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3 years ago

(4x+7)^2=60 how to do extracting the square root?

1 answer:

8 0

(4x + 7)² = 60
(4x + 7)(4x + 7) = 60
(4x² + 28x + 28x + 49) = 60
4x² + 56x + 49 = 60
 -49 -49
 4x² + 56x = 11
4x² + 56x - 11 = 11 - 11
4x² + 56x - 11 = 0
x = -56 +/- √(56² - 4(4)(-11))
 2(4)
x = -56 +/- √(3136 + 88)
 8
x = -56 +/- √(3174)
 8
x = -56 +/- 56.34
 8
x = -7 +/- 7.0425
x = -7 + 7.70425 x = -7 - 7.70425
x = 0.70425 x = -14.70425

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Walgreens is offered a chain discount on cosmetics from Libby Corp. of 8/5/2; Roma Company offers a chain discount of 7/6/4. Wha

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Answer: 0.0160768

Step-by-step explanation:

Let the marked price of the cosmetic be 100.

From the question,

Walgreens is offered a chain discount on cosmetics from Libby Corp. of 8%, 5% and 2%. The selling price of the cosmetic after the chain discount will be:

100 × (1 - 8/100) × (1 - 5/100) × (1 - 2/100)

= 100 × (1 - 0.08) × (1 - 0.05) × (1 - 0.02)

= 85.652

Discount = Marked price - Selling price

Discount = 100 - 85.652

Discount = 14.348

Discount percent = 14.348% = 0.14348

Roma Company offers a chain discount of 7%, 6% and 4%.

The selling price of the cosmetic after the chain discount will be:

100 × (1 - 7/100) × (1 - 6/100) × (1 - 4/100)

= 100 × (1 - 0.07) × (1 - 0.06) × (1 - 0.04)

= 83.9232

Discount = Marked price - Selling price

Discount = 100 - 83.9232

Discount = 16.0768

Discount percent = 16.0768% = 0.0160768

The highest discount offered is 0.0160768.

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3 years ago

Math Journal Brian says that the expressions 2(x + 2) and 3(x + 1) + 1 are

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4(x + 2) your welcome

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Which of the following equations represents a line that is perpendicular to

Andreyy89

Answer:

$\large\boxed{y=\dfrac{1}{2}x}$

Step-by-step explanation:

$\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\===============================$

$\text{We have the equation:}\ y=-2x+4\to m_1=-2.\\\\\text{Therefore}\ m_2=-\dfrac{1}{-2}=\dfrac{1}{2}.\\\\\text{We have the equation:}\ y=\dfrac{1}{2}x+b.\\\\\text{Put the coordinate of the point (4, 2) to the equation:}\\\\2=\dfrac{1}{2}(4)+b\\\\2=2+b\qquad\text{subtract 2 from both sides}\\\\0=b\to b=0.\\\\\text{Finally:}\\\\y=\dfrac{1}{2}x$

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3 years ago

Find the distance between the points 3,7 and 15, 12 on the coordinate plane?

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$\text{Distance } = \sqrt{ (x_2 -x_1)^2 + (y_2 - y_1)^2}$

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3 years ago

A box contains 19 large marbles and 18 small marbles. Each marble is either green or white. 9 of the large marbles are green, an

pshichka [43]

If a marble is randomly selected from the box, then the probability

that it is small or green is 0.7297

Step-by-step explanation:

A box contains 19 large marbles and 18 small marbles

Each marble is either green or white

9 of the large marbles are green, and 8 of the small marbles are white

If a marble is randomly selected from the box, we need to find the

probability that it is small or green

1. Find P(small) ⇒ P(s)

2.Find P(green) ⇒ P(g)

3. Find P(small and green) ⇒ P(s and g)

4. Use the rule P(small or green) = P(s) + P(g) - P(s and g)

∵ The box contains 19 large marbles and 18 small marbles

∴ The total number of marbles = 19 + 18 = 37

∴ P(s) = $\frac{18}{37}$

∵ There are 8 small white marbles

∵ There are 18 small marbles

∴ The number of small green marbles = 18 - 8 = 10

∴ P(s and g) = $\frac{10}{37}$

∵ There are 9 large green marbles

∵ There are 10 small green marbles

∴ The number of green marbles = 9 + 10 = 19

∴ P(g) = $\frac{19}{37}$

∵ P(small or green) = P(s) + P(g) - P(s and g)

∴ P(small or green) = $\frac{18}{37}+\frac{19}{37}-\frac{10}{37}$

∴ P(small or green) = $\frac{27}{37}$ = 0.7297

If a marble is randomly selected from the box, then the probability

that it is small or green is 0.7297

Learn more:

you can learn more about probability in brainly.com/question/13053309

#Learnwithbrainly

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3 years ago