Answer:38x-34
Step-by-step explanation:
f(x)=x^2+3x-7
g(x)=5x-3
We multiply the entire F equation times two, (x^2+3x-7)*4=
(4x^2+12x-28)
Now the entire g equation by 2, (5x-3)*2
(10x-6)
Now we add both equation
(4x^2+12x-28)+(10x-6)
(4x^2+22x-34)
(4x*4x+22x-34)
(16x+22x-34)
38x-34
Hopefully this is correct :)))
Answer:
The system is consistent because the rightmost column of the augmented matrix is not a pivot column.
Step-by-step explanation:
It is given that the coefficient of the matrix of a linear equation has a pivot position in every row.
It is provided by the Existence and Uniqueness theorem that linear system is said to be consistent when only the column in the rightmost of the matrix which is augmented is not a pivot column.
When the linear system is considered consistent, then every solution set consists of either unique solution where there will be no any variables which are free or infinitely many solutions, when there is at least one free variable. This explains why the system is consistent.
For any m x n augmented matrix of any system, if its co-efficient matrix has a pivot position in every row, then there will never be a row of the form [0 .... 0 b].
It sounds like everything is being described in reference to angle A, so a good starting point is to pick a variable to represent the measure of angle A. I'm going to use "a" for that.
Next, I'm going to take the verbal descriptions in the problem and "translate" them into "math language". They say angle B is 5 times angle A, so that means the measure of angle B is actually 5a. The size of angle C is 5 degrees less than 4 times the size of A, so that translates to 4a-5.
We now know the following:
Angle A: a
Angle B: 5a
Angle C: 4a-5
Now, to find the value of a, we need to remember that all the angles in a triangle add up to 180 degrees.
So we have: a+5a+4a-5 = 180
We can solve that equation by combining like terms to get: 10a-5=180
We can add 5 to both sides: 10a =185
And divide by 10: a = 18.5
That tells us the measure of angle A! (It's 18.5 degrees). Now we can go back and find B by multiplying A by 5. We get 92.5 degrees for that.
Finally, we can find C by taking 4*18.5-5. We get 69 degrees for that.
One last thing-- let's check that they really do add up to 180! 69+92.5+18.5 = 180. Yep!
Hope that helps you!!
Answer: A: 10.4 in^2
Step-by-step explanation:
Answer:
y = 3x - 5
Step-by-step explanation:
Slope m = 3
Using (1,-2)
Slope-intercept: y = mx + b
-2 = 3(1) + b
-2 = 3 + b
b = -5
then y = 3x - 5
