Answer: Heyaa! :)
<em>Slope: </em>−1
<em>y-intercept: </em>(0,−3)
<em>Slope:</em> 4
<em>y-intercept: </em>(0,−5)
<em>Slope:</em> 2
<em>y-intercept:</em> (0,2)
Slope: −1
<em>y-intercept:</em> (0,4)
- <em>5. 3x+4y=-12 = - 3/4</em>
<em>Slope: </em>−3/4
<em>y-intercept: </em>
(0,−3)
Hopefully this helps<em> you!</em>
<em />
- Matthew
Answer: 310
Step-by-step explanation:
35-15= 20
6200 / 20 = 310
Check the picture below
solve for "x"
when taking the sine, make sure your calculator is in Degree mode, since the angle is in degrees, not radians
Answer:
Step-by-step explanation:
An adult ticket costs $2 more than a child ticket
Let x and (x + $2)represent the cost of the child and adult ticket respectively
2(x+ $2) + 3x = $34
now solving for x
2x+ $4 + 3x = $34
5x = $30
x = $6 , the cost of the child ticket.
the cost of adult ticket $6+2=$8
Answer:
![\displaystyle Maximum: 11](https://tex.z-dn.net/?f=%5Cdisplaystyle%20Maximum%3A%2011)
Step-by-step explanation:
Convert this Quadratic Equation to Vertex Form by completing the square,
:
![\displaystyle -5x^2 -10x + 6 \\ \\ -5x^2 - 10x + 25 + k \\ -5[x^2 + 2x - 5] + k \\ -5[x^2 + 2x + 1] + k → -5[x^2 + 2x + 1] + 11 → f(x) = -5[x + 1]^2 + 11 \\ \\ Vertex: [-1, 11]; 11 = Maximum](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-5x%5E2%20-10x%20%2B%206%20%5C%5C%20%5C%5C%20-5x%5E2%20-%2010x%20%2B%2025%20%2B%20k%20%5C%5C%20-5%5Bx%5E2%20%2B%202x%20-%205%5D%20%2B%20k%20%5C%5C%20-5%5Bx%5E2%20%2B%202x%20%2B%201%5D%20%2B%20k%20%E2%86%92%20-5%5Bx%5E2%20%2B%202x%20%2B%201%5D%20%2B%2011%20%E2%86%92%20f%28x%29%20%3D%20-5%5Bx%20%2B%201%5D%5E2%20%2B%2011%20%5C%5C%20%5C%5C%20Vertex%3A%20%5B-1%2C%2011%5D%3B%2011%20%3D%20Maximum)
So as you can see, each time we broke the equation down, we used the formula
to complete the square.
** In the Vertex Formula, −h gives the OPPOSITE terms of what they really are, so do not forget it.
I am joyous to assist you anytime.