Answer:
Can you please explain more about what do you mean about write a equation for 37.
Step-by-step explanation:
Let g(x)=3 x+2 and f(x)=x-2 / 3 . Find each value.
(f⁰g)(-2)
Value for (f⁰g)(-2) = -6/3
What is the domain of the function (f⁰g)(-2)?Given :
g(x) = 3x + 2
f(x) = (x-2)/3
Now,
(f⁰g)(x) = f(g(x))
(f⁰g)(-2) = f(g(-2))
substitute x = -2
g(-2) = 3(-2) + 2 = -4
f(g(-2)) = f(-4)
(f⁰g)(-2) = f(-4) = -6/3
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Rewrite, using the distributive
property.
28 (y-7)= = [?]y -[]
Answer:
28y-196
Step-by-step explanation:
28(y-7)
Multiply y and -7 by 28.
(28*y)-(7*28)
Simplify.
28y-196
An online music store is having a promotion. Customers receive a $ 5 rebate if they buy any regular priced CD at $ 13 each. They can also recelve 15 % off if they register as a store member.
b. In which order should the discounts be applied for the customer to receive the greatest discount?
To receive the greatest discount, the customer should first apply the membership discount and then take the rebate.
We are given that:
Rebate a customer receives if he buys a regular priced CD at $ 13 each = $ 5.
If a customer registers for the store member, he get a discount = 15 %.
Now, let the regular priced CD purchased be x and the application for store member be y.
So, the functions will become:
For rebate:
R (x) = 5 x
For discount:
M (y) = 15 % of x
M (y) = 0.15 x
Now, the amount a customer has to pay if she takes the membership and then takes the rebate =(1 − 0.15) (13 x) − 5 x = 6.05 x
And, if he takes the rebate first and then take the membership, he pays = (13 - 5 x)( 1 - 0.15) = 6.8 x
Therefore, we get that, to receive the greatest discount, the customer should first apply the membership discount and then take the rebate.
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Evaluate -3|15-8|.
-7
-21
18
Answer:
18=49
Step-by-step explanation:
Sharon tracks the number of cupcakes she sells each day for a week. the numbers of cupcakes she sold are 23, 25, 32, 35, 36, 25, and 27.
the mean of her sales over the week is
29
, and the median is what?
The median of the data is 4.
The mean of data is the ratio of the sum of observations to the total number of observations. The Median is defined as the middle value of data.
Data:23,25,32,35,36,25,27.
The mean of the data is,
[tex]Mean = \frac{Sum \: of \: observation }{Total \: number \: of \: observation}[/tex]
= 23+25+32+25+36+27+27 7
=29
The mean of the data is 29.
The median of the data is,
Arranging the data in ascending order,
23,25,25,27,32,35, 36
[tex]Meadian= \frac{n+1}{ 2} = \frac{ 7+1}{ 2 }[/tex]
= 4
Therefore, the median of the data is 4.
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Find the unit rate 8 1/2 miles in 1/2 hour
Answer:
17.
Step-by-step explanation:
Multiply rate by 2
8 1/2 * 2 = 17
Salena is buying school supplies. Pencils are sold in packages of 12, while erasers are sold in packs of 10.She wants to buy the smallest number of both pencils and erasers so that she has an eraser for every pencil. How many packages of pencils and erasers should Salena buy?
12 x 5 = 60
10x 6= 60
so 5 packs of pencils and 6 packs of erasers.
what are the rules for dividing integers
Answer: Positive ÷ positive = positive.
Negative ÷ negative = positive.
Negative ÷ positive = negative.
Step-by-step explanation: The division of two positive integers results positive integer.
Positive (+) ÷ Positive (+) = Positive (+)
The division of two negative integers results positive integer.
