The gas mileage (in mph) for a certain vehicle can be approximated by m(x)=-0.031x2+2.619x-35.027, where x is the speed of the vehicle in miles per hour Determine the speed at which the car gets its maximum gas mileage. Round your answer to the nearest mph.   I keep getting a negative answer which I know wouldn't make sense considering what they are asking for.

Question

The gas mileage (in mph) for a certain vehicle can be approximated by m(x)=-0.031x2+2.619x-35.027, where x is the speed of the vehicle in miles per hour

Determine the speed at which the car gets its maximum gas mileage. Round your answer to the nearest mph.

 

I keep getting a negative answer which I know wouldn't make sense considering what they are asking for.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Advanced Math

Related Advanced Math Q&A

Find answers to questions asked by students like you.

Q: which satisties Function M se calculus methods to find a =x; y'l0)=1 ylo)= =/ %3D A) x+x -1 B) -- 3....

A: Click to see the answer

Q: Let T be a linear operator on a finite-dimensional vector space V. Prove that the following subspace...

A: An invariant subspace W of T has the property, such that vectors v belongs to W.

Q: Label the following statements as true or false. (a) The function det: Mn×n(F) →F is a linear transf...

A: Hi! As per the norm we will be answering only first 3 sub-parts. If you need the solution of rest of...

Q: 3. Write out the first three terms and last term of the following sequence. Then find the indicated ...

A: According to the given information, the given sequence is:

Q: Write the statements in symbolic form using the symbols  ~, V and ^ and the indicated letters to rep...

A: Click to see the answer

Q: 4- 7x +x? f(x): 2 + 9x + 3x Find the horizontal asymptote(s). Select the correct choice below and, i...

A: Click to see the answer

Q: a. Find all functions from {0, 1} to {1}.b. Find two relations from {0, 1} to {1} that are not funct...

A: Click to see the answer

Q: Prove that the eigenvalues of an upper triangular matrix M are the diagonal entries of M.

A: Given that M is an upper triangular matrix of order n, then

Q: Find (- 3)BA + (6)CD, if possible. 3 - 5 5 4 -5 1 - 3 D= -2 1 - 1 2 2 3 6 9 - 4 1 Select the correct...

A: Click to see the answer

Q: Let A be an m ×n matrix and B be an n ×p matrix. Prove that AB can be written as a sum of n matrices...

A: Given that A be a mxn matrix and B be a nxp matrix.Now, prove that AB can be written as a sum of n m...

Q: Let U be a linear operator on a finite-dimensional inner product space V. If ||U(x)||= ||x||for all ...

A: Click to see the answer

Q: Calculate the least residues modulo 5 of 14, 24, 34, and 44.

A: Click to see the answer

Q: In this exercise a graph is used to help solve a scheduling problem. Twelve faculty members in a mat...

A: Given:Twelve faculty members in a mathematics department serve on the following committees.Undergrad...

Q: need some help understanding how solve quadratic congruence attached please.

A: Click to see the answer

Q: Use determinants to prove that if A,B ∈Mn×n(F) are such that AB =I, then A is invertible (and hence ...

A: According to the given information:Let A,B € Mn×n (F) such that AB=IIt is required to prove that A i...

Q: 4. Write the following using summation (E) or product (II) notation (a) (13 – 1) + (23 – 1) + (33 – ...

A: (a) Given:

Q: i have included a picture of the question i need help understanding.thank you in advance. please exp...

A: Let H and K are two subgroups of the group G.To show

Q: Assume that T is a linear operator on a complex (not necessarily finite-dimensional)inner product sp...

A: (a) Suppose T is self-adjoint. Then

Q: Determine all the 1-linear functions δ: M1×1(F)→F.

A: Given mapping is,

Q: Rewrite each of the statements as a conjunction of two if-then statements. This integer is even if, ...

A: Let p = This integer is even.q = This integer equals twice some integer.Then logically statement is ...

Q: Let A,B ∈Mn×n(C). (a) Prove that if B is invertible, then there exists a scalar c ∈C such that A + c...

A: (a) Given: Matrix B is invertible.

Q: 1. Foreach of the following sequences, write a formula for the generalterm. Then use the formula to ...

A: We need to write the general term of the following sequences.

Q: Prove that if a 1-dimensional subspace W of Rn contains a nonzero vector with all nonnegative entrie...

