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dsp73
3 years ago
14

If (x)=2x+10,then f^-1(x)

Mathematics
1 answer:
vovangra [49]3 years ago
8 0
If f(x) = 2x + 10, then x = 2(f^-1(x)) + 10
[swap f(x) for x and x for f^-1(x)]

Rearrange:
2(f^-1(x)) = x - 10
f^-1(x) = (x - 10)/2
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Factor trinomial x^2n+10x^n+16​
iragen [17]

Answer:

\large\boxed{x^{2n}+10x^n+16=(x^n+2)(x^n+8)}

Step-by-step explanation:

\text{Use}\ (a^n)^m=a^{nm}.\\\\x^{2n}+10x^n+16=(x^n)^2+10x^n+16=x^n\cdot x^n+2x^n+8x^n+16\\\\=x^n(x^n+2)+8(x^n+2)=(x^n+2)(x^n+8)

8 0
3 years ago
According to a student survey, 16 students liked history, 19 liked English, 18 liked math, 8 liked math and English, 5 liked his
Bogdan [553]
When building a Venn Diagram, I always start from the area with the most overlap to the areas of least overlap. Once you have placed the 3 in the middle, you have counted those people, and therefore you must subtract them from the other surveys. Example: since there are 3 people that like all three subjects, now only have 5 students that like just math and English instead of 8. 

Therefore:
A) 36 Students were in the survey
*Add all the numbers within the Venn diagram up. Overlapping doesn't matter because no one is double counted. 

B) 6 People liked only Math
*Can't touch any other circle but Math

C) 20 Students liked English and math, but not history
*You add 9+5+6, since these bubbles are not overlapping with history. 

I Hope this helps and let me know if you have any further questions!

4 0
4 years ago
Maya has 120 caramel apples to sell. each caramel apple is covered with one topping
oksano4ka [1.4K]

Answer:

1/5 * 120 = 24 peanut

1/3 * 120 = 40 chocolate chips

3/10 * 120 = 36 coconut

There are 20 left

Unless there are other toppings not mentioned,

those last 20 must have sprinkles

4 0
3 years ago
I'll mark as brainliest if it lets me;-;<br>please answer B. &amp; C. with solution:)​
san4es73 [151]

Answer:

B. AC = 22, BC = 22, AB = 44

C. AC = 30, BC = 30, AB = 60

Step-by-step explanation:

B.

radius \: \overline {OR} \perp chord \: \overline {AB} at C. (given)

\therefore AC = BC (perpendicular dropped from the center of the circle to the chord bisects the chord)

\therefore 2x - 6 = x + 8

\therefore 2x - x= 6 + 8

\therefore x= 14

AC = 2x-6=2(14)-6=28-6= 22

BC= x + 8=14 + 8= 22

AB = AC + BC = 22 + 22 = 44

C.

radius \: \overline {OR} \perp chord \: \overline {AB} at C. (given)

\therefore BC = AC (perpendicular dropped from the center of the circle to the chord bisects the chord)

\therefore 7x-5=4x+10

\therefore 7x - 4x= 5 + 10

\therefore 3x= 15

\therefore x= \frac{15}{3}

\therefore x= 5

AC = 4x+10=4(5)+10=20+10= 30

BC= 7x - 5=7(5)-5=35-5= 30

AB = AC + BC = 30 + 30 = 60

7 0
3 years ago
A pizza place offers 4 different cheeses and 10 different toppings. In how many ways can a pizza be made with 1 cheese and 4 top
mylen [45]

Answer:

Step-by-step explanation:

Assuming the toppings don't have to be the same

4*10*10*10*10=4000

If the toppings have to be different:

4*10*9*8*7=20160

8 0
3 years ago
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