The slope of the line is -2/5x
The rate of change is the slope.
f(x) is the same as y...
f(x) = 3x + 9.....y = 3x + 9....and in y = mx + b form, the rate of change(slope) can be found in the m position.
y = mx + b
y = 3x + 9....so the slope or rate of change is 3...not 9...so answer is false
Answer:
1
Step-by-step explanation:
GCF(18, a, 20ab) = 1
18 and <em>a</em> do not necessarily have any factor in common, so their GCF is 1. Adding more terms to the list will not increase the GCF beyond that value.
At
, you have
The trick to finding out the sign of this is to figure out between which multiples of
the value of
lies.
We know that
whenever
, and that
whenever
, where
.
We have
which is to say that
, an interval that is equivalent modulo
to the interval
.
So what we know is that
corresponds to the measure of an angle that lies in the third quadrant, where both cosine and sine are negative.
This means
, so
is decreasing when
.
Now, the second derivative has the value
Both
and
are negative, so we're essentially computing the sum of a negative number and a positive number. Given that
for
, and
for
, we can use a similar argument to establish in which half of the third quadrant the angle
lies. You'll find that the sine term is much larger, so that the second derivative is positive, which means
is concave up when
.
Answer:
7 cm, 16 cm, 19 cm
Step-by-step explanation:
Let s represent the length of the shortest side in cm. The longest side is 3s-2, and the other side is 2s+2. The perimeter is the sum of the side lengths.
P = s + (3s -2) +(2s +2)
42 = 6s . . . . . simplify, use the given value of perimeter
7 = s . . . . . . . divide by 6
2s+2 = 16
3s -2 = 19
The side lengths are 7 cm, 16 cm, and 19 cm.
