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Both answers are incorrect

1. f(3) + f(-3) = 12.

2. The functions are B, C, E, and F.

The sum of all possible values of a is 19.

9216 kilometers

Are you able to explain why?

There are 44 ways.

The answer is 15.

The correct statement is (D).

c = 2b + 1.

(a) tan (alpha + beta) = 3/2

(b) tan y = 7/8

(c) tan (alpha + beta + y) = -8/3

Sorry, incorrect

Thank you, correct!

This can be factorized as:  \(2(t-6)(t+1)\)

The minimum occurs half way between the two roots.

\(2x^3-6x^2-15x-3=0\)

\(\text{Remember: } a^2+b^2+c^2=(a+b+c)^2-2(ab+bc+ac)\)

By Vieta's formulae:

\(a+b+c=-\dfrac{-6}{2}=3\)

\(ab+bc+ac=\dfrac{-15}{2}\)

Therefore, \(a^2+b^2+c^2=(3)^2-2(\dfrac{-15}{2})=9+15=24\)

ok thanks

(a,b) = (2 + sqrt(3), 2 - sqrt(3)) or (2 - sqrt(3), 2 + sqrt(3))

f(t) = 9t - 20

Try simplifying the original equation.

Then find the vertex because that is the only way to intersect at only 1 point.

the vertex is (-3, 1). So k=-3

First, substitute -2 into x.

So...

-6+y=a

-4+5y=2a

If we double the first equation, then -12+2y=2a. Subtract the first and second equations, and you can solve the rest from there

 3x^2 + 5x + 7 = 2x^2 - 4x - 11

3x^2 - 2x^2  +  5x  +  4x  +  7  +  11 = 0

x^2  +  9x  +  18 = 0

Use the quadratic formula to get:

x= - 3
x= - 6

[- 3 / - 6]  +  [ - 6 / - 3] = [1 / 2  +  2] = 2.5

18 + 5x^2 = 30x. 

5x^2  -  30x  +  18 =0

Use the quadratic formula to get:

x= 5.323790008
x= 0.6762099923

5.323790008  *  0.6762099923 = 3.6

FV = PV * [1  +  R]^N

FV = 10,000 * [1 + 0.02]^3

FV = 10,000 * 1.02^3

FV = 10,000 * 1.061208

FV =$ 10,612.08 - this is what you will have in 3 years at 2% compounded annually.

OR:

FV =10,000 * 0.02 * 3 years =$10,600 - this is what you will have in years at 2% SIMPLE interest.

The result is -35.

Angle B = 35 degrees.

k = 15/7