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
zhannawk [14.2K]
2 years ago
11

John's checkbook had a balance of $432.05 on June 10th On June 12th he wrote a check

Mathematics
1 answer:
Anna71 [15]2 years ago
6 0

Answer:

John's currenct account balance after the deposit is $357.43.

Step-by-step explanation:

Current balance: $432.05

-$123.87

Current balance: $308.18

-$250.75

Current balance: $57.43

+$300.00

Current balance: $357.43

You might be interested in
Explain how to solve 5^(x-2)=8 using log base b of y equals log y over log b. include the solution for x in your answer. round y
miskamm [114]

The value of x will be equal to 2.477.

<h3>What is a logarithm?</h3>

The logarithm is the inverse function of exponentiation in mathematics. That is, the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised in order to obtain that number x.

The given expression will be solved as follows;-

5^{x-2}= 8

Taking Log on both sides.

Log_e 5^{x-2}=Log_e8

(x-2) Log5 = Log 8

( x-2) = Log8 / Log 5

(x - 2) = Log 8 - Log 5

(x - 2 ) = Log 3

x-2 = 0.477

x  =  2.477

Therefore the value of x will be equal to 2.477.

To know more about Logarithm follow

brainly.com/question/25710806

#SPJ1

5 0
1 year ago
Which statements are true about the graph of the function f(x) = x2 – 8x + 5? Check all that apply.
statuscvo [17]

Answer:

A, D, E are true

Step-by-step explanation:

You have to complete the square to prove A.  Do this by first setting the function equal to 0, then moving the 5 to the other side.

x^2-8x=-5

Now we can complete the square.  Take half the linear term, square it, and add it to both sides.  Our linear term is 8 (from the -8x).  Half of 8 is 4, and 4 squared is 16.  So we add 16 to both sides.

(x^2-8x+16)=-5+16

We will do the addition on the right, no big deal.  On the left, however, what we have done in the process of completing the square is to create a perfect square binomial, which gives us the h coordinate of the vertex.  We will rewrite with that perfect square on the left and the addition done on the right,

(x-4)^2=11

Now we will move the 11 back over, which gives us the k coordinate of the vertex.

(x-4)^2-11=y

From this you can see that A is correct.

Also we can see that the vertex of this parabola is (4, -11), which is why B is NOT correct.

The axis of symmetry is also found in the h value.  This is, by definition, a positive x-squared parabola (opens upwards), so its axis of symmetry will be an "x = " equation.  In the case of this type of parabola, that "x = " will always be equal to the h value.  So the axis of symmetry is

x = 4, which is why C is NOT correct, either.

We can find the y-intercept of the function by going back to the standard form of the parabola (NOT the vertex form we found by completing the square) and sub in a 0 for x.  When we do that, and then solve for y, we find that when x = 0, y = 5.  So the y-intercept is (0, 5).

From this you can see that D is also correct.

To determine if the parabola has real solutions (meaning it will go through the x-axis twice), you can plug it into the quadratic formula to find these values of x.  I just plugged the formula into my graphing calculator and graphed it to see that it did, indeed, go through the x-axis twice.  Just so you know, the values of x where the function go through are (.6833752, 0) and (7.3166248, 0).  That's why you need the quadratic formula to find these values.

7 0
3 years ago
Question 1 of 40<br> If f(x) = 4x² - 6 and g(x) = x² - 4x-8, find (f- g)(x).
Aleksandr-060686 [28]

Answer:

\huge\boxed{\sf (f-g)(x) = 3x\² + 4x - 14}

Step-by-step explanation:

<h3><u>Given functions:</u></h3>
  • f(x) = 4x² - 6
  • g(x) = x² - 4x - 8
<h3><u>Solution:</u></h3>

Subtract both functions

(f-g)(x) = 4x² - 6 - (x² - 4x - 8)

(f-g)(x) = 4x² - 6 - x² + 4x - 8

Combine like terms

(f-g)(x) = 4x² - x² + 4x - 6 - 8

(f-g)(x) = 3x² + 4x - 14

\rule[225]{225}{2}

3 0
2 years ago
Read 2 more answers
Manny Brought a brand new car in 2012 for $28750. if the car depreciates by 12% each year, write n exponential function to model
alexira [117]
The formula for exponential decay is 
y=a(1-r)^{x}

where  a is the initial value (28750)
r is the rate of decrease (0.12)
x is the time, in this case in years (6 .  2018-2012 = 6 years)

y=28750(1-0.12)^{6}

<span>y </span>≈ <span>13351.62</span>
8 0
3 years ago
2) The table shows a set of points on a line. What is the y-intercept of the<br> line?
siniylev [52]

Answer:

Put this table into Desmos and then wherever the line crosses the y-axis, is your y-intercept.

3 0
3 years ago
Other questions:
  • PLEASE I NEED HELP ASAP! Determine if 9x2 - 42x + 49 can be the area of a square. If so, what would the value of x have to be if
    10·1 answer
  • Write a rule for a transformation
    5·1 answer
  • A rectangular sheep pen measures 5 meters long and 9 meters wide. The perimeter of the cow pen is double the perimeter of the sh
    7·1 answer
  • Me Kaplan is ordering 30 flash drives for the students in his class. If each one costs $11.95 how much will he pay
    14·1 answer
  • a botanist was measuring how tall her plant grew. after two weeks it had grown 9.62 inches. the second week alone it had grown 3
    15·1 answer
  • A driveway measures 2 miles. What does the driveway measure in feet?
    13·1 answer
  • Which of the following represents graph of f(x) = (1/2)^x
    6·2 answers
  • The box plots below show student grades on the most recent exam compared to overall grades in the class:
    9·2 answers
  • Please help and show work ​
    14·1 answer
  • If 4 children drink 24 ounces of milk everyday then how much do they drink in a week? (if this shows up twice sorry i didn't kno
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!