Equ 1: X-Y=5
equ 2: x∗y=36
from Equ 1
X=5+Y------equ 3
substitute x=5+y in equ 2
(5+y)∗y=36
5y+y^2=36
y^2+5y-36=0
factorize by substitution
(y^2+9y)-(4y-36)=0
y(y+9)-4(y+9)=0
(y-4)(y+9)=0
y=4 or y=-9....
substitute y=4 or -9 in equ 1
x-4=5
x=5+4
x=9 OR
x-(-9)=5
x+9=5
x=5-9
x=-4
since -4∗-9=36
therefore y=-9 and x=-4
Answer:
He didn't calculate the b-value correctly.
Step-by-step explanation:
The given parent function is:

The transformation is of the form:

The period is given by

If we want the new function to have a period of

Then we solve the following equation for b.



will translate the graph horizontally to the right by

units.
+d shifts the graph up by d units.
The new function then becomes:

Answer:
9/44 of an hour, or just over 12 minutes
Step-by-step explanation:
Person 1 + Person 2 divided by Person 1 x Person 2 = Both together
9 + x / 9*x = 5
9+x/9x = 5
Multiply both sides by 9x
9 + x = 45x
Subtract x from both sides
9 = 44x
Divide by 44 to get x.
9/44 of an hour
First you need to factor the problems by using a couple of different methods, but the easiest could be the factor tree:
for example with 4-6a
you would put 4 = 2•2 so 2 is it’s GCF
and 6= 3•2 so 3 is it’s GCF
however the question is asking for the combined GCF (meaning the whole problem)
so 4-6a’s GCF would be 2 considering it is the only greatest common factor between BOTH numbers
for 12a^2 - 8a you would use the same method:
12a^2= 3a•2a•2 and 3a is it’s GCF
8a = 2•2•2a and 2a is it’s GCF
but combined, the greatest factor BOTH numbers have in common is 2a, so 2a is the answer!
i hope i helped you :)!❤️
Answer:
B
Step-by-step explanation:
The dots are pretty close to each other and are going negatively so there is a correlation ( so C and D can't be right) and the dots are going negative ( so A can't be right) meaning B is right :)