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3 years ago

Consider the function f(x) = 3.x2 + 7x + 2. what is the value of the discriminat?

Mathematics

1 answer:

Vika [28.1K]3 years ago

3 0

Answer:

The Discriminant is 25

Step-by-step explanation:

For this case, the discriminant will be given by

b ^ 2 - 4 * a * c

Where

b = 7

a = 3

c = 2

substituting

b ^ 2 - 4 * a * c = (7) ^ 2 - 4 * (3) * (2) = 25

Therefore the value of the discriminant is 25.

How many x-intercepts does this function have?

It has two intercepts with the x axis and can be found by equaling the function to zero. That is to say,

3x2 + 7x + 2 = 0

The results will be the interceptions with x.

What are the number of zeros for this function?

The number of zeros for this function is

two real number solutions

Because it is a quadratic function.

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the train traveled at an average speed of 48 miles per hour for the first 2 hours and at 60 miles an hour for the next hours. Wh

Aleksandr [31]

Answer: 56 mph

Step-by-step explanation:

48 miles x 2 hours = 96 miles

60 miles x 4 hours = 240 miles

240 + 96 = 360 total miles

360 / 6 (hours) = 56 mph

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3 years ago

I don't need you to work it out, just theorem(s) i need to reach the answer :)

VikaD [51]

Not sure why such an old question is showing up on my feed...

Anyway, let $x=\tan^{-1}\dfrac43$ and $y=\sin^{-1}\dfrac35$ . Then we want to find the exact value of $\cos(x-y)$ .

Use the angle difference identity:

$\cos(x-y)=\cos x\cos y+\sin x\sin y$

and right away we find $\sin y=\dfrac35$ . By the Pythagorean theorem, we also find $\cos y=\dfrac45$ . (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if $\tan x=\dfrac43$ , then (by Pythagorean theorem) $\sec x=\dfrac53$ , so $\cos x=\dfrac35$ . And from this, $\sin x=\dfrac45$ .

So,

$\cos\left(\tan^{-1}\dfrac43-\sin^{-1}\dfrac35\right)=\dfrac35\cdot\dfrac45+\dfrac45\cdot\dfrac35=\dfrac{24}{25}$

7 0

3 years ago

For f(x) = 3x^2 – X+5, 2f (-3) - f(4)=

Alenkinab [10]

Answer:

3x^2-x+5.2f\left(-3\right)-f\left(4\right) =

3x^2-x-19.6f

Step-by-step explanation:

3x^2-x+5.2f\left(-3\right)-f\left(4\right)

=3x^2-x-5.2f\cdot \:3-f\cdot \:4

=3x^2-x-15.6f-4f

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3 years ago

Evaluate 16^1/2 and show work

LUCKY_DIMON [66]

Here is your answer

${16}^{1/2} = ({4}^{2})^{1/2}\\= {4}^ {2× 1/2}\\= 4$

HOPE IT IS USEFUL

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3 years ago

Landon and Vanessa are at an arcade. Landon scored 48,827 points on a video game. Vanessa scored 62,919 on the same game. What w

DochEvi [55]

Answer: 111,746 points

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3 years ago