The function f(x) = 0.75x + 2.25 represents the total cost of the groceries, and x represents the number of peaches purchased. Therefore, option (D) is correct.
A function is a relation where every input is connected to only one possible output from a set of available inputs.
Given that, the cost of one quart of orange Julie is $2.25 and the cost of peaches is $0.75 each.
Let Julie purchase one-quarter of orange juice and x peaches, then the total cost is:
0.75x + 2.25
Hence, the function f(x) = 0.75x + 2.25 represents the total cost of the groceries, and x represents the number of peaches purchased. Therefore, option (D) is correct.
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Answer:
Answer is C
Step-by-step explanation:
Starts off with F(x) is equal to, which means F(x) will be the answer to this problem, and is the total amount of money spent on the bill. the second part would be the cost per peach because it says in the equation it is $0.75 Per peach.
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I don’t understand how to do this please help
Answer:
x = 8
Step-by-step explanation:
11x - 34 and 7x - 2 are vertical angles and congruent, thus
11x - 34 = 7x - 2 ( subtract 7x from both sides )
4x - 34 = - 2 ( add 34 to both sides )
4x = 32 ( divide both sides by 4 )
x = 8
-----------------------
11x - 34 = 11(8) - 34 = 88 - 34 = 54
18y and 11x - 34 are adjacent angles and supplementary , thus
18y + 54 = 180 ( subtract 54 from both sides )
18y = 126 ( divide both sides by 18 )
y = 7
Answer: -1/2x - 2.
Step-by-step explanation:
To find the quadratic function y = a(x-h) that passes through the points (6, -1) and (4, 0), we can substitute the given points into the equation and solve for a and h. Let's go through the steps:
1. Substitute the coordinates of the first point (6, -1) into the equation:
-1 = a(6 - h)
2. Substitute the coordinates of the second point (4, 0) into the equation:
0 = a(4 - h)
3. Now we have a system of two equations with two unknowns. We can solve this system to find the values of a and h.
From the equation -1 = a(6 - h), we can rewrite it as:
-a(6 - h) = 1
From the equation 0 = a(4 - h), we can rewrite it as:
-a(4 - h) = 0
4. Simplifying the equations, we get:
-6a + ah = 1 (equation 1)
-4a + ah = 0 (equation 2)
5. Subtracting equation 2 from equation 1 eliminates the ah term:
-6a + ah - (-4a + ah) = 1 - 0
-6a + ah + 4a - ah = 1
-2a = 1
6. Solving for a, we divide both sides by -2:
a = -1/2
7. Substitute the value of a back into either equation (let's use equation 2) to solve for h:
-4(-1/2) + h(-1/2) = 0
2 + h/2 = 0
h/2 = -2
h = -4
8. Now we have the values of a = -1/2 and h = -4. We can substitute these values back into the original equation y = a(x-h) to find the quadratic function:
y = -1/2(x - (-4))
y = -1/2(x + 4)
y = -1/2x - 2
Therefore, the quadratic function that passes through the points (6, -1) and (4, 0) is
AI-generated answer
To find the quadratic function y = a(x-h) that passes through the points (6, -1) and (4, 0), we can substitute the given points into the equation and solve for a and h. Let's go through the steps:
1. Substitute the coordinates of the first point (6, -1) into the equation:
-1 = a(6 - h)
2. Substitute the coordinates of the second point (4, 0) into the equation:
0 = a(4 - h)
3. Now we have a system of two equations with two unknowns. We can solve this system to find the values of a and h.
From the equation -1 = a(6 - h), we can rewrite it as:
-a(6 - h) = 1
From the equation 0 = a(4 - h), we can rewrite it as:
-a(4 - h) = 0
4. Simplifying the equations, we get:
-6a + ah = 1 (equation 1)
-4a + ah = 0 (equation 2)
5. Subtracting equation 2 from equation 1 eliminates the ah term:
-6a + ah - (-4a + ah) = 1 - 0
-6a + ah + 4a - ah = 1
-2a = 1
6. Solving for a, we divide both sides by -2:
a = -1/2
7. Substitute the value of a back into either equation (let's use equation 2) to solve for h:
-4(-1/2) + h(-1/2) = 0
2 + h/2 = 0
h/2 = -2
h = -4
8. Now we have the values of a = -1/2 and h = -4. We can substitute these values back into the original equation y = a(x-h) to find the quadratic function:
y = -1/2(x - (-4))
y = -1/2(x + 4)
y = -1/2x - 2
Therefore, the quadratic function that passes through the points (6, -1) and (4, 0) is y = -1/2x - 2.
Ivor Wrench uses this formula to work out the cost of a plumbing job in pounds. A job of x hours costs the same with Dwayne and Ivor.
Set up and solve an equation to work out x .
X=.........
The solution is: x = 10/3 hours
What is the equations with one variable?
An equation with one variable is a mathematical statement that involves an unknown quantity represented by a letter, usually x, and an equal sign, where the expressions on both sides of the equal sign have the same value.
We need to set up an equation using the given information to solve for x.
Let's start with Dwayne's formula:
Cost = 30x + 50
And Ivor's formula:
Cost = 45x
Since a job of x hours costs the same for both Dwayne and Ivor, we can set their formulas equal to each other:
30x + 50 = 45x
Simplifying and solving for x:
50 = 15x
x = 50/15
x = 10/3 hours
Therefore, the solution is: x = 10/3 hours
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Answer:
Multiply by 1/7
Step-by-step explanation:
14*1/7=2
21*1/7=3