Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
y = 7x - 8 → (1)
y = 5x - 2 → (2)
A
Solving by substitution
Substitute y = 7x - 8 into (1)
7x - 8 = 5x - 2 ( subtract 5x from both sides )
2x - 8 = - 2 ( add 8 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Substitute x = 3 into either of the 2 equations and evaluate for y
Substituting into (1)
y = 7(3) - 8 = 21 - 8 = 13
Solution is (3, 13 )
B
The point of intersection of the graph of the 2 equations is the solution to the above equations.
That is point of intersection = (3, 13 )
Answer:
x + 150 deg = 180deg (being co-interior angles)
:. x = 30 deg
2. y^2 + 7= 32 ( opposite sides of parallelogram are equal)
or, y^2 = 25
or y^2 = 5^2
: . y = 5
3. k= 2y^2 ( opposite sides of parallelogram are equal)
or, k = 2× 5^2
: . k = 50
Answer: A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis
Step-by-step explanation:
Remember, a quadratic function which has roots x = a, and x = b, can be written as:
p(x) = A*(x - a)*(x - b)
Where A is the leading coefficient. This is the factorized form of a quadratic.
We have the function:
f(x) = (x - 3)^2
Now, we could rewrite this as:
f(x) = (x - 3)*(x - 3) = 1*(x - 3)*(x - 3)
Then we wrote f(x) in its factorized form, from this, we can see that the roots of the function are x = 3, and x = 3 (we have the same root two times)
Then the only root of f(x) is x = 3.
Remember that a root (also called a zero) is the value of x where the function intersects the x-axis. then the correct option here is:
A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis
Answer:
A company
Step-by-step explanation:
heres the photo of the work shown (dw its not a link lol)
Probability that nbr1 is a boy is p1 = 6/10.
Probability that nbr2 is a boy, given 5 boys left is 5/9
Probability that nbr3 is a boy given 4 boys left is 4/8
Probability that nbr 4 is a boy given 3 boys left is 3/7
Approximately 0.071 or 7.1%
