Safe Driving Speeds The stopping distance d in feet for a car traveling at x miles per hour is given by d(x) = + Hr. Determine the driving speeds that correspond to stopping distances between 300 and 500 feet, inclusive. Round speeds to the nearest mile per hour.

Q: Use the first derivatives to find the local exterme of f(x) =x³ -12x on R

A: Given,  fx = x3-12x  We have to find the local extreme of fx = x3-12x on R.   

Q: Mila and her children went into a grocery store where they sell apples for $0.75 each and peaches fo...

A: Given that x represents the number of apples x and y represents the number of peaches.

Q: Approximate each expression to the nearest hundredth. 23 + 44 (a) V4.2(23.1 + 0.5*) (b) 85.1 - 32.9

A: To approximate the expressions to nearest hundredth,  

Q: Critical Thinking A graph of f(x) = ax² + bx + e is shown. (a) Is a positive, negative, or zero? (b)...

A: Quadratic equation refers to the equation having maximum power of 2. The general form of quadratic e...

Q: f is increasing on (a, b) of for all x1, x2 in (a, b) when x1 less than x2,f(x1) less than f(x2).

A:

Q: Use f(x) = 2x - 3 and g(x) = 4 - x2 to evaluate the expression. (a) (f ∘ g)(x)    (b) (g ∘ f)(x)

A: Given, fx=2x-3 and g(x)=4-x2 a) f∘gx f∘gx=24-x2-3               =8-2x2-3              =5-2x2 Thus, f...

Q: Need help with question 36, please

A: we have given f and g.  We have to find fg at x=-1/4

Q: Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to thre...

A: Consider the provided logarithm function, log58 Use the Change-of-Base Formula and a calculator to e...

Q: Solve the equation ln ex = 5

A: ln ex=5

Q: Solving Word Problems 1 In a school, the ratio of the number of boys to the number of girls is 3:2. ...

A: Unitary method

Q: Mark each of the following statements true or false: If cond(A) is small, then the matrix A is well-...

A: Given statement, If cond(A) is small, then the matrix A is well-conditioned. Matrix A can be written...

Q: (a) If f(x) = 3x+1 and g(x) = 2x+2 , graph f and g on the same Cartesian plane.(b) Find the point(s)...

A: The two functions f(x) and g(x) are exponential functions. Exponential functions are the functions o...

Q: 9- x: 2 4. 8. Graph the line with slope 1 passing through the point (1, – 5).

A:

Q: (a) graph each quadratic function by determining whether its graph opens up or down and by finding i...

A: f(x) = x2 - 4x + 6 Quadratic equation is in the form of ax2+bx+c The value of a=1. So the graph of p...

Q: In Problems 63–74, the function f is one-to-one. (a) Find its inverse function   f -1 and check your...

A: Given function is: fx=23+x Let y = f(x) Then we get, y=23+x⇒3+x=2y⇒x=2y-3⇒x=2-3yy Hence the inverse ...

Q: 1+1 = ?

A: 1+1=2

Q: Find the equation of the circle that passes through the origin and has its center at (-6, 0).

A: the circle that passes through the origin and has its center at (-6, 0). Center of the circle is (-6...

Q: For the given linear function, make a table of values and sketch its graph. What is the slope of the...

A: Given f(x)=2x-5

Q: Thirteen students took an exam and scored an average of 70%. Two other students took the exam late, ...

A: Given data set: Thirteen students took an exam and scored an average of 70% Two other students took ...

Q: Let Q denote the field of rational numbers, R the field of real numbers, and C the field of complex ...

A: Consider the given polynomial fx=x2-2. Substitute x=2 in the given polynomial, f2=22-2=2-2=0 Substit...

Q: graph each parabola. y = -(x + 4)2 + 1

A: Solution: Consider the given equation of parabola is: y=-x+42 +1 Further simplifying the equation we...

Q: graph each hyperbola. y2 - 4x2 = 9

A: Given equation is: y2-4x2=9 Then we get, y29-4x29=1⇒y29-x294=1⇒y232-x2322=1 The above is the equatio...

Q: Geometry A cylindrical aluminum can is being constructed to have a height h of 4 inches. If the can ...

A: Given that a cylinder is being constructed to have a height “h” of 4 inches and volume of the cylind...

