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3 years ago

Let f(x) = -3x and g(x) = 2x-1 Find the following: (fog)(1)

Mathematics

2 answers:

Luba_88 [7]3 years ago

6 0

Step-by-step explanation:

steps are in picture above.

Note : if you have any confusion let me know.

Elina [12.6K]3 years ago

5 0

9514 1404 393

Answer:

-3

Step-by-step explanation:

$(f\circ g)(1) = f(g(1)) = f(2\cdot1-1) = f(1)=-3\cdot1\\\\\boxed{(f\circ g)(1)=-3}$

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Plzz Help !!!! What í the equation of (2x+y)^3 ???

Murljashka [212]

If you are talking about the binomial being expanded then it would be:

8x^3 + 12x^2y + 6xy^2 + y^3

The y in the second term is not part of the exponent

And since you are raising the binomial to the third, you would be using the third row of Pascal's triangle.

Hope this helped!

4 0

2 years ago

Find the length of the side of a square whose area is 2500 sq. cm PLS FIND ITS ANSWER............................

Sunny_sXe [5.5K]

Answer:

50cm

Step-by-step explanation:

The length of the square is the sway are root of its area.

square root of 2500 Is 50cm

Hope this helps.

Good Luck

4 0

3 years ago

Read 2 more answers

Explain how to multiply the following whole numbers 21 x 14

Lesechka [4]

Answer:

$\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}$

________

$\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}$

Step-by-step explanation:

Given

$21\:\times \:14$

Line up the numbers

$\begin{matrix}\space\space&2&1\\ \times \:&1&4\end{matrix}$

Multiply the top number by the bottom number one digit at a time starting with the ones digit left(from right to left right)

Multiply the top number by the bolded digit of the bottom number

$\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}$

Multiply the bold numbers: 1×4=4

$\frac{\begin{matrix}\space\space&2&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}}{\begin{matrix}\space\space&\space\space&4\end{matrix}}$

Multiply the bold numbers: 2×4=8

$\frac{\begin{matrix}\space\space&\textbf{2}&1\\ \times \:&1&\textbf{4}\end{matrix}}{\begin{matrix}\space\space&8&4\end{matrix}}$

Multiply the top number by the bolded digit of the bottom number

$\frac{\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&8&4\end{matrix}}$

Multiply the bold numbers: 1×1=1

$\frac{\begin{matrix}\space\space&\space\space&2&\textbf{1}\\ \space\space&\times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&\space\space&8&4\\ \space\space&\space\space&1&\space\space\end{matrix}}$

Multiply the bold numbers: 2×1=2

$\frac{\begin{matrix}\space\space&\space\space&\textbf{2}&1\\ \space\space&\times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&\space\space&8&4\\ \space\space&2&1&\space\space\end{matrix}}$

Add the rows to get the answer. For simplicity, fill in trailing zeros.

$\frac{\begin{matrix}\space\space&\space\space&2&1\\ \space\space&\times \:&1&4\end{matrix}}{\begin{matrix}\space\space&0&8&4\\ \space\space&2&1&0\end{matrix}}$

adding portion

$\begin{matrix}\space\space&0&8&4\\ +&2&1&0\end{matrix}$

Add the digits of the right-most column: 4+0=4

$\frac{\begin{matrix}\space\space&0&8&\textbf{4}\\ +&2&1&\textbf{0}\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\textbf{4}\end{matrix}}$

Add the digits of the right-most column: 8+1=9

$\frac{\begin{matrix}\space\space&0&\textbf{8}&4\\ +&2&\textbf{1}&0\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{9}&4\end{matrix}}$

Add the digits of the right-most column: 0+2=2

$\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}$

Therefore,

$\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}$

________

$\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}$

6 0

3 years ago

joel is laying pipe for a sprinkler system before he plants his lawn . the lawn is a rectangle, 15 feet long and 8 feet wide. he

Nadya [2.5K]

Answer:

The length of the pipe = 17 feet

Step-by-step explanation:

length = 15 feet

width = 8 feet

Pythagorean theorem,

(diagonal)² = (length)² +(width)² {all angles of rectangle are 90°}

= 15² + 8²

= 225 + 64 = 289

diagonal = √289 = √ 17 * 17

= 17 feet

7 0

3 years ago

Please help asap 25 pts

Damm [24]

2y -3 >-1

2y > 2
y > 1

OR

1 > Y

Y < 1

Since it is only one, D is the correct answer

5 0

3 years ago

Read 2 more answers