Answer:
Personally, I think it depends on the amount of the product you’re buying. If the product is expensive, you should go the store with a percentage-off discount. If the product is not expensive, you should go to the store with coupon savings.
Step-by-step explanation:
For example, if you’re buying a $5 toy with a $1 coupon and 10% off, you should chose the coupon. Because if you chose the discount, it doesn’t change a lot of things. However, if you’re buying a million dollar airplane(just kidding), then you should definitely chose the discount. Because a million dollar minus 1 changes nothing. But a 10% discount can decrease the cost by 1 hundred thousand! Isn’t that surprising? Hope you understand it.
What is the solution of √x+2=x ?
After the solution, the value of x for the equation √x+2 = x is 2.
What, accurately, is an equation?An equation is a mathematical statement composed of two representations joined by an equal sign.An example of an equation would be 3x - 5 = 16.After solving this equation, we get the value for the variable x as x = 7.So,
Given the equation: √x+2 = x
Then,
To get a quadratic, square it:
x+2=x²x²-x-2=0Quadratic formula:
x=1/2(1±√1+8)x=1/2(1±3)x=-1, 2However, when we square in our work, we must ensure that we haven't accidentally introduced extra roots.
In this case, -1 is not a solution to the original equation, whereas 2 is.
Therefore, after the solution, the value of x for the equation √x+2 = x is 2.
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Write the equation of the line passing through the points (-4,5) and (-5,4)
Answer:
y=x+9
Step-by-step explanation:
The general equation for a straight line is y=mx+c
1. first we need to find the gradient (m) to do this we do
4-5/-5-(-4)
which gives the answer of 1. This means or gradient (m) is 1. we can substitute this in our general formula y=mx+c which gives
y=1x+c this can also be written as y=x+c
2. we need to find the value of c. to do this we can sub in any co-ordinates from the question in this case we will be using (-4,5)
-4 is the x co-ordinate
5 is the y co-ordinate
5= -4+c
to get c we add 4 on each side we get
9=c
we can sub this into the equation we produced with the gradient giving us
y=x+9
3. the final answer is y=x+9
complete the equation of the line whose slope is -2 and y intercept is (0,3)
Tulip bulbs are on sale at two different stores. Which store offers a lower price per tulip bulb? Explain your reasoning or use a diagram to show your thinking.
● Store A: 4 tulip bulbs for
$9 ● Store B: 5 tulip bulbs for $11
Find the largest prime divisor of $15^6 - 7^6$
The largest prime divisor of the expression [tex]15^{6} - 7^{6}[/tex] is 379.
Here, we are given an expression: 15^6 - 746
This can be written as-
[tex][15^{3}] ^{2} - [7^{3}] ^{2}[/tex]
now, using the property [tex]a^{2} -b^{2}[/tex] = (a + b)(a - b), we get-
[tex][15^{3}] ^{2} - [7^{3}] ^{2}[/tex]
= [tex](15^{3} +7^{3}) (15^{3} -7^{3})[/tex]
= (3375 + 343) (3375 - 343)
= 3718 × 3032
Now, here the factors of 3718 will be
3718 = 2 x 11 x 13 x 13
Here, the largest prime factor we find is 13
Similarly, the factors of 3032 will be
3302 = 2 * 2 * 2 * 379
Here, the largest prime factor we find is 379
Thus, the largest prime divisor (factor) of the given expression is 379.
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Simplify each radical expression. Use absolute value symbols when needed. 5√0.00032 x⁵
The value of radical expression 5√0.00032 x⁵ is (6.4e-5)x.
By considering the given radical expression
5√0.00032 x⁵
=(0.00032 x⁵ )^1/5
=(6.4e-5)x
A y-intercept, a horizontal asymptote, a domain (the range of x values at which the function exists), and a constant growth factor, b, are the four main characteristics of exponential functions.
An expression with a square root is referred to as a radical expression. Radicand: A value or phrase contained within the radical symbol. Equation with radical expressions and variables as radicands is referred to as a radical equation.
The 'V'-shaped portion of the radical symbol will have a superscript number when it is used to represent any root other than a square root. For instance, the expression 3(8) denotes the cube root of 8.
