Answer:
B (2, 2)
Step-by-step explanation:
Given the graphs of a system of equations then the solution is at the point of intersection of the 2 lines.
That is (2,2) ← is the solution → B
Answer:
C. 
Step-by-step explanation:
I think the equation meant
?
Anyways, to factor these kinds of quadratic, keep into consideration:

ONLY if:

Start off by finding factors of c, which in this case, -18:
±(1, 2, 3, 6, 9, 18)
If one of the numbers is negative then the other number must be positive.
Find which two factors will sum up to b, which in this case, is 3.

The only two factors that work are 6 and -3.
Replace them into the factored form:

Answer:
20 gallons
Step-by-step explanation:
10 gallons of solution w/ 15% juice means 1.5 gal of juice
to make it into 5%, multiply 1.5 by 20
1.5 x 20 = 30
5% of 30 gallons is 1.5 since 10% of 30 is 3.
Since there was already 10 gallons, the # of gallons of pure water added should be 20 gal.
I hope this helps thanks
Answer:
r = 6
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportionality
To find k use the condition r = 4 when M = 160
k =
=
= 2.5, so
M = 2.5r³ ← equation of proportionality
When M = 540, then
540 = 2.5 r³ ( divide both sides by 2.5 )
216 = r³ ( take the cube root of both sides )
r =
= 6
Answer:
See below
Step-by-step explanation:
<u>Question 7</u>
- The rate of change in Health Club A is 12 as given in slope-intercept form
- The rate of change in Health Club B is 21 as given by an increase of $21 per month
- The rate of change in Health Club C is 15 as given by (70-40)/(3-1)=15
- The rate of change in Health Club D is 20 as given by "$20 each month for x months"
- Therefore, Health Club B has the greatest rate of change of $21 per month
<u>Question 8:</u>
- The initial value of Health Club A is 60 as given in slope-intercept form
- The initial value of Health Club B is 0 as given by $0 for 0 months
- The initial value of Health Club C is 25 as given by y=mx+b --> 40=15(1)+b --> b=25
- The initial value of Health Club D is 20 as given by "A customer pays a one-time fee of $20"
- Therefore, Health Club A has the greatest initial value (or y-intercept) of $60