1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kotykmax [81]
3 years ago
15

Plz help me i need it

Mathematics
1 answer:
zavuch27 [327]3 years ago
5 0

Answer:   \bold{b)\quad y=\dfrac{log_4-9}{2}}

<u>Step-by-step explanation:</u>

Inverse is when you swap the x's and y's and solve for y.

y=4^{2x+9}\\\\\text{Swap the x's and y's:}\\x=4^{2y+9}\\\\\text{Apply }log_4\text{ to both sides:}\\log_4x=log_44^{2y+9}\\\\log_44\text{ cancels out:}\\log_4x=2y+9\\\\\text{Subtract 9 from both sides:}\\log_4x-9=2y\\\\\text{Divide both sides by 2:}\\\dfrac{log_4x-9}{2}=y

You might be interested in
The 12 boys in the class make up 15% of the class. What is the total number of students in the class?
alina1380 [7]

Answer:

80 students

Step-by-step explanation:

12/80 is 0.15 or 15%

5 0
2 years ago
A family has 2 cars. the first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of 2
lora16 [44]

Car 1: 15x

Car 2: 20y

15x+20y=1300

x+y=75

So y=75-x

15x+20(75-x)=1300

-5x+1500=1300

-5x=-200

x=40.

y=75-40

y=35

Car 1: 40 gallons

Car 2: 35 gallons


8 0
3 years ago
What is 6 1/4 x 3 3/5
aliya0001 [1]

Answer:

Step-by-step explanation:

Change mixed fraction to improper fraction. Then reduce to lowest term if possible.

6 1/4 x 3 3/5 = 25/4 * 18/5    = 25* 18 /4*5

                    = 5 * 18 / 4    {giving by 5th table}

                    = 5* 9 /2        { giving by 2nd tables}

                   = 45/2  

8 0
3 years ago
Find m∠STU and m∠TUA
PIT_PIT [208]

Answers:

  • angle STU = 65 degrees
  • angle TUA = 123 degrees

=========================================================

Explanation:

Let's find the expression for angle TUS in terms of x

Angle TUA has the expression 11x+2. It will add to angle TUS to get 180 degrees

(angle TUS) + (angle TUA) = 180

angle TUS = 180 - (angle TUA)

angle TUS = 180 - (11x + 2)

angle TUS = 180 - 11x - 2

angle TUS = -11x + 178

Now focus on the interior angles of triangle TUS. We have these three angles

  • T = 5x+10
  • U = -11x+178
  • S = 58

For any triangle, the interior angles always add to 180, so,

T+U+S = 180

(5x+10) + (-11x+178) + (58) = 180

(5x-11x) + (10+178+58) = 180

-6x + 246 = 180

-6x = 180-246

-6x = -66

x = -66/(-6)

x = 11

Use this x value to find the angle measures we're after:

  • angle STU = 5x+10 = 5*11+10 = 55+10 = 65 degrees
  • angle TUA = 11x+2 = 11*11+2 = 121+2 = 123 degrees

--------------------------

As an alternative route, you can apply the remote interior angle theorem. This says that adding two interior angles leads to the exterior angle that isn't adjacent to either one.

In this case, we would say

(angle STU) + (angle TSU) = angle TUA

that leads to the equation

(5x+10) + (58) = 11x+2

Solving this should lead to x = 11 to generate the angles mentioned earlier.

6 0
3 years ago
A rental company charges a flat fee of $200 plus $50 per day. Create a linear function to represent where f(x) is the total cost
VARVARA [1.3K]
Y=50x+200

Hope that helps!
7 0
3 years ago
Other questions:
  • A government agency has specialists who analyze the frequencies of letters of the alphabet in an attempt to decipher intercepted
    15·1 answer
  • Express the diameter of a circle as a function of its radius
    7·1 answer
  • What is the area of a square if one side is 40 inches long? Answer next to this =&gt; in²
    14·1 answer
  • Simplify the ratio of 37:14
    13·2 answers
  • Sam borrowed $4,500 for 2 years and had to pay $630 simple interest at the end of
    13·1 answer
  • Lee sells electronics. He earns a 5% commission on each sale he makes. If lee sells the PS5 for 500, how much does lee make in c
    9·1 answer
  • PLEASE HELP NOWWWWWWWWWWW
    15·2 answers
  • HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
    7·1 answer
  • HELP ASAP NEED THE ANSWER LIKE RIGHT NOW 100 POINTS AND WILL GIVE BRAINLIEST
    8·2 answers
  • A computer repair shop charges a flat rate of $50 plus $35 per hour spent repairing each computer. Let H be the number of hours
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!