There are many ways to check if the point (1,3) is a solution to the linear equation 
.
Let us check it by expressing y in terms of x.
The given expression is 5x-9y=32. If we add -5x to both sides we will get:
Multiplying both sides by -1 we will get:
In order to isolate y, we will divide both sides by 9 to get:
Now let us plug in the given value of x=1 from the point (1,3). This should give us y=3. Let us see if we get y=3 when we plug x=1 in the above equation.
Thus, we see that when x=1, y=-3 and that 
and hence we conclude that the point (1,3) is not a solution to the original given linear equation 5x-9y=32.
For a better understanding of the explanation given here a graph has been attached. As can be seen from the graph, (1,3) does not lie on the straight line that represents 5x-9y=32, but (1,-3) does lie on it as we had just found out.
Answer:
10.90⁰
11.126⁰
12.54⁰
13.180⁰
Step-by-step explanation:
CDE is 180⁰ because it is a straight line
The y-intercept of 1000 in the graph is at the point where x is equal to 0.
At 
, it means no month have passed. It is the initial point where Zen deposited the money.
What is the amount (y axis)? 1000!
So y represents the initial deposit of Zen, which is 1000.
ANSWER: Answer choice D (Amount of money Zen deposited in the savings account)
Answer:
Functions are linearly dependent (are not linearly independent.)
Step-by-step explanation:
Remember that two functions f(x), g(x) and h(x) are said linearly independent on an interval I if the <em>only solution</em> to the equation
is the trivial one: α = 0, β = 0, ω = 0. If they are not linearly independent, they are called linearly dependent.
Now, let f(x), g(x) and h(x) be the functions:
Then, letting α = 1, β= -1 and ω = -2, we see that:
Hence, the functions f(x), g(x) and h(x) are not linearly independent, or equivalently, are linearly dependent.
Answer:
40
Step-by-step explanation:
area= length times width
1 times 10= 10 times 2= 20
2 times 10=20
20+20=40
