<h3><u>
Answer:</u></h3>
Option: C is the correct answer.
c) the coefficient of x is positive
<h3><u>
Step-by-step explanation:</u></h3>
We know that graph of a line goes up and to the right when the coefficient of x is positive.
Since we know that when a line goes up and to the right this means that the line is increasing and hence we will get a positive slope of the line and we know that the slope intercept of a line is given as:
as m is positive this means that:
the coefficient of x is positive.
Hence, the correct answer is:
c) the coefficient of x is positive
Evaluate: 2(1/4) + 2/5 ÷ (-1/2) - 1/4
⇛9/4 + 2/5 ÷ (-1/2) - 1/4
Take the LCM of the 4 and 5 is 20.
Again, 2 and 4 is 4.
⇛[(54+8)/20] ÷ [(-2 - 1)/4]
⇛62/20 ÷ (-3/4)
⇛62/20 × 4/-3
⇛62/{5*(-3)}
⇛62/-15.
Answer:
D) q + d = 330
0.25q + 0.1d = 6
Step-by-step explanation:
Let q= numbers of quarters
d = number of dimes
q + d = 33 ...........(1)
q = 33 - d
xq + yd = 6 ..........(2)
We will consider the options to know the correct answer
From option A
q +d = 6
25q + 10d = 33
This is wrong
Option B
q + d = 60
0.25q + 0.1d = 33
This is also wrong
Option C
q+d = 33
25q + 10d = 6
Put q = 33 -d in equation 2
25(33 - d) + 10q = 6
825 - 25d + 10d = 6
825 - 15d = 6
-15d = 6-825
-15d = -819
d = -819/-15
d= 54.6
This is also wrong because d exceeds the combination.
Option D
q+d = 33
0.25q + 0.1d = 6
Put q = 33 -d in equation 2
0.25(33 - d) + 0.1d = 6
8.25 - 0.25d + 0.1d = 6
8.25 - 0.15d = 6
-0.15d = 6 - 8.25
-0.15d = -2.25
d = -2.25/ -0.15
d = 15
q = 33 - 15
q = 18
This is correct
The answers are:
1) 
2)
3) 
The explanation for this answer is shown below.
1. To solve this problem you must apply the following proccedure:
2. You have the function 
3. You must switch and 
and then solve for:
4. Finally, you obtain:
