add 6a and 5a and get 11a
then:
11a=-11
a=-1
Answer:
$69.60
Step-by-step explanation:
A gym membership is offered in January for $29.00 per month.
Monthly payment:
Upfront payment:
If you pay upfront for the year you save 20% discount, then you'll save 20% of $348 that is
a) Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of equations
b) since the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of equation
In order to show if the given point corresponds to the given function, we will have to substitute the value of x into the function to see if we will have its corresponding y-value
For the point (-0.8, -0.6), substitute x = -0.8 into both functions as shown:
f(x) = 2x + 1
f(-0.8) = 2(-0.8) + 1
f(-0.8) = -1.6 + 1
f(-0.8) = -0.6
Simiarly;
y = -3(-0.8)- 3
y = 2.4 - 3
y = -0.6
Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of equations
For the point (1/3, 2), substitute x = 1/3 into both functions as shown:
x = (y+2)/2
x = (2+2)/2
x = 4/2
x = 2
Simiarly;
x + 2 = 3
x = 3-2
x = 1
Since the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of equations
Learn more on systems of equation here: brainly.com/question/847634
Complete question :
Suppose the average yearly salary of an individual whose final degree is a master's is $41 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $118 thousand. Find the average yearly salary of an individual with each of these final degrees.
Answer:
Bachelors = $53000
Masters = $65000
Step-by-step explanation:
Given that :
Let Salary of bachelor's degree holder = b
Salary of Master's degree holder = 2b - 41000
Master's + bachelor's salary = $118,000
Hence,
2b - 41000 + b = 118,000
3b = 118000 + 41000
3b = 159000
b = 159000 / 3
b = $53,000
Bachelor's degree salary = $53,000
Master's degree salary ; 2b - 41000
2(53000) - 41000 = 65000
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
use Cos for y .... b/c we see that function above has all the pieces we are going to work with
use Sin for x .. for the same reason above
Cos(30) = y / 4
4Cos(30) = y
4
/2 = y
2
= y
leave the answer for y like that.. it's in 'exact" form
now for x
Sin(30) = x / 4
4Sin(30) = x
4* 1/2 = x
2 = x
and leave your answer for x like that as it's in it's exact form. :)
oh and I see the answer in the list.. do you? :)
