Answer:
Therefore, the solutions of the quadratic equations are:
The graph is also attached.
Step-by-step explanation:
The solution of the graph could be obtained by finding the x-intercept.
Finding the x-intercept by substituting the value y = 0
so
∵ y = 0
So, when y = 0, then x values are 3, and 5.
Therefore, the solutions of the quadratic equations are:
The graph is also attached. As the graph is a Parabola. It is visible from the graph that the values of y = 0 at x = 5 and x = 3. As the graph is a Parabola.
Okay. You can decompose 749 with these ways:
700 + 40 + 9
or
500 + 200 + 40 + 9
Answer: 
Step-by-step explanation:
Properties of logarithm:
Consider,
![2\log x-\log y+2 \log z\\\\ =\log x^2-\log y+\log z^2\ \ \ \ \text{[By (i)]}\\\\= \log x^2+\log z^2-\log y\\\\=\log(x^2z^2)-\log y\ \ \ \ [\text{By } (ii) ]\\\\=\log(\dfrac{x^2z^2}{y}) \ \ \ \ [\text{By (iii)}]](https://tex.z-dn.net/?f=2%5Clog%20x-%5Clog%20y%2B2%20%5Clog%20z%5C%5C%5C%5C%20%3D%5Clog%20x%5E2-%5Clog%20y%2B%5Clog%20z%5E2%5C%20%5C%20%5C%20%5C%20%5Ctext%7B%5BBy%20%28i%29%5D%7D%5C%5C%5C%5C%3D%20%5Clog%20x%5E2%2B%5Clog%20z%5E2-%5Clog%20y%5C%5C%5C%5C%3D%5Clog%28x%5E2z%5E2%29-%5Clog%20y%5C%20%5C%20%5C%20%5C%20%5B%5Ctext%7BBy%20%7D%20%28ii%29%20%5D%5C%5C%5C%5C%3D%5Clog%28%5Cdfrac%7Bx%5E2z%5E2%7D%7By%7D%29%20%20%20%20%5C%20%5C%20%5C%20%5C%20%5B%5Ctext%7BBy%20%28iii%29%7D%5D)
Answer:
See below and attachment
Step-by-step explanation:
<u>Given function:</u>
<em>The graph is attached and the axis of symmetry and all the required points plotted </em>
a) Axis of symmetry:
b) It has no minimum as the leading coefficient is negative.
- Maximum value is at vertex- the point (3, 4).
- Maximum value is y = 4
c) and d) x - and y - intercepts already given in the question
e) Domain is all real numbers. x = ( -∞, +∞ )
Range is y = ( - ∞, 4]
Answer:
y = 444mmm + 333
Step-by-step explanation:
let total marbles = y
putting mmm marbles in 444 bags we have the total in the bags to be 444mmm
but there are 333 marbles left that didnt fit in the bags giving us (+333)
adding them both together
therefore the total marbles will be 444mmm + 333
