The requried match to the expression is given as,
x²+ 2x + 2 (x + 1 + i ) (x + 1 − i)
x² - 4x + 8 (x − 2 + 2i)(x − 2 − 2i)
x² + 4 (x + 2i)(x − 2i)
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
1. expression,
= x²+ 2x + 2
Simplifying the above expression,
= x²+ 2x + 2
We know that,
x = -b ± √{b² - 4ac} / 2a
x = -2 ± √(4 - 8)/2
x = -1 ± i (i = √-1)
So,
The factored form of the given expression is given as,
= (x + 1 + i ) (x + 1 − i)
Similarly,
x² - 4x + 8 = (x − 2 + 2i)(x − 2 − 2i)
x² + 4 = (x + 2i)(x − 2i)
Thus, following the pattern of each expression to its equivalent standard form can be determined.
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1/2 • 2^3x = 1/24 - 3x
what’s the answer for solving the variable. Thx
Answer:
To solve for x in this equation, you will need to use algebraic techniques such as combining like terms, using the distributive property, and applying the properties of exponents. Here are the steps to solve for x:
Start by isolating x on one side of the equation by moving all the other terms to the other side.
Next, use the properties of exponents to simplify the left side of the equation:
1/2 • 2^3x = 1/2 • 8x = 4x
Next, combine like terms on the right side of the equation: 1/24 - 3x
Now you can set the two sides of the equation equal to each other and solve for x:
4x = 1/24 - 3x
4x + 3x = 1/24
7x = 1/24
x = 1/24 * 1/7
x = 1/168
So the answer for solving the variable is x = 1/168
dado un conjunto de datos cualquiera, ¿cuál será la fracción mínima de tales datos que se hallará dentro de 2.56 desviaciones estándar?
The minimum fraction of data contained within 2.56 standard deviations is about 99.7%, meaning that 99.7% of the data will be contained within 2.56 standard deviations.
The minimum fraction of the data that fall within 2.56 standard deviations is approximately 99.7%. This means that 99.7% of the data will be contained within 2.56 standard deviations, where a standard deviation refers to the typical variation in data distribution. This is because the data typically follow a Gaussian distribution, which means that 68.2% of the data will be included within an expected deviation, 95.4% will be contained within two expected deviations, and 99.7% will be contained within three expected deviations. This relationship makes it possible to determine the minimum fraction of the data included within the standard deviation of 2.56.
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of a group of patients having injuries, 28% visit both a physical therapist and a chiropractor while 8% visit neither. say that the probability of visiting a physical therapist exceeds the probability ofvisiting achiropractor by 16%. what is the probability of a randomly selected person from this group visiting a physical therapist?
The probability of a randomly selected person from this group visiting a physical therapist will be 68.
In a group of patients having injuries, 28% visit both a physical therapist and a chiropractor while 8% visit neither
A = Visiting a physical therapist
B = Visiting a chiropractor
The probability of visiting a physical therapist exceeds the probability of visiting a chiropractor by 16%.
Pr(A union B)' = .08
Pr(A union B) = 1 - .08 = .92
Pr(A intersect B) = .28
Pr(A) = Pr(B) + .16
Pr(A union B) = Pr(A) + Pr(B) - Pr(A intersect B)
.92 = [Pr(B) + .16] + Pr(B) - .28
.92 = 2Pr(B) - .12
1.04 = 2 Pr(B)
.52 = Pr(B)
Since, Pr(A) = Pr(B) + .16 then P(A) = .52 + .16 = .68.
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HELP ME PLEASE ASAP!!!!!!! Jaden is signing up for two hotels. Hotel Wonderland rewards 325 points for signing up plus 31 points for every stay. Hotel Tropicana rewards 344 points for sign-up plus 22 points for every stay. If Jaden books a certain number of stays, the points she earns with either hotel will be the same. A. How many stays will that be? B. How many points will she get?
