Answer: {x,y}={-1,2}
step-by-step explanation:
// Solve equation [2] for the variable x
[2] 2x = 5y - 12
[2] x = 5y/2 - 6
// Plug this in for variable x in equation [1]
[1] 2•(5y/2-6) + 3y = 4
[1] 8y = 16
// Solve equation [1] for the variable y
[1] 8y = 16
[1] y = 2
// By now we know this much :
x = 5y/2-6
y = 2
// Use the y value to solve for x
x = (5/2)(2)-6 = -1
Solution :
{x,y} = {-1,2}
Answer:
The zeros are x=5 and x=3
Step-by-step explanation:
x^2-8x+15
To find the zeros, we set the equation equal to zero
x^2-8x+15 =0
Factor the equation
What 2 numbers multiply to 15 and add to -8
-5*-3 = 15
-5+-3 = -8
(x-5) (x-3) =0
Using the zero product property
x-5 =0 x-3 =0
x=5 x=3
The zeros are x=5 and x=3
Answer:
4
Step-by-step explanation:
Answer:
Option A is correct
(–5, –28)
Step-by-step explanation:
For a quadratic equation:
We know that convert of quadratic into vertex form, using the method of completing the square is,
where,
(h, k) is the vertex.
As per the statement:
The function
written in vertex form is:
From the above definition we have;
h = -5 and k = -28
Therefore, the coordinates of the vertex is, (-5, -28)
Answer:
Point estimate: 0.391
Margin of error: 0.042
Step-by-step explanation:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The margin of error is the absolute difference between these bounds and the point estimate.
In this question:
Lower bound: 0.349
Upper bound: 0.433
Point estimate: (0.349 + 0.433)/2 = 0.391
Margin of error: |0.349 - 0.391| = |0.433 - 0.391| = 0.042