What is the inverse of the logarithmic function of f(x)=log2x

(2a+3b)^2 = 20 a.b=1 4a^2+9b^2=? PLS FAST ANSWER

IceJOKER [234]

Answer:8

Step-by-step explan:

(a.b)^2 equals a^2 + 2ab + b^2

3 0

3 years ago

12x + 3y = 9 solve for y

Vinvika [58]

Answer:

$\Longrightarrow: \boxed{\sf{y=3-4x}}$

Step-by-step explanation:

To solve for y, you have to isolate it on one side of the equation.

First, you have to subtract by 12x from both sides.

$\Longrightarrow:\sf{12x+3y-12x=9-12x}$

Solve.

$\Longrightarrow:\sf{3y=9-12x}$

Then, you divide by 3 from both sides.

$\Longrightarrow:\sf{\dfrac{3y}{3}=\dfrac{9}{3}-\dfrac{12x}{3}}$

Solve.

$\sf{\dfrac{9}{3}-\dfrac{12x}{3}}$

$\sf{\dfrac{9-12x}{3}}$

Use the distributive property.

$\underline{\text{DISTRIBUTIVE PROPERTY:}}$

9-12x=3(3-4x)

$\sf{\dfrac{3\left(3-4x\right)}{3}}$

Divide the numbers from left to right.

3/3=1

3-4x

Then, rewrite the problem down.

$\Longrightarrow: \boxed{\sf{y=3-4x}}$

Therefore, the correct answer is y=3-4x.

I hope this helps! Let me know if you have any questions.

4 0

3 years ago

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Based on only the information given in the diagram, which congruence postulates or theorems can be given as reasons why triangle

Lapatulllka [165]

Let's go through the choices.

A. HL, hypotenuse-leg. Yes we have a right triangle with congruent hypotenuse and leg which gives us congruent triangles, CHECK

B. HA, hypotenuse actute. Yes we have a right triangle witha congruent hypotenuse and acute angle, so congruent triangles, CHECK.

C. LL. leg leg. We don't know HL=PE so we can't use this theorem here. NO.

D. SAS, side angle side. For this one we first have to prove angle HEL is congruent to angle PME which is easily done with the Triangle Angle theorem (two congruent angles means three congruent angles) and then we can use SAS because then we have congruent sides and a congruent included angle. This one's a judgement call, I'll say NO because of the two steps.

E. AAS. Angle Angle Side, yes we have two congruent angles and a side. CHECK

F. ASA. Again we need an additional step before we conclude two angles and an included side are congruent. So again a judgement call, we'll go with NO.

7 0

3 years ago

Hello! I'm having a really hard time solving this by Elimination and could really use some help

Mamont248 [21]

Answer:

x= 3, y=0, z= 1

Step-by-step explanation:

Let's label the 3 given equations first.

2x +3y +4z= 10 -----(1)

3x +2y -4z= 5 -----(2)

x +4y +2z= 5 -----(3)

(1) +(2):

This is to eliminate the z term.

2x +3y +4z +3x +2y -4z= 10 +5

5x +5y= 15

Divide by 5 on both sides:

x +y= 3 -----(4)

(3) ×2:

2x +8y +4z= 10 -----(5)

(2) +(5):

This is to eliminate z term.

3x +2y -4z + 2x +8y +4z= 5 +10

5x +10y= 15

Divide by 5 throughout.

x +2y= 3 -----(6)

(6) -(4):

x +2y -(x +y)= 3 -3

x +2y -x -y= 0

y= 0

subst. y=0 into (4):

x +0= 3

x= 3

subst. x=3, y=0 into (3):

3 +4(0) +2z= 5

3 +2z= 5

2z= 5 -3

2z= 2

z= 2÷2

z= 1

6 0

3 years ago

Tyrone has a fish tank that measures 36in. long, 24in. high, and 18 in. wide. He wants to fill the fish tank to a height of 14 i

scZoUnD [109]

Answer:

Step-by-step explanation:

volume of water=l×w×h

l=length of tank=36 in

w=width of tank=18 in

h=height of water=14 in

volume=36×18×14

=9072 in³

4 0

3 years ago

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