1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bond [772]
3 years ago
5

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

Mathematics
2 answers:
Sholpan [36]3 years ago
7 0

Answer:  The required value of x is -2.

Step-by-step explanation:  We are given the expressions for two functions f(x) and g(x) as follows :

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

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

We know that

for any two functions p(x) and q(x),

(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+\times2x+2^2=0\\\\\Rightarrow (x+2)^2=0\\\\\Rightarrow x+2=0,~~x+2=0\\\\\Rightarrow x=-2.

Thus, the required value of x is -2.

alekssr [168]3 years ago
5 0
     <span> G(f(x)) = 2(x^2 -1) + 3

= 2x^2 + 1

subsitute 2

= 9

Hence, the answer is 9</span>
You might be interested in
A study studied the birth weights of 1,278 babies born in the united states. the mean weight was 3234 grams with a standard devi
babymother [125]
<span>1220 Subtracting the lower boundary of 1492 grams from the mean of 3234 gives you 1742 grams below the mean. Dividing 1742 by the standard deviation of 871 gives you 2 standard deviations below the curve. Now doing the same with the upper limit of 4976 grams also gives you 2 standard deviations above the mean (4976-3234)/871 = 2 So you now look for what percentage of the population lies within 2 standard deviations of the mean. Standard lookup tables will indicate that 95.4499736% of the population will be within 2Ď of the mean. So multiply 1278 by 0.954499736 giving 1219.851. Then round to the nearest whole number and you have an estimated 1220 babies that weigh between 1492 grams and 4976 grams.</span>
6 0
3 years ago
Read 2 more answers
First examples pt 1 no one answer
andrew11 [14]

Answer:

  It takes the second worker 11 hours to do the job alone  

Step-by-step explanation:

The problem tells you how to work it.

  \dfrac{1}{11}+\dfrac{1}{x}=\dfrac{2}{11}\\\\x+11=2x \qquad\text{multiply by 11x}\\\\11=x \qquad\text{subtract x}

x = 11 tells you the second worker takes 11 hours to do the job alone.

_____

You can also work directly with the fractions. Subtract 1/11 and you have ...

  1/x = 1/11

It should not be a real stretch to see that x=11. If you need, you can multiply both sides by 11x to get 11=x.

3 0
3 years ago
Help i still dont understand
VladimirAG [237]

Answer:

1. c

2. a

3. d

4. b

Step-by-step explanation:

For 1, use parchment paper for rotating it around the origin.

For 2, just make the y value positive.

For 3, add 13 to the y value.

For 4, use process of elimination with the answer choices.

(I know right, horrible explanation but you wanted the answers right?)

4 0
3 years ago
If 5^2x = 1, what is the value of 'x' ?​
SVETLANKA909090 [29]

Answer:

x = 0

Step-by-step explanation:

5^0 is 1, meaning that x must equal to 0 for the answer to be 5^0.

6 0
2 years ago
Read 2 more answers
A cone has a height of 5 inches and a radius of 4 inches. What is its volume?
Yuki888 [10]

9514 1400 393

Answer:

  83.73 in³

Step-by-step explanation:

It is appropriate to use the formula for the volume of a cone:

  V = (1/3)πr²h

  V = (1/3)(3.14)(4 in)²(5 in) ≈ 83.73 in³

The volume of the cone is about 83.73 in³.

5 0
3 years ago
Other questions:
  • Given y = 210(0.88)x what is the decay rate?
    9·1 answer
  • Help please Idk how to do it
    6·1 answer
  • Write another way to break apart the array to find the product 7 times 3
    13·1 answer
  • Priscilla can make 4 bracelets in 12 minutes. At this rate, how many bracelets can she make in 48 minutes?
    6·1 answer
  • How do i find the slope of a line??
    15·2 answers
  • May someone pleeeease help me
    7·2 answers
  • A road has a scale of 1:50 000 The length of a road on the map is 8.5cm.Work out the length of the real road in kilometres
    5·1 answer
  • The sum of two numbers makes thirteen and their difference is 7
    12·2 answers
  • I need help plsssssssss
    13·1 answer
  • 2 1/2- 1 2/5 this question I am stuck on some one please help :)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!