5            <em>subtract 3 from both sides</em>

y=-5x-8

7 0
3 years ago
Rewrite in simplest radical form: x^4/5 / x^1/3 into a√x^b
mrs_skeptik [129]

Answer:

\sqrt[15]{x^7}

Step-by-step explanation:

If we have the expression

\frac{x^{\frac{4}{5}}}{x^{\frac{1}{3}}}, we have to think about exponent rules.

If we have a^b \div a^c, then the value will be equal to a^{b-c}.

So \frac{x^{\frac{4}{5}}}{x^{\frac{1}{3}}} simplified will be x^{\frac{4}{5} - \frac{1}{3}}

Converting \frac{4}{5} and \frac{1}{3} into fifteenths (lcm) gets us \frac{12}{15} - \frac{5}{15} = \frac{7}{15}.

We can convert x^{\frac{7}{15}} into a radical by taking the denominator root of x to the numerator.

\sqrt[15]{x^7}.

Hope this helped!

6 0
3 years ago
(i) Write the expansion of (x + y)² and (x - y)². (ii) Find (x + y)² - (x - y)² (iii) Write 12 as the difference of two perfect
zaharov [31]

Answer:

1a (x + y)² = x² + 2xy + y²

1b. (x - y)² = x² - 2xy + y²

2. (x + y)² - (x - y)² = 4xy

3. 4² – 2² = 12

Step-by-step explanation:

1a. Expansion of (x + y)²

(x + y)² = (x + y)(x + y)

(x + y)² = x(x + y) + y(x + y)

(x + y)² = x² + xy + xy + y²

(x + y)² = x² + 2xy + y²

1b. Expansion of (x - y)²

(x - y)² = (x - y)(x - y)

(x - y)² = x(x - y) - y(x - y)

(x - y)² = x² - xy - xy + y²

(x - y)² = x² - 2xy + y²

2. Determination of (x + y)² - (x - y)²

This can be obtained as follow

(x + y)² = x² + 2xy + y²

(x - y)² = x² - 2xy + y²

(x + y)² - (x - y)² = x² + 2xy + y² - (x² - 2xy + y²)

= x² + 2xy + y² - x² + 2xy - y²

= x² - x² + 2xy + 2xy + y² - y²

= 2xy + 2xy

= 4xy

(x + y)² - (x - y)² = 4xy

3. Writing 12 as the difference of two perfect square.

To do this, we shall subtract 12 from a perfect square to obtain a number which has a perfect square root.

We'll begin by 4

4² – 12

16 – 12 = 4

Find the square root of 4

√4 = 2

4 has a square root of 2.

Thus,

4² – 12 = 4

4² – 12 = 2²

Rearrange

4² – 2² = 12

Therefore, 12 as a difference of two perfect square is 4² – 2²

7 0
3 years ago
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