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3 years ago

|1 - 4x| > 7

1 answer:

Ber [7]3 years ago

7 0

$|1-4x| > 7\iff1-4x > 7\ \vee\ 1-4x < -7\ \ \ |-1\\\\-4x > 6\ \vee\ -4x < -8\ \ \ |:(-4)\\\\x < -1.5\ \vee\ x > 2\\\\Answer:\boxed{B.\ \{x:x < -1.5\ \cup\ x > 2\}}$

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A man bought a house for 3600 Naira he repairs the house with 150 Naira if he sold the house for 4950 Naira . Find his percentag

kozerog [31]

Step-by-step explanation:

profit%=

$\frac{selling \: price - cost \: price}{cost \: price} \times 100\%$

$\frac{4950 \: naira - 3600 \: naira + 150 \: naira}{3750 \: naira} \times 100\%$

$\frac{4950 - 3750}{3750} \times 100\%$

$\frac{1200}{3750} \times 100\%$

=36%

7 0

3 years ago

Rationalize the denominator and simplify.

Irina18 [472]

Answer:

$\frac{3 \sqrt{2} - 2 \sqrt{3} }{3 \sqrt{2} + 2 \sqrt{3} } \times \frac{3 \sqrt{2} - 2 \sqrt{3} }{3 \sqrt{2} - 2 \sqrt{3} } \\ \\ = \frac{18 + 12 - 12 \sqrt{6} }{18 - 12} \\ \\ = \frac{30 - 12 \sqrt{6} }{6} \\ \\ = 5 - 2 \sqrt{6}$

7 0

3 years ago

Original cost $7.50 markup % 50%

Molodets [167]

Answer:

3.75

Step-by-step explanation:

3.75 because 7.50 × .50 (or 7.50/2) is 3.75

4 0

3 years ago

Solve the following quadratic by<br> completing the square.<br> y = x2 + 4x - 2

iogann1982 [59]

Answer:

x = √6 - 2 , -√6-2

Step-by-step explanation:

We have ,

=> y = x² + 4x - 2

Let y = 0

=> x² + 4x - 2 = 0

=> x² + 2(2)(x) - 2 = 0

=> x² + 2(2)(x) +2² - 2² -2 = 0

=> x² + 2(2)(x) + 2² -4-2 = 0

=> ( x + 2 )² -6 = 0

=> ( x +2)² = 6

=> ( x + 2) = √6

=> x + 2 = ±√6

=> x = √6 - 2 , -√6-2

4 0

3 years ago

Read 2 more answers

.Write the equation of the line that passes through (5,0) and is perpendicular to the line y = 5x + 55.

Pavlova-9 [17]

Answer:

y=-1/5 x+c

0=-1/5(5)+c

0=-1+c

1=c

y=-1/5x+1

Step-by-step explanation:

6 0

3 years ago