Since 1 < x < 5, adding each side by a, where a is negative, gives
a > ax > 5a
and adding b to each side gives
a + b > ax + b > 5a + b
or
5a + b < ax + b < a + b
Since 7 < f(x) < 23, it follows that
5a + b = 7
a + b = 23
Solve for a by eliminating b :
(5a + b) - (a + b) = 7 - 23
4a = -16
a = -4
Solve for b :
-4 + b = 23
b = 27
Answer:
15a⁴b²-20a³b³+30a²b⁴
Step-by-step explanation:
3a²-4ab+6b²
so for 5a²b²
(5a²b²)(3a²-4ab+6b²)
=15a⁴b²-20a³b³+30a²b⁴
Answer:
Part A: Option A
Part B: Option C
Step-by-step explanation:
Given two points (7, 5) and (21, 15)
we have to find the slope of the line passing through above two points.
The slope of line can be calculated as
Option A is correct.
Part B: Also given another line with a slope that is one-third that of the slope of above and passes through the origin and the point
we have to find the point.
The equation of line becomes
The point which satisfies the above equation passes through the line.
Not satisfied
Not satisfied
Satisfied
Not satisfied
Hence, the line passes through the point (21, 5)
Option C is correct.
All of them use Tons, pounds or ounces so you need the conversion factors which are these.
1 Ton = 2,000 lbs
1 lb = 16 oz
2.) 6T = 12,000 lbs (6 x 2,000)
3.) 18 lbs = 288 oz (16 x 18)
4.) 3,200 oz = 200 lbs (3,200/16)
5.) 12 T = 24,000 lbs(12x2,000)
6.) 9 lbs = 144 oz (16x9)
7.) 7 lbs = 112 oz(16x7)
8.) 100 lbs = 1,600 oz (16x100)
9.) 60,000 lbs = 30 T (60,000/2,000)
10.) 40 oz < 4 lbs (4x16)
11.) 80 oz = 5 lbs (5x16)
12.) 5,000 lbs < 5 T (5x2,000)
13.) 18,000 lbs = 9 T (9x2,000)
14.) 25 lbs > 350 oz (250x16)
15.) 27 oz < 2 lbs (16x2)
16.) 3 T = 6,000 lbs (3x2,000)
17.) First you need to know how many ounces 22 pounds is, so you multiply 16 by 22 to get 352 oz. Then subtract by 112 oz, she can add 240 more oz or 15 more lbs.
We don't know because we can't see it
