Answer:
a = 0.3 and b = - 1.1
Step-by-step explanation:
(x - 2)² = x² -4x + 4
Hence, x² - 4x + 4 = 3x - 6
x² - 7x + 10 = 0
(x - 5)(x - 2) = 0
∴ x = 5 or 2
f(5) = 25a + 5b = 2 ----- (i)
f(2) = 4a + 2b = -1 ------ (ii)
(i) X 2: 50a + 10b = 4 ----- (iii)
(ii) X 5: 20a + 10a = -5 ---- (iv)
Subtract (iv) from (iii): 30a = 9
a = 0.3
Substitute a into (ii) to obtain b
4(0.3) + 2b = -1
2b = -1 - 1.2 = -2.2
∴ b = -1.1
Step-by-step explanation:
If this is just for gaining points stop doing it. By the way 13 is bigger -8.
5. 5x-5
. ------------------
. 10x²-25x+15
We can first factor 10x²-25x+15, it will turn into (2x-3) and (5x-5)
(if you need help on factoring, please leave a comment)
So the question will be like:
. 5x-5
. ---------------
. (2x-3)(5x-5) The factored answer is the same as the original . number, so the factor answer can replace it.
We know 5x-5 on the top and 5x-5 on the bottom is the same, so they can cancel out, and it will become:
2x-3=0
Then solve
2x-3=0
2x=3
x=2/3
6.
Hope this helps! Please give me the Brainliest answer if you like it! If you have further questions, you can leave a comment or add me as a friend!
(if you need more explanations, please leave a comment)
<h3>
The constant of proportionality is k = 5</h3>
For direct proportion equations, you divide the y value over its corresponding x value to get the value of k.
For example, the point (x,y) = (2,10) is on the diagonal line. So k = y/x = 10/2 = 5.
Another example: the point (x,y) = (6, 30) is also on the same diagonal line, so k = y/x = 30/6 = 5 is the same result as before.
You can use any point on the diagonal line as long as it is not (0,0). This is because division by zero is not allowed.
side note: the direct proportion equation y = k*x becomes y = 5*x which is the graph of that diagonal line. The slope is m = 5, the y intercept is b = 0. All direct proportion graphs go through the origin as shown in the diagram.
Answer:
Step-by-step explanation:
So we have the equation:
Combine like terms:
Add:
Add 16 to both sides:
Divide both sides by 8:
So, our answer is 24.5 :)