Answer:
Val is right
Step-by-step explanation:
One of the solutions to k < 3 is k = -4. When you square that, you get ...
k² = (-4)² = 16
which is not less than 9.
_____
k < 3 and k² < 9 will have the same solution set for |k| < 3, but their solution sets will differ for k ≤ -3.
When performing operations on inequalities, one needs to be aware of the order preserving/changing effects of the operation. Whether squaring a value preserves order or not depends on the relative magnitudes:
- 2 > 1; 2² > 1²
- -1 < 1; (-1)² = 1²
- -2 < 1; (-2)² > 1²
- -2 < -1; (-2)² > (-1)²
Answer:
Step-by-step explanation:
We can recognize that the parent function for all of these graphs is going to be y=x^2. What this means is that we can graph y=x^2 and then apply transformations to it to get to all of these new graphs.
1. y = -x^2 + 5
We can see that the coefficient of the x^2 term is negative which tells us that the graph will now open downwards.
We also know that we are adding 5 on the outside of the argument which means it affect vertical shift. Therefore, we will be moving 5 units up.
2. y = x^2 - 4
We can see that the only change made to this equation is subtracting 4 on the outside of the squared part of the equation. Again, this signifies vertical movement, but since it's negative we will be moving the entire y = x^2 graph down 4 units.
3. y = -x^2 - 1
What do you notice about this graph?
- negative coefficient
- subtracting 1 outside of the argument
What do these mean?
- negative coefficient: opens downwards
- subtracting 1: move entire y = x^2 graph down 1 unit
Answer:
$1,152 Mort will make if he sells 36 necklaces at the local art fair.
Step-by-step explanation:
Unit rates are expressed as the rates as a quantity 1 such that 4 miles per hour or 3 meter per seconds.
As per the given statement: Mort makes beaded necklaces that he sells for $32 each.
⇒ Unit rate per necklace = $32
It is also given that if he sells 36 necklaces at the local art fair.
by definition of unit rate;

Substitute the given values we have;

Therefore, $1,152 Mort will make if he sells 36 necklaces at the local art fair.
25 less than or equal too 300,not really enough information