Answer: x midpoint 6.5 y midpoint -2.5
Step-by-step explanation:
So tripple of 3/4 is 3/4 times 3/1=9/4=2 and 1/4
she has 1 and 5/8
compare 1 and 5/8 and 2 and 1/4
convert 1/4 to 2/8
she has 1 and 5/8 but she needs 2 and 2/8
1=8/8
1 and 5/8 and needs 1 and 10/8
1 and 5/8+x=1 and 10/8
subtract 1
5/8+x=10/8
subtrarct 5/8
x=5/8
she must borrow 5/8 cups from neighbor
Answer:
g(x) = x² - 8
g(x) = 1(x-0)² - 8
Step-by-step explanation:
f(x) = x²
we translate this parent function 8 units down thus:
g(x) = f(x) - 8
g(x) = x² - 8
in the form a( x - h)² + k:
g(x) = 1(x-0) - 8
k = (-8)
As the change is constant rather than the variable of the quantity of "x" It is a movement of the whole f(x) function eight units down.
h = 0
Because, there is no information about a stretchment of the parent function in g(x)
For the linear function in the graph, we have that:
- The y-intercept is of -4.
- The equation of the line is: y = 3x - 4.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The line goes through point (0,-4), hence:
The y-intercept is of -4.
The function also goes through point (2,2), hence the slope is:
m = (2 - (-4))/(2 - 0) = 6/2 = 3.
Then, the equation of the line is:
y = 3x - 4.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:The maximum number of visits a member of the history museum can make for a total cost of $40 is 17
Step-by-step explanation:
Let x represent the number if visits that visits the person makes to the museum.
Let y represent the cost of x visits
A person can pay $6 for a membership to the history museum and then go to the museum for just $2 per visit. It means that the total cost, y for x visits will be
y = 2x + 6
For a total cost of $40, y = 40. So
40 = 2x + 6
2x = 40 - 6
2x = 34
x = 34/2 = 17
