Start your trial now! First week only $4.99!*arrow_forward*

Question

Identify a variable, write an equation and solve algebraically. Answer in a sentence. The length of a rectangular garden is 8 meters less that three times the width. If the garden's perimeter is 56 meters, what are the dimensions of the garden?

Tagged in

Math

Algebra

Find answers to questions asked by students like you.

Q: What is the equation of the function that is obtained from f (x) = | x | by reflecting about the x -...

A: Given information:The given function is

Q: ( The length of a rectangular garden is two feet longer than its width) (A) Label each edge o...

A: part(a)The length of a rectangular garden is two feet longer than its width.Let the width of the rec...

Q: Determine algebraically whether f and g are inverse functions. f(x) = 5x - 3 g(x)= x+3/5

A: To show f and g are inverse functions, we have to show f(g(x))=x and g(f(x))=x.

Q: In the equation D equals 3.25 G, which takes input values of gallons (G) for fuel and gives output v...

A: We have given the equation D=3.25 G, where D represents the cost in dollars and G is the value of ga...

Q: |4 - 8(3 - 12)| - |5 - 11| = im having trouble figuring out how to do this problem, should i start w...

A: Yes, the given problem can be start with parenthesis.

Q: Solve the system. If there is no solution or if there are infinitely many solutions and the system's...

A: The given system of equation is,

Q: # 41 # 42

A: Find the invested amount in both accounts.Let P be the principal amount.Here, the total simple inter...

Q: Graph functions f and g in the same rectangular coordinate system. Graph and give the equations of a...

A: Graphed them using graphing calculator. Red line is y=3^x and blue line is y=(1/2)*(3^x)

Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant mult...

A: In this question we a have two log expressions which we have to write as a sum, difference, and/or c...

Q: #38

A: From the given information, it is observed that the total length of the hardwood floor is 72-in. and...

Q: Convert each of the following base ten numerals in the given base: Convert 67 to base three Convert...

A: To convert 67 base 10 to base three.

Q: For each equation, determine whether it represents a direct variation, an inverse variation, or neit...

A: The given equations are 5xy = 20 and 2y = 5x.

Q: First find f+ g, f-g, fg and Then determine the dormain for each function. 9 9x+5 8x+3 f(x)= g(x)= 2...

A: The functions are

Q: What is the equation of the function that is obtained from f (x) = ⎷x by shifting 1 unit to the righ...

A: If we shift f(x)= sqrt(x) 1 unit to right then we get f(x)=sqrt(x-1)

Q: For following function, select (on the same set of coordinate axes) a graph for c = -3, 5, and 4. ...

A: The function is given by,

Q: Graph the solution to the following system of inequalities. x-5 yz-4 3x+4y8 10 6 ? 4 -10 -8 -6 6 10 ...

A: Given information:The system of equation is shown below:

Q: Explain how the vertical line test is used to determine whether a graph represents a function. Show ...

A: The basic definition of a function is that for every unique input x there is a unique output y.the v...

Q: Solve and graph the solution on a number line: x-3>1

A: We are given an inequality as

Q: Let A1, A2 and A3 be mutually exclusive and exhaustive events of some sample space S, where P(A1) = ...

A: In this question, it has been given that A1, A2 and A3 are mutually exclusive and exhaustive events....

Q: Solve the following equation for B u=8B B ? X

A: Given information:The given expression is

Q: Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation of th...

A: In order to sketch the graph of quadratic function, convert the given quadratic function into standa...

Q: Determine the domain of the function f (x) = x − 2x + 8

A: The given function is f(x) =x–2x+8.

Q: Simplify the difference quotient f(x)−f(a)/x−a for the given function. f(x)=2-6x-x^2

A: The given function is f (x) = 2– 6x – x2. Substitute x = a in f (x) = 2– 6x – x2 to obtain f (a). f ...

Q: (-1+i)-(-7+4i)-5

A: Simplify the expression (–1+i) – (–7+ 4i) – 5 as follows.(–1+ i) – (–7+ 4i) – 5 = –1+ i +7– 4 i – 5 ...

