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3 years ago

If f(x) = 3x^2-2x+4 and g(x)=5x^2+6-8 find (f+g)(x)

Mathematics

1 answer:

babymother [125]3 years ago

6 0

Answer: 8x²+4x-4

Step-by-step explanation:

(f+g)(x) is f(x)+g(x). Since we are given f(x) and g(x), we can directly add them together.

3x²-2x+4+5x²+6x-8 [combine like terms]

8x²+4x-4

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This is already late but please help

Nostrana [21]

Answer: 12.5

Step-by-step explanation:

x/10 = 10/8

reduce the fraction with 2

x/10=5/4

simplify the equation using cross-multiplication

4x=50

divide both sides by 4

x=25/2

x=12.5

3 0

2 years ago

Anyone know this if u do pls help and have a nice day

muminat

Because for input=-2 there are more than one outputs. It means the this is not a function and it’s impossible to find a rule.

8 0

3 years ago

What is the solution to the equation 9x - 1 = 80. X = -9 X = 1 x = 81 x=9

IgorLugansk [536]

X= -9 because I looked it up

4 0

2 years ago

Read 2 more answers

Use suitable identities to find the following products (x+4)(x+10)

Anestetic [448]

Answer:

$x^2 + 14x + 40$

Step-by-step explanation:

Here we gonna use the identity -

$(x+a)(x+b) = x^2+(a+b)x + ab$

So using the identity here,

$(x+4)(x+10) \\=> x^2 +(4+10)x+4*10\\=>x^2+14x+40$

6 0

3 years ago

Read 2 more answers

Working alone at its constant rate, pump X pumped out ¼ of the water in a tank in 2 hours. Then pumps Y and Z started working an

madam [21]

Answer:

The correct option is B) 12.

Step-by-step explanation:

Consider the provided information.

Working alone at its constant rate, pump X pumped out ¼ of the water in a tank in 2 hours.

As we know: $rate =\dfrac{ work}{time}$ ,

The rate of pump X is $\frac{\frac{1}{4}}{2} = \frac{1}{8}$

$\frac{1}{4}$ of the water is pumped out of the tank, that means only $\frac{3}{4}$ is left to be pumped out.

All 3 pumps pumped out the remaining $\frac{3}{4}$ of the water out in 3 hours.

The combined rate of all three pumps is: $\frac{\frac{3}{4}}{3} = \frac{1}{4}$

Pump Y, working alone at its constant rate, would have taken 18 hours to pump out the rest of the water.

The rate of pump Y = $\frac{\frac{3}{4}}{18} = \frac{1}{24}$

Let z is the time taken by pump Z, then the rate of pump Z is $\frac{1}{z}$ .

Therefore,

$\dfrac{1}{8}+\dfrac{1}{24}+\dfrac{1}{z}=\dfrac{1}{4}$

Multiplying both sides by 24 z.

$3z + z + 24 = 6z\\24 = 2z\\12 = z$

Hence, the correct option is B) 12.

5 0

3 years ago