Answer:
(3, 1)
Step-by-step explanation:
y = -4x² + 24x - 35
Find the vertex by using the formula:
- (h, k) →
![\displaystyle \Big [ -\frac{b}{2a}, \ f \Big (-\frac{b}{2a} \Big ) \Big ]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5CBig%20%5B%20-%5Cfrac%7Bb%7D%7B2a%7D%2C%20%5C%20f%20%5CBig%20%28-%5Cfrac%7Bb%7D%7B2a%7D%20%5CBig%20%29%20%5CBig%20%5D)
In this problem, we have:
Using 24 for b and -4 for a, we can substitute these values into the vertex formula:
The h-value for the vertex is 3.
Now let's plug 3 back into the standard form equation to solve for the k-value of the vertex.
The k-value for the vertex is 1.
The vertex of the parabola is (3, 1).
What we know:
Perimeter=60
Perimeter formula=2l+2w
l=2w
This perimeter has the following set up using p=60 and l=2w:
perimeter =2(l)+2w
60=2(2w)+2w
60=4w+2w
60=6w
Now that we know how many w's we need to have we can use this information to find which equations have 6 w's and which one does not.
Look at the first equation:
2(2w+w)=60 distributive power
4w+2w=60 like terms
6w=60 correct
second equation:
w+2w+w+2w=60
6w=60 like terms, correct
third equation:
2w+2x2w=60 multiplication property
2w+4w=60 like terms
6w=60 correct
fourth equation:
w+2w=60 like terms
3w=60 not correct
Fourth equation is not correct.
Answer:
6x
Step-by-step explanation:
I'm pretty sure
Answer: y = 6x
Step-by-step explanation:
Since this is a direct proportion, we will introduce the constant of proportionality here and this will be:
y = kx
Since y = 30 and x= 5,
30 = 5 × k
30 = 5k
k = 30/5
k = 6
Therefore, the equation that connects y to x will be:
y = kx
y = 6x
The equation that connects y to x is y = 6x.
