Solve equation. 2x-5y=20

1 answer:

5 0

If you solve for x you get:
x=(5/2)y+10

If you solve for y you get:
y=(2/5)x−4

You might be interested in

Precalc.

viktelen [127]

Domain: x>0.

$(\log_2x)^2+7\log_2x+12=0$

Substitute $t=\log_2x\in\mathbb{R}$ . We have:

$t^2+7t+12=0\\\\a=1\qquad b=7\qquad c=12\\\\\\\Delta=b^2-4ac=7^2-4\cdot1\cdot12=49-48=1\\\\\sqrt{\Delta}=\sqrt{1}=1\\\\\\
t_1=\dfrac{-b-\sqrt{\Delta}}{2a}=\dfrac{-7-1}{2}=\dfrac{-8}{2}=-4\\\\\\
t_2=\dfrac{-b+\sqrt{\Delta}}{2a}=\dfrac{-7+1}{2}=\dfrac{-6}{2}=-3$

For t₁ there will be:

$\log_2x=t_1\\\\\log_2x=-4\\\\2^{-4}=x\\\\x=\dfrac{1}{2^4}\\\\\\x=\dfrac{1}{16}=0,0625\\\\\\\boxed{x\approx0,063}$

and for t₂:

$\log_2x=t_2\\\\\log_2x=-3\\\\2^{-3}=x\\\\x=\dfrac{1}{2^3}\\\\\\x=\dfrac{1}{8}\\\\\\\boxed{x=0,125}$

Answer d)

6 0

3 years ago

What is the average rate of change from x = −2 to x = 0?

astraxan [27]

The rate of change is +2 or 2 over 1 or 2/1

7 0

3 years ago

Information collected from runner 3# is in the table below

Shtirlitz [24]

Answer:

the constant of proportionality would be 9

5 0

2 years ago

In the system -12c+3d=6 and -3c +6d=-9, which expression could you use for substitution

inessss [21]

You can not use either of them because neither of them have a variable= to the eqaution
ex.) y= 3x+25

3 0

2 years ago

Two numbers multiply together to make 8, but add together to make - 6 What are the two numbers?

Greeley [361]

Answer:

-4 and -2

Step-by-step explanation:

First find all the factors of 8, that would be 1 and 8, -1 and -8, 2 and 4, and -2 and -4.

Then, adding the groups of numbers you have should show you what would equal -6. So 1 + 8 = 9, -1 + (-8) = -9, same vice versa, 2 + 4 = 6, -2 + (-4) = -6. So -2 and -4 would be your two numbers.

8 0

2 years ago