A: Let v be a nonzero vector with all non-negative entries in W and let d be the sum of all of its entr...

Q: For any square matrix A, prove that A and At have the same characteristic polynomial (and hence the ...

A: This can be done as follows:

Q: 8. Find the sum of the infinite geometric series below: 3 (a) 3 + 4 3 +... 42 (b) 3-1+- 3 9

A: Sum of infinite terms of GP where a is the first term and r such that -1<r<1 is the common rat...

Q: What is the arg(z) in radian?

A: It is given that z = 1/(1–i).

Q: Rewrite the statements in if-then form in two ways, one of which is the contrapositive of the other....

A: Suppose, we have a statement p that implies statement q. This would mean p is sufficient for q and q...

Q: A logical equivalence is derived from Theorem 2.1.1. Supply a reason for each step.

A: The logical equivalence is,

Q: Use truth tables to establish the truth of each statement: A conditional statement and its contrapos...

A: The objective is to show that A conditional statement and its contrapositive are logically equivalen...

Q: Taking the long view on your education, you go to the Prestige Corporation and ask what you should d...

A: “P only if Q” means “If P then Q”. Therefore, what the Personnel Director said was “If you are hired...

Q: Let E = {1, 2, 3} and F = {-2, –1, 0} and define a relation T from E to F as follows: For every (х, ...

A: Click to see the answer

Q: Let T be a linear operator on a vector space with a T-invariant subspace W. Prove that if v is an ei...

A: Click to see the answer

Q: Label the following statements as true or false. (a) If Ax = b is well-conditioned, then cond(A) is ...

A: Click to see the answer

Q: Rewrite the statements in if-then form in two ways, one of which is the contrapositive of the other....

A:     We need to rewrite the statement in if-then form in two ways, one of which is the contrapositive...

Q: Let U be a unitary operator on an inner product space V, and let W be a finite-dimensional U-invaria...

A: Click to see the answer

Q: Let C = {1, 2, 3, 4} and D = {a, b, c, d}. Define a function G: C→D by the following arrow diagram: ...

A: (a) Domain of the function G is set C. Co-domain of G is the set D.Thus, Domain = {1,2,3,4}Co-domain...

Q: 12. Solve the recurrence relation an = 2an 1 an-2- a. What is the solution if the initial terms are ...

A: The given recurrence relation is

Q: Use De Morgan’s laws to write negations for the statement Hal is a math major and Hal’s sister is a ...

A: Assume that ‘p’ represents the statement that Hal is a math major and ‘q’ represents the statement t...

Q: Let V be an inner product space, and suppose that x and y are orthogonal vectors in V. Prove that ||...

A: Let V be an inner product space.Let x and y are orthogonal are orthogonal vectors in V.

Q: Use De Morgan’s laws to write negations for the statement The train is late or my watch is fast.

A: Given:The statement is as follows: The train is late, or my watch is fast.

Q: Prove the statement; a – c is a divisor of ab + cd=→a – c is a divisor of ad + bc.

A: Click to see the answer

Q: Let p be “I will go to France” and let q be “I will learn French”. Give a simple verbal sentence whi...

A: According to the given information:p: I will go to France q: I will learn French ~q: I will not lear...

Q: Please find the question attached.

A: Click to see the answer

Q: Use De Morgan’s laws to write negations for the statement The dollar is at an all-time high and the ...

A: De Morgan’s laws:

Q: You would like to have $35,000 to spend on a new car in five years. You open a savings account witha...

A: Click to see the answer

Q: The cube root of any negative real number is negative.a. Given any negative real number s, the cube ...

A: It is given that the cube root of any negative real number is negative.

Q: Let W = span{(i, 0, 1)}) in C3. Find orthonormal bases for W and W⊥.

A: The orthonormal basis is calculated by dividing each of the entry of basis by the magnitude of the v...

Q: Let V be an inner product space, and let y, z ∈V. Define T: V →V by T(x) = <x, y>z for all x ∈...

A: Click to see the answer

Q: Please solve this question with a good explanation. It is Linear Algebra question.

A: Let W be the set of traceless matrices.

Q: QUESTION 8 Solve. For the geometric sequence 64, 16, 4, 1, ..., find a n- n-4 an in an an an = 4n-4 ...

A: Click to see the answer