Answer:
f(5) = 104
Step-by-step explanation:
To find the value of f(5), we have to plug in 5 into our equation f(x) = 20x + 4.
f(5) = 20(5) + 4
Following our order of operations, we multiply first, then add to get our answer.
f(5) = 20(5) + 4
f(5) = 100 + 4
f(5) = 104
The cost of 5 nights of camping is $104.
Solve the simultaneous
equations
2x+y = 3
x+y=1
Answer:
x = 2, y = -1
Step-by-step explanation:
Now change the equation,
→ x + y = 1
→ y = 1 - x
Then the value of x will be,
→ 2x + y = 3
→ 2x + 1 - x = 3
→ x = 3 - 1
→ [ x = 2 ]
Therefore, the value of x is 2.
Now value of y will be,
→ y = 1 - x
→ y = 1 - 2
→ [ y = -1 ]
Hence, the value of y is -1.
Answer:
(2, -1)
-------
x = 2
y = -1
Step-by-step explanation:
1st equation:
2x + y = 3rewrite
y = 3 - 2x2nd equation:
x + y = 1rewrite
y = 1 - xSolve simultaneously:
y = y3 - 2x = 1 - x-2x + x = 1 - 3-x = -2x = 2When x = 2, y = 1 - x
y = 1 - 2
y = -1
There were 127 birds on the endangered species list in some year. This is more than twice the number of reptiles on the list. How many reptiles were on the endangered species list in this year?
r = number of reptiles on the endangered species list
2r = twice that number
2r < 127 since the 127 is more than twice the number of reptiles
Solve for r by dividing both sides by 2
2r < 127
r < 127/2
r < 63.5
If r is a positive whole number, then r could be anything from this set: {1, 2, 3, ..., 62, 63}
Unfortunately there isn't enough information to fully pin down what r is.
I would ask your teacher for further clarification.
Jackson and Flora both have bank accounts, and they use credit cards.
Use the number line to determine if they can pay off the credit card bill.
A. Jackson has $20 in his account. He uses a credit card to spend $30 on a
coat and $10 on a movie. Jackson then deposits $50 into his account.
How much will Jackson have left after he pays the credit card bill?
Last year, 63 new houses were built in a neighborhood. So far this year,
Write your answer in simplest form
11
12
of them have been sold. How many new houses have been sold this year?
13
14
The total number of the houses sold this year are 54.
What is defined as the fraction?Fractions are identified as a numerical value representing a portion of a whole.
A fraction is a portion or segment of any quantity taken from the whole, which can be any number, a fixed number, or a thing.Every fraction has a numerator and even a denominator isolated by a horizontal bar recognized as the fractional bar.The denominator signifies the number of parts into which the whole has indeed been subdivided. It is positioned below the fractional bar in the lower part of the fraction.The numerator specifies how many fractional sections are recognized or selected. It is positioned above the fractional bar in the upper part of the fraction.So, 6/7 of the new houses are sold.
Total houses = 63
Multiply the values.
= 63×6/7
= 54
Therefore, the total number of the new houses sold this year is 54.
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The correct question is-
Last year, 63 new houses were built in a neighbourhood. So far this year, 6/7 of them have been sold. How many new houses have been sold this year?
Andrew made an error in determining the polynomial equation of the smallest degree whose roots are 3, 2+2i and 2-2i. review andrew's work, identify the error and correct all work from that point forward that is affected by this error.
The polynomial equation is (x³ - 7x² + 20x - 24) = 0 and the Error that made by Andrew is incorrect factors of the roots.
Polynomial Equation:
The equations formed with variables, exponents and coefficients are called as polynomial equations.
Roots of the Polynomial:
Roots of a polynomial refer to the values of a variable for which the given polynomial is equal to zero.
Given,
Roots of the polynomial are: 3, 2 + 2i, 2 - 2i.
Here we need to find the error he made and the correct form of the equation.
According to the factor theorem, if a is a root of the polynomial P(x), then (x - a) is a factor of P(x).
According to this definition:
=> (x - 3) , (x - (2 + 2i)) , (x - (2 - 2i))
are factors of the required polynomial.
Simplifying the brackets, we get:
=> (x - 3), (x - 2 - 2i), (x - 2 + 2i)
are factors of the required polynomial.
This is the step where Andrew made the error.
The factors will always be of the form (x - a) , not (x + a).
Andrew wrote the complex factors in form of (x + a) which resulted in the wrong answer.
