Answer:
One
Step-by-step explanation:
The equation 9x+7=8x+7 has only one solution. This can be seen by setting the two sides of the equation equal to each other and then solving for x.
First, we set the two sides equal to each other by canceling out the 7 on the right side of the equation:
9x+7 = 8x+7
Then, we move all of the terms that have an x on the same side of the equation, and all of the constant terms on the other side:
9x - 8x = 7 - 7
Next, we combine like terms on the left side of the equation:
x = 0
Finally, we solve for x to find the value of x that makes the equation true:
x = 0
Therefore, the only solution to the equation 9x+7=8x+7 is x=0.
Find the vertical asymptotes, if any, of the graph of the rational function.
The function is a rational function.
Let's see the graph of it, below:
We can easily see the vertical asymptotes, but we will algebraically find them.
Vertical Asymptote is a VERTICAL line that a curve doesn't not touch/cross bt comes very close to it.
To find the vertical asymptote of a rational function, we set the denominator equals zero and find the corresponding values of x.
Thus,
\(\begin{gathered} x(x+5)=0 \\ So, \\ x=0, \\ or \\ x+5=0,x=-5 \end{gathered}\)So, there are 2 vertical asymptotes,
x = 0
x = -5
the graph shown above confirms this fact
37 1/2 is what percent of 5
Answer:
750%
Step-by-step explanation:
We know that 100% of 5 is 5,
200% of 5 is 10,
300% of 5 is 15,
400% of 5 is 20,
500% of 5 is 25,
600% of 5 is 30,
700% of 5 is 35,
800% of 5 is 40.
So 37 1/2 percent of 5 must be between 700 and 800 percent of 5. We also know that 2.5 is 50% of 5, and 35 + 2.5 = 37.5. So 37 1/2 is 750% of 5
:
a.
Which of the following statements best describes the difference between sales tax and property tax?
Sales tax is applied to items as they are purchased while property tax is applied to items
already owned
b. Sales tax is applied repeatedly while property tax is paid only once for as long as you own the
item.
Sales tax can be applied to a new speed boat while property tax cannot.
d. Sales tax is strictly meant for food and consumables while property tax is meant for non-food
items
C
Answer:
Sales tax is applied to item as they are purchased while property tax is applied to items already owned
Step-by-step explanation:
Sales tax is applied to items as they are purchased while property tax is applied to items already owned. Therefore, option A is the correct answer.
What is the sales tax?Calculating the sales tax applied to a purchase is a matter of simply multiplying the tax rate by the purchase price using the equation sales tax = purchase price × sales tax rate. Adding the sales tax to the original purchase price gives the total price paid with tax.
Property tax is a charge made on real estate that is owned by a person, a business, or another type of legal body. Property tax is most frequently a real estate ad-valorem tax, which is regarded as a regressive tax. It is computed by the local government in the area where the property is situated, and the owner is responsible for paying it.
Sales tax is applied to items as they are purchased while property tax is applied to items already owned. Therefore, option A is the correct answer.
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Using the computer output, what is the correlation
coefficient?
The scatterplot displays the number of pretzels
students could grab with their dominant hand and their
handspan, measured in centimeters. An analysis was
completed and the computer output is shown.
0.521
O 0.547
O 0.722
O 0.740
Grabbing Pretzels
28
24
20
Number of Pretzels
:
16
.
12
.
8
17 18 19 20 21 22 23 24 25 26
Answer:
B = 0.547
Step-by-step explanation:
edge showed me how
Answer:
ITs 0.722 thats about the percentage of the time the dots line up
Step-by-step explanation:
I got it right on the quiz
A B C Total
Male 5 15 20 40
Female 2 14 16 32
Total 7 29 36 72
If one student is chosen at random from those who took the test,
Find the probability that the student was female GIVEN they got a 'B'.
Round answer 4 places after the decimal if needed.
The probability that the student was female GIVEN they got a 'B' is 0.194.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
A B C Total
Male 5 15 20 40
Female 2 14 16 32
Total 7 29 36 72
We have to find the probability that the student was female GIVEN they got a 'B'
P(Female ∩ B) = 14/72 = 0.1944
Hence, the probability that the student was female GIVEN they got a 'B' is 0.194.
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mariana and her children went into a movie theater that sells bags of popcorn for $6 each and candies for $4 each. mariana has $80 to spend and must buy at least 16 bags of popcorn and candies altogether. if a represents the number of bags of popcorn purchased and y represents the number of candies purchased, write and solve a system of inequalities graphically and determine one possible solution.
One possible solution from the graph(attached at the end of the solution) is selling 9 bags of popcorn and 5 bags of candies.
As per the given data:
The number of popcorn bags is x
The number of candies is y
The cost of each popcorn bag is $7
The cost of each candy is $4
She has $80 to spend on them
Inequality is the nonequal comparison of two or more variables and numbers.
