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
Vedmedyk [2.9K]
2 years ago
14

Can someone explain to me the steps how they got 2 √4^2+2x-3-2 from this question…

Mathematics
1 answer:
Naddik [55]2 years ago
6 0

Step-by-step explanation:

with your square root symbol I never know what is inside the square root and what is possibly outside.

so, I can only guess and see what comes close.

f(x) = 2x² + x - 1

g(x) = sqrt(2x - 1) ??? is that so ?

h(x) = -2

2g(f(x)) + h(x)

g(f(x)) means that the whole f(x) expression is used as x in g(x).

the whole combined function is then

2×sqrt(2(2x² + x - 1) - 1) - 2

2×sqrt(4x² + 2x - 2 - 1) - 2

2×sqrt(4x² + 2x - 3) - 2

and if I am not mistaken, then this is the solution you mentioned at the beginning (if I try to read between the typos and missing info).

this is how people get to this.

do you understand it now ? or is there still something unclear ?

You might be interested in
All are equivalent except x<-2, x-2<4, 2x<-4, x-2<-4 ?
m_a_m_a [10]
To figure out which is not equivalent to the others,, we must solve each option provided. x < -2 is already solved,, so there is no need to do any work that option.
The first step for solving x - 2 < 4 is to move the constant to the right side and then change its sign.
x < 4 + 2
Now add the numbers together to get your final answer.
x < 6
This means that we have one option that equals x < -2 and one option that equals x < 6.
Let's now solve 2x < -4 to see what that one equals. In order to solve this,, we need to divide both sides of the inequality by 2.
x < -2
Now we can see that it looks like all of the expressions are equivalent except for x - 2 < 4. Before we can confirm this though,, let's solve for x - 2 < -4. The first step for solving this is to move the constant to the right side and change its sign.
x < -4 + 2
Now calculate the sum of these two numbers to get your final answer.
x < -2
This tells us that all of the options are equivalent except for x - 2 < 4,, or option B.
Let me know if you have any further questions.
:)
4 0
3 years ago
If a train travel a 200 miles in 2.5 hours what is the rate of speed
ivanzaharov [21]
Do distance divided by time to get the speed.
200 / 2.5 = 80.
The speed is 80 miles per hour(mph).

Hope this helps :)
3 0
2 years ago
Factor 81z^4 - 16<br> Please answer asap
Oksanka [162]

81x%5E4-16 Start with the given expression.

%289x%5E2%29%5E2-16 Rewrite 81x%5E4 as %289x%5E2%29%5E2.

%289x%5E2%29%5E2-%284%29%5E2 Rewrite 16 as %284%29%5E2.

Notice how we have a difference of squares A%5E2-B%5E2 where in this case A=9x%5E2 and B=4.

So let's use the difference of squares formula A%5E2-B%5E2=%28A%2BB%29%28A-B%29 to factor the expression:

A%5E2-B%5E2=%28A%2BB%29%28A-B%29 Start with the difference of squares formula.

%289x%5E2%29%5E2-%284%29%5E2=%289x%5E2%2B4%29%289x%5E2-4%29 Plug in A=9x%5E2 and B=4.

So this shows us that 81x%5E4-16 factors to %289x%5E2%2B4%29%289x%5E2-4%29.

In other words 81x%5E4-16=%289x%5E2%2B4%29%289x%5E2-4%29.

Now let's factor 9x%5E2-4 further

-------------------------------------

 

9x%5E2-4 Start with the given expression.

%283x%29%5E2-4 Rewrite 9x%5E2 as %283x%29%5E2.

%283x%29%5E2-%282%29%5E2 Rewrite 4 as %282%29%5E2.

Notice how we have a difference of squares A%5E2-B%5E2 where in this case A=3x and B=2.

So let's use the difference of squares formula A%5E2-B%5E2=%28A%2BB%29%28A-B%29 to factor the expression:

A%5E2-B%5E2=%28A%2BB%29%28A-B%29 Start with the difference of squares formula.

%283x%29%5E2-%282%29%5E2=%283x%2B2%29%283x-2%29 Plug in A=3x and B=2.

So this shows us that 9x%5E2-4 factors to %283x%2B2%29%283x-2%29.

In other words 9x%5E2-4=%283x%2B2%29%283x-2%29.

----------------------------------------------------------------

Answer:

So 81x%5E4-16 completely factors to %289x%5E2%2B4%29%283x%2B2%29%283x-2%29

3 0
2 years ago
If 2 dice are rolled at the same time, what is the probability of the 2 dice having the same face
statuscvo [17]
Total number of possible results of rolling 2 dice = 6 x 6 = 36

Total number of ways they can both show the same face = 6

Probability of showing the same face = 6/36 = <u>1/6</u> = 16 and 2/3 percent.
7 0
3 years ago
Can someone please help me???<br><br> a is 3/4<br> b is -8<br> c is -2<br> d is 3
Pavel [41]

Answer:

-b[a + (c-d)^2]

-(-8)[3/4 + (-2 -3)^2]

8 [3/4 + (-5)^2]

8 [3/4 + 25]

8 [25.75]

206

5 0
3 years ago
Read 2 more answers
Other questions:
  • The graph of f(x)=x^2 is shown.
    7·1 answer
  • Hayley is 5feet 5 inches tall. What is tis i metres to the nearest centimetre
    10·1 answer
  • Lin runs for 25 seconds at 8.2 meters per second. what is her finish point
    12·2 answers
  • A specific factor having a range of possible values is a __________.
    15·2 answers
  • Helppppppppp mathhhhhhhh
    5·1 answer
  • Find the mean and median of these data 2,5,9,11,17,19
    6·2 answers
  • HELPP THIS ISNT MINE THIS MY SISAND I DONT LIKE LATH SOHELP PLEASE BECAUSE IT DUE NOW ASP!!!!
    5·2 answers
  • In Gwinnett, the sales tax is 6%. You buy a watch that costs $45.50. What is the TOTAL cost including tax?
    15·1 answer
  • Which triangles are similar to ABE?
    8·1 answer
  • Find the degree measure of each angle.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!