<h2><u>
PROPORTIONAL EQUATION</u></h2><h3>Exercise</h3>
Apply the means-extremes property of proportions: this allows you to cross multiply:
Apply the distributive property:
Add 24 to both sides:
Substract 3x to both sides
<h3><u>Answer</u>. The value of x = 24.</h3>
Answer:
x=4
Step-by-step explanation:
3/4x+ 4 = 7
Subtract 4 from each side
3/4x+ 4-4 = 7-4
3/4x = 3
Multiply each side by 4/3
4/3 * 3/4 x = 3 * 4/3
x = 4
Answer:
Shawn is correct.
Step-by-step explanation:
Let the quadratic function is g(x) = a(x - h)² + k
Here (h, k) is the vertex of the parabola.
Since this parabola passes through (0, 0), (1, 9) and (-1, 9), axis of symmetry is x = 0 and the vertex is (0, 0).
Therefore, equation of the parabola will be,
g(x) = a(x - 0)²+ 0
g(x) = ax²
for a point (1, 9) which lies on the graph,
9 = a(1)²
a = 9
g(x) = 9x² (here a > 1)
Therefore, f(x) is vertically stretched by a factor of 9 to form g(x).
Shawn is correct.
2x^3y+18xy-10x^2y-90y
= 2xy(x^2 + 9)- 10y(x^2 + 9)
= (x^2 + 9)(2xy - 10y)
= (x^2 + 9) 2y(x - 5)
= 2y (x^2 + 9) (x - 5)
The area for 27 is 64cm^2.
For the mean, you add up all the numbers then divide by how many numbers there are. So you would do 45+96+100+39+50 and divide it by 5. So your mean is 66.
Now for 29.
For when n=5 is 8
For when n=8 is 14
For when n=14 is 26
Hope this helps!