The radical symbol, which resembles a check mark, the index, a small number written outside the radical symbol, and the radicand, a quantity written beneath the horizontal bar of the radical symbol, are the three main components of the radical expression a^b.
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the quotient of 2 and a numbe x times 3
Answer:
Step-by-step explanation:
2x
Study island/////////////////////\
√2 is 1 approximately less than √6. (option A).
What is the relationship between √2 and √6?The square root of a number can be described as the factor of a number that when multiplied by itself would yield the number. For example, the square root of 16 is 4. This is because 4 multiplied by 4 is equal to 16. The sign used to represent square root is √.
The square root of 2 is 1.414
Th square root of 6 is 2.449
The difference in the square roots of 6 and 2 is : 2.449 - 1.414 = 1.04
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Ken makes trail mix. the ratio of nuts to raisins is 3 to 4. find the amount of nuts used in trail mix that had 10 cups of raisins
The amount of nuts used in trail mix that had 10 cups of raisins will be 7.5 nuts.
How to calculate the value?From the information, Ken makes trail mix. the ratio of nuts to raisins is 3 to 4.
The amount of nuts used in trail mix that had 10 cups of raisins will be:
= 10 × 3/4
= 30/4
= 7.5
Therefore, the amount of nuts used in trail mix that had 10 cups of raisins will be 7.5 nuts.
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Annie can mow 1/6 of an acre in 50
minutes. how many acres can she mow
per hour?
If Annie can mow 1/6 of an acre in 50 minutes, then in an hour, she can mow 1/5 of an acre.
How many acres can Annie mow per hour?Given the data in the question;
Annie can mow 1/6 of an acre in 50 minuteshow many acres can she mow per hour?Let x represent the number of acres that Annie can mow in hour.
Also convert 1 hour to minutes
1 hour = (1 × 60)min = 60min
Annie can mow 1/6 of an acre in 50 minutes
Annie can mow x of an acre in 60 minutes
Hence;
1/6 × 60 = x × 50
60/6 = 50x
50x = 60/6
50x = 10
x = 10/50
x = 1/5
If Annie can mow 1/6 of an acre in 50 minutes, then in an hour, she can mow 1/5 of an acre.
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5. 2 w+6 ≤ 10 this is for algebra
A department store purchases logo shirts at a cost of $10 per shirt. They mark up the price 100% and put them on the sales floor. Every month that a shirt doesn’t sell, the store reduces the selling price by 25%. After three monthly markdowns, the final shirt from the shipment is sold. There is a 5% sales tax on the selling price. What is the total cost to the customer?
The total cost to the customer is $8.86.
What Are Taxes?Taxes are mandatory contributions levied on individuals or corporations by a government entity—whether local, regional, or national.
Given:
Logo shirts at a cost of $10 per shirt.
Every month that a shirt doesn’t sell, the store reduces the selling price by 25%.
There is a 5% sales tax on the selling price.
According to given question we have
Cost of shirt = $10
Cost of the shirt after 100% increase
=100% of 10
= $10
Price of shirt after 100% increase
= $10 + $10
= $20
if shirt does not sell, price reduces by 25%. It means remaining value is 75% after every reduction.
So after 3 reductions, remaining value is 75% after every reduction
So, final price will be
$20 * 0.75 * 0.75 * 0.75
= $8.4375
There is a sales tax of 5% which customer will pay on the final price.
So, price for customer will be
$8.4375 + (5% of 8.4375)
= 8.4375 + 0.421875
= $8.859375≈ $8.86
Therefore, the total cost to the customer is $8.86.
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1. In some lion prides, the ratio of female to
male lions is 3: 1. What percent of the lions
are male? (Example 1)
Plssss help
Answer:
25%
Step-by-step explanation:
Based on the given conditions, formulate
Calculate the sum or difference:
Multiply a number to both the numerator and the denominator
: Write as a single fraction:
Calculate the product or quotient:
Rewrite a fraction with denominator equals 100 to a percentage:
Hattie had $1800 to invest and wants to earn 2.4% interest per year. She will put some of the money into an account that earns 2.3% per year and the rest into an account that earns 3.5% per year. How much money should she put into each account?
