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Ira Lisetskai [31]
3 years ago
9

Find the difference x/25x-125-1/x^2-5x

Mathematics
1 answer:
lozanna [386]3 years ago
4 0
The difference of <span> x/25x-125-1/x^2-5x

</span> (x/25x-125)-1/(x^2-5x)=  x / 25(x-5)   -  1/ x(x-5) = (1/x-5)(x/25-1/x) factorized by 1/x-5, and (1/x-5)(x/25-1/x) = (1/x-5)(x²-25/25x)= <span>(1/x-5)  [(x-5)(x+5) / 25x]
</span>= (x+5) / <span>25x  simplified by x-5
</span><span>so the final answer is 
</span> x/25x-125-1/x^2-5x = (x+5) / <span>25x</span>
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Find the vertex of the parabola.
7nadin3 [17]

Answer:

C: (3,1)

Step-by-step explanation:

y = -4x² + 24x - 35

y = -4(x² - 6x) - 35

y = -4[x² - 2(x)(3) + 3² - 3²] - 35

y = -4(x - 3)² -4(-9) - 35

y = -4(x - 3)² + 36 - 35

y = -4(x - 3)² + 1

Vertex (3,1)

7 0
3 years ago
If the perimeter of the regular pentagon is 75 cm what is the length of each side
mariarad [96]

Answer:

15 (mark me brainliest if you want and lmk if you need more help understanding)

Step-by-step explanation:

perimeter is (l*w)*2

if a pentagon is 5 sided, you do 75/5 which is 15.

each side has 15 cm

5 0
3 years ago
A coin and a normal dice is rolled. how many possible outcomes are there
alexira [117]
Outcomes for what tho exactly?
8 0
3 years ago
How do you solve for the segment area in a circle?
Aleks04 [339]
The area of the entire sector of DEF = 60 / 360 * PI * radius^2
sector area = 1 / 6 * 3.14159265... * 20^2
sector area = <span> <span> <span> 209.4395102393 </span> </span> </span>

segment area = sector area - triangle DEF Area
triangle DEF Area = (1/2) * 20 * sine 60 * 20
triangle DEF Area = (1/2) * 0.86603 * 400
triangle DEF Area = <span><span><span>(1/2) * 346.412 </span> </span> </span>
triangle DEF Area = <span> <span> <span> 173.206 </span> </span> </span>

segment area = <span> <span> 209.4395102393 </span> -173.206
</span>
segment area = <span> <span> <span> 36.2335102393 </span> </span> </span>
segment area = 36.23 m

Source:
http://www.1728.org/circsect.htm



6 0
3 years ago
Two college roommates have each committed to donating to charity each week for the next year. The roommates’ weekly incomes are
schepotkina [342]

Answer:

C. 5 weeks.

Step-by-step explanation:

In this question we have a random variable that is equal to the sum of two normal-distributed random variables.

If we have two random variables X and Y, both normally distributed, the sum will have this properties:

S=X+Y\\\\\ \mu_S=\mu_X+\mu_Y=30+60=90\\\\\sigma_S=\sqrt{\sigma_X^2+\sigma_Y^2}=\sqrt{10^2+20^2}=\sqrt{100+400}=\sqrt{500}=22.36

To calculate the expected weeks that the donation exceeds $120, first we can calculate the probability of S>120:

z=\frac{S-\mu_S}{\sigma_S} =\frac{120-90}{22.36}=\frac{30}{22.36}=1.34\\\\P(S>120)=P(z>1.34)=0.09012

The expected weeks can be calculated as the product of the number of weeks in the year (52) and this probability:

E=\#weeks*P(S>120)=52*0.09012=4.68

The nearest answer is C. 5 weeks.

6 0
3 years ago
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