To graph y = 4, we make a horizontal line at 4 on the y axis. See image 1
Since it is a horizontal line on the y axis, no matter the input you have for x, the y value is going to be 4. So the points <span> (4, ) (5, ) = </span><span> (4, 4) (5,4 )
For your point ( , 2.59), this is saying y = 2.59 The missing value would be 0. our points are below assuming the information given is complete:
</span>(4, ) (5, ) ( ,2.59) = (4, 4) (5,4 ) (0,2.59)
<u>Given:</u>
The two equations are
and 
We need to solve the equations using elimination method.
<u>Elimination method:</u>
Let us multiply the equation
by 5, we get;
---------(1)
Now, multiplying the equation
by -2, we get;
--------(2)
Adding equations (1) and (2), we have;


Thus, the value of y is 3.
Substituting
in the equation
, we have;




Thus, the value of x is 4.
Hence, the solution of the system of equations is (4,3)
Therefore, Option A is the correct answer.
Answer:
$21,623.70
Step-by-step explanation:
A suitable financial calculator can compute the beginning balance and the remaining balance for you. The attachments show a TI-Nspire calculator's TVM solver app being used to answer this question.
The first attachment shows the computation of the loan value. It is about $37,624.54.
The second attachment shows the computation of the remaining balance after 16 of the 32 semi-annual payments have been made.
The loan balance 8 years from the end of the loan will be about $21,623.70.
Answer:
t = 17.3
Step-by-step explanation:
The following data were obtained from the question:
Angle T = 87°
Opposite T = t =?
Opposite V = v = 14
Opposite U = u = 11
The value of t can be obtained by using cosine rule formula as shown below:
t² = v² + u² – 2vu CosT
t² = 14² + 11² – 2 × 14 × 11 × Cos87°
t² = 196 + 121 – 308 × Cos87°
t² = 317 – 16.119
t² = 300.881
Take the square root of both side
t = √300.881
t = 17.3
Therefore, the value of t is 17.3
Answer:
-3x - 7y
Step-by-step explanation:
x - (4x - 2y) - 5y
x - 4x - 2y - 5y
Combine like terms
x - 4x = -3x
-2y - 5y = -7y
Now, we have our final answer:
-3x - 7y