Lets operate is separate parts, the whole parts and the fractions:
9 1/6 - 3 5/8
= (9 - 3) + (1/6 - 5/8)
so now we have separated the operations, but now we need to get the fractions to the same denominator using the minimum common multiple of 6 and 8, which is 48 so we convert those fractions to be divided by 48:
1/6 = (8/8)(1/6) = (8*1)/(8*6) = 8/48
5/8 = (6/6)/(5/8) = (6*5)/(6*8) = 30/48
Lets substitute those fractions and subtract:
= (9 - 3) + (1/6 - 5/8<span>)
</span>= (9 - 3) + (8/48 - 30/48<span>)
</span>= (6) + (-22/48)
We have a negative fraction and have to subtract it from the whole part, we can convert the whole part to be divided by 48 as well, so the subtraction is easy:
6 = (48/48)(6) = (48*6)/(48) = 288/48
susbstitute:
<span>= (6) + (-22/48)
</span><span>= (288/48) + (-22/48)
</span><span>= 288/48 - 22/48
</span>= 266/48
= 5 26/48
= 5 13/24
Answer:
Intercepts at (-1, 0) and (0, 1).
Step-by-step explanation:
The double intercept form for the equation of a line is
ax + by = 1
-1 = -y + x
<em> y = 0
</em>
<em> </em>x = -1 Multiply each side by -1
-x = 1
The <em>x-intercept</em> is at (-1, 0).
=====
<em> x = 0
</em>
-1 = -y Multiply each side by -1
y = 1
The <em>y-intercept</em> is at (0, 1).
=====
The graph (see below) is a straight line passing through the points (-1, 0) and (0, 1).
Answer:
c) G(x) = (x + 1)**2
Step-by-step explanation:
A function left shift is x + shift and a right shift is x - shift.
You would use the distance formula and get square root of 101
The answer is <span>b) (image #1)
</span>
x correct answers
23 - x incorrect answers
82 = 4x + -1(23 - x) = 3x - 23
105 = 5 x
x = 105/5 = 21
21 right 2 wrong 2 unanswered
Check: 4(21) -1(2) = 84-2=82 good