So the first inequality is
7 x + 4 y ≤ 80
Since she must buy no less than 16 bags of popcorn and candies
The second inequality is
x + y ≥ 16
The red area represents the 1st inequality
The blue area represents the 2nd inequality
The solutions lie in the common part of red and blue colors
One possible solution is ordered pair (9,5)
(Graph attached at the end of solution)
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Rewrite 3/2 : 1/4
as a unit rate.
Answer:
6
Step-by-step explanation:
That would be:
3 6
---- -------
2 4
---------------- = -------------- = 6 This is the unit rate.
1 1
----- ------
4 4
Answer:
6
Step-by-step explanation:
A line passes through (-5,23) and (-1,3). What is an equation of the line?
Answer:
y = -5x - 2
Step-by-step explanation:
Slope m = (y2-y1)/(x2-x1)
given (-5,23) and (-1,3)
m = (3 - 23)/(-1 - -5)
m = -20/4 = -5
then Slope-intercept: y = mx + b
y = -5x + b
using (-1,3)
then 3 = -5(-1) + b
3 = 5 + b
b = -2
then y = -5x - 2
HELP IT'S A UNIT TEST!!!!What is the value of x in this triangle?
Enter your answer in the box.
x =
Answer:
Step-by-step explanation
x=9 thanks and good luck on your test
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the expressions to their limit values.
Answer:
see photo
Step-by-step explanation:
took the test
lying Addition and Subtraction of Integers
A bus makes a stop at 2:30, letting off 15 people and letting on 9. The
bus makes another stop ten minutes later to let off 4 more people.
How many more or fewer people are on the bus after the second stop
compared to the number of people on the bus before the 2:30 stop?
After the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.
Before the 2:30 stop, the bus let off 15 people and let on 9 people. The total change in the number of people at that stop is -15 (let off) + 9 (let on) = -6.
Therefore, there are 6 fewer people on the bus after the 2:30 stop compared to before that stop.
Ten minutes later, the bus makes another stop and lets off 4 more people. This additional change needs to be considered.
Since the previous calculation only accounted for the changes up until the 2:30 stop, we need to adjust the total change by including the subsequent stop.
Adding the change of -4 (let off) to the previous total change of -6, we get a new total change of -10.
Therefore, after the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.
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Please help and only answer if correct!
Answer: So last time it was 1/4 and 4 so it's no different it just going down by one so it's 1/3 and 3 if it's not I give up.
Step-by-step explanation:
Write the expanded, stanadard form, and expanded form for 10 to the second power multiplied by 10 to the third power
Answer:
100,000
Step-by-step explanation:
\( {10}^{2} \times {10}^{3} = 100000\)
Triangle ABC has vertices at A(−3, 3), B(0, 7), and C(−3, 0). Determine the coordinates of the vertices for the image if the preimage is translated 3 units up.
A′(−3, 0), B′(0, 4), C′(−3, −3)
A′(−3, 6), B′(0, 10), C′(−3, 3)
A′(−6, 3), B′(−3, 7), C′(0, 0)
A′(0, 3), B′(3, 5), C′(0, 0)
The coordinates of the vertices for the image is A′(−3, 6), B′(0, 10), C′(−3, 3).
The vertices of the preimage triangle ABC are given as A(-3,3), B(0,7), and C(-3,0). To translate the preimage 3 units up, we need to add 3 to the y-coordinate of each vertex. Therefore, the vertices of the image triangle A'B'C' will be A'(-3,6), B'(0,10), and C'(-3,3). Thus, option B, A′(−3, 6), B′(0, 10), C′(−3, 3), is the correct answer.
To check the answer, we can plot the points on a coordinate plane and observe that the image triangle is obtained by moving the preimage triangle 3 units up. Translation is a type of transformation in which the position of a figure is changed without changing its shape or orientation.
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Thank you all for helping me with every thing! I also need help with this one :)
Answer:
1.5/6
2.1/6
Step-by-step explanation:
Answer:
\(\frac{5}{6}\) and \(\frac{1}{6}\)
Step-by-step explanation:
An interior designer is redecorating a room that is 26 feet long by 18 feet wide by 9 feet high. At one end of the room is a door that is 6 feet 6 inches high and 4 feet wide. One of the walls contains 2 windows, each of which is 2 feet wide by 2 feet 6 inches high.
A: How much will it cost to carpet the floor if the carpet sells for $18.00 a square yard? $
B: How much will it cost to wallpaper all four walls if wallpaper costs $0.75 per square foot? $
C: How much will it cost to paint the ceiling using paint that sells for $25 per gallon if a quart of paint will cover 88 square feet? $
D: What will be the cost of the entire project? $
Answer: A: It will cost $936.00 to carpet the floor.
B: It will cost $297.00 to wallpaper all four walls.