So, the polynomial would be:
=> (x - 3)(x - 2 - 2i)(x - 2 + 2i) = 0
=> (x - 3) (x² - 2x + 2xi - 2x + 4 - 4i - 2xi - 4i - 4i²) = 0
When we simplify it, then we get,
=> (x - 3)(x² - 4x + 4 + 4) = 0
=> (x - 3)(x² - 4x + 8) = 0
=> (x³ - 4x² + 8x - 3x² + 12x - 24) =0
=> (x³ - 7x² + 20x - 24) = 0.
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which function has an inverse that is also a function? {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}
The correct option is A. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}.
The function which also has an inverse that is also a function is {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}.
What is termed as a inverse function?An inverse in mathematics is a function which serves to "undo" another function. That is, if f(x) yields y, then placing y into the inverse of f yields x.
A function is a type of relationship that binds inputs to primarily one output.The machine will only acknowledge inputs which are primary criterion as part of a function's domain and will only generate one output for each input.In some other words, the function is the nature of the relationship between variables.In response to the given question
We understand that such a function is really only one that has a unique y value that corresponds to x.
An inverse function is only a function is if function being inversed is also a function.
Thus, option (A) has all x corresponding to y values that are different, but all remaining options have the values repeating, so that will not be a function because only (A) has to inverse.
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The complete question is -
Which function has an inverse that is also a function?
A. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}
B. {(–4, 6), (–2, 2), (–1, 6), (4, 2), (11, 2)}
C. {(–4, 5), (–2, 9), (–1, 8), (4, 8), (11, 4)}
D. {(–4, 4), (–2, –1), (–1, 0), (4, 1), (11, 1)}
What is an explicit formula for the sequence 0,3,8,15,24,...? What is the 20th term?
Answer:
the most logical answer is
n^2-1
20th term is then 399
Step-by-step explanation:
The rule behind the sequence could be anything, but it is very likely that we're supposed to notice that the terms are all squares minus 1
0 = 1*1 - 1
3 = 2*2 - 1
8 = 3*3 - 1
15 = 4*4 - 1
24 = 5*5 - 1
So we expect that the explicit formula is n^2-1 and the 20th term is 399
Evaluate the expression −x^2 + 2x-7 when X=-4
what is the estimate of 3,182x5
Step-by-step explanation:
15,910 like what said of calculator
56) The length of a rectangle is 1 inch more than 4 times its width. The area of the rectangle is 3 square
inches. What is the perimeter of the rectangle?
Perimeter of rectangle is 9.5 inches
If the length of the rectangle is l and its width is w,
l = 4w + 1, and
lw = (4w+1)×w = 3.
This yields 4w² + 1w -3= 0, which can be solved in the normal way for quadratic equations.
Solving the equation we get as
w=0.75 or w=-1
as it an not be negative value hence w=0.75
l=4
Perimeter of rectangle is 2*(l+w)= 9.5 inches.
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What statements describe the properties of a plane? select three options. a plane is one dimensional. a plane has length and width. a plane extends infinitely in all directions. a plane is precisely defined. a plane is a flat surface.
The correct options for defining a plane are-
2)A plane has length and width.3)A plane extends infinitely in all directions5)A plane is a flat surface.What is a plane?A plane is a flat, 2-dimensional surface which extends indefinitely in mathematics. Planes can appear as infinitely expanded subspaces from some multidimensional space, such as one of the room's walls, or they can exist independently, as in the configuration of Euclidean geometry.
Some key properties of the plane are-
If two distinct planes exist, they either are parallel to one another or intersect in a line.A line either runs parallel to the a plane, intersects it at a specific point, or exists within the plane.If two distinct lines are perpendicular to same plane, they has to be parallel to one another.Two planes that are perpendicular to same line must be parallel.Parallel planes & intersecting planes are the two types of planes. Parallel planes are two non-intersecting planes, and intersecting planes are planes that intersect along a line.To know more about the plane, here
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The correct question is -
What statements describe the properties of a plane? Select three options.
1)A plane is one dimensional.
2)A plane has length and width.
3)A plane extends infinitely in all directions.
4)A plane is precisely defined.
5)A plane is a flat surface.
Rory has 3 pounds of ground turkey to make meatballs.He uses 3/8 pound per to make 6 meatballs. How many 1/8 pound meatballs can Rory make with the remaining turkey?
He can make 2 meat balls from the remaining turkey.
Total pounds of ground turkey available = 3 pounds.
Turkey used to make 6 meat ball = 3 / 8 of 3 pounds = 9 / 8 pounds
Turkey used to make 1 meat ball = 9 / 8 ÷ 6 = 3 / 16
1 / 8 meat = 1/ 8 of 3 = 3 / 8 pound of meat.