The amount invested in the account with 2.3% interest is $1650 whereas $150 was invested in the account whose interest rate is 3.5%
What is Hattie's annual earnings on the investment of $1,800?
The earnings that Hattie would receive every year on the investment is $1,800, the investment multiplied by the expected rate of return of 2.4%
annual earnings=$1,800*2.4%
annual earnings=$43.20
Let the amount invested at 2.3% to be x and the amount invested at 3.5% would be (1800-x), hence, the interest earnings are shown thus:
interest on 2.3% investment=x*2.3%=0.023x
interest on 3.5% investment=(1800-x)*3.5%
interest on 3.5% investment=63-0.035x
total interest=0.023x+63-0.035x
total interest=63-0.012x
43.20=63-0.012x
0.012x=63-43.20
0.012x=19.80
x=19.80/0.012
x=amount invested at 2.3%=$1650
amount invested at 3.5%=$1800-$1650
amount invested at 3.5%=$150
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Please help, I have a time limit on each question and its almost done
Answer:
B
Step-by-step explanation:
Solve the exponent first and thats the only remotely close answer
Amy gave the cashier $60 to pay for 3 giant dog pillows. The cashier gave her $6.15 in change. Each dog pillow cost the same amount.
What is the cost in dollars and cents for each dog pillow?
The cost in dollars and cents for each dog pillow is $17.95
What is the total cost of 3 giant dog pillows?
The total cost of the 3 giant dog pillows is determined as the amount Amy gave the cashier minus the change the cashier handed to Amy, in essence, the cost in dollars and cents for each dog pillow can now be computed the total cost of the 3 giant dog pillows divided by the number of dog pillows purchased
total cost for 3 giant dog pillows=total cost of amount given to cashier change received
total cost of amount given to cashier=$60
change received=$6.15
total cost for 3 giant dog pillows=$60-$6.15
total cost for 3 giant dog pillows=$53.85
cost per dog pillow=total cost for 3 giant dog pillows/number of dog pillows purchased
cost per dog pillow=$53.85/3
cost per dog pillow=$17.95
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For each function, identify the transformation from the parent function y=b x . y=7 (x-5)
Transformation of y= bx into y=7(x-5) will take place by by horizontal translation by 5 units to the right, vertical dilation by a scale factor of 7 .
A parent function is the simplest form of a particular family of functions. A family of functions is a group of functions that have the same highest degree and therefore the same graph shape. Function transformations "move" or "resize" or "mirror" the graph of the parent function. Mathematically speaking, the transformation of the function y = f(x) is usually y = a f(b(x + c)) + d. where a, b, c, and d are arbitrary real numbers representing transformations. Note that all outer numbers (outside the brackets) represent vertical translations, and all inner numbers represent horizontal translations. Addition and subtraction are translations, and multiplication and division are dilations. Every time a minus sign is multiplied it means it is a reflection here, 'a' stands for vertical stretch , 'b' stands for horizontal stretch , 'c' stands for horizontal movement , 'd' stands for vertical movementWe have given two function y=b x and y=7 (x-5) which means that first y changes into (x -5 ). i.e., horizontal translation by 5 units to the right. Then it changes into 7 (x - 5). i.e., vertical dilation by a scale factor of 7.
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Write the equation of the line in point-slope form:
(-8, 2) (-6, 8)
The equation of the line in point-slope form is:
y - 8 = 3(x + 6) or y - 2 = 3(x + 8).
What is the Equation of a Line in Point-Slope Form?The equation, y - b = m(x - a), represents the equation of a line in point-slope form, where:
(a, b) is a point on the linem is the slope of the line.Given two points, (-8, 2) and (-6, 8), find the slope (m) of the line that passes through the two points:
Slope (m) = change in y / change in x = (8 - 2)/(-6 -(-8))
Slope (m) = 6/2
Slope (m) = 3
Substitute m = 3 and (-6, 8) into y - b = m(x - a):
y - 8 = 3(x - (-6))
y - 8 = 3(x + 6)
Or substitute m = 3 and (-8, 2) into y - b = m(x - a):
y - 2 = 3(x - (-8))
y - 2 = 3(x + 8)
Therefore, the equation of the line in point-slope form is:
y - 8 = 3(x + 6) or y - 2 = 3(x + 8).
