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zaharov [31]
3 years ago
14

How do you factorise this equaction α²+24α-25

Mathematics
1 answer:
musickatia [10]3 years ago
7 0
A^2+25a-a-25
a(a+25)-1(a+25)
(a+25)(a-1)
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3(x+2)=-5-2(x-3)<br>helps plzs!!!!!.....<br>​
konstantin123 [22]
3x+6=-5-2x-6
3x=-5-2x-6-6
3x+2x=-5-6-6
5x=-17
X=-17/5
X=-3.4
7 0
3 years ago
Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (Enter your answers using inte
Mashcka [7]

Answer:

f'(x) > 0 on (-\infty ,\frac{1}{e}) and f'(x)<0 on(\frac{1}{e},\infty)

Step-by-step explanation:

1) To find and interval where any given function is increasing, the first derivative of its function must be greater than zero:

f'(x)>0

To find its decreasing interval :

f'(x)

2) Then let's find the critical point of this function:

f'(x)=\frac{\mathrm{d} }{\mathrm{d} x}[6-2^{2x}]=\frac{\mathrm{d} }{\mathrm{d}x}[6]-\frac{\mathrm{d}}{\mathrm{d}x}[2^{2x}]=0-[ln(2)*2^{2x}*\frac{\mathrm{d}}{\mathrm{d}x}[2x]=-ln(2)*2^{2x}*2=-ln2*2^{2x+1\Rightarrow }f'(x)=-ln(2)*2^{2x}*2\\-ln(2)*2^{2x+1}=-2x^{2x}(ln(x)+1)=0

2.2 Solving for x this equation, this will lead us to one critical point since x'  is not defined for Real set, and x''=\frac{1}{e}≈0.37 for e≈2.72

x^{2x}=0 \ni \mathbb{R}\\(ln(x)+1)=0\Rightarrow ln(x)=-1\Rightarrow x=e^{-1}\Rightarrow x\approx 2.72^{-1}x\approx 0.37

3) Finally, check it out the critical point, i.e. f'(x) >0 and below f'(x)<0.

8 0
3 years ago
What are the dimensions of a rectangle with an area of 304 and a perimeter of 70?
Hitman42 [59]
Area = 304 cm^2
perimeter = 70
perimeter = 2(l+w)
70 = 2(l+w)
70/2 = l+w
35 = l+w
Now suppose the length would be = x
width would be= 35-x
NOW Area = l*w
304 = x * (35-x)
304 = 35x -x^2
x^2-35x+304 = 0 
use quadratic formula to solve next ok 
<span> 
</span>
5 0
3 years ago
Dion flips a coin 20 times and records if it comes up heads. if getting heads is a success, what is the probability of a success
hram777 [196]

The probability of a success on each roll of the coin that is filipped by Dion is 0.5.

<h3>What is the probability?</h3>

Probability is the likelihood that a stated event would occur. The odds the event occurs is 1 and the odds that the event does not happen is 0. If a coin is flipped, there is 50% chance of getting either a head or a tail.

To learn more about probability, please check: brainly.com/question/13234031

#SPJ4

4 0
2 years ago
80 percent of 230 is the same as 25 percent of what number?
vredina [299]

Answer:

736

Step-by-step explanation:

.8x230=184, 184x4=736

7 0
3 years ago
Read 2 more answers
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