First factor -12m^n - 49mn - 44n^2 to get -(4n+3m)(11n + 4m) then the equation would be:
-(3m + 4n)(4m + 11n) / (-3m - 4n)
Then, cancel out the like terms and the final answer would be
4m + 11n
Answer:
f(6) = -14
Step-by-step explanation:
x = -6
f(x) = x^2/3 - 2
f(-6) = (-6)^2/3 -2 Replace x with the given number
= -36/3 - 2 Simplify -6 to the power of 2
= - 12 - 2 Divide -36 by 3
f(6) = - 14 Subtract -2 from -12
Answer:
The values of x that satisfy the given equation are:
x1 = 1.183 + nπ
x2 = -1.183 + nπ
Step-by-step explanation:
Given tan²x - sin²x/sin²x = 5
Simplifying this, we have
tan²x - 1 = 5
Adding 1 to both sides, we have
tan²x = 6
Because tan²x = (tanx)², we can write as
(tanx)² = 6
Taking square roots of both sides, we have.
tanx = ±√6
x = arctan(±√6) + nπ
≈ 1.183 + nπ or -1.183 + nπ
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (3, 1), hence
y = a(x - 3)² + 1
To find a substitute (- 2, - 4) into the equation
- 4 = a(- 2 - 3)² + 1
- 4 = 25a + 1 ( subtract 1 from both sides )
25a = - 5 ( divide both sides by 25 )
a = - 
= - 
y = - (x - 3)² + 1 ← in vertex form
The amount spent based on the information in the pie chart include:
Transportation = $187.50
Lunch = $375
Entertainment = $225
Others = $112.50
<h3>How to illustrate the information?</h3>
From the information, the following can be deduced:
Amount spent = $900
Transportation = 75°
Lunch = 150°
Entertainment = 90°
Therefore, Others will be:
= 360° - (150° + 75° + 90°)
= 360° - 315°
= 45°
Transportation = 75° = 75/360 × $900 = $187.50
Lunch = 150° = 150/360 × $900 = $375
Entertainment = 90° = 90/360 × $900 = $225
Others = 45° = 45/360 × $900 = $112.50
Learn more about pie chart on:
brainly.com/question/26851221
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