Negative (+) ÷ Negative (+) = Positive (+)
The division of two different sign integers results negative integer.
estimate the sum
1. 359=
814=
+ 207=
2. 6428=
7154=
+ 9345=
According to the solving the estimated sum of the numbers:
2,0401,38022,93014,42022,610What is the total and difference of the estimates?To estimate implies to come up with a solution that is close but not accurate. It's a reasonable solution to a problem. A sum is the solution to an addition issue. A difference is a solution to a subtraction issue.
How do you write a rough estimate?To get the total, we round each number to the closest tenth and then add the rounded figures. Let us calculate 38 + 23. 38 is more like 40 than 30. As a result, 38 is rounded up to 40.
According to the given data:1 435 + 678 + 925 = 2,038
on round of = 2040
2.359 + 814 + 207 = 1,380
on round of = 1380
3. 6428 + 7154 + 9345 = 22,927
on round of = 22930
4. 2987 + 6873 + 4555 = 14,415
on round of = 14420
5. 6759 + 8210 + 7642 = 22,611
on round of = 22610
2,040
1,380
22,930
14,420
22,610
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I understand that the question you are looking for is:
Estimate the sum:
1 435 + 678 + 925 =
2.359 + 814 + 207 =
3. 6428 + 7154 + 9345 =
4. 2987 + 6873 + 4555 =
5. 6759 + 8210 + 7642 =
help me this is transformations review
The triangle UVW have vertices at U(-3, -4), V(-3, -3) and W(-2, -4). UVW is reflected across x = -2 to get U'(-1, -4), V'(-1, -3) and W'(-2, -4)
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformations are rotation, translation, reflection and dilation.
Translation is the movement of a point either up, down, left or right in the coordinate plane.
The triangle UVW have vertices at U(-3, -4), V(-3, -3) and W(-2, -4). UVW is reflected across x = -2 to get U'(-1, -4), V'(-1, -3) and W'(-2, -4)
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A list of numbers is shown.
7.6, √50, √65, √78,8.2
To plot the numbers on a number line, which list is ordered from
least to greatest?
Answer:
√50, 7.6, √65, √78.8, 8.2
Step-by-step explanation:
might be wrong but i'm pretty sure this is it
Marisa said that multiplying 8.0 by 106 would increase the value of the 8 because there would be 6 more zeros to the right of the decimal point. Explain what is wrong with Marisa's statement.
May you help me?
Answer:
The value behind a decimal point isn't increased by zeros, zeros are actually just placeholders
Step-by-step explanation:
Give possible values for the measures of angles A and C if ABC is an obtuse triangle.
( In triangle ABC, the measure of angle B is 50 degrees)
The possible values of angles A and C are;
60° and 70° or 55° and 75°
How to find the angles in a triangle?
An acute triangle is a triangle that has all the measures of its angles to be less than 90°. This means that none of the angles is greater than 90°
Since sum of the angles in a triangle is equal to 180°, then it means that;
∠A + ∠B + ∠C = 180°
We are given that;
∠B = 50°
Thus;
50° + ∠A + ∠C = 180°
∠A + ∠C = 180° - 50°
∠A + ∠C = 130°
It should be noted that all the angles of the acute triangle are also different.
Thus, the possible values of A and C are 60° and 70° or 55° and 75° because their sum must be equal to 130°
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What is the solution of 4+√3 x+5=7 ?
The solution of 4+√3 x+5=7 is x = ( - 2 ) / [tex]\sqrt{3}[/tex] .
Linear Equation : An equation ( containing equal to = sign ) is called a linear equation if the highest power of variable is 1 . In order to solve linear equation in 1 variable 1 equation is enough .
Solving linear eq . in 1 variable
4+√3 x+5=7
√3 x = 7 - 5 - 4
x = ( - 2 ) / [tex]\sqrt{3}[/tex]
Hence , the solution of 4+√3 x+5=7 is x = ( - 2 ) / [tex]\sqrt{3}[/tex] .
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What is 101010101x70000000
10,15,00,000\
or 10,000,000,
Answer:
7.07070707E15
Step-by-step explanation:
The length of a rectangle is 3 meters less than 2 times the width. the perimeter is 24 meters. find the width.
