Step-by-step explanation:
f(x) = -7x² - x
g(x) = 9x² - 4x
(f - g)(x) = (-7x² - x) - (9x² - 4x)
(f - g)(x) = (-7x² - 9x²) + (-x + 4x)
(f - g)(x) = -16x² + 3x
(f - g)(1) = -16(1)² + 3(1)
(f - g)(1) = -16.1 + 3
(f - g)(1) = -16 + 3
(f - g)(1) = -13
Answer:
4.5
Step-by-step explanation:
The median we know is the middle number of a set of numbers. Putting the set in least to great order, we have (1, 3, 3, 6, 8, 9). The middle number here is 3 and 6. We take the mean of 3 and 6, (3+6)/2 which gives us 4.5 and that is our answer.
Answer:
y = - 3x - 22
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 
x + 1 ← is in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= - 3 , then
y = - 3x + c ← is the partial equation
To find c substitute (- 6, - 4) into the partial equation
- 4 = 18 + c ⇒ c = - 4 - 18 = - 22
y = - 3x - 22 ← equation of perpendicular line
What do you need help with?
Answer:
1/2
Step-by-step explanation:
Let's define these trigonometric functions:
- tangent (tan): opposite / adjacent
- cotangent (cot): adjacent / opposite
Basically, tangent and cotangent are reciprocals of each other.
We know that cot(x) = 2. The reciprocal of 2 is 1/2, which means that tan(x) = 1/2.
Thus, the answer is 1/2.
<em>~ an aesthetics lover</em>
