Answer:
A 5.25, B 5.75, C 10.25, D 25.8125
Step-by-step explanation:
Answer:
(5,-6)
Step-by-step explanation:
ONE WAY:
If , then .
Let's simplify that.
Distribute with :
Combine the end like terms :
Use identity for :
Combine like terms and :
We are given .
So we have that .
The vertex happens at .
Compare to to determine .
Let's plug it in.
So the coordinate is 5.
Let's find the corresponding coordinate by evaluating our expression named at :
So the ordered pair of the vertex is (5,-6).
ANOTHER WAY:
The vertex form of a quadratic is where the vertex is .
Let's put into this form.
We are given .
We will need to complete the square.
I like to use the identity .
So If you add something in, you will have to take it out (and vice versa).
So we have in vertex form is:
.
The vertex is (3,-6).
So if we are dealing with the function .
This means we are going to move the vertex of right 2 units to figure out the vertex of which puts us at (3+2,-6)=(5,-6).
The coordinate was not effected here because we were only moving horizontally not up/down.
Answer:
7.5 and 10.5
Step-by-step explanation:
You can use this equation
1/4 of 14 and 1/4 of 10
Those two are your answers
Answer:
1. (a) a+b=86
2. (c) 5.99a+9.99b≤600
Step-by-step explanation:
1.
a = amount of 16gb memory sticks
b = amount of 21gb memory sticks
Gary is buying a memory sticks for each of the 86 teachers. Therefore the total sum of both 16gb and 32gb memory sticks should equal 86:
a+b=86
2.
a = amount of 16gb memory sticks
b = amount of 21gb memory sticks
Each 16gb memory stick cost $5.99, and each 32gb one costs $9.99. Therefore...
5.99a = total cost of 16gb memory sticks
9.99b = total cost of 32gb memory sticks
Gary has to spent an amount less than or equal to $600. Therefore, the total sum of the costs of both 16gb and 32gb memory sticks should be less than or equal to 600:
5.99a+9.99b≤600
false that not true they have all unequal sides