Answer:
-17
Step-by-step explanation:
8x -2y= 12
<em>Divide</em><em> </em><em>the</em><em> </em><em>whole</em><em> </em><em>equation</em><em> </em><em>by</em><em> </em><em>2</em><em>:</em>
4x -y= 6
<em>Rewrite the equation into the slope-intercept form (y=mx+c, where m is the gradient while c is the y-intercept).</em>
-y= -4x +6
y= 4x -6
Thus, gradient of given line= 4.
Since parallel lines have the same gradient, gradient of line= 4.
y= 4x +c
<em>To find the y-intercept of the lone, substitute a pair of coordinates.</em>
When x=5, y=3,
3= 4(5) +c
3= 20 +c
c= 3 -20
c= -17
Thus, the y-intercept of the line is -17.
Answer:
No solution, this is not an arithmetic sequence
Step-by-step explanation:
An arithmetic sequence is the same number being added over and over. This is not the case.
B because 10p means 10 × p
X = 9
y = 6
Step by step:
Divide 15 by 2: 15 ÷ 2 = 7.5
Subtract 0.5 from 7.5 (this will later be added back): 7.5 - 0.5 = 7
Subtract 1 from 7 (she wants to buy at least 2 more children books): 7 - 1 = 6
Subtract 6 from 15 (6 being the number of puzzle books, 15 being the total number of items): 15 - 6 = 9 (number of children books)
So, the easiest thing to do here is to add up the numbers of each option to find the number most similar to the solution of (-4/5)(3/5)(-6/7)(5/6) which is approximately equal to 0.34.
The product of expression A is -0.25
The product of expression B is 0.50
The product of expression C is 3
The product of expression D is -0.05625
So, first of all, we can rule out choices A and D because they are both negative, whereas 0.34 is not. Now, we just have B and C, and clearly, B is much closer to 0.34 than C is, so B is the correct answer. I hope this helps! :)
