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sergey [27]
3 years ago
10

Given: f(x)=x²-5 s(x) = x² +5

Mathematics
1 answer:
larisa86 [58]3 years ago
8 0
The answer is - balalalalalalalalalak you should figure it out
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Consider the following functions.G(x) = 4x2; f(x) = 8x(a)
noname [10]

Answer:

(a) B. G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.

(b) Every function of the form 4x^2+C is an antiderivative of 8x

Step-by-step explanation:

A function <em>F </em>is an antiderivative of the function <em>f</em> if

F'(x)=f(x)

for all x in the domain of <em>f.</em>

(a) If f(x) = 8x, then G(x)=4x^2 is an antiderivative of <em>f </em>because

G'(x)=8x=f(x)

Therefore, G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.

Let F be an antiderivative of f. Then, for each constant C, the function F(x) + C is also an antiderivative of <em>f</em>.

(b) Because

\frac{d}{dx}(4x^2)=8x

then G(x)=4x^2 is an antiderivative of f(x) = 8x. Therefore, every antiderivative of 8x is of the form 4x^2+C for some constant C, and every function of the form 4x^2+C is an antiderivative of 8x.

8 0
3 years ago
-2x-9y=-25 -4x-9y=-23 system with elimination
REY [17]
Multiply the first equation by -2. It turns into 4x+18y=50 and the other one stays -4x-9y=-23. Then you "eliminate" the equations by "adding" them. Set it up like this: 
4x+18y=50
      +
-4x-9y=-23
4x-4x= 0. 18y-9y= 9y and 50-23= 27
SO: 9y= 27 and y= 3
And then you plug that in to one equation: 4x +18(3)= 50. 4x= 50-(18*3)
4x= -4, so x=-1.
Plug it back in to check! 
Hope this helps. Happy solving! :)
4 0
2 years ago
Read 2 more answers
Does it matter which dimensions you select for the lenght and the width when you find the area of a rectangle? Explain
Levart [38]
It does not. So Long as the length is multipled by the height aka Long edge multiplied with the short edge, you will obtain the area of the rectangle.
3 0
3 years ago
Ryan is biking at 31.8 miles per hour. what is his speed in feet per second? round to nearest tenth
aliina [53]

Answer:

46.6 ft/sec (to the nearest tenth)

Step-by-step explanation:

There's a common identity useful here:  60 mph = 88 ft/sec.

Mult. 31.8 mph by the conversion factor (88 ft/sec) / (60 mph), obtaining:

46.64 ft/sec.


3 0
3 years ago
austin ran "a" miles. joshua ran at least one more than 3 times the number of miles that austin ran. write an inequality that co
Mnenie [13.5K]
3a > a is the inequality
7 0
3 years ago
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