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2 years ago

If the discrimination of equation is equal to -8, which statement describes the roots ?

Mathematics

1 answer:

kvv77 [185]2 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

The value of the discriminant informs about the nature of the roots of a quadratic function.

The discriminant Δ = b² - 4ac

• If b² - 4ac > 0, then roots are real and distinct

• If b² - 4ac = 0, then roots are real and equal

• If b² - 4ac < 0, then the roots are not real

Hence for b² - 4ac = - 8, then roots are not real

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3 years ago

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inn [45]

Answer:

$y=2\sqrt{10}$

Step-by-step explanation:

By applying geometric mean theorem in the given right angle,

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By substituting values in the given ratio,

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3 years ago

A regular tube of toothpaste costs $2.50 for 3.2 ounces. A travel size tube costs $1.00 for 1.2 ounces. Compare the prices and w

Len [333]

Answer:

The travel size costs 6 % as much as the regular size. Thus the regular size would be more economical and thus a better buy

Step-by-step explanation:

step 1

Find out the unit rate of a regular tube of toothpaste

we know that

To find out the unit rate, divide the total cost by the total weight

$\frac{2.50}{3.2}=\$0.78\ per\ ounce$

step 2

Find out the unit rate of a travel size tube of toothpaste

we know that

To find out the unit rate, divide the total cost by the total weight

$\frac{1.00}{1.2}=\$0.83\ per\ ounce$

step 3

Find out the percent of increase

we have that

The unit rate $\$0.83\ per\ ounce$ represent the 100%

so by proportion

Find out what percentage represent the difference ($0.83-$0.78=$0.05 per ounce)

$\frac{0.83}{100\%}=\frac{0.05}{x}\\\\x=100(0.05)/0.83\\\\x=6\%$

therefore

The travel size costs 6 % as much as the regular size. Thus the regular size would be more economical and thus a better buy

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3 years ago

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mario62 [17]

Answer:

All real numbers except -3

Step-by-step explanation:

Range refers to numbers on the y-axis.

Domain refers to numbers on the x-axis.

Both of those lines will never reach -3, just come extremely close to it.

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3 years ago

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Dominik [7]

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