Answer:
0.95
Step-by-step explanation:
Quarter = 0.25
Dime = 0.10
0.25+0.25+0.25= 0.75
0.10+0.10= 0.10
0.10+0.75 = 0.95
The greatest common factor of 40&10 is 10
Answer:
(22,0)
Step-by-step explanation:
1. Select any two points given and find their slope (rise/run)
(-38, 40) and (-23, 30)
slope =
= - 2/3
2. Use the slope and one of the points to create an equation of the line in the format y = mx + b, where m = slope and b = y-intercept.
y = mx + b ⇒ 40 = -2/3 (-38) + b
3. Solve for b
40 = -2/3 (-38) + b
40 = 76/3 + b
40 - 76/3 = b
b = 44/3
4. To find the x-intercept, set y = 0, and solve.
y = -2/3 x + 44/3
0 = -2/3 x + 44/3
2/3 x = 44/3
x = 22
Hope this helped!
Answer:
a. Compressed f toward the x-axis, and then translated it left 4 units.
Step-by-step explanation:
General equation for this is:
y = a√(x - h) + k
- a is how much it's being compress or stretched
- h is how much it's shifted in the x-direction
- k is how much it's being shifted in the y-direction
We're given:
g(x) = 1/2√(x + 4)
g(x) = 1/2√(x - (-4))
My a-value is 1/2, so the original function f(x) is being compressed by 1/2 toward the x-axis.
My h value is -4 so it's being shifted by 4 units. It's shifted to the left because it's negative.
There is not k-value so nothing is shifted in the y-direction.
Answer:
25°C = 77 degree Fahrenheit.
Step-by-step explanation:
In this question we have to write the expression showing the relation between degree Celsius and degree Fahrenheit first.
where C = degree centigrade and F = degree Fahrenheit
Although the question is not clear in the next part but assuming that we have to use this expression to convert 25°C to degree Fahrenheit,
We will plug in the value of C in the expression,


F = 45 + 32
F = 77
Therefore, 25°C = 77 degree Fahrenheit will be the answer.