To write
1
3
1
3
as a fraction with a common denominator, multiply by
3
3
3
3
.
−
2
9
−
1
3
⋅
3
3
-
2
9
-
1
3
⋅
3
3
Write each expression with a common denominator of
9
9
, by multiplying each by an appropriate factor of
1
1
.
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−
2
9
−
1
⋅
3
9
-
2
9
-
1
⋅
3
9
Combine the numerators over the common denominator.
−
2
−
1
⋅
3
9
-
2
-
1
⋅
3
9
Simplify the numerator.
−
5
9
-
5
9
Move the negative in front of the fraction.
-5/9 is the answer
Answer:
Step-by-step explanation:
7). (x + 3)(x + 7)
= x(x + 7) + 3(x + 7)
= x² + 7x + 3x + 21
= x² + 10x + 21
8). (4x + 2)(x - 2)
= 4x(x - 2) + 2(x - 2)
= 4x² - 8x + 2x - 4
= 4x² - 6x - 4
9). (3x + 2)(2x + 5)
= 3x(2x + 5) + 2(2x + 5)
= 6x² + 15x + 4x + 10
= 6x² + 19x + 10
10). (x² - 6)(x - 4)
= x²(x - 4) - 6(x - 4)
= x³ - 4x² - 6x + 24
11). (x² + 9)(x - 3)
= x²(x - 3) + 9(x - 3)
= x³ - 3x² + 9x - 27
12). (4x²- 4)(2x + 1)
= 4x²(2x + 1) - 4(2x + 1)
= 8x³ + 4x² - 8x - 4
1/5 of 30 is 6.
There are 6 red circles
Answer:
7.) 2400
8.) 4200
9.) 1600
10.) 63000
11.) 10000
Step-by-step explanation:
You only round numbers in the left most place like (4687 to 5000 and 29 to 30)
7.) 315 * 8
round 315 to 300
300 * 8 = 2,400
8.) 562 * 7
round 562 to 600
600 * 7 = 4,200
9.) 82 * 15
round 82 to 80 and 15 to 20
80 * 20 = 1,600
10.) 711 * 88
round 711 to 700 and 88 to 90
700 * 90 = 63,000
11.) 126 * 95
round 126 to 100 and 95 to 100
100 x 100 = 10,000
Take a look at the function
. You can simplify it to
. If x=0, then y=2 and when y=0, x=3. You obtain two points (0,2) and (3,0) that lie on the line
.
Since
, the line
should belong to the shaded area.
Now take point (0,0). Since
, you can conclude that point (0,0) belongs to the shaded area.Using all these thoughts, you can make a conclusion that the correct choice is B.