Answer:
one solution
Step-by-step explanation:
-2x - 4 = x - 5
-3x - 4 = -5
-3x = -1
x = 1/3
y = 1/3 - 5
y = 1/3 - 15/3
y = -14/3
(1/3, -14/3)
Answer:
B. An increase in i, the interest rate, will create an increase in P, the monthly payment.
Step-by-step explanation:
We have the formula for the monthly payment as,
,
where P = monthly payment, i = rate of interest, PV = present value and n = time period.
Now, as i increase we get that (1+i) increases and so
increases.
This gives us that,
decreases and so
decreases
Therefore,
increases.
So, we get that as i increases , the value of P will increase.
Hence, option B is correct.
Answer:
a = 615
Step-by-step explanation:
Hey I don't know who Mhanifa is but 25 is correct, and I will put the entire explanation to how to get the answer here.
First of all the 2 lines on the left and right side of the triangles are means that those 2 lines are equal and thus forming a isosceles triangle.
This means that the bottom right angle is also 2x+2 degrees.
Now because all 3 angles in a triangle adds to 180 degrees, we can set up equation.
3x+1+2x+2+2x+2=180
Now combine like terms
7x+5=180
Then solve, first subtract 5 from both sides.
7x=175
Now divide 7 from both sides
x=25
Answer:
The table a not represent a proportional relationship between the two quantities
The table b represent a proportional relationship between the two quantities
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
<u><em>Verify each table</em></u>
<em>Table a</em>
Let
A ----> the independent variable or input value
B ----> the dependent variable or output value
the value of k will be

For A=35, B=92 ---> 
For A=23, B=80 ---> 
the values of k are different
therefore
There is no proportional relationship between the two quantities
<em>Table b</em>
Let
C ----> the independent variable or input value
D ----> the dependent variable or output value
the value of k will be

For C=20, D=8 ---> 
For C=12.5, D=5 ---> 
the values of k are equal
therefore
There is a proportional relationship between the two quantities
The linear equation is equal to