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Solve each equation by factoring. Check your answers.
4 x²+11 x+6=0
The factors of given equation are -3/4 and -2.
Rewriting the equation -
4x² + 11x + 6 = 0
The factors for the given expression will be calculated based on two factors -
1. The sum of factors should be equal to sum of numeral value of b (11 in this case)
2. The product of factors should be equal to product of numeral values of a and c (24 in this case)
As per the above rules, the appropriate factors should be 8 and 3.
Rewriting the given equation with possible factors -
4x² + 8x + 3x + 6 = 0
Taking common values
4x(x + 2) +3(x + 2) = 0
(x + 2) (4x + 3) = 0
x = -3/4, -2
Thus, the factors of given expression are -3/4 and -2.
To check the correctness of factors, we will keep each value of x in equation.
When x = -3/4
4x² + 11x + 6 = 0
4(-3/4) + 11(-3/4) + 6 = 0
9/4 -33/4 + 6 = 0
9/4 = 2.25 and 33/4 = 8.25
2.25 - 8.25 + 6 = 0
-6 + 6 = 0
0 = 0
When x = -2
4x² + 11x + 6 = 0
4(-2)² + 11(-2) + 6 = 0
16 - 22 + 6 = 0
22 - 22 = 0
0 = 0
Since both values of x give 0 on both sides of equation, the factors of equation are correct.
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- Write 1,340 in scientific notation. (1 pc
O1.34 x 104
O 1.34 x 10³
O 13.4 x 10³
O 1.34 x 10-
Answer:
1.34×10³Step-by-step explanation:
that is the answer
Multiply or divide. State any restrictions on the variables.
x²+3 x-10 / x²+4 x-12 . 3x+18 / x+3
The required simplification of rational expression is 3(x + 5) / (x + 3).
What is a rational number?
Any real number that can be represented in the form of p/q, where q is not equal to 0 is called a rational number. The decimal expansion of rational numbers is terminating and repeating.
Simplifying the rational expression: x² + 3x - 10 / x² + 4x - 12 . 3x + 18 / x + 3
Given a rational expression,
x² + 3x - 10 / x² + 4x - 12 . 3x + 18 / x + 3
On simplifying, we get,
(x² + 3x - 10).(3x + 18) / (x² + 4x - 12).(x + 3)
For numerator, (x² + 3x - 10).(3x + 18), we have,
= 3(x + 5)(x - 2)(x + 6)
For denominator, (x² + 4x - 12).(x + 3)
= (x + 6)(x - 2)(x + 3)
Now, (x² + 3x - 10).(3x + 18) / (x² + 4x - 12).(x + 3) = 3(x + 5)(x - 2)(x + 6) / (x + 6)(x - 2)(x + 3)
= 3(x + 5) / (x + 3)
The restrictionto the given rational expression is that the denominator, x + 3 should not be 0.
Hence, the required simplification of rational expression is 3(x + 5) / (x + 3).
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Trevor is baking cookies for a fundraiser. Each batch 1 of cookies requires 2 g cups of flour. If Trevor has 12.75 cups of flour, how many batches of cookies can he make?
what is the slope of the line
the slope would be -8/3. you go 8 down and 3 to the right.
Solve the math answer
Answer:
X = 40
Step-by-step explanation:
X/5 = 8
Multiply each side by 5 to solve for x
X/5 * 5 = 8*5
X = 40
What is the logarithmic form of each equation?
c. 1=3⁰
The logarithmic form of the given equation is log₃(1) = 0.
A logarithm is the degree to which a number must be raised in order to produce another number. For instance, the logarithm of 100 in base ten is 2, since ten multiplied by two equals 100: log 100 = 2, since 10² = 100.
The given equation is 1 = 3⁰
To convert this exponential form into logarithmic form, we are required.
Consider the given exponential form:1 = 3⁰
Taking logarithm on both sides with the base as 3, we get,⇒ log₃(1) = log₃(3⁰)
Now using the logarithmic rule logₐ(aⁿ) = n × logₐ(a) in the RHS of the above equation, we get
⇒ log₃(1) = 0 × log₃(3)
⇒ log₃(1) = 0 (Because 0 multiplied by any number equals zero,)
Therefore, the value of 1 = 3⁰ is given by log₃(1) = 0.