The number of stays required for Jaden to have the same points in either hotel is 2. 11 stays
The number of points is 390 points
How to find the points ?Assuming that the number of stays is denoted as x, the number of total points from Hotel Wonderland is:
= 325 + 31 x
The points from Hotel Tropicana is:
= 344 + 22 x
The number of stays therefore, that would make the points in either hotel equal is:
325 + 31 x = 344 + 22 x
31 x - 22 x = 344 - 325
9 x = 19
x = 19 / 9
x = 2. 11 stays
The number of point Jaden will get is:
= 344 + 22 ( 2. 11)
= 390 points
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Joaquin takes the bus to and from school each day. he recorded the number of people on the bus when he got on the bus each morning and the number of people on the bus when he got off the bus each afternoon for 5 days. His data is shown on the coordinate plane below.
Based on the information on the graph, it can be inferred that the correct equation is y = 0.8x - 0.3, because if we replace the value of x with the different values shown on the graph, the position of the point coincides.
How to identify the correct equation?To identify the correct equation we must analyze the information in the graph. Once we analyze this information we can find the correct equation.
However, one way to check which is the correct equation is by substituting the value of x in all the equations until you find the one that gives a result with the correct values. According to this procedure, the correct option would be option B, as shown below:
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A cylindrical tube must hold between 300 and 350 cubic centimeters of
sand. The diameter of the tube is 6.6 cm. How tall is the tube?
Sort the following to show those heights that would produce a volume
in the desired range, those that produce a volume that is below the
desired range, and those that produce a volume greater than the desired range.
The given heights of the cylinder are arranged as follows:
heights that would produce a volume in the desired range are: 8.9 cm. 10.1 cm, 9.5 cm, and 9.3 cmheights that produce a volume that is below the desired range are: 8.1 cm and 8.4 cmheights that produce a volume greater than the desired range are: 10.9, and 11.3What is the required height of the given cylinder?The volume of a cylinder is given by the formula below:
V = πr²h
where;
V is the volume of the cylinder
π = 22/7
r is radius; r = diameter/2
h is height
The volume of the cylinder is between 300 and 350 cubic centimeters.
For the 300 cm³ cylinder
h = v/πr²
r = 6.6/2 or 3.3 cm
h = 300/(22/7 * 3.3)
h = 8.7 cm
For the 350 cm³ cylinder
h = v/πr²
r = 6.6/2 or 3.3 cm
h = 350/(22/7 * 3.3)
h = 10.2 cm
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The ratio of one-dollar coins to fifty-cent coins in a box was 3:4. 6 one-dollar coins were removed, and some fifty-cent coins of the same amount were added. The ratio of one-dollar coins to fifty-cent coins then became 1:3. What was the total amount of money in the box?
please also show work :)
We can start solving the problem by using algebra. Let x be the original number of one-dollar coins in the box, and y be the original number of fifty-cent coins. Then, based on the given information, we know that:
x:y = 3:4 (original ratio)
x-6:y+z = 1:3 (new ratio)
Where z is the number of fifty-cent coins added.
Now we can use the first equation to find x in terms of y.
x:y = 3:4
x = 3y/4
Now we can substitute x = 3y/4 into the second equation.
(3y/4 - 6) : (y + z) = 1:3
Now we can cross-multiply and simplify the equation to get:
3y/4 - 6 = y + z
3y - 8y = 12 + 4z
-5y = 12 + 4z
y = -12/5 - 4z/5
Now we can use this value of y to find the value of x.
x = 3y/4
x = 3(-12/5 - 4z/5) / 4
x = -9/5 - 3z/5
Now we can use the value of x and y to find the total amount of money in the box.
x + y = (-9/5 - 3z/5) + (-12/5 - 4z/5)
x + y = -21/5 - 7z/5
We know that the number of dollars is equal to the number of one dollar coin, the number of fifty cents is equal to the number of fifty-cent coins, so the total amount of money in the box is:
x + y = -21/5 - 7z/5 = -21/5100 - 7z/550 = -2100-35z
We don't know the value of z so we can't calculate the exact amount of money in the box.
voter preferences: a pollster wants to sample 500 votes in a town to ask them who they plan to vote for in an upcoming election. describe a sampling method that would be appropriate in this situation. explain your reasoning.
A simple random sample of 500 voters would be an appropriate method for a pollster to use in this situation.
In this method, each voter in the town is assigned a unique identifier and a list of all unique identifiers is created. Then, using a random number generator or a random number table, 500 unique identifiers are selected and those individuals are surveyed.