Q: Solve Inequality |7x+3| > 15. What are the steps to putting my answer(s) in interval form?

A: From |7x+3|>15 we get two inequalities. 7x+3>15 and 7x+3<-15. We will solve for x from thos...

Q: Begin by graphing the absolute value function, f(x) = |x|. Then use transformations of this graph to...

A: Given:The function f(x) = |x|.

Q: One number is seven less than four times another number. If their sum is 103. Find both numbers.

A: The given statement is

Q: #37 A faucet can fill a tub in 12 minutes. The leaky drain can empty the tub in 30 minutes. If the f...

A: Click to see the answer

Q: Suppose that the functions q and r are defined as follows. =q(x)=−x r=-2x^2+1 Find the following. (r...

A: In this question we have two functions q(x) and r(x), for which we have to find (roq)3 and (qor)3

Q: Why is rounding a number important?

A: Rounding is a way of simplifying a number to make that easier to understand and work with.Moreover i...

Q: Solve the following exponential equation by expressing each side as a power of the same base and the...

A: We first write 64= 4^3 and 1/sqrt(4)=4^(-1/2)

Q: Solve the system. If there is no solution or if there are infinitely many solutions and the system's...

A: We are given system of equations as

Q: 25+2=

A: First we calculate 2^5.2^5= 2x2x2x2x2=32

Q: Explain how f (x) = (x − 1)2 + 3 is obtained from f (x) = x2

A: The given functions are f(x) = (x-1)2 +3 and f(x) = x2.Sketch the graph of the functions f(x) = (x-1...

Q: What is the inverse equation for (x+2) over x? x+2 x

A: Given information:The given function is

Q: Condense the expression to the logarithm of a single quantity (c) 4 [lnz +ln(z +5)] −2ln(z −5)

A: Consider the provided expression.

Q: 51) Barney's money earned $204 in interest after 1 year. He invested some of his money in an account...

A: Let P be the principal amount.Here, the simple interest is $204 for one year.

Q: List all values of x for which each rational expression is undefined.

A: Given information:The given function is as shown below:

Q: 2A-A=2

A: The given linear equation in A is 2A-A=2.

Q: graph g(x)=4log1/2x plot at least two points on the graph, draw all asymptotes,

A: Given information:The given gunction is g(x)=4log1/2x.

Q: How do you solve 1/2 +12/x2 > 5/x

A: The given inequality is,

Q: Solve the inequality (x-3)(x-5)^2<0 Select all the intervals below that are included in the solut...

A: The given inequality is (x-3)(x-5)^2<0

Q: Ay The functions f(x)= 0.0875x-1.3x+61.7 and gox) = 0,0875x + 1.9x+11.1 model a car's stopping dista...

A: In order to find the stopping distance that exceed the length of one and one-half football fields, o...

Q: Let g (x) = 12− x 2 , then answer the following questions: Identify the parent function:f (x) = Desc...

A: The parent function can be identified by removing the constants and coefficients from the given func...

Q: The graph to the right is a complete graph, that is, it is continuous and displays the function's en...

A: Explanation:(b)From the given graph, it is observed that the graph of the function is rising towards...

Q: Use the graph to determine (a) open intervals on which the function is increasing, if any. (b) open ...

A: Given graph is,

Q: Use the graph of the rational function to complete the following statement As x4, f(x) -5 As x4, fx)...

A: x-> -4^- means slightly less than -4.

Q: Find an equation of the parabola with vertex , 1−4 and focus , 7−4 .

A: Click to see the answer

Q: Shown to the right is a scatter plot that indicates a relationship between the percentage of adult f...

A: Indicated points are (0,250) and (60,160).Slope= -1.5 and y intercept= 250.Answer(a): f(x)= -1.5x+25...

Q: For fx) = Vx and g(x) = x + 4, find b. the domain of fo g a. (fo g)(x) (f o g)(x) a. (Simplify your ...

A: Given that two functions: