Answer:
f(g(x)) = 9x² - 6x + 1
Step-by-step explanation:
We are told that:
• [tex]f(x) = x^2[/tex]
• [tex]g(x) = 3x -1[/tex].
In order to find [tex]f(g(x))[/tex], we have to replace [tex]x[/tex] in the definition of [tex]f(x)[/tex] with the definition of [tex]g(x)[/tex]. In other words, [tex]3x -1[/tex] has to be the input for [tex]f(x)[/tex]:
[tex]f(g(x))[/tex] = [tex]f(3x -1)[/tex]
⇒ [tex](3x - 1)^2[/tex]
⇒ [tex]9x^2 - 6x + 1[/tex]
Therefore, f(g(x)) = 9x² - 6x + 1.
The Sports Brand Company is making a new shoe that has a wholesale price of $60,
and it wishes to advertise a retail price of $150. What is the markup percentage?
Give answer to nearest whole percent.
The mark up percent on the retail price is 150%.
How to calculate the percentage?Since the Sports Brand Company is making a new shoe that has a wholesale price of $60,
and it wishes to advertise a retail price of $150,the markup will be:
= $150 - $60
= $90
Therefore the markup percentage will be:
= Mark up/ Original price × 100
= 90/60 × 100
= 3/2 × 100
= 150%
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Can somebody help me if you know what this is
Answer:
(d) 7/25 -(24/25)i
Step-by-step explanation:
You want the value of 4-3i divided by its conjugate.
ConjugateThe conjugate of a sum is the same sum with the sign changed.
conjugate of 4-3i is 4+3i
conjugate of 4+√2 is 4-√2
In algebra, a conjugate is often used when squaring one of the terms will make it "rational" or real (or both). That is because the product of a number and its conjugate is the difference of the squares of the parts of the sum.
(a -b)(a +b) = a² -b²
ApplicationYou want the value of (4-3i) divided by its conjugate. Simplifying that expression will also make use of the conjugate.
[tex]\dfrac{4-3i}{4+3i}=\dfrac{(4-3i)(4-3i)}{(4+3i)(4-3i)}=\dfrac{4^2+2(4)(-3i)+(3i)^2}{4^2-(3i)^2}=\dfrac{(16-9)-24i}{16+9}\\\\=\boxed{\dfrac{7}{25}-\dfrac{24}{25}i}[/tex]
1. For any integer x, x²-x will always produce an even value. True or false?
For any integer x, x²-x will always produce an even value is TRUE in all sense.
As per the question statement, we are given an expression [tex]x^{2} -x[/tex] and asked about the validation of the statement, "For any integer [tex]x[/tex], [tex]x^{2} -x[/tex] will always produce an even value.
Lets first take a positive value say [tex]x=3[/tex], which is an integer also
[tex]x^{2} -x\\=3^{2} -3\\=9-3\\=6[/tex]
which is an even number.
Now lets take a negative value say [tex]x=-7[/tex], which is an integer also
[tex]x^{2} -x\\=7^{2} -7\\=49-7\\=42[/tex]
which is an even number also.
Hence the statement "For any integer x, x²-x will always produce an even value" is TRUE in all sense.
Integer: Set of whole numbers that can be positive, negative and zero as well.Even number: Any number divisible by number 2 is an even number e.g., 2, 4, 6, 8, 0To know more about integers, click on the link given below:
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what is -10 -4 with counters
Answer:
-14
Step-by-step explanation:
When you're subtracting from a negative number you're just adding 2 negative numbers making it go farther from 0.
Evaluate the expression when y =5 and x = 7
4y + x
Answer:
i believe it is 27.
Step-by-step explanation:
since y = 5 and x = 7, what you would do is 5×4+7. which equals 27
The radius of the base of a cylinder is 38 mm and it’s height is 51 mm. Find the surface area of the cylinder in terms of pi.
The surface area of the cylinder is 6764π mm².
Given the radius of the cylinder is 38 mm and
the height of the cylinder is 51 mm.
we are asked to determine the surface area = ?
we know that surface area of a cylinder = 2πrh + 2πr²
given, r = 38 mm
h = 51 mm
substitute the above values to get the surface area.
A = 2πrh + 2πr²
A = 2π(38)(51) + 2π(38)²
A = 2π(1938) + 2π(1444) mm²
A = 3876π + 2888π mm²
A = 6764π mm²
Hence the surface area of the cylinder is 6764 mm² in terms of π.
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FIND THE ERROR Grant read the following axioms for a video game he is playing.
. There are four keys hidden on each level.
Each level ends when the player collects the third key.
.
• The game has 10 levels.
.
From these axioms, Grant concluded:
• to complete the game, he will need to find 30 keys.
.
. there are 40 keys in the game.
• he can collect all 40 keys in the game.
Are Grant's conclusions correct? Explain your reasoning.
Step-by-step explanation:
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6. You and 4 friends purchased ice cream sodas. Tickets cost
$6.85 each. What would be the total cost? How much
change would you receive from $40?
Answer:
total = $27.40, change = $12.60
Step-by-step explanation:
6.85 x 4 = 27.40
40.00 - 27.40 = 12.60
Add 7 x 10−6 and 2.1 x 10−5
Answer:
Step-by-step explanation:
70-6+21-5
64+16
=80
Find the standard form of the equation of the circle with endpoints of a diameter at the points
(3, 6) and (-11, 8).
Answer:
Hello,
Answer: (x+4)²+(y-7)²=50
Step-by-step explanation:
center=((3+(-11) )/2,(8+6)/2)=(-4,7)
radius²=(3-(-4))²+(6-7)²=49+1=50
Equation:
(x+4)²+(y-7)²=50
using the fractions 2/3 and 3/4 describe how to give two fractions common denominators. In terms of math drawings what are you doing when you give fractions common denominators/what stays the same and what changes?
We solely used prime integers to find the prime factorization, giving us the least common denominator for 2/3 and 3/4. Final answer is 12.
What is prime integers?
A prime number is any natural number greater than one that is not the sum of two lesser natural numbers. Any natural number greater than one that is not prime is referred to as a composite number. For instance, the product 1 5 and 5 1 are the only two ways to write the number 5, making it a prime.
If a positive integer's sole factors are one and itself, then it is a prime number if it is greater than or equal to 2.
One approach is to determine the denominators' prime factorization, which are 3 and 4. Three would be prime factorized as 1 x 3 and four as 2 x 2, respectively. We would have 2 x 2 x 3 = 12 if we solely used prime integers to find the prime factorization, giving us the least common denominator for 2/3 and 3/4. Final answer is 12.
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There is a checkbox at the bottom of the exam form that you MUST check prior to submitting this exam. Failure to do so may cause your work to be lost.
Question 1 (Multiple Choice Worth 1 points)
(01.07 MC)
A pair of parallel lines is cut by a transversal.
If m ZA-(6x-3) and m2B-(9x-24)", what is the value of x?
1.4
7.8
13.8
Question 20Multiple Choice Worth 1 point
The value of x is option (B) 7° for the parallel lines that is being cut by a transversal.
We are given a pair of parallel lines that is cut by a transversal.
Also, we are given that
m ∠ A = (6 x - 3)°
m ∠ B = (9 x - 24)°
Also, we know that in parallel lines cut by a transversal, the alternate exterior angles are equal.
So, we get that:
∠ A = ∠ B
(6 x - 3)° = (9 x - 24)°
6 x - 3 = 9 x - 24
9 x - 6 x = 24 - 3
3 x = 21
x = 21 / 3
x = 7°
Therefore, the value of x is option (B) 7° for the parallel lines that is being cut by a transversal.
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HELP PLSSS
THE CORDINATE OF POINT T ARE (2,-14). The midpoint of segment ST is (2,-8). Find the coordinates of point s
Answer: f xc
Step-by-step explanation:
fff eeffffff
9
00
Click and drag to plot a parallel line.
The line will change colors when a parallel
or perpendicular line is drawn accurately.
√
10
-5
4
32
-2
-1
10
8
50
32
2
-1
13
32
-4
10
9
7 00
6
-10
10
co
4
5
6
7
8
9
10
The value of X is represented with a point 4 unit to the left of 0
The x coordinate will be -4 for the expression "a point 4 unit to the left of 0".
We are given an expression:
" a point 4 unit to the left of 0 "
We need to find the value of x coordinate for this expression.
In geometry, a coordinate system is a system that makes use of one or extra numbers, or coordinates, to uniquely decide the placement of the factors or different geometric factors on a manifold which include Euclidean space.
We can write the expression as:
4 unit to the left of 0 will be - 4
So the point becomes:
( - 4 , 0)
So, the x coordinate becomes,
x = - 4
Therefore, the x coordinate will be -4 for the expression "a point 4 unit to the left of 0".
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2 10 points
Sutton's cellphone plan calculates her bill by using the function, b (z) = 0.05x+75, where x is the number of minutes she uses the phone. What is her bill if she uses her
phone for 10000 minutes?
If she uses its phone for 10000 minutes, her cost will be $575.
