All categories

3 years ago

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

Mathematics

1 answer:

kvv77 [185]3 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

You might be interested in

Integrate G(x,y,z)equalsz over the parabolic cylinder yequalszsquared, 0less than or equalsxless than or equals2, 0less than

yKpoI14uk [10]

I gather you're supposed to compute the integral of $G(x,y,z)=z$ over a surface $S$ that is the part of the parabolic cylinder $y=z^2$ with $0\le x\le2$ and $0\le z\le\frac{\sqrt{15}}2$ .

We can parameterize $S$ by

$\vec s(x,z)=x\,\vec\imath+z^2\,\vec\jmath+z\,\vec k$

with the given constraints on $x$ and $z$ . Take the normal vector to $S$ to be

$\vec s_x\times\vec s_z=-\vec\jmath+2z\,\vec k$

so that the surface element is

$\mathrm dS=\|\vec s_x\times\vec s_z\|\,\mathrm dx\,\mathrm dz=\sqrt{1+4z^2}\,\mathrm dx\,\mathrm dz$

Then in the integral, we have

$\displaystyle\iint_Sz\,\mathrm dS=\int_0^2\int_0^{\sqrt{15}/2}z\sqrt{1+4z^2}\,\mathrm dz\,\mathrm dx=\boxed{\frac{21}2}$

5 0

3 years ago

Using number line what is 4-5

Vinil7 [7]

Answer:

Step-by-step explanation:

4 - 5 = -1

Count:

4, 3, 2, 1, 0, <u>-1</u>

6 0

2 years ago

Harry is riding a train that goes 70 miles an<br> hour. How far will he travel is 3.5 hours?

alexdok [17]

Answer: 245 miles

Step-by-step explanation:

(70)(3.5)= 245

4 0

2 years ago

Read 2 more answers

Find the value of c so that the polynomial p is divisible by (x+2)

alexandr1967 [171]

Answer:

The value of c is 8.

Step-by-step explanation:

When a function is divisible by a factor, it will get 0 value. So, you have to substitute x = -2 into p(x) and equals to 0 :

$p(x) = 4 {x}^{3} + c {x}^{2} + x + 2$

$p( - 2) = 4 {( - 2)}^{3} + c {( - 2)}^{2} + ( - 2) + 2$

$4( - 8) + 4c - 2 + 2 = 0$

$- 32 + 4c = 0$

$4c = 32$

$c = 32 \div 4$

$c = 8$

3 0

3 years ago

A lion paced up and down the ridge 10 times. The ridge is 5 ft. 3 in. long. How far did the lion travel? (12 in.=1 ft.)

Setler79 [48]

Answer:

105 ft.

Step-by-step explanation:

5 x 12 = 60

So 5 feet is 60 inches.

60 + 3 = 63

That makes the ridge 63 inches long.

When the lion went up the ridge, it traveled 63 inches.

When the lion went back down the ridge, it traveled another 63 inches, totaling 126 inches.

The lion did this 10 times.

126 x 10 = 1260

Divide 1260 by 12 to find the measurement in feet.

1260 ÷ 12 = 105

7 0

3 years ago