Answer:
To simplify the expression (9x/5) * (5/4x^2), we can cancel out common factors.
= (9x * 5) / (5 * 4x^2)
= (45x) / (20x^2)
= (9/4) * (x / x^2)
= (9/4) * (1 / x)
Therefore, the simplified expression is (9/4) * (1 / x) or (9 / 4x).
Step-by-step explanation:
To solve the given expression , we multiply the numerators together and the denominators together. Simplifying further by canceling out common factors and dividing by x, the final simplified expression is 9/(4x).
To solve the given expression: we multiply the numerators together and the denominators together.
This gives us:
Simplifying further, we can cancel out the common factors between the numerator and denominator, which in this case is the factor of 5.
This leaves us with:
Now, we can simplify the expression by dividing both the numerator and denominator by x.
This leads to the final simplified expression:
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What is the value of a?
The inequality sign is less than and equal to, the line will be a solid line and shaded below the graph. The required graph is graph A
In order to get the required graph of y ≤ 1 – 3x, we need to get the x and y-intercept of the equation
Given the equation y ≤ 1 – 3x?
The x-intercept occurs at y = 0
0 = 1 - 3x
-1 = -3x
x = 1/3
The x-intercept will be at (1/3, 0)
Similarly for the y-intercept
The y-intercept occurs at x = 0
y = 1 - 3(0)
y = 1
The y-intercept will be at (0, 1)
We need to find the graph with the intercept first. We can see that all the graph has the gotten intercept.
Since the inequality sign is less than and equal to, the line will be a solid line and shaded below the graph. The required graph is graph A
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Answer:
Graph 1
Step-by-step explanation:
Given : Inequality
To find : Which is the graph of the equation?
Solution :
Inequality
We determine the x-intercept and y-intercept,
Add 3x both side,
Divide both side by 3,
Point is (0.33,0)
Point is (0,1)
As there is equal and less than so there is a complete line not dotted line.
The graph is passing through the points (0.33,0) and (0,1) and drawn LHS of the graph.
Therefore, The correct option is graph 1.
Refer the attached figure below.
The military time 0145 is equivalent to 1:45 AM on a regular clock.
Given that in a military clock it is showing 0145, we need to convert it into regular clock;
To convert the military time 0145 to a regular clock format, follow these steps:
Step 1: Identify the hour in military time.
In this case, the military time is 0145. The first two digits, "01," represent the hour.
Step 2: Determine if it is in the AM or PM.
Since the hour is "01," which is less than 12, it is in the AM.
Step 3: Convert the hour to regular clock format.
Since the hour is "01," we can write it as "1" on a regular clock.
Step 4: Identify the minutes.
The last two digits, "45," represent the minutes.
Step 5: Combine the hour and minutes.
Putting it together, we have "1:45" on a regular clock.
Step 6: Determine if it is in the AM or PM.
Since we established earlier that it is in the AM, the final time on a regular clock is "1:45 AM."
Therefore, the military time 0145 is equivalent to 1:45 AM on a regular clock.
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Answer:
The equation represents the cost, c(x), of ice skating as a function of x is .
Step-by-step explanation:
Consider the provided information.
Let R be the per hour rate of the using the skating rink.
It is provided that $3 is the rent of skates for the day.
If Gillian rented skated and paid $21 after 3 hours of skating, this can be represented as:
Therefore, the hourly fee for skating is $6.
Now, write the equation represents the cost c(x) of the ice skating as a function of x.
Total cost = Number of hours × Hourly fee + Rent skates for the day.
Replace total cost with c(x), Number of hours with x, Hourly fee with 6 and rent skates of the day with 3.
Thus the required equation is:
Thus, the equation represents the cost, c(x), of ice skating as a function of x is .
0.04x-0.02y=-0.1
2 - 2cos(x)
1 - 2cos(x)
-2 - 2cos(x)
I think it is option C. Thank you in advance!
Answer:
1 − 2 cos x
Step-by-step explanation:
y' = 2 sin x
y = C − 2 cos x
1 = C − 2 cos(π/2)
1 = C
y = 1 − 2 cos x