We can state that, 5 represents the output of the function at x = 2.
How to Interpret Functions?A function is a relation whereby each input gives only one possible output for the function.
For example, "f(x)" is the output of a typical function that is given by an input of "x".
Given the function statement, f(2) = -5, the input is x = 2, the output is -5. This means that, the function that has an input of 2, will give an output of -5.
-5, therefore, represents the output of the function when the input, x = 2, that is, f(-2) = -5.
Thus, we can state that, 5 represents the output of the function at x = 2.
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solve for X 7x+3=4x-5+12
Answer:
J.o.i.n p.l.z pqp-yuth-ygd
Approximately how many times greater is 2.3 than 1.15 ?
Answer:
The answer is D. 20,000
Step-by-step explanation:
Hope this helps!!!
Sorry if I'm wrong
what is -2/3 - (-1 1/3)
Answer:
2/3
Step-by-step explanation:
btw was it -11/3 or -1 & 1/3 cuz I did -2/3 - (-1 &1/3)
In Exercises 11-14, find m/1, m/2, and m/3. Explain your reasoning.
The measure of angles 1, 2 and 3 for fig in 11. are 100°, 80° and 100°. And for part 12. are 80°, 80° and 100° respectively.
For 11. part:
Considering two parallel lines l and m cut by a transversal p,
If two parallel lines are intersected by a transversal, each pair of interior angles on the same side of the transversal is supplementary.
m∠1 + 80° = 180°
m∠1 = 180° - 80°
m∠1 = 100°
Similarly, m∠1 + m∠2 = 180°
⇒ 100° + m∠2 = 180°
⇒m∠2 = 180° - 100°
⇒m∠2 = 80°
and also, m∠2 + m∠3 = 180°
⇒ 80° + m∠3 = 180°
⇒m∠3 = 180° - 80°
⇒m∠3 = 100°
Therefore, m∠1 = 100°, m∠2 = 80° and m∠3 = 100°.
For 13. part:
m∠3 = 100° (vertically opposite angle)
Now, let us suppose the angle adjacent to ∠3 be x then, m∠x will be simply equal to
m∠3 + m ∠x = 180° (Linear pair property.)
100° + m ∠x = 180°
m ∠x = 180° - 100°
m ∠x = 80°
Now, from the figure we can clearly see that,
m∠1 = m∠2 = m ∠x = 80°(Corresponding angles are equal.)
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ASAP PLEASE HELP IF RIGHT ANSWER WILL GIVE BRAINLIEST, 15 POINTS, AND 5 STAR OVERALL!!!! IF WRONG ANSWER OR INVALID WILL REPORT, PLEASE, PLEASE, PLEASE!!
Write the equation of the line in fully simplified slope-intercept form. The slope of the line is 3.
Answer:
The answer is C: y=3x+6
Step-by-step explanation:
Simplify each number. (-243)¹/₅
The given expression contains a fractional exponent and would be simplified through solving for it.
The reciprocal of power associated with the base is the degree of the radical signs.
For example: ∜7=7^1/4
In the given expression, there are two considerations. The number 243 has a power of 1/5, and the negative sign or say -1 also has a power of 1/5.
As a general rule, if the denominator of the fractional exponent is an odd number, as 5 in this case, the negative sign is extracted from the radical. Another way to look at it is -1 raised to any odd power would be -1.
Hence, (-243)^¹/₅ =-(243)^¹/₅
Factorizing the term,
243=3*3*3*3*3
Which can be expressed as 3^5
Hence,
-(243)^1/5=-(35)^1/5
As we know that (a^b)^c=a^bc, thus,
-(3^5^)1/5=-(3^5*1/5)= -(3^1)=-3
(-243)^¹/₅is simplified to -3
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Show complete algebra steps on your paper to solve -1.2x = 11.3x + 13.75. type only the solution rounded to the nearest tenth. if your answer is negative, be sure to type the negative sign before the number.
