Login
Premium
Home Question Bank Math Algebra
Question
upstudy study bank question image url

Simplify the expression \( 16 x+2 y^{2}-7 x+4 y^{2} \) by combining like terms.

Ask by Cruz Cox. in Brazil
Feb 19,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

A expressão simplificada é \(9x+6y^{2}\).

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Bonus Knowledge

To simplify the expression \( 16 x + 2 y^{2} - 7 x + 4 y^{2} \), we start by combining the like terms. First, let's group the terms involving \( x \): - \( 16 x - 7 x = 9 x \) Next, we combine the terms involving \( y^{2} \): - \( 2 y^{2} + 4 y^{2} = 6 y^{2} \) Now, put it all together: \[ 9 x + 6 y^{2} \] So, the simplified expression is \( 9 x + 6 y^{2} \).

Related Questions

An animal breeder can buy four types of food for Vietnamese pot-bellied pigs. Each case of Brand A contains 25 units of fiber, 40 units of protein, and 40 units of fat. Each case of Brand B contains 100 units of fiber, 130 units of protein, and 110 units of fat. Each case of Brand C contains 275 units of fiber, 350 units of protein, and 310 units of fat. Each case of Brand D contains 200 units of fiber, 260 units of protein, and 200 units of fat. How many cases of each brand should the breeder mix together to obtain a food that provides 3975 units of fiber, 5100 units of protein, and 4440 units of fat? Brand B, z represent the number of cases of Brand C, and \( w \) represent be the number of cases of Brand D. There are four ways in which the breeder can mix brands to obtain a food that provides 3975 units of fiber, 5100 units of protein, and 4440 units of fat. If \( w=0 \), the solution is \( (0,15,9,0) \). If \( w=1 \), the solution is \( (1,10,10,1) \). If \( w=2 \), the solution is \( (\square, \square, \square, 2) \).
Algebra United States Feb 22, 2025
Solve for \( w \) \[ -39=2(w+3)+3 w \] Simplify your answer as much as possible.
Algebra United States Feb 22, 2025
The stopping distance for a car traveling 25 mph is 69.2 feet, and for a car traveling 40 mph it is 112 feet. The stopping distance in feet can be described by the equation \( \mathrm{y}=\mathrm{ax} 2+\mathrm{bx} \), where \( x \) is the speed in mph. (a) Find the values of a and b . (b) Use the answers from part (a) to find the stopping distance for a car traveling 60 mph . \( \left[\begin{array}{ll|l}625 & 25 & 69.2 \\ 1600 & 40 & 112\end{array}\right] \) (Type whole numbers.) The value of a is \( \square \). The value of b is \( \square \). (TvDe inteaers or decimals rounded to six decimal places as needed.)
Algebra United States Feb 22, 2025
An animal breeder can buy four types of food for Vietnamese pot-bellied pigs. Each case of Brand A contains 25 units of fiber, 40 units of protein, and 40 units of fat. Each case of Brand B contains 100 units of fiber, 130 units of protein, and 110 units of fat. Each case of Brand C contains 275 units of fiber, 350 units of protein, and 310 units of fat. Each case of Brand D contains 200 units of fiber, 260 units of protein, and 200 units of fat. How many cases of each brand should the breeder mix together to obtain a food that provides 3975 units of fiber, 5100 units of protein, and 4440 units of fat? Let \( x \) represent the number of cases of Brand A, y represent the number of cases of Brand B, z represent the number of cases of Brand C, and w represent be the number of cases of Brand \( D \). There are four ways in which the breeder can mix brands to obtain a food that provides 3975 units of fiber, 5100 units of protein, and 4440 units of fat. If \( w=0 \), the solution is \( (0,15,9,0) \). If \( w=1 \), the solution is \( (\square, \square, \square, 1) \).
Algebra United States Feb 22, 2025
An animal breeder can buy four types of food for Vietnamese pot-bellied pigs. Each case of Brand A contains 25 units of fiber, 40 units of protein, and 40 units of fat. Each case of Brand B contains 100 units of fiber, 130 units of protein, and 110 units of fat. Each case of Brand C contains 275 units of fiber, 350 units of protein, and 310 units of fat. Each case of Brand D contains 200 units of fiber, 260 units of protein, and 200 units of fat. How many cases of each brand should the breeder mix together to obtain a food that provides 3975 units of fiber, 5100 units of protein, and 4440 units of fat? cases of Brand D. There are four ways in which the breeder can mix brands to obtain a food that provides 3975 units of fiber, 5100 units of protein, and 4440 units of fat. If \( w=0 \), the solution is \( (0,15,9,0) \). If \( w=1 \), the solution is \( (1,10,10,1) \). If \( w=2 \), the solution is \( (2,5,11,2) \). If \( w=3 \), the solution is \( (\square, \square, \square, 3) \).
Algebra United States Feb 22, 2025

Latest Algebra Questions

The stopping distance for a car traveling 25 mph is 69.2 feet, and for a car traveling 40 mph it is 112 feet. The stopping distance in feet can be described by the equation \( \mathrm{y}=\mathrm{ax} 2+\mathrm{bx} \), where \( x \) is the speed in mph. (a) Find the values of a and b . (b) Use the answers from part (a) to find the stopping distance for a car traveling 60 mph . \( \left[\begin{array}{ll|l}625 & 25 & 69.2 \\ 1600 & 40 & 112\end{array}\right] \) (Type whole numbers.) The value of a is \( \square \). The value of b is \( \square \). (TvDe inteaers or decimals rounded to six decimal places as needed.)
Algebra United States Feb 22, 2025
The stopping distance for a car traveling 25 mph is 69.2 feet, and for a car traveling 40 mph it is 112 feet. The stopping distance in feet can be described by the equation \( \mathrm{y}=\mathrm{ax}^{2}+\mathrm{bx} \), where x is the speed in mph. (a) Find the values of a and b . (b) Use the answers from part (a) to find the stopping distance for a car traveling 60 mph . (a) Write the augmented matrix that will be used to find the values of a and b . \( [\square \square 69.2 \) \( \square \) (Type whole numbers.) (Ty
Algebra United States Feb 22, 2025
Solve for \( w \) \[ -39=2(w+3)+3 w \] Simplify your answer as much as possible.
Algebra United States Feb 22, 2025
\( \left. \begin{array} { l } { 102 ^ { x } - 2 ^ { y + 2 } = 0 } \\ { x ^ { 2 } + 2 x y + y ^ { 2 } = 36 } \end{array} \right. \)
Algebra South Africa Feb 22, 2025
An animal breeder can buy four types of food for Vietnamese pot-bellied pigs. Each case of Brand A contains 25 units of fiber, 40 units of protein, and 40 units of fat. Each case of Brand B contains 100 units of fiber, 130 units of protein, and 110 units of fat. Each case of Brand C contains 275 units of fiber, 350 units of protein, and 310 units of fat. Each case of Brand D contains 200 units of fiber, 260 units of protein, and 200 units of fat. How many cases of each brand should the breeder mix together to obtain a food that provides 3975 units of fiber, 5100 units of protein, and 4440 units of fat? cases of Brand D. There are four ways in which the breeder can mix brands to obtain a food that provides 3975 units of fiber, 5100 units of protein, and 4440 units of fat. If \( w=0 \), the solution is \( (0,15,9,0) \). If \( w=1 \), the solution is \( (1,10,10,1) \). If \( w=2 \), the solution is \( (2,5,11,2) \). If \( w=3 \), the solution is \( (\square, \square, \square, 3) \).
Algebra United States Feb 22, 2025
Prev Next
Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy