What is the value of x?
Enter your answer in the box.
X=
Please Need Help! Which of the following is true for the relation f(x) = 5x + 1?
A- Both the equation and its inverse are functions.
B- Only the inverse is a function.
C- Only the equation is a function.
D- Neither the equation nor its inverse is a function.
After t years, the amount of money in a savings account that earns simple interest is p + prt, where p is the starting amount and r is the yearly interest rate. factor this expression.
Final answer:
The equation of simple interest p + prt can be factored by taking out the common factor p, resulting in a factored expression of p(1 + rt).
Explanation:
The equation p + prt represents the total amount of money in a savings account after t years when interest is earned at a simple interest rate of r on the principal amount p. To factor this expression, we look for the greatest common factor present in each term. Here, the common factor is the principal amount p.
Therefore, the factored form of the expression is p(1 + rt). This shows that the total amount is composed of the initial principal plus the product of the principal, the rate, and the time.
This differs from compound interest, where the interest earned is added to the principal at each compounding period, leading to interest on interest. Simple interest calculations are straightforward and don't involve this compounding effect, making it simpler to calculate future values manually or using online calculators.
Point ___is the vertex of the angle marked in the figure.
Answer:
The vertex is the point E
Step-by-step explanation:
we know that
The angle marked in the figure is the angle [tex]<CEB[/tex]
therefore
The vertex is the point E
Answer:
Yes the person is right I got it right on the test
Step-by-step explanation:
Can Anyone Help Me
You need to sell 250 candy bars at $2 each. If you meet your goal, the total amount of money you will have is measured in the _____.
A. hundreds
B. tens
C. ones
D. thousands
The perimeter of a rectangle is 102 cm. if the length is 28 cm, how wide is the rectangle?
Can someone tell me what these angles are
If it is 11:15
a.m. at teens high school, then a bell will ring. which of these is true?
a. if a bell is not ringing, then it must not be 11:15.
b. if a bell is ringing, then it is 11:15.
c. if it is not 11:15, then a bell will not ring.
d. if a bell is ringing, then it is not 11:15.
e. if a bell is not ringing, then it is 11:15.
solve for y 3x - 5y = 8
Final answer:
To solve for y in the equation 3x - 5y = 8, we subtract 3x from both sides and then divide by -5, resulting in y = (3/5)x - 8/5.
Explanation:
Solving for y in the equation 3x - 5y = 8
To solve for y in the equation 3x - 5y = 8, we need to isolate y on one side of the equation. Here are the steps:
Start with the original equation: 3x - 5y = 8.
Subtract 3x from both sides of the equation to get -5y = -3x + 8.
Divide each term by -5 to solve for y: y = (3/5)x - 8/5.
So the solution for y in terms of x is y = (3/5)x - 8/5.
−cz+6z=tz+83 solve for z
Answer:
z = 83 / (-c - t + 6)
Step-by-step explanation:
Correct answer on Khan Academy
Which line is parallel to the line given below?
Y=_4/3x+1
A.3x+4y=8
B.3x-4y=-28
C.4x+3y=-15
D.4x-3y=9
how many lead cubes of side 3cm could be made from a lead of side 27cm
PLEASE HELP!!!!!!
What is the value of t?
t-12/2=3t/2 - 3
A)-3
B)-1
C)1
D)3
Answer:
D i aready took the test
Step-by-step explanation:
Sean, a freelance editor, charges the rates shown in the table below to edit manuscripts. The cost per page increases as the quality of editing improves. Sean also gives a 5% discount if the entire amount is paid up front.
A 2 column table with Type of Editing and Cost per page as the column headings. Express Proofreading costs 2 dollars, Basic Pro
Michelle has an 85-page manuscript. The equation below shows the relationship between the total cost of editing 85 pages, T, and the cost per page, c, if she gets the 5% discount:
85c − 0.05(85c) = T
Using the equation, what is the best quality of editing that Michelle can get done for a maximum of $161.50?
a.Express proofreading
b.Basic proofreading
c.Extended proofreading
d. Deep editing
Answer:
option (a) Express proof reading
Step-by-step explanation:
Michelle has an 85-page manuscript. To calculate the total cost of printing equation will be
85c - 0.05( 85c ) = T
where c = cost per page and T = total cost on editing 85 pages.
If total cost of editing is $161.50, then we have to find the best quality of editing Michelle can get.
85(c) - (0.05)(85c) = 161.50
85c - 4.25c = 161.50
80.75c = 161.50
⇒ c = $ 2 per page
As it has been given in the question that express proof reading costs $2.00 per page, so the best quality of editing Michelle can get is option (a) Express proof reading
Part A: Sam rented a boat at $225 for 2 days. If he rents the same boat for 5 days, he has to pay a total rent of $480.
Write an equation in the standard form to represent the total rent (y) that Sam has to pay for renting the boat for x days. (4 points)
Part B: Write the equation obtained in Part A using function notation.(2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
for the equation 7x+3y-5=0, find the missing coordinate or the ordered pair so that it is a solution (?,4)
Two airplanes left the same airport and arrived at the same destination at the same time. The first airplane left at 8:00 a.m. and traveled at an average rate of 496 miles per hour. The second airplane left at 8:30 a.m. and traveled at an average rate of 558 miles per hour. Let x represent the number of hours that the first plane traveled.
How many hours did it take the first plane to travel to the destination?
