Answer:
15) <u><em>y= 1/2 + 3.75</em></u>
16) <u><em>y = x</em></u>
Step-by-step explanation:
For #15)
<em>Equation used: y=mx+b ; Slope: y₂ - y₁ / x₂ - x₁</em>
1) First, you need to pick any 2 points on the graph. I'll use (6,3) and (8,4).
2.1) Then you'll use the <em>slope </em>equation to find the slope (m) of your equation.
(y) ~ 4 - 3 = 1
(x) ~ 8 - 6 = 2
Slope= 1/2
3) So from the look of the answers, the y here is 3.75 so you can trust that.
4) The final equation is <u><em>y= 1/2 + 3.75</em></u>
<u><em /></u>
For #16)
Use the same steps as #15. You can still choose whatever points/plots you want. Ima use (5,4) and (6,5).
(y) ~ 4 - 3 = 1
(x) ~ 6 - 5 = 1
slope= 1 or x
Answer: y=x
<em>Your welcome for the answer! <3</em>
22:7 simplified is 3 1/7 since 7times3 is 21 and with one left it makes 3 1/7
Start by moving all terms to left side of equation 4x^2 - 19x - 30 = 0
Multiply 4 x -30 = -120
Now find two factors of 120 that subtract to give 19... 1 x 120, 2 x 60, 3 x 40, 4 x 30, 5 x 24 ✅
[if it had been +120 we would add the factors looking for 19 which in this case don’t exist]
To get -19 we will need 5 + -24
24 is a multiple of 4 so we can use 4 x -6 and 1 x 5
Giving a factored equation of (4x + 5)(x - 6) = 0 [you should check this by expanding to remove the brackets]
One of the brackets must = zero so the solutions are x = -5/4 or x = 6
Some people look at factors of 4 and -30 and then pair then up to find a sum of -19 but this can take longer to finish.
When the triangle is reflected across the x-axis, then point B would be (6, -6), but when it's also translated four units to the left, it will be (2, -6).
When you reflect something across an axis, then a point you recall will have the x or y value have the opposite sign (i.e. 6 would become -6 across the x-axis and vice versa).
When you translate something across the graph, you are adding to the x value when shifting to the right, subtracting from the x value when shifting to the left, adding to the y value when shifting upward, and subtracting from the y value when shifting downward.
∴, B = (2, -6).
Constant terms are just numbers (no x). The answer is 2