Q: What rate of interest compounded quarterly will yield an effective interest rate of 7%?

A: Effective interest rate=1+inn-1

Q: AABC - DEF. What sequence of transformations will move AABC onto ADEF? C(-4,6) 6. 4 3 B(-4, 2) A(-2,...

A:

Q: Determine the simple interest rate at which $2400 will grow to $2532 in 8 months. (Round your answer...

A:

Q: Find the domain of the function.

A: Given function is gx=2x2+5x+32x2-5x-3. To find the domain of the function. Solution: Domain is the i...

Q: 2- 1 3 -1 2 -2 -3 3.

A:

Q: graph each hyperbola. 5x2 - 2y2 = 20

A: Equation of hyperbola is 5x2-2y2=20. To graph the given hyperbola. Solution: We know that standard e...

Q: Which tem of the sequence-1,3,7,11,.is 95 ?

A:

Q: Given f(x) = 3x + 8 and g(x) = x - 5, find (f + g) (x), ( f - g) (x), ( f . g ) (x), and a(f/g) (x)....

A: Given functions are f(x)=3x+8,g(x)=x-5. Both are polynomial functions hence defined for all real num...

Q: Let a ≠ b in a field F. Show that x + a and x + b are relatively prime in F[x].

A: Definition of relatively prime: A polynomial in fx and gx in Fx is said to relatively prime if the g...

Q: Jerome will be buying a used car for $15,000 in 3 years. How much money should he ask his parents fo...

A: Given, Future value  A=$15,000           Interest r=0.05           Time t=3 To find the Present Valu...

Q: Given two functions f and g, the , ____________, ________ denotedf ∘ g, is defined by (f ∘ g) (x) = ...

A: The given statement is  Given two functions f and g, the , ____________, ________ denotedf ∘ g, is...

Q: Change the logarithmic statement to an equivalent statement involving an exponent. ln x = 4

A: A logarithm is the power to which a number must be raised in order to get some other number. Example...

Q: Need help with this?

A: The explanation is shown below...  

Q: Worksheet 9 Solving Word Problems 1 The ratio of the number of apples to the number of oranges at a ...

A:

Q: What kind(s) of symmetry does the graph of y2 = x2 + 6 exhibit?

A: The given equation is y2 = x2 + 6. known fact: 1. The graph of given equation is symmetric with resp...

Q: Find a polar equation that has the same graph as the equation in x and y.y2 = 6x

A: Given,                equation -: y2=6xThe relation between polar coordinates (r,θ)and certesian coo...

Q: Find the inverse function of f. f(x) = x6, x ≥ 0

A: A function is a relation between set of input values and the output values. For the given function, ...

Q: Find the accumulated amount A if the principal P is invested at the interest rate of r/year for t ye...

A: By using compund interest formula  Accumulated amount is given by  A = p(1+r/n)^nt  Where p = Princi...

Q: 2. VI MIN

A:

Q: Determine the rate that represents the better deal. 6% compounded quarterly or 6 (1/4) , compounded ...

A: The first rate of interest, r1=6% compounded quarterly. Then, the number of terms for r1 is n1=4. Th...

Q: Graph each of the following functions:y = (x2 - 1) / (x - 1 )                    y = (x3 - 1)/(x - 1...

A: Consider the given information. y=x2-1x-1 Use the graphing calculator to draw the first graph.

Q: In Question,determine whether the definition gives a norm.

A: p(x)=p(0)+p(1)-p(0) for p(x) in P1

Q: (1 point) If a = i +j+ 3k and b =i+j+2k Compute the cross product a x b. axb 0 i+0 01

A:

Q: Line AB is a straight line. What is the measurement of angle ADC for the following figure? 2x +2 5x ...

A: In the given figure angle ADC can be found as below

Q: Solve: 3x/(3x + 1) = x - 2

A: Given: 3x3x+1=x-2 Formula (Quadratic) used: x=-b±b2-4ac2a

Q: perform the indicated operations and express the answers in simplified form. (3x + 4)/6 - (5x - 1)/9

A: Given, y=3x+46-5x-19 now simplify given expression y=9(3x+4)-6(5x-1)54y=27x+36-30x+654y=42-3x54 y=14...

Q: Algebra Question

A: We have to simplify