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Aleks04 [339]
3 years ago
5

If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?

Mathematics
1 answer:
Leokris [45]3 years ago
3 0
Just want points byeeee hope u fail jkjkjk
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Find the area of the region under the graph of the function f on the interval
vlada-n [284]

Answer:

9/2

Step-by-step explanation:

this is a simple integral function

given limits of interval [a,b] of a continuous function f(t), you can find the area under the curve by using:

\int\limits^a_b {f(t)} \, dt

\int\limits^3_0 {3x-x^2} \, dx

using the fundamental theorem of calculus that states the integral of f(x) in the interval [a,b] is  = g(a)-g(b), where g(x) is the antiderivative of f(x)

our g(x) = \frac32x^2-\frac13x^3

g(3)-g(0) = g(3) = 27/2 - 27/3 = 27/2-9 = 9/2

8 0
3 years ago
20 points <br><br> What do you remember about types of angles?
Allushta [10]

An acute angle is one that measures LESS than 90˚

An obtuse angle is one that measures between 90˚ and 180˚

A reflex angle is an angle that measures between 180˚ and 360˚

There are other many types of angles such as alternate angles and corresponding angles, but those 3 are the main ones.

Have a great day <3

8 0
3 years ago
What is the equation for shifting the standard sine curve 2 units horizontally?
ratelena [41]
     Just add the displacement value to variable. If this value is positive, the graph will move to the right, otherwise it will shift to left.

f(\O)=sen(\O+x)
 
     Where: x=displacement value

If you notice any mistake in my English, please let me know, because I am not native.
3 0
3 years ago
Find the sum of the first 18 terms of the arithmetic sequence whose nth term is an = 3n - 1.
vodka [1.7K]

Answer:

495

Step-by-step explanation:

In order to find the sum of the first 18 terms you have to find the 18th term and the first term using the equation given.

a1=3(1)-1        a1=2

a18=3(18)-1   a18= 53

Then plug in 53 for an, 18 for n, and 2 in for a1 in the sum equation: Sn=n/2(a1+an)  

Sn=18/2(2+53)  Solve for sn= 495

7 0
3 years ago
If an angle is three times of its supplement, find the angle​
zavuch27 [327]

Answer:

<h2>135° angle</h2>

Let the angle be x it's supplement = (180-x)

x = 3 (180-x)

⇒x=540−3x

⇒4x=540⇒x=135°

Step-by-step explanation:

Hope it is helpful....

5 0
3 years ago
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