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Kisachek [45]
2 years ago
12

Which expression is equivalent to -30 - 8x + 50 - 2x?

Mathematics
2 answers:
Makovka662 [10]2 years ago
6 0

-10x + 20 should be the right answer.

katen-ka-za [31]2 years ago
3 0

Answer:

20-10x

Step-by-step explanation:

-30+50=20

-8+ (-2x)= -10x

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Determine whether Rolle's Theorem can be applied to f on the closed interval
Ierofanga [76]

Answer:

Yes, Rolle's theorem can be applied

There is only one value of c such that f'(c) = 0, and this is c = 1.5 (or 3/2 in fraction form)

Step-by-step explanation:

Yes, Rolle's theorem can be applied on this function because the function is continuous in the closed interval (it is a polynomial function) and differentiable  in the open interval, and f(a) = f(b) given that:

f(0)=-0^2+3\,(0)=0\\f(3)=-3^2+3\,(3)=-9+9=0

Then there must be a c in the open interval for which f'(c) =0

In order to find "c", we derive the function and evaluate it at "c", making the derivative equal zero, to solve for c:

f(x)=-x^2+3\,x\\f'(x)=-2\,x+3\\f'(c)=-2\,c+3\\0=-2\,c+3\\2\,c=3\\c=\frac{3}{2} =1.5

There is a unique answer for c, and that is c = 1.5

6 0
2 years ago
Read 2 more answers
Don't know what to do :\\
____ [38]
Answer: Choice A) 12x^2 - 48x + 21; all real numbers

===========================================================

Work Shown:

(f * g)(x) = f(x) * g(x)
(f * g)(x) = ( f(x) ) * ( g(x) )
(f * g)(x) = ( -2x+7 ) * ( -6x+3 )
(f * g)(x) = -2x*( -6x+3 ) + 7*( -6x+3 )
(f * g)(x) = -2x*(-6x) - 2x*(3) + 7*(-6x) + 7*(3)
(f * g)(x) = 12x^2 - 6x - 42x + 21
(f * g)(x) = 12x^2 - 48x + 21

The domain is the set of all real numbers because we can plug in any number in for x, to get some output for y. There are no issues to worry about such as division by zero errors, square root of a negative number, etc. 
6 0
3 years ago
Cindy shoots a bottle rocket straight up into the air such that its height h, in feet, at time t, in seconds, is given by the fu
dezoksy [38]

Answer:

t = [0.493,4.2]

Step-by-step explanation:

The height of the rocket straight up into the air is given by :

h(t)=-16t^2+85t+5

We need to find the interval the rocket be at least 43 feet above the ground.

43\ge -16t^2+85t+5\\\\t\ge 0.493\ and\ t\le 4.82\ s

So, the required interval during which the rocket is at least 43 feet above the ground is [0.493,4.2].

6 0
2 years ago
What is the equivalent to this fraction <br> 6/8 &amp; 3/4 = ?
mr Goodwill [35]

Answer:

3/4 x 2/2= 6/8

Step-by-step explanation:

multiply 3/4 x 2/2 to equal = 6/8

3 0
2 years ago
jamal works in a city and sometimes takes a taxi to work. the taxicab charge $1.50 for the first 1/5 miles and $0.25 for each ad
Llana [10]
One and one-fifth mile
6 0
3 years ago
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