The width of the rectangle is: 3 meters.
What is the Perimeter of a Rectangle?Perimeter of a rectangle is determined using the formula:
Perimeter = 2(length + width)
Given the parameters below:
Width of the rectangle = w meters
Length of the rectangle = 2w - 3 meters
Perimeter of the rectangle = 24 meters
Therefore:
2((2w - 3) + w) = 24
Solve for w (width of the rectangle)
2((2w - 3 + w) = 24
2(3w - 3) = 24
6w - 6 = 24
6w = 24 - 6
6w = 18
6w/6 = 18/6
w = 3
Therefore, the width of the rectangle is: 3 meters.
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Select the step that is not part of the process for copying ∠CAB.
A - Draw a line and mark A' on it.
B - Set the compass to length AB.
C - Place the compass point at A' and mark an arc crossing the new line.
D - Label the intersection of the arc and the new line C'.
The only one that is not part of the process for copying ∠CAB is; Option D: Label the intersection of the arc and the new line C'.
What are the steps in copying an angle?The steps for constructing a copy of an angle using only a compass and a straightedge are as follows;
Step 1: Mark the point that will be the vertex of the new angle, and label it P.
Step 2: Draw a ray from P in any direction, with any length. This ray will be one of the sides of the new angle.
Step 3: Place the compass point on the vertex of the original angle, and adjust the compass width to a convenient size.
Step 4: Use the compass to draw an arc intersecting both rays of the original angle at two points, J and K.
Step 5: Move the compass (without changing the width) to point P, and make an arc intersecting the existing ray of the angle. Mark the intersection point, and label it M.
Step 6: Set the compass point on the original angle at point J, and set its width to the length of line segment JK.
Step 7: Move the compass point to M on the new angle, and draw an arc cutting the previous arc. Mark the intersection point and label it L.
Step 8: Draw a ray from point P through point L. The new angle is a copy of the original angle.
Looking at the given options, the only one that is not part of the process for copying ∠CAB is; Option D: Label the intersection of the arc and the new line C'.
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Answer:
d
Step-by-step explanation:
3) Tim has 5/10 of a book left to read for school. Tim read 1/8 of a book on Monday. Tim reads 10/13 times faster on weekends. How many more books does Tim need to read?
The fraction that's left to read in the book is 3/8.
How to calculate the fraction?From the information given, it should be noted that Tim has 5/10 of a book left to read for school. Tim read 1/8 of a book on Monday.
Therefore, the fraction that will be left to read will be:
= 5/10 - (1/8)
= 20/40 - 5/40
= 15/40
= 3/8.
The fraction that is left will be 3/8.
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PLS HELP MEEE what is equation y??
Which statement describes the end behavior of this function?
9(x) = }|x
3| - 7
• A.
As x approaches negative infinity, g(x) is no longer continuous.
• B.
As x approaches positive infinity, g(x) approaches positive infinity.
• C.
As x approaches positive infinity, g(x) approaches negative infinity.
• D.
As x approaches negative infinity, g(x) approaches negative infinity.
The correct option for the end behaviour of function is option C. As x approaches positive infinity, g(x) approaches positive infinity.
What is defined as the end behaviour of function?End behavior of such a function f refers to the behavior of the function's graph at the "ends" of a x-axis. In other sayings, the end behavior of a function defines the graph's trend when we look to the right end of x-axis (as x approaches +) and the left end of the x-axis (since x approaches ).We have been assigned the following function:
g(x) = 1/2|x - 3| - 7
Behavior at the end: As x approaches negative and positive infinity, the limit of g(x) is reached.
Infinity minus one:
lim g(x) = lim 1/2|x - 3| - 7
x → -∞ x → -∞
lim g(x) = 1/2|-∞ - 3| - 7 = | -∞ | = ∞
x → -∞
Thus, the negative end behaviour is ∞ .