What is linear equation:The typical form for two-variable linear equations is Ax+By=C. For example, 2x+3y=5 is a common linear equation. It is rather simple to find both intercepts when an equation is stated in this way (x and y).
According to the given data:The function b (z) = 0.05x+75,
value of x = 10000 minutes
Now putting the value of x into the equation we get:
b (z) = 0.05x+75,
b (z) = 0.05(10000)+75,
b (z) = 0.05(10000)+75,
= 500 + 75
b (z) = 575
The bill if she uses her phone for 10000 minutes = 575.
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A carpenter cut the top section of a window frame with a 40º angle on each end. The side pieces each have a 50º angle cut at their top ends, as shown.
Will the side pieces of the frame be parallel?
How do you know?
(Click document to see image)
If a carpenter cut the top section of a window frame with a 40º angle on each end. The side pieces each have a 50º angle cut at their top ends, as shown. Yes the side pieces of the frame will be parallel. How i know is that both side are equal or parallel.
ParallelThe interior angles are the same or equal in measure. On the other hand the sum of the interior angles have to be 180°.
The two side pieces on the right hand and left hand side are equal in measure. The sides can be parallel only if the sum of both side angles is equal to 180°
Let calculate the one side of the interior angle and both side of the interior angle
One side of the interior angle=40º+50º
One side of the interior angle=90°
Both side of the interior angle=90°+90°
Both side of the interior angle=180°
Hence,
The side are parallel because: 180°=180°
Therefore Yes the side pieces of the frame will be parallel. How i know is that both side are equal or parallel.
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In order to solve the equation −3x + 6 = 5, the first step is to
What is the product?
Answer:
yo mom
Step-by-step explanation:
*
A company has learned that by pricing a newly released toy at $7, sales will reach 1500 per day. Raising the price to $9 will cause the sales to fall to 1000 per day. Assume that the
ratio of change in price to change in daily sales is constant and let x be the price of the toy and y be the number of sales
a. Find the linear equation that models the price-sales relationship for this toy. (Hint: The line must pass through (7,1500) and (9,1000)]
b. Use this equation to predict the daily sales of the toy if the price is set at $8.50
a. Find the linear equation that models the price-sales relationship for this toy
(Simplify your answer)
b. Predict the daily sales of the toy if the price is set at $8.50.
toys
(a) The linear equation that models the price-sales relationship for this toy is y = -250 x + 3250 .
(b) The daily sales of the toy if the price is set at $8.50 will be $1125
Slope for two points is given by m = y₂ -y₁ / x₂ - x₁ where ( x₁, y₁) are the coordinate of first point and (x₂, y₂) are the coordinate of second point.The most common variety of linear equations is in slope-intercept kind, that is pictured as y = mx + b where, m is that the slope of the road, b is that the y-intercept , x and y are the coordinates .An equation may be a statement, that has AN equal sign (=) between the pure mathematics expression. Linear equations are the equations of degree one.
(a) Let "x " be the price of the toy and "y" be the number of sales.
Then equation is given by y = mx + c .......(1)
It is given that ($7, 1500 sales/day) and ($9,1000 sales/day).
Using slope formula , for these two points , we get
m = 1000 - 1500 / 9 -7
= -500 / 2
= -250
Putting x = 7 and y = 1500 and m = -250 in equation (1) , we get
1500 = (-250)(7) + c
1500 = - 1750 +c
c = 3250
Putting c = 3250 and m = -250 in equation (1) , we get
y = -250 x + 3250 ........(2)
(b) Put x = 8.50 in equation (2) , we get
y = -250(8.50) + 3250
= -2125 + 3250
= $ 1125
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i’ll give you brainlist please help
Answer:
Option C.
Step-by-step explanation:
It literally shows u how to do it on the chart step by step just add subract then divide lol.
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Determine if the expression 5a²b is a polynomial or not. If it is a polynomial, state
the type and degree of the polynomial.
Yes, it is a polynomial
The degree of the polynomial is 2
and it is a Quadratic polynomial
A polynomial is a mathematical expression that solely uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. It is made up of indeterminates (also known as variables) and coefficients.[tex]x^{2}[/tex]− 4x + 7. is an illustration of a polynomial with a single indeterminate x. Three-variable example: [tex]x^{3}[/tex]+ 2xy[tex]z^{2}[/tex] − yz + 1..
Numerous branches of mathematics and science use polynomials. For instance, they are used to define polynomial functions, which show up in contexts ranging from basic chemistry and physics to economics and social science, and they are used in calculus and numerical analysis to approximate other functions. Polynomial equations are used to encode a wide range of problems, from simple word problems to complex scientific problems.
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Points A, B, C, and D are collinear and positioned in that order. Find the length indicated.