C: It will cost $33.25 to paint the ceiling.
D: The cost of the entire project will be $1266.25.
Step-by-step explanation:
To calculate the costs for carpeting, wallpapering, painting, and the overall cost of the project, we need to determine the areas that need to be covered and the corresponding prices for each material.
Given dimensions:
Room length: 26 feet
Room width: 18 feet
Room height: 9 feet
Door dimensions:
Height: 6 feet 6 inches
Width: 4 feet
Window dimensions (each):
Width: 2 feet
Height: 2 feet 6 inches
A: Carpeting the floor:
To find the area of the floor, we multiply the length and width of the room:
Floor area = Length × Width = 26 feet × 18 feet = 468 square feet.
To convert to square yards (since the carpet is sold per square yard), we divide by 9:
Floor area in square yards = 468 square feet / 9 = 52 square yards.
Cost to carpet the floor = Floor area in square yards × Cost per square yard = 52 square yards × $18.00 = $936.00.
B: Wallpapering the walls:
To find the area of the walls, we calculate the perimeter of the room (2 × (Length + Width)) and multiply it by the height of the room:
Wall area = Perimeter × Height = 2 × (26 feet + 18 feet) × 9 feet = 396 square feet.
Cost to wallpaper the walls = Wall area × Cost per square foot = 396 square feet × $0.75 = $297.00.
C: Painting the ceiling:
To find the area of the ceiling, we multiply the length and width of the room:
Ceiling area = Length × Width = 26 feet × 18 feet = 468 square feet.
Since a quart of paint covers 88 square feet, we need to determine the number of quarts required:
Number of quarts = Ceiling area / Coverage per quart = 468 square feet / 88 square feet = 5.32 quarts.
Since a gallon contains 4 quarts, the number of gallons required is 5.32 quarts / 4 quarts = 1.33 gallons.
Cost to paint the ceiling = Number of gallons × Cost per gallon = 1.33 gallons × $25.00 = $33.25.
D: Cost of the entire project:
Total cost = Cost to carpet the floor + Cost to wallpaper the walls + Cost to paint the ceiling
= $936.00 + $297.00 + $33.25 = $1266.25.
Therefore:
A: It will cost $936.00 to carpet the floor.
B: It will cost $297.00 to wallpaper all four walls.
C: It will cost $33.25 to paint the ceiling.
D: The cost of the entire project will be $1266.25.
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1.solve for x 3x - 2 = 3 - 4x
Answer:
\(x=\frac{5}{7}\)
Step-by-step explanation:
\(3x - 2 = 3 - 4x\)
Add \(2\) and \(4x\) on both sides of the equation.
\(3x - 2 +2+4x= 3 - 4x+2+4x\)
\(3x+4x=-4x+5+4x\)
\(7x=5\)
Divide \(7\) on both sides of the equation.
\(\frac{7x}{7}=\frac{5}{7}\)
\(x=\frac{5}{7}\)
Find the logarithm of this
The logarithm of the expression \(5^{(-3log_{5} 2 )} * 2^{(log_{2}3)}\) is log(3/8).
What is logarithm?Mathematical functions called logarithms let us change the scale at which numbers are expressed. They specifically aid in the transformation of numbers stated in exponential form into numbers expressed in standard form. The exponent to which the base must be raised in order to obtain a given number is given by the logarithm of the number to the specified base. For instance, since 23 = 8, the logarithm base 2 of 8 is 3. Natural logarithms, which are logarithms to the base e (about 2.718), and common logarithms, which are logarithms to the base 10, are the two types of logarithms that are most frequently used.
The given logarithmic expression is:
\(5^{(-3log_{5} 2 )} * 2^{(log_{2}3)}\)
Using the properties of logarithm we have:
\(5^{(-3log_{5} 2 )} 2^{(log_{2}3)}\\= (5^{(log_{5}2)})^{(-3)} * 3\\= 2^{(-3)} * 3\\= 3/8\)
Hence, the logarithm of the expression \(5^{(-3log_{5} 2 )} * 2^{(log_{2}3)}\) is log(3/8).
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please help i will give extra points!!!!!
Answer:
\( {4}^{2} + (3 \times 6) - 7 \\ {4}^{2} + 18 - 7 \\ {4}^{2} + 11 \\ 16 + 11 \\ = 27\)
PLEASE MARK ME BRAINLIESTAnswer:
27
Step-by-step explanation:
you do 6 x 3 which is 18 and then 4 to the power of 2 is 16 so 18+16 is 34 -7=27
Find the amount (future value) of the ordinary annuity. (Round your answer to the nearest cent.)
$300/week for 9 1/2
years at 5.5%/year compounded weekly
Answer: $227,226.51
Step-by-step explanation:
First, we need to convert the period to weeks.
