Question
The torque (in ft-lb)producedby a certainautomobileengine turning at x thousand revolutions per minute is shown in the
table. Graph the points and then find a third-degree polynomial function to model the torque T(x) for lsxs 5.
Engine
speed
(1000 гpm)
Torque
(ft-lb)
1.0
165
1.5
180
2.0
188
2.5
190
3.0
186
3.5
176
4.0
161
4.5
142
5.0
120
View transcribed image text
Expand

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
Algebra

Related Algebra Q&A

Find answers to questions asked by students like you.

Q: 9. x2 – 16 (hint: special factoring case) 10. x2 - 2x -8 11. x3 – 5x² - 9x + 45 (hint: factor by gro...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Find the function of the form y = loga(x) whose graph is given. У 3 4 -1(1/6, –1) 2.

A: Click to see the answer

Q: 9.5.9 Assigned Media (a) Find the volume of the solid Find (a) the volume and (b) the surface area o...

A: The diameter of the sphere is =66 ft So radius = r= 66/2=33 ft  

Q: The entire graph of the function g is shown in the figure below. Write the domain and range of g usi...

A: We want to find out the domain and range of the function shown in the above graph.

Q: Simplify:  (8x4+ 2x3+2x)+ (2x +2 − 2x3− x4) − (x3 + 5x4+8x)

A: The given expression is

Q: Determine the area enclosed by the equations. y = - 2 1 y = 3* y = 0

A: We graph the region bounded by those equations using a graphing calculator.   

Q: Factor by grouping method:  42r3 − 49r2+ 18r − 21

A: GCF of the first two terms is 7r2, factor that out. And the GCF of last two terms is 3, factor this ...

Q: The entire graph of the function g is shown in the figure below. Write the domain and range of g usi...

A: Consider the graph of the function g

Q: Simplify the expression using logarithmic identities. log47 −log45

A: To simplify the given expression.  

Q: Gonna scored 75 goals in her soccer kicking practice. If her success -to-failure rate is 5:4 , how m...

A: Click to see the answer

Q: Find the real solutions of the equation.   9 - | 7x| = 5

A: Click to see the answer

Q: The diameter d of a sphere is twice the radius r. The volume of the sphere as a function of its radi...

A: a) d is twice the radius r  So, d=2r Answer(a): d=2r    

Q: For Exercise, solve the equation. 6 = 9 + V5 – 3x

A: Click to see the answer

Q: form a polynomial who's zeros are -4,4,1 and degree 3

A: Click to see the answer

Q: For Exercise, plot the points on a rectangular coordinate system. (5 7 A(-3, -4) B C(-1.2, 3.8) D(T,...

A: Click to see the answer

Q: The graph of y = f(x) is given. Solve the inequalities. a. f(x) 0 d. f(x) > 0 y = f(x)

A: Click to see the answer

Q: For Exercise, solve for the indicated variable. 16 + Vr – y = z for.

A: Click to see the answer

Q: For Exercise, solve for the indicated variable. for g T = 27,

A: To solve the given equation for the indicated variable.  

Q: 2) Simplify each of the following. Include the appropriate units. a) 30 millions dollars x 4 years 8...

A: Click to see the answer

Q: Help

A: (a) The given function is

Q: The carvings of the faces at Mount Rushmore in South Dakota measure 60 ft from chin to forehead. If ...

A: Let the approximate distance between the pupils on the carving of George Washington's head is = x ft...

Q: 13.V5 * V3

A: Click to see the answer

Q: a. Graph m(x) =x – 2 for x -2. 2 for x-2

A: Click to see the answer

Q: For Exercise, solve the inequality. Graph the solution set and write the solution set in set-builder...

A: LCM of 3,4 and 6 is =12 Multiply both sides by 12 to get rid of the fractions. 

Q: x – 1 for x < 1 lV- 1 for x 2 1 - 1 Graph f(x) =

A: Click to see the answer

Q: Gas mileage is tested for a car under different driving conditions. At lower speeds, the car is driv...

A: Click to see the answer

Q: Isaiah weighs 10 pounds more than his friend Geoff. If the sum of their weights is 360 ​pounds, how ...

A: Let x be Geoff’s weight in pounds. It is given, Isaiah weighs 10 pounds more than Geoff. Then Isaiah...

Q: 9.4.16 Assigned Media Question Help Determine (a) the area and (b) the perimeter of the quadrilatera...

A: Click to see the answer

Q: For Exercise, use long division to divide. 6x* + 3x – 7x + 6x – 5 2² + x – 3.

A: Here Dividend =          Divisor   =  We have to find Quotient and remainder By Long division meth...

Q: 11. x³ – 5x² – 9x +45 (hint: factor by grouping) -x3y2 - 6x2y³ (hint: first factor greatest factor)

A: GCF of first two terms is x^2, we factor it out.  GCF of last two terms is -9, we factor it out.  

Q: For Exercise, use the graph of y = f(x) to graph the given function. -3--y = f(x)- -5-4-32-1 y = f(x...

A: means the graph f(x) moved 2 units to the left, 3 units down and shrank by 1/2 vertically. So the ne...

Q: Give an example of a non-zero subspace of R^4 which has dimension &gt; 1 and does not contain any of...

A: Consider the example f(x) = {2 + x + x2}, this given polynomial has dimension 3 with the basis {1, x...

Q: Determine the type of graph Increasing Linear, Decreasing Linear, Positive Quadratic, Negative Quadr...

A: The type of this graph is increasing linear graph.

Q: For Exercise, the graph of y = f(x) is given. Graph the indicated function. Graph y = f(-x) + 3. y =...

A: y=f(-x)+3 means y=f(x) reflected over the y axis and moved 3 units up. So the new x will be -x and n...

Q: Consider the following. f(x) = 3x, g(x) = x² + 2 Find the function fog and its domain. (Enter your a...

A: Click to see the answer

Q: For Exercise, determine if the function is even, odd, or neither. f(x) = 3(x – 4)?

A: Given function

Q: Predict the general term, or nth term, a,, of the sequence. 'u, 3 4 5 6 7 19' 20' 21' 22' 23 an (Sim...

A: Consider the first series. The numerators and the denominators are the arithmetic series. Calculate ...

Q: The figure shown is a cube with 6-in. sides. Find the exact length of the diagonal through the inter...

A: Click to see the answer

Q: For Exercise, find the slope of the secant line pictured in red (1, 6) y = f(x), (5, 2)A -3-2-! 4 $

A: Click to see the answer

Q: Divide and write the answer in the form a + bi. 3 + 2i 4 - i

A: Click to see the answer

Q: Determine the restrictions on the variable. a – 6 a + 3

A: The denominator can never be equal to 0. Because any number divided by 0 is undefined.  

Transcribed Image Text

The torque (in ft-lb)producedby a certainautomobileengine turning at x thousand revolutions per minute is shown in the table. Graph the points and then find a third-degree polynomial function to model the torque T(x) for lsxs 5. Engine speed (1000 гpm) Torque (ft-lb) 1.0 165 1.5 180 2.0 188 2.5 190 3.0 186 3.5 176 4.0 161 4.5 142 5.0 120