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3 years ago

F(x) = 3x2 + 12x + 5

Mathematics

1 answer:

loris [4]3 years ago

6 0

Answer:

Discriminate is 84

And F(2) is 41

Step-by-step explanation:

Discriminate of a quadratic equation is given by

D=b^2-4aC

Given

F(x)=3x^2+12x+5

a=3,b=12 and C=5

D= 12^2-4*3*5=84

For F(2)

F(2)=3(2)^2+12(2)+5=41

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5t-14=-14 solve the equation for t

ikadub [295]

Hi there!

Before we begin, let's rewrite your equation. :)

$5t - 14 = -14$

Step 1) Add 14 to both sides.

$5t - 14 + 14 = -14 + 14 5t = 0$

Step 2) Divide both sides by 5.

$\frac{5t}{5} = \frac{0}{5}$

$t = 0$

Final Answer -

$t = 0$

Hope this helps!

Message me if you need anymore help! :D

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What is the volume of the cone below?

lara [203]

Answer:

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Step-by-step explanation:

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vaieri [72.5K]

You are able to pay expensive dues forward, such as houses, cars, and other payments that you wouldn't be able to pay in full on the spot.

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3 years ago

Read 2 more answers

What is the distance between (−5,−4) and (-6,4)?

Helga [31]

The distance formula is: d = sqrt( (x2 - x1)2 + (y2 - y1)2 )

For this problem, let (-5, -4) be the "first" point, so x1 = -5 and y2 = -4

and let (-6, 4) be the "second" point, so x2 = -6 and y2 = 4.

Then: d = sqrt( (-6 - -5)2 + (4 - -4)2 ) = sqrt( (-1)2 + (8)2 ) = sqrt( 1 + 64 ) = sqrt( 65)

The distance formula is just the Pythagorean Theorem applied to an x-y graph.

You would get the same final answer if you let (-5, -4) be the second point and (-6, 4) be the first point.

6 0

2 years ago

Analyze the diagram below and complete the instructions that follow. Find a, b, and c.

ahrayia [7]

Answer:

The correct answer is the letter C.

Step-by-step explanation:

We can use the following trigonometric identity:

$cos(60)=\frac{6}{b}$ (1)

$cos(45)=\frac{c}{b}$ (2)

Solving each equation by b and equaling we have:

$\frac{6}{cos(60)}=\frac{c}{cos(45)}$

Let's recall that:

$cos(45)=\frac{1}{\sqrt{2}}$

$cos(60)=\frac{1}{2}$

Then we have:

$c=\frac{cos(45)*6}{cos(60)}$

$c=\frac{2*6}{\sqrt{2}}$

$c=\frac{12}{\sqrt{2}}$

$c=6\sqrt{2}$

Using equation (1) we can find b.

$cos(60)=\frac{6}{b}$

$b=12$

Finally, we can find a using the next equation:

$tan(60)=\frac{a}{6}$

$a=6*tan(60)$

$a=6\sqrt{3}$

Therefore, the correct answer is the letter C.

I hope it helps you!

5 0

2 years ago