<em>24p² + pq - 23q² = </em>
<em>= 24p² + 24pq - 23pq - 23q²</em>
<em>= 24p(p + q) - 23q(p + q)</em>
<em>= (p + q)(24p - 23q)</em>
<em />
<em />
I assume that 0.53 with a bar means the decimal fraction in which 3 is repeating.
24/45, 8/15, and 48/90 all result in the same decimal value. Thus, we are simply looking for the one that is fully simplified.
The correct answer is 8/15.
Hope this helps!
<em>Answer:</em>
<em>12000</em>
<em>Step-by-step explanation:</em>
<em>20% of 15000 is 3000.</em>
<em>So he will pay 12000.</em>
<em></em>
<em>Hope I helped you!</em>
<em></em>
Answer:
Yes they will intersect
Function 1= F(X)=2X+5
Function 2=H(X)=3X+2
INTERSECT=(3,11)
Step-by-step explanation:
First of all, we create 2 LINEAR function, i created the function f(x)=2x+5 and the function h(x)=3x+2, both are linear(without a quadratic term). Then
you replace the x for a number:
Table 1 (F(X)=2X+5) Table 2 (H(X)=3X+2)
X=1----->Y=2+5=7 X=1------>Y=3·1+2=5
X=2---->Y=2·2+5=9 X=2----->Y=3·2+2=8
X=3---->Y=3·3+5=11 X=3----->Y=3·3+2=11
With both tables of data we can see that in the X=3/Y=11 point this two linear functions will intersect so the answer is that the two functions will intersect at (3,11)----->(X,Y)
Adding a positive to a negative, you would look at the number with the greater absolute value, and that number would determine the sign of the sum.
5 - 3 = 2
Since 5 is bigger, you use that sign
-5
-2
Answer: -2