Enter an equation that can be used to solve this problem in the first box.
Solve for x and enter the number of hours in the second box.
Equation:
x =
h
The formula for distance is equal to:
d = v * t
where d is distance, v is velocity or speed, and t is time
Since the distance travelled by the two airplane is similar, therefore we can create the initial equation:
v1 * t1 = v2 * t2
We know that v1 = 496, and v2 = 558 so:
496 t1 = 558 t2
or
x = 558 t2 / 496
We also know that airplane 1 travelled 30 minutes (0.5 hours) earlier than airplane 2, therefore:
x = t2 + 0.5
Hence,
496 (t2 + 0.5) = 558 t2
496 t2 + 248 = 558 t2
t2 = 4 hours
x = t2 + 0.5 = 4 + 0.5
x = 4.5 hours
So the equation is:
x = 558 t2 / 496
And the first plane travelled:
x = 4.5 hours
Write a compound inequality to represent all of the numbers between -4 and 6.
Answer: -4<x<6 would be the compound inequality
Step-by-step explanation:
Will the solution to the following equation be positive or negative? b ÷ -2 = 5
positive
negative
The midpoint of UV is (5, -10). The coordinates of one endpoint are U(3,6). Find the coordinates of endpoint V.
How do I use the midpoint formula for this?
Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros 2+i, 2
Final answer:
To find a polynomial with given zeros 2+i and 2, include the conjugate 2-i to ensure rational coefficients, resulting in the polynomial x^2 - 4x + 3.
Explanation:
Finding a Polynomial with Given Zeros
To find a polynomial function of the lowest degree with rational coefficients that has 2+i and 2 as some of its zeros, you should remember that complex zeros in polynomials with real coefficients come in conjugate pairs. This means that if 2+i is a zero, so is its conjugate 2-i. You now have three zeros: 2, 2+i, and 2-i.
The polynomial with these zeros can be written as (x-2)(x-(2+i))(x-(2-i)). To find the polynomial, we simply multiply these factors:
(x-2)(x-2+i)(x-2)(x-2) - i(x-2)Now add the resulting quadratics:
(x-2)2 - i2This results in:
x2 - 4x + 4 - 1Which simplifies to x2 - 4x + 3. Thus, the required polynomial function of the lowest degree is x2 - 4x + 3.
Evaluate 8 + W/4 when W = 16.
The evaluation of the algebraic expression 8 + w/4 when w = 16 is 12
How to evaluate algebraic expressionGiven:
8 + w/4
when,
w = 16
substitute w = 16 into the expression8 + 16/4
= 8 + 4
= 12
Therefore, evaluation of the algebraic expression 8 + w/4 when w = 16 is 12
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how do you divide polynomials using long division
Final answer:
The process of dividing polynomials using long division involves dividing the leading terms, multiplying and subtracting to find the remainder, and repeating the process until completion. This method ensures proper management of exponents through subtraction while dividing coefficients.
Explanation:
Dividing Polynomials Using Long Division
To divide polynomials using long division, you should follow these steps:
Write the dividend (the polynomial to be divided) and the divisor (the polynomial by which to divide) in a long division format.Divide the leading term of the dividend by the leading term of the divisor to get the first term of the quotient. Multiply the divisor by this first term of the quotient and write the result beneath the dividend.Subtract this result from the dividend to get a remainder. Bring down the next term of the dividend if necessary.Repeat steps 2 to 4 until there are no more terms to bring down in the dividend.The result is the quotient, with a possible remainder. If there is a remainder, it can be written as the remainder over the divisor.Remember that when you divide the exponents in division of exponentials, you should subtract the exponents while dividing the coefficients normally.
By applying these steps, we achieve a quotient and remainder that satisfy the equation: Dividend = (Divisor × Quotient) + Remainder. This technique is especially useful for division of exponentials where you maintain equality by dividing both sides of an equation and properly manage exponents.
Write an equation of the line, in point-slope form, that passes through points (3,-10) and (-5,-2)
Equation of the line, in point-slope form, that passes through points (3,-10) and (-5,-2) is y + 10 = -(x - 3).
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and equation of a line in slope-intercept form is y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given it has points (3,-10) and (-5,-2) and we know slope(m)
= (y₂ - y₁)/(x₂ - x₁).
= (-2 + 10)/(-5 - 3).
= 8/-8.
= -1.
Equation of a line in point-slope form is (y - y₁) = m(x - x₁).
y - (-10) = -1(x - 3).
y + 10 = -(x - 3).
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What is the average rate of change of f(x) = −2x + 1 from x = −5 to x = 1?
Each morning Papa notes the birds feeding on his bird feeder. So far this month, he has seen 59 blue jays, 68 black crows, 12 red robins, and 1 cardinal. If 300 birds visit Papa'S bird feeder, how many blue jays can he expect to see?
Dylan's hiking club is planning to stay overnight at a camping Lodge. Each large room can hold 15 hikers. There are 154 hikers. How many rooms will they have?
Mark all statements that are true
A: this graph is not a function because the value x=3 is assigned to more than one y-value.
B: this graph is a function because the value of x is the same for every value of y
C: the equation of this line is x=3
D: this graph is a function whose domain is the set ( 3 )
the high temperature on friday was 8 degrees above zero
What is the value of x?
Enter your answer in the box
13 is top 12 is bottem and the left is X