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tatyana61 [14]
3 years ago
12

I just need help on the restrictions part

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
5 0

Answer:

B

Step-by-step explanation:

x² - 10x -24 = (x + 2) (x - 12)  ....(1)

x² - 3x - 108 = (x + 9) ( x - 12) ....(2)

(1) / (2)     formula (2) can't be 0 ∴ x ≠ -9 and x ≠ 12

(1) / (2) = (x + 2) / (x + 9)

answer is (B)

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A store has a 10% off sale on pants. With this discount, the price of one pair of pants before tax is $17.10 What was the origin
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Answer:

$171

Step-by-step explanation:

A store has a 10% off sale on pants. With this discount, the price of one pair of pants before tax is $17.10 What was the original price of the pants?

Let x represent the original price of the pair of pants

From the question, we know that:

10% of x = $17.10

10/100 × x = $17.10

10x/100 = $17.10

Cross Multiply

10x = 100 × $17.10

10x = 1710

x = 1710/10

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3 years ago
The graph of the quadratic parent function is reflected across the x-axis, then shifted 5 units down and 4 units right. Write th
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Answer:

  y = -(x -4)² -5

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f(x) -5 is a translation down by 5 units.

f(x -4) is a translation right by 4 units.

Applying these transformations to y = x² gives, successively, ...

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4 years ago
Write the equation of a line in slope-intercept form that is parallel to the given line and passes through the point (12,-25).
lina2011 [118]

Answer:

m_1 = m_2 = \frac{1}{4}

And then since the new equation have the following form:

y = m_2 x +b

We can use the point given (x=12, y = -25) in order to find the intercept with this equation:

-25 = \frac{1}{4} (12) +b

And solving for the intercept b we got:

-25 = 3 +b

We subtract in both sides 3 and we got:

b = -25-3 = -28

And our final equation who satisfy the condition given is:

y= \frac{1}{4} x -28

Step-by-step explanation:

For this case we have the following equation given:

y = \frac{1}{4} x + 2

And we want to find an equation of a line parallel to the given function and this case we need to satisfy this condition:

m_1 = m_2 = \frac{1}{4}

And then since the new equation have the following form:

y = m_2 x +b

We can use the point given (x=12, y = -25) in order to find the intercept with this equation:

-25 = \frac{1}{4} (12) +b

And solving for the intercept b we got:

-25 = 3 +b

We subtract in both sides 3 and we got:

b = -25-3 = -28

And our final equation who satisfy the condition given is:

y= \frac{1}{4} x -28

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4 years ago
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