The solution of expression rounded to nearest tenth is -1.1
Rewriting the equation first -
-1.2x = 11.3x + 13.75
Now, shifting 11.3x to other side of the equation and rewriting the equation -
- 1.2x - 11.3x = 13.75
Rewriting the equation according to sign on Left Hand Side
-(1.2x + 11.3x) = 13.75
Performing addition of similar values on Right Hand Side of the equation
-12.5x = 13.75
Solving for the value of x from above mentioned equation -
x = 13.75 ÷ (-12.5)
Performing division to find the value of x
x = - 1.1
The number 1.1 rounded to nearest tenth will be 1.1.
So, the solution of expression rounded to nearest tenth is -1.1
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ASAPPPP!!! CAN U START FROM SECTION A TO SECTION B!!!!????
LISTEN HERE I NEED SOMEONE TO WORKOUT ALL OF THESE CUZ IF I DONT FINISH IT BY TOMZ I GET A DETENTION !!
Answer: I just did the ones that did not already have an answer
Section A:
7. 1.5 hours
9. 480 meters
10. 10 km
Section B:
1. 40 mph
2. 160 miles
3. 168 miles
4. 5.2 mph
5. 26.25 km/h
Eli needs to order some new supplies for the restaurant where he works. The restaurant needs
at least 546 knives. There are currently 312 knives. If each set on sale contains 10 knives, write
and solve an equation or inequality which can be used to determine x, the number of sets of
knives Eli could buy for the restaurant to have enough knives.
Write the equation or inequality
Name the property shown. (8 + 3) + 11 = 8 + (3 + 11)
The given question represents the commutative property of addition.
Given, (8 + 3) + 11 = 8 + (3 + 11)
According to the commutative property of addition, no matter how the numbers are arranged, the total of two or more numbers remains the same.
The commutative property of addition states that no matter how the numbers are organized, the result of adding or summing two or more numbers will always be the same. The representation of the bracket placement and arrangement in the provided addition problem is referred to as grouping in this context.
The addends can be grouped in several ways without affecting the result, according to the associative feature of addition. Rearranging the addends won't affect the result, according to the commutative property of addition.
Hence the given expression represents the commutative property of addition.
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Elena needs to earn at least $728 a week during her summer break to pay for college. She works two
jobs. One as a swimming instructor that pays $16.00 an hour and the other as an intern in a genetics
lab for 56.00 per hour. How many hours does Elena need to work at each job to earn at least $728
per week.
a) Let a be the number of hours she works teaching swimming and let y be the number of hours she
works as an intern. Write an inequality that would model this situation.
The inequality is:
Select an answer 728
The model equation to find the number of hours she should work to earn $728 per week is given as 16a +56b = 728
It is given that,
Elena is earning as a swimming instructor = $16.00 an hour
Also, she is earning as an intern in a genetics = $56.00 per hour
The condition which is given is that, Elena needs to earn at least $728
per week in order par her college fees
We need to find the, equation which can resolve this situation to find the number of hours she should work to earn $728 per week
Let the number of hours she works teaching swimming = a
And, let number of hours she works as an intern in genetics = b
Then, the equation can be made as = 16a +56b = 728
Hence, the model equation to find the number of hours she should work to earn $728 per week is given as 16a +56b = 728
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What are the domain and range of function P within the context of Melissa‘s garden? Drag the values to the correct locations on the image. Each value can be used more than once, but not all values will be used.
When a function is plotted, the domain and the range of the function are the x-coordinate and the y-coordinate respectively. The domain and range of the assumed function for Melissa's garden :
x = ( 2, infinity )
p(x) = (0 , infinity )
The function is not given. So, I will give a general explanation to calculate domain and range.
The domain is all possible values the independent variables of a function can take while the range is all possible values the dependent variables of a function can take
Assume the function of Melissa's garden is:
p(x) = x. (x-2)
Start by equating the function to 0
x. (x-2) =0
Split
x=0, x-2=0
x=0 x=2
x will give p(x) = 0
the length of the garden cannot be 0 or less.
