A rectangular parking lot with a perimeter of 480 feet is to have an area of at least 6800 square feet. Within what bounds must the length of the rectangle lie (in feet)? (Round your answers

Q: Find the domain for each of the following express your answer in interval notation. a.)…

A:

Q: Let f(r) = Va+1and g(x) = 2x – 5. Find fog and gof, and their respective domains. 1. (f o g)(x) = 2.…

A: The domain of the function is the set of all values for which the function is defined. f∘gx=f(g(x))…

Q: Suppose that the cost C (in dollars) of removing p percent of the particulate pollution from the…

A:

Q: 3. True or False A test number for the interval -2 <x < 5 could be 4.

A: Given :                                       A test number for the…

Q: Which one of the following is NOT true? Square brackets are used in interval notation when the…

A: An inequality is a mathematical statement used to relate two unequal expressions. The inequality is…

Q: In chemistry the volume for a certain gas is given by V=30TV=30T, where VV is measured in cc and TT…

A: Given that, In chemistry the volume for a certain gas is given by V=30T, where V is measured in c…

Q: write the domain in interval notation. g(t)=3square root of t-8

A: To find the domain of the function.

Q: g(x)=6x+12/6x+24 write the domain in interval noatation

A: Given:     To determine: domain in interval notation

Q: If 120 feet of fence is to be used to enclose a rectangular yard, then the resulting area of the…

A: The resulting area of the fenced yard is given by, A = x(60 − x), where x is the width of the…

Q: Sketch the interval (a,b) on the x-axis with the point c inside. Then find the largest value of 8>0…

A: Here we will sketch the interval and find largest possible value for δ,

Q: Final answer in interval notation

A: Answer and explanation is given below...

Q: wrie the domain in interval notation. f(x)=1/square root of 8-x

A: Recall that, "only nonnegative number can have the even root". So, the radicand 8-x in the…

Q: Suppose

A:

Q: 30. What is the maximum value of f(x) = x-2x-2x2-7 on the interval -2 < x < 5? (A) 17 (В) 89 (С) 318…

A: If we have a function f(x), then the maximum value or global maxima of that function is obtained by…

Q: Given f(x) = - 12√x + fractions. f'(x) = The domain of f'(x) is 20 X 18, find f'(x) and its domain…

A:

Q: ss interval 1-3 3-5

A: Mean deviation about median: Median:

Q: At one car rental location, car rentals cost $40.00 per day for up to 200 miles. Each additional…

A: We are given the modeled function by C=40+0.35(m-200). As per the question, now we will use the…

Q: V7– 6x - Use interval notation to describe the domain of f(x) -6x2 – 17x+ 28 Type "inf" and “-inf"…

A: The given function is fx=7-6x-6x2-17x+28.

Q: P(x)=x4+4x3-5x+6 what are the intervals of increasing and decreasing

A:

Q: Refer to functions p and q. Evaluate (qop)(x) and write the domain in interval notation. Write your…

A:

Q: Consider the following rational inequality. 4 3x x + 1 x + 1 Step 2 of 2: Test each interval to find…

A: Solution of question as follows

Q: fg)(x)=  f(x)=3x−8 and g(x)=x2+16x+63 Use “U” to indicate the union of intervals.

A:

Q: The domain of g left parenthesis x right parenthesis equals Start Root 5 minus x EndRootg(x)= 5−x]…

A: Given:

Q: 120 feet of fence is to be used to enclose a rectangular yard, then the resulting area of the fenced…

A:

Q: Solve the following rational inequalities using a sign chart. Express your Final Answer using…

A:

Q: 13. The volume of a rectangular box is given by the function V(w) = (60 – 4w)w. What is a reasonable…

A:

Q: 3. Write interval notation (i) x2 -3 and (ii) -4> x <8 4. Write in Inequality notation (iii) [3,…

A:

Q: 13. The volume of a rectangular box is given by the function V(w) = (60 – 4w)w?. What is a…

A: 16. To find the width of the box that maximize the volume, find the first derivative of the V(w) and…

Q: Find the domain of function s(x) = V 2æ² + 5x + 3. Write your answer using interval notation in the…

A:

Q: Determine the intervals where f(x) is increasing and decreasing and the local extrema. f(x) =…

A: Given the function  f(x)=18x-15x2-4x3 To find the intervals where f(x) is increasing and decreasing…

Q: B. On what intervals is g(x) = -17-15 243 C. What type of discontinuity is exhibited by r(x) = ?

A:

Q: 3x+2 > 2x-3 >x-11 provide answer in interval notation

A:

Q: olve below inequalities in terms of intervals. a) 3x +2 < 14 b) x +1< 4x – 8

A: We have to solve

Q: I+ 4 Give the domain for h(x) = in interval notation. x2 6x 27

A:

Q: ind the domain of the function. (enter your using interval notation) g(x)=square root of x^2-6x-16

A:

Q: Suppose that the cost C (in dollars) of removing p percent of the particulate pollution from the…

A:

Q: 13. The volume of a rectangular box is given by the function V(w) = (60 – 4w)w. What is a reasonable…

A:

Q: step by step vertical aysmptote x^2+4x/x^2-16

A: We know that vertical asymptote occurs when the denominator of the given rational function is equal…

Q: 3x – 2 2 6x + 7

A: Given inequality, 3x-2≥6x+7

Q: Solve and graph the solutions. Type the solutions in interval notation in the space provided without…

A: Given: (x-7)(x+1) &gt; 0

Q: Solve the inequality below using a sign chart. On your sign chart, be sure to distinguish between a…

A: Inequality  problem  Here denominator  can't  be zero otherwise  function  will tends towards…

Q: Describe all the x-values at a distance of 19 or less from the number 9. Enter your answer in…

A:

Q: Solve the inequation 1 1 x - 1 4 and enter the solution set in the box below as an interval. For…

A: 1x-1&lt;-14

Q: Suppose that the cost C (in dollars) of removing p percent of the particulate pollution from the…

A: We need to solve for C.

Q: The inequality X < 15 can be used to resresent how tall a tree is, where x is its height in feet.…

A: We represent X &lt; 15 in statement form where X is the height of the tree

Q: Find intervals on which the graph of y = x4 − 4x3 − 18x2 + 7 is concave up and intervals on which it…

A: Given y=x4-4x3-18x2+7

Q: Solve the graph for f(x)=-2x^2+6. And fill the missing words as given in the photo

A:

Q: p = - 2² + 90x – 1400 is a profit formula for a small business. Find the set of z-values that will…

A:

Q: V7 – 6x - Use interval notation to describe the domain of f(x) = –6x² 17x + 28 - • Type "inf" and…

A: Given: f(x)=7-6x-6x2-17x+28