Answer: The required value of a is
Step-by-step explanation: We are given to solve the following equation for variable a :
To solve the above equation for a, we need to take terms involving a on one side of equality that that involving b on the other side.
So, from equation (i), we get
Thus, the required value of a is
Answer:
-4
Step-by-step explanation:
so a minus divided by a plus is a minus so -8÷2 is -4.
A t-chart representing the y = |5x| shows pairs of x and y values, where y is the absolute value of 5 times x. Whether x is negative or positive, y is always positive, demonstrating the dependence of y on x in the total value context.
The absolute value equation given is y = |5x|. A t-chart representing this equation would list several values of x against their corresponding y values, where y is the absolute value of 5 times x. For instance, for x = -1, y = |-5| = 5; for x = 0, y = |0| = 0; for x = 1, y = |5| = 5. Thus, the t-chart should show that, regardless of whether x is negative or positive, y is always positive, given the nature of absolute value.
Here's an example of what the t-chart could look like:
The dependence of y on x in this scenario is such that y increases linearly as the absolute value of x increases.
#SPJ2
=============================================
Explanation:
Choices A, B and D are not true because of the negative y values. The result of an absolute value is never negative. So we can rule out choices A, B, and D. We have choice C as the only thing left, so this must be the answer.
-------------
Another way to see this is by plugging in each x value to see what y value comes out.
The y outputs from top to bottom are: 10, 5, 0, 5, 10
This matches with what choice C shows.
Answer:
72
explanation:
Just took the test
Answer:
A 72$
and a good day
Answer:
(4, 7 )
Step-by-step explanation:
given the 2 equations
3x - 8y + 44 = 0 → (1)
7x = 12y - 56 ( subtract 12y - 56 from bpth sides )
7x - 12y + 56 = 0 → (2)
multiplying (1) by 7 and (2) by - 3 and adding the result will eliminate x
21x - 56y + 308 = 0 → (3)
-21x + 36y - 168 = 0 → (4)
add (3) and (4) term by term to eliminate x
(21x - 21x) + (- 56y + 36y) + (308 - 168) = 0
0 - 20y + 140 = 0 ( subtract 140 from both sides )
- 20y = - 140 ( divide both sides by - 20 )
y = 7
substitute y = 7 into either of the 2 orinal equations and solve for x
substituting into (1)
3x - 8(7) + 44 = 0
3x - 56 + 44 = 0
3x - 12 = 0 ( add 12 to both sides )
3x = 12 ( divide both sides by 3 )
x = 4
solution is (4, 7 )