AC=149, BD= 3x+307, BC= 6x+443, AD= 8x + 717. Find BC
If A, B, C, and D are collinear points then the length of BC = 6x +443 is 59.
What are collinear points?A group of three or more points that are located along the same straight line is called collinear points. On separate planes, collinear points may exist, but not on different lines. Collinearity is the quality of two points being parallel to one another. Any three or more points are only considered to be collinear if they are situated along the same straight line. There is only one line that can pass through three locations that are collinear.
Given that A, B, C, and D are collinear points and position in that order.
AC = 149
BD = 3x + 307
BC = 6x + 443
AD = 8x + 717
We can determine the length of AB
AB + BD = AD
AB + 3x + 307 = 8x + 717
AB = 8x - 3x + 717 - 307
AB = 5x + 410
Now, we know that
AB + BC = AC
5x + 410 + 6x + 443 = 149
11x + 853 = 149
11x = -704
x = - 64
Put x= -64 in BC
BC = 6(-64) + 443
BC = - 384 + 443
BC = 59
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A semi-circular transom above a 34 inch door is to contain a stained glass window. If the stained glass
window costs $1.40 per square inch, how much will the window cost?
The cost of the semi-circular transom stained glass window is $107.702.
What is defined as the semicircle?A semicircle is formed when a circle is divided in half along its diameter. The two halves are equal in size.
A semicircle, also known as a half-disk, is a circular sheet plate that has been folded in half. The semicircle has one line of symmetry, which is known as the reflection symmetry. Because the semicircle is half of a 360° circle, the semicircle's arc always measures 180°.Now, for the for given question;
The width of the door is given as 34 inch which is same as the diameter of the semicircle of window.
The radius of the window becomes 34/2 = 17 inches.
Now, the formula for the area of the semicircle is;
A = πr²/2
Where, r is the radius and π = 3.14.
Substitute the values;
A = (3.14)(17)²/2
On simplification
A = 76.93 square inch.
Now, the cost of window glass is $1.40 per square inch.
Thus, for 76.93 square inch.
Rate = 76.93×1.40
Rate = $107.702
Therefore, the cost of the semi-circular transom stained glass window is found to be $107.702.
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help ASAP don't answer just for points, and have an explanation okay? e.x: writing the math out
Answer:
Josh spent $29.87
Step-by-step explanation:
$12.99 + 3.75×4.5 = $29.865 ≈ $29.87
Answer:
Okay, so what you first want to do is is find out what 3.75 times 4 1/2 is. First you can start by transitioning 4 1/2 into decimal form like so:
4.5And then multiply 3.75 times 4.5
3.75*4.5=16.87Then add you quotient to the amount of money that he paid for the flat rate:
12.9916.87 + 12.99 = 26.86Answer = $26.86
Step-by-step explanation:
Martín y Paulina realizan una inversión en acciones con la misma cantidad de dinero. Martín ganó
$ 8.000 y Paulina perdió $ 6.000; de tal manera que la cantidad que le quedó a Paulina es la tercera
parte de lo que le quedó a Martín.
Determine una expresión algebraica que represente la situación planteada.
i said right foot creep owww walking with that heat walk walking around stay low make sure that don't see
A
what fraction equals . 45?
Answer:
9/20
Step-by-step explanation:
0.45 is really 45/100 if you simplify it can only simplify to 9/20 because 9 and 20 don't have a common denominator that will end in two whole numbers
The air temperature at 9am is -5.8 degrees Celsius the air temperature at noon is -1.6 degrees Celsius what change in the temperature during these three hours?
The change in the temperature during these three hours will be -4.2° Celcius.
How to calculate the value?From the information, the air temperature at 9am is -5.8 degrees Celsius and the air temperature at noon is -1.6 degree.
Therefore, the change in the temperature during these three hours will be:
= -5.8 - (-1.6)
= -5.8 + 1.6
= -4.2° Celcius
Therefore, the change in the temperature during these three hours will be -4.2° Celcius.
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After the first rounds of a card game, a persons score is 0 points. The persons score decreased 70 points during their second round. What was the persons score after the first round of the game?
Answer: Its C I just took the test
Step-by-step explanation:
− 24 − (4x − 6) = − 2(− 8 x− 11)
A common wrong answer to this equation is x = − 7/20. This student does not
understand the distributive property. Show steps how a student would get this
answer. Explain in detail what the student did wrong and what they don’t
understand about the distributive property.
please help fast!!!
Answer:
-24 - 4x + 6= 16x + 22
-29 -22 = 16x +4x
-51 = 20x
x= -51/20