Number of meatballs made = 3 / 8 × 16 / 3 = 2
Therefore, he can make 2 meat balls from the remaining turkey.
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PLEASE HELPPPP. WILL GIVE BRAINLIEST AND 5 STR RATINGGG
What mass of water will change its temperature by 3.0 °C when 635 J of heat is added to it?
The mass of water will change its temperature is 44.09 g.
Given that the temperature is change by 3.0°C when 635 J of heat is added to it.
Based on the given information, we know the following variables:
ΔT=3°C
Q=635J
C=(4.8 J)/(g×°C)
Here, we want to do is rearrange the equation to solve for m and this can be done by dividing both sides by C and ΔT to get m by itself like this:
m=Q/(ΔT×C)
Now, we want to substitute all the given values in the above formula, we get
m=635J/(3°C×(4.8J/(g×°C)))
m=635J/(14.4J/g)
m=44.09g.
Hence, the mass of water will change its temperature by 3.0 °C when 635 J of heat is added to it 44.09g.
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order these following rational numbers from greatest to least:
25% -0.17 3/5 -1/12 12
Answer:
12, 3/5, 25%, -1/12, -0.17
Step-by-step explanation:
The simplest way to do this is to convert all of the numbers into either a fraction, decimal, or a percentage. In my opinion, it is easier to use a percentage here.
25% is already a percentage
-0.17 = -17%
3/5 = 60%
-1/12 (you can use a calculator to divide and find the percentage here) = -8.33
12 = 1200%
Now that the rational numbers are all in the same unit, it is easier to sort them. In the end, we get this list (from greatest to least):
12, 3/5, 25%, -1/12, -0.17
FINAL ANSWER: 12, 3/5, 25%, -1/12, -0.17
is 9.02 x 10-8 larger than 9.02 x 10-6
Answer:Yes 90.2 x 10-8 is greater then 90.2 x 10-6
Step-by-step explanation:
Select all pairs of numbers that have a least common multiple of 30.
Answer:
5 and 6, 3 and 10
Step-by-step explanation:
that's all I can think of
Directions: Use the distributive property to multiply the following binomials. Write your answer in standard form!
a.) (x+5)(x-2)
Answer:
x^2 +3x -10
Step-by-step explanation:
(x+5)(x-2)
x^2 +5x -2x -10
x^2 +3x -10
Evaluate.
(-7) + (-14)=
Answer: -21
Step-by-step explanation: hope you have a good day
−7−14=−7+−14=−21
what's the area of the triangle
Answer:
32 is it
Step-by-step explanation:
HELP ME
your revenue function is f(x) = 3x. How does this affect your profit for 100 downloads?
Answer:
It affects it by profit for 100 downloads is for $90 greater.
Step-by-step explanation:
Profit - 90% * revenue - 50
p(x) - 0.9 * f(x) - 50
=0.9 * 3x - 50
=2.7x - 50
Now find the profit for 100 downloads: p(100) = 2.7 * 100 - 50 =220
220 - 130 = 90
What lines would you use to solve –3x – 2 = 2x + 8? Graph the line for the left side of the equation. Graph the line for the right side of the equation.
Answer:
See attached graph for lines
Left side line is y = -3x-2
Right side line is y = 2x + 8
Point of intersection is at (-2,4)
Step-by-step explanation:
The line graphs are attached
The solution for (x, y) is the point of intersection of the two lines
This is at point (2,4)
We can also solve this algebraically by solving first for x and then y
–3x – 2 = 2x + 8
The two line equations are
y = -3x - 2 and y = 2x+8
3x – 2 = 2x + 8
==> 3x -2x - 2 = 2x-2x + 8 (subtract 2x on both sides)
==> -5x -2 = 8
==> -5x -2 + 2 = 8 + 2 (add 2 on both sides to isolate the x term)
==> -5x = 10==> -5x/5 = 10/5 (divide by 5 both sides)
==> x = -2
Plug this value of x into the RHS giving
y = 2(-2) + 8 ==> y = -4 + 8 ==> y = 4
So (-2,4) is the point of intersection of the two lines and is consistent with the point of intersection on the graph
What's the Gcf of 16,44, and 28 (greatest common factor)
Answer:
4
16 / 4 = 4
44 / 4 = 11
28 / 4 = 3
easy
Fact that the ratio of 0.75 to 0.375 is a small whole number is an illustration of?
