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Sphinxa [80]
2 years ago
15

If f(x)=x2-2x and g(x)=6x=4, for which value of x does (f+g)(x)=0

Mathematics
2 answers:
zhenek [66]2 years ago
7 0
X = -2
hope it helps (: 
diamong [38]2 years ago
3 0

Answer:  The required value of x is - 2.

Step-by-step explanation:  We are given the following two functions :

f(x)=x^2-2x,~~~~~g(x)=6x+4.

We are to find the value of x for which (f + g)(x) = 0.

We know that for any two functions p(x) and q(x), the following property holds true :

(p+q)(x)=p(x)+q(x).

We have

(f+g)(x)=0\\\\\Rightarrow f(x)+g(x)=0\\\\\Rightarrow x^2-2x+6x+4=0\\\\\Rightarrow x^2+4x+4=0\\\\\Rightarrow (x+2)^2=0\\\\\Rightarrow x+2=0,~~~x+2=0\\\\\Rightarrow x=-2,~-2.

Thus, the required value of x is - 2.

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The perimeter of a rectangle is 36 m. If the length is three times the width, what is the length?
aniked [119]

Answer:

13.5 meters

Step-by-step explanation:

As the rectangle has 4 sides and the length is three times the width, each pair of a long side and a short side has a perimeter of 18 meters. As the ratio is 3:1, there are 4 parts in 18 meters, and 18 divided by 4=4.5. As the length covers 3 parts, and there are 4.5 meters per part, 4.5x3=13.5. The length of the rectangle is 13.5 meters. Hope it helps!

6 0
3 years ago
For f(x)=2x+1 and g(x)=x+14 , find (g o f) (x).
Nataliya [291]

Answer:

(g o f) (x) = 2x + 16

Step-by-step explanation:

" (g o f) (x) )" is called "the composition of f and g."

Evaluating this involves substituting the function f(x) = 2x + 1 for x in g(x) = x+14:

(g o f) (x) = 2(x+1) + 14, or

(g o f) (x) = 2x + 2 + 14, or

(g o f) (x) = 2x + 16

7 0
3 years ago
I really need help pleaseee
Dmitriy789 [7]

Answer:

P=163,487,500

Step-by-step explanation: P=Ae^(kt)

151000000=145000000*e^(k5)

151000000/14500000=e^(k5)

1.04137931=e^(k5)

Ln 1.04=Ln e^(k5)

0.04=k5

k= 0.008

P=145,000,000*e^(.008*15)

P=145,000,000*e^0.12

e=2.71828

P=145,000,000*1.12749685

p=163,487,500

6 0
2 years ago
PLEASE HELP IS THERE ANYONE ON THIS APP THAT CAN HELP!
Nesterboy [21]

Answer: The correct answer is 18cm

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Adam currently runs about 40 miles per week, and he wants to increase his weekly mileage by 30%. How many miles will Adam run pe
BigorU [14]

Answer:

52 miles/week (12 more miles per week)

Step-by-step explanation:

In order to know the miles per week with this increasement, we'll use the rule of 3, assuming that 40 miles is the 100% innitially so:

If:

40 miles --------->100%

X miles ----------> 30%

Solving for X we have the following:

X = 30 * 40 / 100 = 12 miles

So, if Adam wants to increase his weekly mileage by 30%, he needs to run 12 more miles, and that makes a total of 52 miles/week

6 0
2 years ago
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