Infinity plus one:
lim g(x) = lim 1/2|x - 3| - 7
x → ∞ x → ∞
lim g(x) = 1/2|∞ - 3| - 7 = | ∞ | = ∞
Thus, positive end behaviour is also ∞ .
As a result, it approaches positive infinity in both cases, and the correct option is C.
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The correct question is-
Which statement describes the end behavior of this function?
g(x) = 1/2|x - 3| - 7
A. As x approaches positive infinity, g(x) approaches negative infinity.
B. As x approaches negative infinity, g(x) approaches negative infinity.
C. As x approaches positive infinity, g(x) approaches positive infinity.
D. As x approaches negative infinity, g(x) is no longer continuous.
3 4/15 divided by (8 times 6 3/10)
let's first of all, convert all the mixed fractions to improper fractions and then proceed.
[tex]\stackrel{mixed}{3\frac{4}{15}}\implies \cfrac{3\cdot 15+4}{15}\implies \stackrel{improper}{\cfrac{49}{15}} ~\hfill \stackrel{mixed}{6\frac{3}{10}}\implies \cfrac{6\cdot 10+3}{10}\implies \stackrel{improper}{\cfrac{63}{10}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{3\frac{4}{15}}{ ~~ 8\cdot 6\frac{3}{10} ~~ }\implies \cfrac{\frac{49}{15}}{ ~~ 8\cdot \frac{63}{10} ~~ }\implies \cfrac{\frac{49}{15}}{ ~~ \frac{252}{5} ~~ }\implies \cfrac{49}{15}\cdot \cfrac{5}{252}\implies \cfrac{49}{252}\cdot \cfrac{5}{15} \\\\\\ \cfrac{7}{36}\cdot \cfrac{1}{3}\implies \cfrac{7}{108}[/tex]
Jabria added water to a tank by opening a value to produce a constant stream of water after 7 minutes the tank contained 3,482 gallons of water she waited 12 more minutes and observed that the tanks contained 7,298 gallons of water how much water was in the tank when Jabria began adding water?
Using a linear function, it is found that 1466 gallons of water were in the tank when jabria began adding water.
What is Mathematical function ?
Function is defined as the expression or relation between any given two variables such as x and y and there must be an independent variable and dependent variable.
A linear function is modeled by: y = mx + b
where,
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, we have given that in 12 minutes, the amount of water increased by 3456 gallons, hence the slope is given by :
m = 3456/12 = 288.
In 7 minutes, the tank contained 3,482 gallons of water, hence the initial amount was given by :
3482 - 7 x 288 = 1466
1466 gallons of water were in the tank when jabria began adding water.
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A group of friends decides to attend a concert. The group pays $125 per ticket and each person chips in $6 for parking. A total of $85 is spent on concessions. If the group spent $740, how many friends are in the group?
The question is listed below:
Answer:
[tex]3\sqrt{5}[/tex]
Step-by-step explanation:
Factor out a [tex]\sqrt{5}[/tex] from the [tex]\sqrt{80}[/tex], and you will get [tex]\sqrt{5} * \sqrt{16}[/tex]
Then you get: [tex]4\sqrt{5}[/tex], since the square root of 16 is just 4. Then we have this expression:
[tex]4\sqrt{5} -\sqrt{5}[/tex], which gives us [tex]3\sqrt{5}[/tex].
Hope this helps
If BK,= 19 what is KQ?
Answer:
9.5
Step-by-step explanation:
[tex]\frac{KQ}{BK} = \frac{?}{?}\\ KQ = \frac{BK}{2}\\KQ = \frac{19}{2}\\KQ = 9.5[/tex]
Find the value of x.
-2x = 3x + 6
Answer:
x = -6/5
Step-by-step explanation:
Find the value of x.
