Answer:
f(x) = (x + 6)² - 29
Step-by-step explanation:
Given
f(x) = x² + 12x + 7
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² + 12x
x² + 2(6)x + 36 - 36 + 7
= (x + 6)² - 29, thus
f(x) = (x + 6)² - 29
Answer:
2x-8
Step-by-step explanation:
The word "from" tells you that the first part of the sentence should be at the back of the equation because you're taking from the product of 2 times a number, the number is unknown so it is known as "x."
The function is always positive.
(0,5) is the y-intercept, since the graphed line never crosses the x axis, there is no x-intercept.
The function is positive and greater than 4 for all values of x
Not sure what the actual choices are on a couple of the questions. The choices would help answering.
First, we know this diagram consists of two horizontal lines cut by a transversal line. Therefore, we know that the given angle that measures 113° and the angle we want to find are alternate interior angles. Since all alternate interior angles are equal, we know the unknown angle must also be 113°.
I hope this helps.
Answer:
Find the negative reciprocal of the gradient, so 3 / 5 will switch its denominator with its numerator, and it will have the opposite sign.
So 3/5 will be - 5/3
Answer:
y = - 5 / 3x + 2