So, the domain of the function is:
x = ( 2, infinity )
p(x) = (0 , infinity )
This means that the domain starts from a value greater than 2 (e.g. 3) and ends at infinity
To calculate the range, we substitute x = ( 2, infinity ) in the function
x=2
p(x) = 2.2-2 =0
So, the range of the function is:
p(x) = (0 , infinity )
This means that the domain starts from a value greater than 0 (e.g. 1) and ends at infinity
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Determine the value of b if YH = 12b - 4.5, MV = 17b +0.75, and MW-WH = 13.25.
From the information given, the value of b if YH = 12b - 4.5, MV = 17b +0.75, and MW-WH = 13.25 is 0. 59
What are algebraic expressions?Algebraic expressions are simplify defined as expressions that are composed of terms, variable, coefficients, factors and also constants.
They also seen as expressions involving arithmetic operations such as;
DivisionMultiplicationAdditionSubtractionBracketParenthesis, etcFrom the information given, we have that;
MW-WH = 13.25.
Where;
YH = 12b - 4.5MV = 17b +0.75Now, to determine the value of b, substitute the values into the equation
17b +0.75 + 12b - 4.5 = 13. 25
collect like terms
17b + 12b = 13.25 + 4. 5 - 0. 75
add or subtract like terms
29b = 17
Make 'b' the subject of formula by dividing both sides by 29, we have;
29b/29 = 17/29
Divide through
b = 0. 59
Thus, the value of b is 0. 59
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Carl deposited $1220 in a bank that pays 9% interest compounded monthly find the amount he will have at the end of 3 years
The amount that Carl will receive after 3 years is $ 27,146.49 when he invested $ 1220 at 9 % compound interest monthly.
We are given that:
Principal amount = P = $ 1,220
Compound interest rate = r = 9 % monthly
Time = 3 years = 3 × 12 months = 36 months.
The amount after 3 years will be given by:
Amount = 1,220 ( 1 + 0.09)³⁶
Amount = 1,220 ( 1.09 )³⁶
Amount = 1220 ( 22.25 )
Amount = $ 27,146.49
Therefore, we get that, the amount that Carl will receive after 3 years is $ 27,146.49 when he invested $ 1220 at 9 % compound interest monthly.
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Keilantra wants to ride her bicycle 28.8 miles a week. She already has written for miles. If she rides for four more days, right and solve an equation which can be used to determine M, the average number of miles she would have to write each day to meet her goal.
The average number of miles she would have to meet her goal will be 2.62 miles each day.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Keilantra plans to pedal her bike 28.8 kilometers each week. She has already written a great deal. assuming she rides for another four days.
Let n be the number of days required more. Then the equation is given as,
⇒ 28.8 / (7 + n)
⇒ 28.8 / 11
⇒ 2.62 km each day
The average number of miles she would have to meet her goal will be 2.62 km each day.
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Can someone explain what it means by creating a dot plot showing a uniform distribution?
A uniform distribution has the data values evenly distributed throughout the range of the data. A bimodal distribution has two very common data values seen in a dot plot or histogram as distinct peaks.
A Dot Plot, also called a dot chart or strip plot, is a type of simple histogram-like chart used in statistics for relatively small data sets where values fall into a number of discrete bins (categories). A dot plot is similar to a bar graph because the height of each “bar” of dots is equal to the number of items in a particular category.
A dot plot is a graphical display of data using dots: Dot Plot is a graph for displaying the distribution of quantitative variable where each dot represents a value. For whole numbers, if a value occurs more than once, the dots are placed one above the other so that the height of the column of dots represents the frequency for that value.
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Subtract.
(7v2+6v+3)–3v2
Answer:
4v^2 + 6v + 3
Step-by-step explanation:
Write a relation that is not a function, but whose inverse is a function.
