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3 years ago

For f(x) = 4x+1 and g(x)=x^2-5 find (f + g)(x).

Mathematics

1 answer:

olga_2 [115]3 years ago

4 0

(f + g)(x) is x² + 4x - 4

<u>Step-by-step explanation:</u>

Step 1:

Given f(x) = 4x + 1, g(x) = x² - 5. Find (f+g)(x)

(f + g)(x) = f(x) + g(x) = 4x + 1 + x² - 5 = x² + 4x - 4

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3. Express the mixed recurring decimal 15.732 in p/q form.

Alborosie

Answer

15717/999

Step-by-step explanation

n=15.732732

10n=157.32732

100n=1573.27327

1000n=15732.732732

n= 15.732732

999n=15717

999 999

4 0

3 years ago

Read 2 more answers

Mr. Schordine wants to fill up enough helium balloons to allow him to fly through the skies. He weighs 84 kilograms. He knows th

Cerrena [4.2K]

Answer:

There is needed around 311 balloons to fulfill Mr. Schordine’s dream of flight.

Step-by-step explanation:

First, we need to calculate the volume of each balloon by considering the balloons as a sphere:

$V = \frac{4}{3}\pi r^{3}$

Where:

r: is the radius = 0.4 meters

$V = \frac{4}{3}\pi r^{3} = \frac{4}{3}\pi (0.4 m)^{3} = 0.27 m^{3}$

Knowing that 1 m³ of helium is able to lift about 1 kg, that Mr. Schordine weights 84 kg, and that each ballon has 0.27 m³ of helium, the number of balloons needed are:

$N = \frac{1 m^{3}}{1 kg}*84 kg*\frac{1 balloon}{0.27 m^{3}} = 311.1 \: balloon$

Therefore, there is needed around 311 balloons to fulfill Mr. Schordine’s dream of flight.

I hope it helps you!

6 0

3 years ago

cartons of juice boes come in packages of 3. ms ford has 2 juices left for school lunches. if ms ford buys 5 packages of juice b

Andrews [41]

Well 1 package=3, so if she buys 5 packages it's 5*3=15. She still has 2 left so you take 15+2=17. She will have 17 juice boxes in total.

6 0

3 years ago

An initial amount of 800$ is invested in compound saving accounts with an annual rate 4.5%. What is the balance in 5years

Virty [35]

1 year 800
8=1%
4.5%= 36
2 year 836
8.36=1%
4.5%=37.62
3 year 873.62
1%= 8.73
4.5%=39.28
4 year 912.89
1%.=9.12
4.5%=41.04
5 year 953.93

3 0

3 years ago

If p(x)= x^2-1 and q(x)=5(x-1), which expression is equivalent to (p-q)(x)?

ludmilkaskok [199]

Answer:

x² - 5x + 4

Step-by-step explanation:

note that (p - q)(x) = p(x) - q(x), thus

p(x) - q(x)

= x² - 1 - 5(x - 1) ← distribute parenthesis by - 5

= x² - 1 - 5x + 5 ← collect like terms

= x² - 5x + 4

8 0

3 years ago

Read 2 more answers

For f(x) = 4x+1 and g(x)=x^2-5 find (f + g)(x).​

For f(x) = 4x+1 and g(x)=x^2-5 find (f + g)(x).