Step-by-step explanation:
this is only asking about the functional values.
in what intervals are the functional values going up (when increasing x from left to right), and in what intervals is the functional value going down (again, when increasing x from left to right) ?
and so we see in the graph,
it is increasing (y-values are going up) in
(-infinity, -1], (2, +infinity)
it is decreasing (y- values are going down) in
(-1, 2]
please consider the used types of brackets.
"(", ")" means the corresponding interval end is NOT included.
"[", "]" mags the corresponding interval end is included.
"infinity" is only a concept and not a value, so it can never be included.
and I wanted the intervals to have no overlap. so, I included "-1" in one and excluded it in the connecting interval. the same for "2".
but if your teacher prefers to have the interval ends overlapping, then please change these brackets to "["as needed. it all depends on what your teacher defined for you.
- A. B. C. D.
The product of -12 and a number
- A. B. C. D.
The quotient of -12 and a number
- A. B. C. D.
Twice the sum of -12 and a number
- A. B. C. D.
The sum of -12 and twice a number
A.
2 open parentheses negative 12 plus x close parentheses
B.
fraction numerator negative 12 over denominator x end fraction
C.
negative 12 plus 2 x
D.
negative 12 x
Answer:
See explanation below
Step-by-step explanation:
We are going to transform the given phrase to an equivalent algebraic expression, let's x be a number:
a) The product of -12 and a number (we have to multiply)
(-12)x = -12x
b) The quotient of -12 and a number (quotient means division)
c) Twice the sum of -12 and a number (we're going to sum up -12 and a number and then multiply by 2)
2(-12 + x)
d) The sum of -12 and twice a number (we're going to sum up -12 and the double of the number)
-12 + 2x
Answer:
whole numbers u put a 1 on the bottom and then do the keep change flip
Step-by-step explanation:
A
B
C
D
E
F
The solution is
Answer:
Step-by-step explanation:
Formula for average A of two numbers m and n is:
Substitute the value m=36 and n=72
This is equivalent to:
The average is:
Answer:
Step-by-step explanation:
Given that height of cliff H = 5000 ft
You drop rock from cliff and the distance of rock below the cliff at time,t is given by:
Q1. How far below the cliff is the rock 7 seconds after it dropped ?
Ans. Here, t=7 seconds
By using formula provide, g=32.18 ft{tex]
y=- \frac{1}{2} × 32.17 × (7)^{2}[/tex] = 788.165 ft
Note: Negative sign shows the direction and 240.345 is magnitude
Therefore, Rock is 788.165 ft from Cliff
Q2. How far is the rock from the bottom 7 seconds after it dropped ?
By using formula provide,
Ans. After 7 seconds, Rock is 788.165 ft from Cliff
Therefore, Rock is 5000-788.165 = 4,211.835 ft from bottom
Q3. When will rock hit the bottom?
Ans. Height of cliff H= 5000 ft
Using formula provided, g=32.18 ft
Q4. The Velocity of the rock at impact?
Ans. Velocity is given as V= g×t
By using formula, We get
V= 32.14 × Total time to reach ground
V= 32.14 × 17.6 = 565.66 ft/s