9 1/2 years = 9.5 years
1 year = 52 weeks
9.5 years = 494 weeks
Next, we can use the formula for the future value of an annuity:
FV = (PMT x (((1 + r/n)^(n*t)) - 1)) / (r/n)
where:
PMT = payment amount per period
r = annual interest rate
n = number of compounding periods per year
t = number of years
Plugging in the given values:
PMT = $300
r = 0.055 (5.5% expressed as a decimal)
n = 52 (compounded weekly)
t = 9.5 years = 494 weeks
FV = ($300 x (((1 + 0.055/52)^(52*494)) - 1)) / (0.055/52)
FV = $227,226.51
Therefore, the future value of the annuity is approximately $227,226.51.
can someone help me with five and six
Answer:
5) a)(-4,-6) b) (4,2) c) (2,6) 6) (3,2)
Step-by-step explanation:
5) the solution is the points where the lines meet.
6) graphed the lines; the picture of the graph is attached below
Select all of the names that apply to π
Answer:
3.14, pie, pi
Step-by-step explanation:
there I answerd
Answer:
3.14, pi, pie
Step-by-step explanation:
That's all that I could think of but I really hope this helps you!
Which of the following is a quadratic equation that has the roots x = 3 and x = −4?
Answer:
x^2 + x = 12
Step-by-step explanation:
(x - 3)(x + 4) = 0
x^2 + 4x - 3x - 12 = 0
x^2 + x - 12 = 0
x^2 + x = 12
The quadratic equation that has the roots x = 3 and x = −4 will be x²+x-12=0.
Any equation using the formula ax² + bx + c = 0 When x is a variable and a, b, and c are any real values; a quadratic equation is one where a≠0.
It is given that the quadratic equation that has the roots x = 3 and x = −4.
We know that one such equation is provided by x²-(a+b)x+ab=0 if a and b are the roots of a quadratic equation.
x²-(a+b)x+ab=0
Substitute the value of an as 3 and b as -4.
x²-(3-4)x+(3)(-4)=0
x²-(-1)x-12=0
x²+x-12=0
Thus, the obtained quadratic equation will be x²+x-12=0.
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Help me solve 1-4 please and show work
Answer:
Step-by-step explanation:
you have to look at the power rules
1. -2X^2(5x^2)= -10x^4
2. -7x(5x-8)=-35x^2+56
3. 3x(2x+8)=6x^2+24x
4. x(9x^2-3x+4)=9x^3-3x^2+4x^2
Find domain and range
a backpack that normally sells for $40 is on sale for $30. find the percentage of a change.
Answer:It would be 40•.25=10
Step-by-step explanation: which means 40-10=30 so it’d be .25 and you’d move the decimal over 2 spots so it’d be 25% off
need help with math plz thanks
Answer:
0
Step-by-step explanation:
\(f(x)=2x-4\\f(2)=2(2)-4\\f(2)=4-4\\f(2)=0\)
Answer:
0
Step-by-step explanation:
If f(x) = 2x - 4
Then f(2) = 2(2) -4
f(2) = 4 - 4
= 0
Given the diagram below, what is
cos(45*)?
8 √2
450
Triangle not drawn to scale
O A. 1/√2
O B. 2 √2
O C. 4 √2
O D. √2
The value of cos(45°) is √2/2. The correct answer choice is D. √2.
In the given diagram, the angle labeled as 45° is part of a right triangle. To find the value of cos(45°), we need to determine the ratio of the adjacent side to the hypotenuse.
Since the angle is 45°, we can assume that the triangle is an isosceles right triangle, meaning the two legs are congruent. Let's assume the length of one leg is x. Then, by the Pythagorean theorem, the length of the hypotenuse would be x√2.
Now, using the definition of cosine, which is adjacent/hypotenuse, we can substitute the values:
cos(45°) = x/(x√2) = 1/√2
Simplifying further, we rationalize the denominator:
cos(45°) = 1/√2 * √2/√2 = √2/2
Therefore, the value of cos(45°) is √2/2.
The correct answer choice is D. √2.
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I need help I have been stuck on this for a while
a) The account with the largest balance is D. Rent A Truck which is $165.
b) The open account is D. Rent A Truck.
c) Since it takes seven years for negative credit history to be removed from a person's credit report, the year that the late payment at Rent A Truck will be removed is 2016, specifically by the end of February 2016.
What is a credit report?A credit report records the borrower's credit history from various sources, including banks, credit card companies, collection agencies, and governments prepared by the following credit reporting bureaus: Equifax, Experian, and TransUnion.
What is an open account?An open account refers to a credit that has not been fully discharged.
Unlike a closed account, the open account remains operational, with debit and credit transactions recorded, including finance charges and credit reports issued from it.
Thus, based on the facts supplied, Rent A Truck is the only open account because the other three have been closed.
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Which function is graphed below?