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3 years ago

Without solving the equation, determine the nature of the roots of x^2 - 2x - 8 = 0.

Mathematics

1 answer:

noname [10]3 years ago

3 0

Answer:

two real, unequal roots

Step-by-step explanation:

This is a quadratic equation. The quadratic formula can be used to determine how many and what kind of roots may exist:

Find the discriminant, which is defined as b^2 - 4ac, if ax^2 + bx + c = 0. In this case, a = 1, b = -2 and c = -8, so that the discriminant value is

(-2)^2 - 4(1)(-8), or 4 + 32 = 36.

Because the discriminant is real and positive, we know for certain that we have two real, unequal roots

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Marina86 [1]

8
3/4
x/32

Solve for x, = 24

Subtract 24 from 32
Also another way
4 x n = 32
n = 8
3x8 = 24
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3 years ago

Read 2 more answers

4y= -6x +8 <br>find the y-intercept

ivanzaharov [21]

First, divide each side by 4 to get y alone on the left side.

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3 years ago

Approximately 32,400 citizens of the country died in 2015. Express the toll in deaths per day

Zigmanuir [339]

There is 90 deaths per day.

First it tells us 32,400 people died in 2015, which also mean that many people died that year.

We have to find the number of people died each month first.

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3 years ago

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madam [21]

Answer:

The volume of this cylinder is 9184.5 cubic feet.

Step-by-step explanation:

The area of a circle is $\pi r^2$ and the volume of a cylinder with that base is just that area times the height:

$V=\pi r^2\times h$

Here, we're given the diameter, but we need the radius. The radius of a circle is just half of the diameter:

$r=30\times0.5=15$

Next, you can use that radius to calculate the area of the base:

$A=3.14\times15^2\\A=3.14\times225\\A=706.5$

Finally, multiply that by the height to find the volume of the cylinder:

$V=706.5\times13\\V=9184.5$

The volume of this cylinder is 9184.5 cubic feet.

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2 years ago

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Novay_Z [31]

Answer:

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2 years ago