-2x = 3x + 6
Subtract 3x from each side
-2x-3x = 3x-3x + 6
-5x = 6
Divide each side by -5
-5x/-5 = 6/-5
x = -6/5
Step-by-step explanation:
It is here that equilibrium level of income is established because what the savers intend to save becomes equal to what the investors intend to invest. Sum and substance is that if planned saving and planned investment are equal, then output, income, employment and price level will be constant.Kindness is defined as the quality of being friendly, generous, and considerate. Affection, gentleness, warmth, concern, and care are words that are associated with kindness
Use double-angle identities to write each expression, using trigonometric functions of θ instead of 4θ .
tan 4θ
Answer:
tan4θ=(4tanθ−4tan^3θ)/(1−6tan^2θ+tan^4θ)
Step-by-step explanation:
Let f(x)=3 x²-11 x-4 and g(x)=3 x+1 . What are f . g and f/g and their domains?
If the two functions be f(x) = 3x² - 11x - 4 and g(x) = 3x + 1 then
(fg)(x) = f(x)g(x) = [tex]$$9x^3[/tex] - 30x² - 23x - 4
(f/g)(x) = f(x)/g(x) = x - 4
What is meant by function operation?
Function operations are the rules we use to solve functions. There is a specific way to deal with function addition, multiplication, and division.
Function composition is a mathematical operation that takes two functions f and g and produces a function h = g f such that h(x) = g(f(x)). The function g is applied to the result of applying the function f to x in this operation.
Let the two functions be f(x) = 3x² - 11x - 4 and g(x) = 3x + 1.
(fg)(x) = f(x)g(x)
= (3x² - 11x - 4) (3x + 1)
simplifying the above equation, we get
= 3x² [tex]*[/tex] 3x + 3x² [tex]*[/tex] 1 - 11x [tex]*[/tex] 3x - 11x [tex]*[/tex] 1 - 4 [tex]*[/tex] 3x - 4 [tex]*[/tex] 1
= [tex]$$9x^3[/tex] - 30x² - 23x - 4
Therefore, (fg)(x) = f(x)g(x) = [tex]$$9x^3[/tex] - 30x² - 23x - 4
(f/g)(x) = f(x)/g(x)
Where, f(x) = 3x² - 11x - 4 and g(x) = 3x + 1.
f(x)/g(x) = (3x² - 11x - 4)/(3x + 1)
= [(3x + 1)(x - 4)]/(3x + 1)
canceling the common factors we get
= x - 4
Therefore, f(x)/g(x) = x - 4
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Last year, a popular brand of running
shoes cost $75.99 per pair. The new
model of the same shoe costs $95.99 per
pair. What is the percent of increase in
price for the pair of running shoes?
Round to the nearest tenth if necessary.
Answer:
answers is 26.3%.
Step-by-step explanation:
you will say ( NEW price-OLD price)
95.99-75.99=20
20/75.99*100%
=26.3%
What is the expression ∛(a)⁷ written as a variable raised to a single rational exponent?
The expression ∛(a)⁷ raised to a single rational exponent is [tex]a^{\frac{7}{3} }[/tex] .
A rational number is one that can be defined as the ratio or fraction a/b of two numbers, where a and b are the numerator and denominator, respectively. Here the integer numbers a and b are co prime numbers.
For example 8/7 is a rational number and all integers are rational numbers.
Any combination of terms that have undergone operations like multiplication,addition, subtraction, division is known as an algebraic expression.
it is given that the expression is of the form ∛(a)⁷ .
We know that the n-th root of a variable x ([tex]\sqrt[n]{x}[/tex]) can also be written as
[tex]x^{\frac{1}{n} }[/tex].
Therefore ∛(a) can be written as [tex]a^{\frac{1}{3} }[/tex] . Now the complete expression is ∛(a)⁷.
So [tex](a^{\frac{1}{3} })^7=a^{\frac{7}{3} }[/tex] and we know that 7/3 is a rational number.
Therefore the expression can be written as [tex]a^{\frac{7}{3} }[/tex] using rational exponents.
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