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b. If xⁿ=b ,then x=ⁿ√b
What is the answer(Also if you can please wright how you did it):)
Step-by-step explanation:
the answer to what question ?
is the request to find (solve for) x ?
if so, we have
(-3(2x - 6) + 5x)/6 = 7 + (2(-4x + 1) - 6)/3
now, I usually remove the fractions first by multiplying both sides with both denominators :
1. multiply by 6
-3(2x - 6) + 5x = 42 + 6(2(-4x + 1) - 6)/3
2. I can skip the general multiplication by 3, because the denominator 3 goes away in interaction with the new factor 6
-3(2x - 6) + 5x = 42 + 2(2(-4x + 1) - 6)
now, we do all the multiplications and see what we get :
-6x + 18 + 5x = 42 + 2(-8x + 2 - 6) =
= 42 - 16x + 4 - 12
-x + 18 = -16x + 34
15x = 16
x = 16/15
Use a double-angle identity to find the exact value of sin 120° .
Answer:
[tex]\frac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
[tex]\sin 2x=2\sin x \cos x \\ \\ \sin 120^{\circ}=2\sin 60^{\circ} \cos 60^{\circ} \\ \\ =2(\sqrt{3}/2)(1/2) \\ \\ =\frac{\sqrt{3}}{2}[/tex]
I need to find out if this is a horizontal or vertical compression/stretch and by what factor and also if it is a vertical, up or down, or horizontal, left to right, translation -4f(x)
The transformation rule f(x) → - 4 · f(x) is the consequence of combining a reflection about the x-axis and a vertical stretch.
What kind of rigid transformation is behind a transformation rule?
According to the statement, we must conclude what kind of rigid transformations are behind the transformation rule f(x) → - 4 · f(x). Rigid transformations are transformations applied on a function such that its form is not altered. The most common transformations are listed below:
Horizontal translation: f(x) → f(x - k), right when k > 0.Vertical translation: f(x) → f(x) + k, up when k > 0.Horizontal compression: f(x) → f(k · x), 0 < k < 1Horizontal stretch: f(x) → f(k · x), k > 1Vertical compression: f(x) → k · f(x), 0 < k < 1Vertical stretch: f(x) → k · f(x), k > 1Reflection about the x-axis: f(x) → - f(x)Reflection about the y-axis: f(x) → f(- x)Then, we find that the transformation rule f(x) → - 4 · f(x) is the consequence of combining a reflection about the x-axis and a vertical stretch.
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Use the properties of logarithms to evaluate each expression. 2 log 5+ log 40
The result obtained for the logarithms expression 2 log 5+ log 40 is 3.
What are the logarithmic functions defined as?The logarithm of a number is the exponent by which a fixed value recognized as the base must be raised in attempt to calculate that number. Because 1000 is ten to the third power, this same log of 1000 to base ten is three.
There is no such thing as a y-intercept.x = 0 is a vertical asymptote. *Note: An asymptote is a line that a graph reaches as absolute value of x as well as y increases.A logarithmic function has no horizontal asymptote.The value of the x-intercept is one.The function is spreading throughout the domain.If the base is between 0 and 1, the function reduces out over the domain.Some rules of the logarithmic functions are-
Quotient Rule: ㏒(A/B) = ㏒A - ㏒BProduct Rule : ㏒A + ㏒B = ㏒(AB)Power Rule: n㏒A = ㏒AⁿBase Rule = ㏒ₐb = ㏒ₓb/㏒ₓaExponent Rule = e∧lnx = xnow, the given expression to be evaluated is;
= 2 log 5+ log 40
Apply the Power Rule in the first term;
= log 5²+ log 40
= log 25+ log 40
Now, using the Product Rule, the expression becomes.
= log (25×40)
= log (1000)
If the base is taken as 10, then the value of the log (1000) = 3.
Therefore, the obtained value of the value of the logarithms expression 2 log 5+ log 40 is 3.
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