43 I think the answer is 43
Answer:y = - 2x + 7/6
Step-by-step explanation:
The point slope form of the equation is expressed as
y - 2/3 = - 2(x - 1/4)
Comparing with the point slope form of an equation,
y - 1 = m(x - 1)
From the given equation,
Slope, m= - 2
The point through which the line passes through is ( 1/4 , 2/3)
The slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents intercept
To determine c, we we would substitute m = - 2, x = 1/4 and y = 2/3 into y = mx + c. It becomes
2/3 = - 2 × 1/4 + c
2/3 = - 1/2 + c
c = 2/3 + 1/2 = 7/6
Therefore, the slope intercept form would be
y = - 2x + 7/6
Answer: -2
Step-by-step explanation:
The information in the question can be used to form an equation which goes thus:
2nd term = a + d = 4 ...... i
5th term = a + 4d = 22 ....... ii
From equation i
a = 4 - d ........ iii
Put equation iii into ii
a + 4d = 22
(4 - d) + 4d = 22
4 - d + 4d = 22
4 + 3d = 22
3d = 22 - 4
3d = 18
d = 18/3
d = 6
Commons difference is 6
Since a + d = 4
a + 6 = 4
a = 4 - 6
a = -2
The first term is -2
Answer:
The value of x would be 
or 
Step-by-step explanation:
Given,
x tons of 10% gravel G mixture is mixed with y ton of 2% gravel G to obtain 5% gravel mixture,
Thus, gravel G in x ton + gravel in y ton = gravel G in the resultant mixture,
⇒ 0.1x + 0.02y = 0.05(x+y),
0.1x - 0.05x = 0.05y - 0.02y
0.05x = 0.03y
Now, resultant mixture is z ton,
i.e. 
From equation (1),
