Answer:
5 2/10
Step-by-step explanation:
Answer:
1 < x < 7.5
Step-by-step explanation:
This problem can be solved using given below property of triangle.
Sum of two sides is always greater than third side of triangle.
Difference of two sides is always lesser than third side of triangle.
_______________________________________________
Given
sides length
6.5 units
3.5 units
Third side is 2.5 + x
using the property, Sum of two sides is always greater than third side of triangle.
6.5 + 3.5 > 2.5 +x
=>10 >2.5 + x
=>2.5 + x< 10
=> x< 10 -2.5
=> x < 7.5
using the property, Difference of two sides is always lesser than third side of triangle.
6.5 - 3.5 > 2.5 +x
=>3.5 > 2.5 +x
=> 2.5 +x > 3.5
=> x > 3.5 - 2.5
=> x > 1
combining both we have
1 < x < 7.5
out of the given option none is 1 < x < 7.5
hence, correct answer will be 1 < x < 7.5 and wrong option can be claimed by student.
For this case we have the following system:

To solve, we first change the inequality for an equality:

Matching we have:

So:

Thus,
is the point of intersection of the lines.
Answer:
The graphic is attached
Sorry, very late response since I had other matters to attend to.
Question 1:
A: Incorrect; if that was the case, on day 1, the price would be 150. Instead here, according to the graph, on day 1 the price is 30.
B: Incorrect; the slope, or rate of change, is 30.
[Note: To calculate the slope, we can take two points (I've chosen points (1,30) [1] and (2,60) [2] for you) and use the formula

.

⇒

.

= x, therefore

= 30.]
C; Correct; each day the price increases by (+) 30.
D: Incorrect; the line does not show a constant decrease, but instead a constant increase.
Question 2:
A: Most likely this answer choice. The equation seems to be in slope-intercept form on accounting that the equation has mx and b. M has the x directly after it while the b is a number that stands alone. [Note: Numbers that stand alone and without a variable are constants.] B stands for the y-intercept/initial value, or amount started with.
In short:
Q1: C
Q2: A
Answer:
No solution
Step-by-step explanation:
To find the solution to 3x - 9 equals 3(x - 5), we would have to solve for x.
First set the two expressions equal to each other.
3x - 9 = 3(x - 5)
Now we can distribute the 3 on the right side.
3x - 9 = 3x - (3 * 5)
Simplify
3x - 9 = 3x - 15
Now lets try to get x alone on one side of the equality. Subtract 3x from both sides to cancel out of 3x on the right side.
3x - 9 - 3x = 3x - 15 - 3x
-9 = -15
And as you may have realized, -9 does not equal -15.
Why did the x disappear? Why did we end up with -9 = -15 which is clearly a false statement? This is because the the lines y = 3x - 9 and y = 3(x - 15) are parallel. Thus, they will never intersect and the equality 3x - 9 = 3(x - 5) will have no solution.
So there is no solution.
I hope you find my answer to be helpful. Let me know if you have any questions. Happy studying.