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3 years ago

Put these questions in order from least to greatest 3/8 19/24 2/3

Mathematics

1 answer:

aleksandr82 [10.1K]3 years ago

4 0

First 3/8, second 2/3, and third 19/24

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7. Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0

morpeh [17]

Hey there!

Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0

Answer :

x = -4 or x = 2 ✅

Explanation :

Quadratic formula : ax² + bx + c = 0 where a ≠ 0

The number of real-number solutions (roots) is determined by the discriminant (b² - 4ac) :

If b² - 4ac > 0 , There are 2 real-number solutions

If b² - 4ac = 0 , There is 1 real-number solution.

If b² - 4ac < 0 , There is no real-number solution.

The roots of the equation are determined by the following calculation:

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}$

Here, we have :

a = 1
b = 2
c = -8

1) Calculate the discriminant :

b² - 4ac ⇔ 2² - 4(1)(-8) ⇔ 4 - (-32) ⇔ 36

b² - 4ac = 36 > 0 ; The equation admits two real-number solutions

2) Calculate the roots of the equation:

▪️ (1)

$x_1 = \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ x_1 = \frac{ - 2 - \sqrt{36} }{2(1) } \\ \\ x_1 = \frac{ - 2 - 6}{2} \\ \\ x_1 = \frac{ - 8}{2} \\ \\ \blue{\boxed{\red{x_1 = -4}}}$

▪️ (2)

$x_2 = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_2 = \frac{ - 2 + \sqrt{36} }{2(1)} \\ \\ x_2 = \frac{ - 2 + 6}{2} \\ \\ x_2 = \frac{4}{2} \\ \\ \red{\boxed{\blue{x_2 = 2}}}$

>> Therefore, your answers are x = -4 or x = 2.

Learn more about quadratic equations:

brainly.com/question/27638369

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2 years ago

Read 2 more answers

Write in slope-intercept form an equation of the line that passes through the points (−5,−9) and (5,1).

o-na [289]

Answer:

y=x-4

Step-by-step explanation:

The slope is given by

m = (y2-y1)/(x2-x1)

m = (1--9)/(5--5)

m = (1+9)/(5+5)

= 10/10

= 1

The slope is 1

We have the slope and a point,so we can use point slope form

y-y1 = m(x-x1)

y-1 = 1(x-5)

y-1 = x-5

Add 1 to each side

y-1+1 = x-5+1

y=x-4

This is slope intercept form (y= mx+b)

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3 years ago

Explain how an insurance company can pay a large benefit even if it hasn’t collected that amount from an individual’s premiums.

tester [92]

Answer: charging in premiums in exchange for insurance coverage???

Step-by-step explanation:

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2 years ago

If 400 reduced by two times my present age is 296, how old am I now?

vitfil [10]

Answer:

52 years.

Step-by-step explanation:

Represent my current age by c. Then 400 - 2c = 296, or

104 = 2c

Then c must be 104/2, or 52 years.

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3 years ago

Suzl starts her hike at 300 feet below sea level. When she reaches the end of the

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For all the other viewers of this question, the change was -403 feet or you could say 403 feet i guess but the answer is -403 feet

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3 years ago