The relation that is not a function, but whose inverse is a function are:
for every x in the domain of f, f -1[f(x)] = x, and
for every x in the domain of f -1, f[f -1(x)] = x
An inverse function is a characteristic that undoes the movement of another characteristic. A feature g is the inverse of a characteristic f if whenever y=f(x) then x=g(y). In different words, applying f and then g is the equal aspect as doing not anything. we are able to write this in terms of the composition of f and g as g(f(x))=x.
A few capabilities do not have inverse functions. for instance, remember f(x) = x2. There are numbers that f takes to four, f(2) = 4 and f(-2) = four. If f had an inverse, then the fact that f(2) = 4 might mean that the inverse of f takes four again to 2.
To discover the inverse function of an algebraic relation in terms of x and y, simply interchange the variables x and y, and resolve the equation for y. as an example, to discover the inverse of a relation y = x3, interchange x, and y after which clear up it for y. Then we get x = y3 ⇒ y = x1/3.
An inverse version can be represented by means of the equation xy=k or y=kx. this is, y varies inversely as x if there are a few nonzero steady k such that, xy=k or y=kx in which x≠0,y≠0 . assume y varies inversely as x such that xy=3 or y=3x.
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Find the value of n in the proportion 3/4 = n/10
Answer: n = 15/2
Step-by-step explanation:
Divide both sides n/10 = 3/34
Calculate n = 3/4 x 10
Answer is n = 15/2
Which equation shows that 6 is a factor of 18?
A 18 = 24 - 6
B
3 = 18 \div 63=18÷6
C 18=6×12
D 6=18×3
The equation 18/6 = 3 shows that 6 is a factor of the number 18.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A factor is a number that divides the given number without having any remainder.
Given that 6 is a factor of 18, hence:
18/6 = 3
The equation 18/6 = 3 shows that 6 is a factor of the number 18.
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Solve each equation. 3 x⁻¹=24
The solution of the given expression 3x⁻¹=24 is x = 1/8.
What is meant by exponents?An exponent (also known as a power or degree) indicates the number of times the base is multiplied by itself. For example,'has an exponent of 5 and a base of. This means that variable would be multiplied 5 times by itself. This can also be thought of as to a fifth power.
Some properties of the exponents are given as-
Zero Property: Any non-zero real number raised to a power of zero equals one.Negative Property: Whatever nonzero real number raised to either a negative power is one divided by the same number raised to a positive power.Product Property: When two exponents that have the same nonzero real number base are multiplied, the result is the sum of the exponents that have the same base.Quotient Property: When two exponents that have the same nonzero real number base are divided, the result is the difference of the exponents that have the same base.Now, for the stated question;
The given expression is;
=> 3x⁻¹ = 24
Divide both sides by 3.
=> x⁻¹ = 8
Taking the reciprocal on both sides.
=> 1/x⁻¹ = 1/8
This 1/x⁻¹ can be written as x.
=> x = 1/8
Therefore, the value of the x for the given expression 3x⁻¹=24 is 1/8.
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Expand each logarithm.
log₄√x⁵y⁷ / z u⁴
After expanding logarithm equation is : [tex]\frac{5.log_4(\sqrt{x} )y^7}{zu^4}[/tex]
What is logarithmic equation ?In, mathematics a logarithmic equation is inverse of exponential equation. That means, we can easily convert the logarithmic equation into exponential equation and vice versa. The basic form of the logarithm function can be written as .
[tex]log_ax=N[/tex]
where, a is the base of function or equation
x define expression
Mathematically, if [tex]a^N=x[/tex] is an exponential function then, this can be converted to logarithmic function as [tex]log_ax=N[/tex].
There are many formulas that are given to us for solving several simple and complex problems based on logarithmic functions and logarithmic equations.
