Instead of using = sign change it to < sign to make problem true
46/8<6.75
1. Factoring a quadratic expression ax2 + bx + c, where a ≠ 1, is different from factoring x2 + bx + c because for the former type of expression you have to factor out the value of "a". Then, proceed to the factoring steps as usual.
2. To confirm the equations to be equal with the parent function we do as follows:
<span> (2x – 4)(x + 5) = 2x^2 + 10x - 4x - 20 = 2x^2 + 6x -20
</span><span>(x – 2)(2x + 10) = 2x^2 +10x - 4x -20 = 2x^2 +6x - 20
3. The roots of the quadratic expression represents the values of x that would satisfy the expression. The x-intercepts are the values of x when y is equal to zero, it is where the plot touches intersects the x-axis.</span>
Answer:
x = 27
Step-by-step explanation:
Since AC and DE are parallel lines, then
∠ BAD = ∠ EDF= 2x ( corresponding angles )
The sum of the 3 angles in Δ BAD = 180°, thus
2x + 2x + 72 = 180, that is
4x + 72 = 180 ( subtract 72 from both sides )
4x = 108 ( divide both sides by 4 )
x = 27
<h2>
Hello!</h2>
The answer is:
The x-coordinate of the solution to the system of equations is:
<h2>
Why?</h2>
We can solve the problem writing both equations as a system of equations.
So, we are given the equations:
Then, solving by reduction we have:
Multiplying the first equation by 2 in order to reduce the variable "x", we have:
Now, substituting "y" into the first equation, to isolate "x" we have:
Hence we have that the x-coordinate of the solution to the system of equations is
Have a nice day!
Answer:
The value of the test statistic is 
Step-by-step explanation:
The null hypothesis is:
The alternate hypotesis is:
Our test statistic is:
In which X is the sample mean, 
is the null hypothesis value, 
is the standard deviation and n is the size of the sample.
In this problem:
So
The value of the test statistic is
