4 years ago

What is the inverse of the equation y=3/2x

Mathematics

1 answer:

ra1l [238]4 years ago

5 0

Your answer would be f^-1 (x)= 2x/3

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For what values of a is the distance between P(a,3) and Q(5,2a) greater than √26

Novay_Z [31]

$P(a,3)\ \ \ Q(5,2a)\\\\ PQ=\sqrt{(x_Q-x_P)^2+(y_Q-y_P)^2}\\\\ PQ>\sqrt{26}\\\\\sqrt{(5-a)^2+(2a-3)^2}>\sqrt{26}\\\\\sqrt{25-10a+a^2+4a^2-12a+9}>\sqrt{26}\\\\\sqrt{5a^2-22a+34}>\sqrt{26}\ \ |^{2}\\\\
5a^2-22a+34=26\ \ \ |Subtract\ 26\\\\
5a^2-22a+8=0\ \ \ |Factoring\\\\(a-4)(5a-2)=0\\\\
a=4\ \ or\ \ 5a=2\\
a=4\ \ or\ \ a=\frac{2}{5}$

6 0

4 years ago

8x+5=29;3 <br> can someone pls explain :)

lesya [120]

Answer:

Step-by-step explanation:

8x+5=29, x=3

subtract 5 on each side

8x=24

then divide by 8 on both sides to isolate x

x=3

8 0

3 years ago

Read 2 more answers

kojo wants to be an author. To improve his writing skills, every day after school he writes 3 pages of a story he is working on.

Aleksandr-060686 [28]

Answer:

(a) 3d=81

(b) 27

Step-by-step explanation:

every day, kojo write 3 pages

number of days he has written his story= d days

therefore number of pages he has written= 3d

from the final sentence,

3d= 81

<h3>(a) the equation to describe the situation: </h3><h3>3d= 81</h3>

(b) number of days kojo has been writing his story

3d= 81

dividing through by d

3d/3= 81/3

d = 27

<h3>therefore number of days = 27</h3>

4 0

2 years ago

Temperature in degrees Fahrenheit is equal to 32 more than 9/5 times the temperature in degrees Celsius.One day the high tempera

steposvetlana [31]

95 = 9/5C + 32

63 = 9/5C

9C = 315

C = 35

7 0

3 years ago

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I will mark brainliest if correct!

jasenka [17]

Step-by-step explanation:

i) x (x+2)(3x)

ii) 3x^3+6x^2

iii) (x^2+2x) +(3x^2+6x) +(3x^2)

iv)7x^2+8x

7 0

3 years ago