Some important formulas of logarithms are :
log_c a × b = log_c a + log_c b , c is the baselog a/b = log a - log blog a^x = x log alog a^a = 1log (√x) = 1/2 log (x)The given expression can be written as,
[tex]\frac{log_4((\sqrt{x})^5 )y^7}{zu^4} \\[/tex]
apply formulas log a^x = x log a
[tex]log_4\sqrt{x}^5 = 5 log_4\sqrt{x}[/tex]
=> [tex]\frac{5.log_4(\sqrt{x} )y^7}{zu^4}[/tex]
Thus, after expanding the logarithm equation is : [tex]\frac{5.log_4(\sqrt{x} )y^7}{zu^4}[/tex]
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z ÷ 12 = 10 explain
PLEASE HELP
Answer:
z=120
Step-by-step explanation:
z/12 = 10
multiply both sides by
12 12z/z =
10 x 12
z= 120
Answer:
z=12x10=120
z= 120Step-by-step explanation:
hope this helps ˙˚ʚ(´◡`)ɞ˚˙
What is the solution to start fraction x over negative 6 end fraction = 10?
The solution to start fraction x over negative 6 end fraction = 10 is -60.
Here the equation will be
x/-6 = 10
We have to solve for the value of x. So, in order to solve for the value of x we simply have to multiply -6 by the RHS of the equation i.e., 10.
⇒x = -6x10
⇒x = -60
Therefore, the solution to start fraction x over negative 6 end fraction = 10 is -60.
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Solve each equation.
7 x-2=252
After solving the given equation 7x-2=252, the value of x = 36.9.
What exactly is an equation?An equation is a mathematical statement made up of two expressions joined by an equal sign.An example of an equation is 3x - 5 = 16.After solving this equation, we obtain the value of the variable x as x = 7.So,
Given: 7x-2=252Then,
7x-2=252
7x=252+27x=254x = 254/7x = 36.9Therefore, after solving the given equation 7x-2=252, the value of x = 36.9.
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WORLD RECORD The world's largest ice cream cake was created on May 10, 2011, in Toronto, Canada. The cake was 4. 45 meters long, 4. 06
meters wide, and 1 meter tall. All surfaces of the cake except the bottom were covered with a cookie crumble topping. Use an appropriate two-
dimensional model to approximate the area covered by the cookie crumble topping. Round your answer to the nearest tenth of a square
meter.
m²
The surface area of a rectangular cuboid cake which covered by a cookie crumble is approximately 35.1 m²
The cake can be depicted as in the attached picture with
length (l) = 4.45 meters
wide (w) = 4.06 meters
height (h) = 1 meter
It is a rectangular cuboid, or a right rectangular prism, which has 6 rectangular faces. Since all surfaces were covered by a cookie crumble except the bottom, hence, the surface areas are:
top face = l x w = 4.45 x 4.06 = 18.067 m²
left/right faces = 2 x w x h = 2 x 4.06 x 1 = 8.12 m²
front/back faces = 2 x l x h = 2 x 4.45 x 1 = 8.90 m²
Therefore, total surface area covered by the sprinkle is:
Total surface = 18.067 + 8.12 + 8.90 ≈ 35.1 m² ( to the nearest tenth)
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The Noatak National preserve in Alaska covers 6,574,481 acres. One acre is equal to 4840 square yards. What is the area of the preserve in square miles?
(help pls)
Answer:
244Y
1E
Step-by-step explanation:
Shannon measured a neighborhood park and made a scale drawing. The scale of the drawing was 1 inch = 2 yards. What is the drawing's scale factor?
The drawing's scale factor that Shannon used to measure a neighborhood park is 1:72.
How to calculate the value?It should be noted that 36 inches equals to 1 yards. Therefore, the value of 2 yards will be:
= 2 × 36
= 72 inches.
Therefore, the drawing's scale factor that Shannon used to measure a neighborhood park is 1:72.
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is pie a rational or irational
Oumou has to multiply 67x5 what’s her answer
The value of the product expression 67 x 5 is 335
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to solve the expression?The expression is given as
67 x 5
The above expression is a product expression
So, we have
67 x 5
Express 67 as 60 + 7
So, we have
67 x 5 = (60 + 7) x 5
Evaluate the products
So, we have
67 x 5 = 300 + 35
Evaluate the sum
So, we have
67 x 5 = 335
Hence, the value of the product expression 67 x 5 is 335
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