Answer:
a=25
b=7
Step-by-step explanation:
16/32 = P/100
Cross multiply
p(32) = 16(100)
32p = 1600
divide by 32 on both sides
p = 50 %
Answer:
u = -2
Explanation:
Slope of the line can be calculated using the following rule:
slope = (y2-y1) / (x2-x1)
We are given :
slope = 1/8
point (u,-9) represent (x1,y1)
point (6,-8) represent (x2,y2)
Substitute with the givens in the above equation and solve for u as follows:
slope = (y2-y1) / (x2-x1)
1/8 = (-8--9) / (6-u)
1/8 = (1) / (6-u)
1* (6-u) = 1*8
6-u = 8
u = 6-8
u = -2
Hope this helps :)
5x ÷ x² - 9 + 7 ÷ x + 3
Write the division as a fraction:
- 9 + 
+ 3
Simplify the expression:
- 9 + + 3
Calculate the sum:
- 6 +
Write all numerators above the common denominator:
Add the numbers and you get the final answer:
Answer:
Statements 3, 4 and 5 are true.
Step-by-step explanation:
x^2 - 8x + 4
Using the quadratic formula:
x = [ -(-8) +/- √((-8)^2 - 4*1*4)] / 2
= (8 +/- √(64 - 16)) / 2
= 4 +/- √48 / 2
= 4 +/- 4√3/2
= 4 +/- 2√3.
So the third statement is true.
Converting to vertex form:
x^2 - 8x + 4
= (x - 4)^2 - 16 + 4
= (x - 4)^2 -12
So the extreme value is at (4, -12)
So the fourth statement is true.
The coefficient of the term in x^2 is 1 (positive) so the graph has a minimum.