The fact that the ratio of 0.75 to 0.375 is a small whole number is an illustration of "Law of Multiple Proportions."
What is Law of Multiple Proportions?When two elements combine to form and over one compound, the weights with one element which combine with such a fixed weight of the second are in a ratio of small whole numbers, according to the law of multiple proportions.
Some key features regarding the Law of Multiple Proportions are-
There are five distinct nitrogen oxides, for example, and the weights of oxygen in mixture with 14 grams of nitrogen are, in ascending order, 8, 16, 24, 32, and 40 grams, or in a ratio of 1, 2, 3, 4, 5. The English chemist John Dalton announced the law in 1803; its verification for a broad range of compounds delivered to be the most powerful evidence in favor of Dalton's theory that matter is made up of indivisible atoms.To know more about Law of Multiple Proportions, here
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The complete question is-
Carbon monoxide can be broken down into carbon and oxygen in a mass ratio of 3:4 or 0.75. Carbon dioxide can be broken down into carbon and oxygen in a mass ratio of 3:8 or 0.375. The fact that the ratio of 0.75 to 0.375 is a small whole number is an illustration of
Select the graph of the solution. Click until the correct graph appears.
|x| = 1
Answer:
It's the graph with two dots and no area marked, first image (for me).
Step-by-step explanation:
|x| = 1 means "the distance from x to the 0 point on the axis is exactly 1". There's only 2 numbers x that satisfy that condition: -1 and 1
The second and third image both show an area marked, so it cannot be the right answer, while the first image shows precisely two numbers: -1 and 1
Chad will have new carpet put on the rectangular floors of two rooms in his house. One floor is 12 1/2 feet long, and
the other floor is 15 3/4 feet long. Each floor has a width of 10 feet.
What is the total area in square feet of the new carpet?
A 125 ft²
B 157.5 ft²
©282.5 ft²
96.5 ft²
Answer:
c) 282.5 ft²
Step-by-step explanation:
Formula we use,
A = L × W
The area of one floor will be,
→ 12 1/2 × 10
→ 25/2 × 10
→ 250/2
→ 125 ft²
The area of another floor will be,
→ 15 3/4 × 10
→ 63/4 × 10
→ 630/4
→ 157.5 ft²
Total area of the new carpet is,
→ 125 + 157.5
→ 282.5 ft²
Hence, the total area is 282.5 ft².
If One floor is 12 1/2 feet long, and the other floor is 15 3/4 feet long. Each floor has a width of 10 feet. Then total area of new carpet is 282.5 ft²
What is Area of Rectangle?The area of Rectangle is length times of width.
Given that new carpet put on the rectangular floors of two rooms in his house.
One floor is 12 1/2 feet long
Second floor is 15 3/4 feet long.
Width is given by 10 feet.
We know that area of rectangle is
Area = Length × Width
The area of one floor will be,
12 1/2 × 10
25/2 × 10
250/2
125 ft²
The area of another floor will be,
15 3/4 × 10
63/4 × 10
630/4
157.5 ft²
Total area of the new carpet is,
125 + 157.5
282.5 ft²
Hence, the total area of new carpet is 282.5 ft².
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I need help on this one question, anyone know the answer?
PLS ANSWER ALL OF THE QUESTIONS IN ORDER
The the required value of function of the expression when x equal to 5 i.e f(5) is 167.
What is function?A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given:
The given expression is
f(x) =[tex]7x^{2} -8[/tex]
We have to find the value of f(5).
According to given question we have
f(x) =[tex]7x^{2} -8[/tex]
Put the value of x= 5 in the given function we get,
f(x) =[tex]7x^{2} -8[/tex]
f(5) =[tex]7(5)^{2} -8[/tex]
After simplifying we get
f(5)=167
Therefore, the required value of function of the expression when x equal to 5 i.e f(5) is 167.
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In a shipment of 62 vials, only 14 do not have hairline cracks. if you randomly select 3 vials from the shipment, what is the probability that all 3 of the selected vials have hairline cracks?
The probability that all three of the selected vials have hairline cracks = 0.096
Total number of vials in the shipment = 62
Number of vials with hairline cracks = 14
Number of vials without hairline cracks = 48
Three from 62 vials are selected.
So total outcomes = 62C3
Number of possible outcomes for all 3 of selected vials have hairline cracks = 14C3, which is the number of favorable outcomes
Probability that all three of the selected vials have hairline cracks = Number of favorable outcomes/Total outcomes = 14C3/62C3 = 0.096
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Long division 1,755 divided by 27
Answer:
65
Step-by-step explanation:
