HELP ME PLEASEEEEEEEEEEE

If f(x)=2x^2+3x+1 and g(x)=x+5, what would f(g(x))

Fantom [35]

Answer: The answer is $2x^2+23x+66.$

Step-by-step explanation: The given functions are

$f(x)=2x^2+3x+1,\\\\g(x)=x+5.$

We are to find f(g(x)). To do this, first we need to evaluate g(x) and then we will apply the function f on the resulting function.

The evaluation is as follows:

$f(g(x))=f(x+5)=2(x+5)^2+3(x+5)+1=2(x^2+10x+25)+3x+15+1\\\\\Rightarrow f(g(x))=2x^2+23x+66.$

Thus, the correct answer is $2x^2+23x+66.$

5 0

3 years ago

Read 2 more answers

you ride your bike around the neighborhood block eight times a day after school. The distance around the neighborhood block is 3

LiRa [457]

8(3980)(5) = 159200
1 mile = 5280 ft
30.15 miles per week

3 0

3 years ago

Someone pls help me plsss

Lelu [443]

Answer:

A) 2 5/12

Step-by-step explanation:

The word MORE refers to subtraction. If you know how to calculate fractions. Great! You should know what 2 3/4 - 1/3 equals. But if you do not:

You can use a regular calculator. Just convert everything to decimals. ( "/" means divide)

3/4 (3÷4) = 0.75 (dont forget the 2 since is has 2 3/4) so 2.75.

1/3 (1÷3) = 0.333 (underline or overline (above the number) means that number repeats. if you are using a calculator. just max the numbers out till you can put it anymore.

2.75 - 0.3 = 2.416. Now you dont know what that 416 is so just subtract the answers until it matches.

B) 1 ÷ 12 = 0.83. well it isnt 416 so that isnt right.

4 ÷ 7 = 0.571... (... means a bunch of numbers that go on and on.) again that isnt correct. Now lets try A):

5 ÷ 12 = 0.416!

Hope this helps!

~R3VO

6 0

3 years ago

Round each decimal 32.62 tenths place

Tresset [83]

Answer:

32.6

Step-by-step explanation:

Look at the decimal in the hundredths place in 32.62

If the number is 0-4, round down. If the number is 5-9, round up.

In 32.62, the number in the hundredths place is 2. So, we round down to 32.6

3 0

3 years ago

Look at the system of equations below.

Annette [7]

Answer:

Substitution and graphing are less efficient methods than elimination for this system as there is extra amount of steps we have to take to solve the same system of equations - hence time consuming and a margin or error may happen. Therefore, elimination is the suitable method for solving this system.

Step-by-step explanation:

Let us consider the system of equation below.

$4x-5y=3$

$3x+5y=13$

Elimination method sounds the most appropriate option to solve the given system of equations as we can easily sort out an equation in one variable x in minimal steps by just adding the both equations as the y-coefficient in the first equation is the opposite of the y-coefficient in the second equation, and we can determine an equation in one variable x.

Adding both equations will eliminate the y-variable and we can easily sort out the value of x from the resulting equation.

As the given system of equation

$4x-5y=3$ $......[1]$

$3x+5y=13$ $......[2]$

Adding Equation 1 and Equation 2

$4x-5y+3x+5y=3+13$

$7x=16$

$x=$ $\frac{16}{7}$

Putting $x=$ $\frac{16}{7}$ in Equation [1]

$4x-5y=3$ $......[1]$

$y=$ $\frac{43}{35}$

Although substitution or graphing methods can also be used to bring the solution of the given system of equations, but using substitution or graphing method can be sometimes cumbersome or time-consuming as it would have to take some additional steps to solve the system.

For example, if we would have to use the substitution methods to solve the given system of equations, first we would have to solve one of the equations by choosing one of the equation for one of the chosen variables and then putting this back into the other equation, and solve for the other, and then back-solving for the first variable.

As the given system of equation

$4x-5y=3$ $......[1]$

$3x+5y=13$ $......[2]$

Solving the equation 2 for x variable

$3x=13-5y$

$x=\frac{13-5y}{3}$

Plugging $x=\frac{13-5y}{3}$ in equation [1]

$4(\frac{13-5y}{3}) -5y=3$

$y = \frac{43}{35}$

Putting $y = \frac{43}{35}$ in Equation 2

$3x+5y=13$ $......[2]$

$x = \frac{16}{7}$

So, you can figure out, we have to make additional steps when we use substitution method to solve this system of equations.

Similarly, using graphing method, it would take a certain time before we identify the solution of the system.

Hence, from all the discussion and analysis we did, we can safely say that substitution and graphing are less efficient methods than elimination for this system as there is extra amount of steps we have to take to solve the same system of equations - hence time consuming and a margin or error may happen.

Therefore, we agree with the student argument that Elimination is the best method for solving this system because the y-coefficient in the first equation is the opposite of the y-coefficient in the second equation.

Keywords: substitution method, system of equations, elimination method

Lear more about elimination method of solving the system of equation from brainly.com/question/12938655

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4 0

3 years ago