All categories

3 years ago

+find the discriminant and the number of real roots for this equation 9x^2+12x+14

Mathematics

2 answers:

Juli2301 [7.4K]3 years ago

8 0

Answer:

no real roots

Step-by-step explanation:

9x²+12x+14

recall that for a quadratic equation ax²+bx+c, the discriminant = b²- 4ac

In our case,

discriminant,

= b²- 4ac

= 12² - 4(9)(14)

= 144 - 504

= -360

because the discriminant is negative, there are no real roots.

Dimas [21]3 years ago

3 0

Answer:

the number of real roots for this equation 9x^2+12x+14 is :

0 (zero)

Step-by-step explanation:

Let Δ represent the discriminant

Δ = b² - 4ac = 12² - 4(9)(14) = -360

since Δ < 0 then it doesn’t have any real root.

You might be interested in

Help please! (no one was answering it in physics and i really need help)

aivan3 [116]

Let $v_0$ be the cat's speed just as it leaves the edge of the table. Then taking the point 1.3 m below the edge of the table to be the origin, the cat's horizontal position at time $t$ is given by

$x(t)=v_0t$

and its height is

$y(t)=1.3\,\mathrm m-gt^2$

where $g$ is 9.8 m/s^2, the magnitude of the acceleration due to gravity.

The time it takes for the cat to hit the ground is $t$ with

$0=1.3\,\mathrm m-gt^2\implies t=\sqrt{\dfrac{1.3\,\rm m}g}\approx0.36\,\mathrm s$

(Unfortunately, this doesn't match any of the given options...)

The cat lands 0.75 m away (horizontally) from the edge of the table, so that its speed $v_0$ was

$0.75\,\mathrm m=v_0(0.36\,\mathrm s)\implies v_0\approx2.08\dfrac{\rm m}{\rm s}$

(Again, not one of the answer choices...)

I'm guessing there's either a typo in the question or answers.

6 0

3 years ago

A cone has a volume of 942 in.³ and a height of 9 inches what is the radius of the cone use 3.14 for pie

bija089 [108]

Answer:

r = 51.96 inches

Step-by-step explanation:

$V_{cone} = \pi {r}^{2} h \\ \\ \implies \: r^{2} = \frac{V_{cone}}{\pi h } \\ \\ \implies \: r^{2} = \frac{942}{3.14 {(9) } }\\ \\ \implies \: r^{2} = \frac{942}{3.14 {(9) } } \\ \\ \implies \: r^{2} =2700 \\ \\ \implies \: r= \sqrt{2700} \\ \\ \implies \: r=51.96 \: inches$