All categories

3 years ago

Need help nadding and subtracting functions

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

3 0

Answer:

2x² + $\frac{3}{2}$ x - 5

Step-by-step explanation:

(f + g)(x) = f(x) + g(x), thus

f(x) + g(x)

= $\frac{x}{2}$ - 2 + 2x² + x - 3 ← collect like terms

= 2x² + $\frac{3}{2}$ x - 5

You might be interested in

3+3+7+8+5+4+33yx11+<br><br><br> COME on People easy math for 30points.

Paraphin [41]

Answer:

363y + 30

Step-by-step explanation:

3 0

3 years ago

Prove that sinxtanx=1/cosx - cosx

maks197457 [2]

Answer:

See below

Step-by-step explanation:

We want to prove that

$\sin(x)\tan(x) = \dfrac{1}{\cos(x)} - \cos(x), \forall x \in\mathbb{R}$

Taking the RHS, note

$\dfrac{1}{\cos(x)} - \cos(x) = \dfrac{1}{\cos(x)} - \dfrac{\cos(x) \cos(x)}{\cos(x)} = \dfrac{1-\cos^2(x)}{\cos(x)}$

Remember that

$\sin^2(x) + \cos^2(x) =1 \implies 1- \cos^2(x) =\sin^2(x)$

Therefore,

$\dfrac{1-\cos^2(x)}{\cos(x)} = \dfrac{\sin^2(x)}{\cos(x)} = \dfrac{\sin(x)\sin(x)}{\cos(x)}$

Once

$\dfrac{\sin(x)}{\cos(x)} = \tan(x)$

Then,

$\dfrac{\sin(x)\sin(x)}{\cos(x)} = \sin(x)\tan(x)$

Hence, it is proved

5 0

3 years ago

Jacob took out a loan for $5,400 at a simple interest rate of 3.5% for 6 months. How much interest did he owe?

puteri [66]

Answer:

Step-by-step explanation:

I don't trust myself so I am sorry if it is wrong

4 0

3 years ago

Read 2 more answers

How many 1/2 kg packets of salt can you obtain from 18 kg of salt

True [87]

Answer:

Step-by-step explanation:

18 × 2 = 36

Because 1/2 is half of 1 kg so multiply by 2 it makes 1 kg

5 0

2 years ago

Can someone answer this i am in forth grade 7/8 x 3 =

Korvikt [17]

The answer is 2/6 :)

6 0

3 years ago