Answer:
First one: x = 3, and y = 2
Second: 5
Third: Yes because he will have $37.50
Fourth: The numbers 2.5 and 3 will make it true
Step-by-step explanation:
1. 4(3) + 2(2) + 3 = 12 + 4 + 3 = 19
2. 4x + 2 = 22, 4x = 20, x = 5
3. 2.25y + 7.25z + 11.25, 2.25(2) + 7.25(3) + 11.25 = 4.5 + 21.75 + 11.25 = 37.5
He will get $37.50, which is enough.
4. The numbers 2.5 and 3 will make it true: 2(2.5) + 3 = 5 + 3 = 8, 2(3) + 3 = 6 + 3 = 9, the numbers below it won't make it true.
Hello!
In order to find out the volume of any prism, you are to do length x width x height.
Because we only know the length and the width, we can multiply those to get started. 3 x 5 is 15, so we know that's what we can start with.
Because we know the volume, all we have to do is do h x 15 = volume (45). Now, what is height?
In order to find the height, we must find a number that, when multiplied by 15, equals 45.
So we can try out 3, which when multiplied by 15, equals 45.
That means 3 is your height.
Hope I helped! :)
Answer:
y=-2x+2
Step-by-step explanation:
hope it helps!
Answer:
Step-by-step explanation:
We are given quadratic equations as
and it can be factored as
now, we can multiply factor term
now, we can compare
so, we get
we are given that
'a' and 'b' are integers
so, we can find all possible factors
so, we can find k
At 
:
we can plug values
At 
:
we can plug values
At 
:
we can plug values
At 
:
we can plug values
So, values of k are
Answer:
Step-by-step explanation:
The vertex would be the highest/lowest point so lets factor this first
when we factor we get
2(x^2+6x+8)
2(x+4) (x+2)
Using zero product property we find the 2 x values and x intercepts are
-4 and -2
the middle point of these points is -3
Substitute -3 for x and solve
2(-3+4) (-3+2)
2 * 1 * -1
2*-1
-2
(-3,-2) is the vertex
