Answer:
(x , y) = ( -4 , 1)
Step-by-step explanation:
2x + 7y = -1 --------eqn 1
4x - 3y = -19 ----------eqn 2
Step 1: let's pick eqn 1, to make y the subject of the formula
2x + 7y = -1
7y = -1 - 2x
Divide both sides by 7, to make y the subject of the formula
7y/7 = (-1 - 2x)/7
y = (-1 - 2x) / 7
Step 2: substitute y into the equation 2
4x - 3y = -19
4x - 3(-1 - 2x)/7 = -19
Open the bracket
-3 * -1 = +3
-3 * -2x = +6x
4x +( 3 + 6x)/7 = -19
LCM = 7
(28x + 3 + 6x)/7 = -19
(34x + 3)/7 = -19
Cross multiply
34x + 3 = 7 * -19
34x + 3 = -133
34x = -133 - 3
34x = -136
Divide both sides by 34,to get the value of x
34x/34 = -136/34
x = -4
Step 3: substitute x = -4 into eqn 1
2x + 7y = -1
2(-4) + 7y = -1
-8 + 7y = -1
7y = -1 + 8
7y = 7
Divide both sides by 7, to the value of y
7y/7 = 7/7
y = 1
(x , y) = ( -4 , 1)
Answer:
1/9th.
Step-by-step explanation:
Because the area is measured in units squared, then you have to square 1/3 which is 19th.
Answer:
The answer to your question is the letter A
Step-by-step explanation:
The domain of a function is represented by the x's considering their signs.
The range of a function is represented by the y's considering their signs.
Then, for this example,
Domain = {0, 2, 4}
Range = {2, 6, 10}
The only choice that considers this rules is letter A.
Answer:
Step-by-step explanation:
<u>Polynomials
</u>
a)
The polynomial whose graph is shown is of third degree because it has three real roots. The roots of a polynomial are the values of x that make the expression equal to zero. We can see it happens three times in the graph provided. The roots or zeros are
x=-2, x=1, x=3
b)
The factored form of a polynomial whose roots 
are known is
We know the value of the roots, thus the polynomial is written as
We need to find the value of a. We do that by replacing the value of x=0 and finding a that makes f(0)=3 (as seen in the graph). Thus
Thus the factored form of the polynomial is
c)
Let's multiply all the factors