Random Voter Poll MethodThis method ensures that each voter in the town has an equal chance of being selected, so that the sample is representative of the population of voters. It also eliminates any potential biases that may be introduced if the pollster were to select individuals based on certain criteria (such as age, gender, or location).
By using a random sample, the pollster can have a good estimate of the true population parameter (voter preferences) with a high degree of confidence.
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what does x • 1 + x/1= equal
Which associations best describe the scatter plot?
Select each correct answer.
Positive association
ONegative association
0
Nonlinear association
O Linear association
(ft)
Distance i
651
14
13
2109
11
876543
3
2
1
0
e
Distance vs. Time
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Time (min)
Answer:
It is negative an nonlinear. If you could only select one, I would select negative.
Step-by-step explanation:
It is nonlinear because it is not a straight line. It is negative because as the x value increases, the y value decreases.
A linear function f models a relationship in which the dependent variable increases 2 units for every 3 units the independent variable decreases. The value of the function at x=0 is -1
The required function for the given situation is -3 = x.
What is function?A function is a type of rule that produces one output for a single input. Source of the image: Alex Federspiel. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.
According to question:-2/3 = -2/3 is the slope.
It is the y-intercept (0, -1)
The x-intercept is the value of x when f(x) = 0, and we can use this knowledge to build an equation for the function and get it:
f(x) = -2/3x - 1
f(x) = -2/3x -1
0 = -2/3x - 1
2 = -2/3x
-3 = x
It is the x-intercept (-3,0)
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High density lipoprotein (HDL) is sometimes called the "good cholesterol" because low values are associated with a higher risk of heart disease. According to the American Heart Association, people over the age of 20 years old should have at least 40 milligrams per deciliter (mg/dl) of HDL cholesterol. U.S. women aged 20 and over have a mean HDL of 55 mg/dl With a standard deviation of 15.5 mg/dl. Assume that the distribution s Normal
(a) What percent of women have low values of HDL (40 mg/dl or less)?
(b) HDL levels of 60 mg/dl and higher are believed to "protect" people from heart disease. What percent of women are "protected" from heart disease?
(c) Women with more than 40 mg/dl but less than 60 mg/dl of HDL are in the intermediate range, neither very good nor very bad. What proportion is in this category?
(d) What is the 75th percentile of the distribution of HDL for women?
(e) U.S. men aged 20 and over have a mean HDL of 46 mg/dl with a standard deviation of 13.6 mg/dl. Assuming that the distributions are Normal, sketch a graph of the distributions of HDL for men and women on the same axis, clearly labeling which is which.
(f) What percent of men have low values of HDL (40 mg/dl or less
The percent of women have low values of HDL (40 mg/dl or less) is 1.03%.
High density lipoprotein (HDL) is an important factor in determining the risk of heart disease.
(a) The formula for z-score is (x - mean) / standard deviation. Using this formula, we can calculate the z-score for 40 mg/dl as
=> (40 - 55) / 15.5 = -1.03.
(b) The standard normal table shows that approximately 40% of women have a z-score of 0.32 or higher. Hence, we can conclude that approximately 40% of women have "protective" levels of HDL.
(c) We know that approximately 13.5% of women have a z-score of -1.03 or lower and approximately 40% of women have a z-score of 0.32 or higher. Hence, the proportion of women in the intermediate range is
=> 100% - (13.5% + 40%) = 46.5%.
(d) We can then convert this z-score back to the HDL level using the formula
=> x = mean + z-score * standard deviation.
Hence, the 75th percentile of the distribution of HDL for women is
=> 55 + 0.94 * 15.5 = 63.3 mg/dl.
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With line, = ax.plot(x, y), how can you change the width of the line? A.ax.plot(x, y, lw=2) B.plt.setp(line, lw=2) C.line.lw = 2D
Using ax.plot(x, y, lw=2), where lw stands for line width and the value represents the desired line width, you can modify the line's width.
Ax.plot(x, y, lw=2), where lw stands for line width and the number after it denotes the desired line width, can be used to alter the line width. This gives you the option to change the line width to suit your tastes. For instance, you can set lw=4 to create a thicker line and lw=1 to create a thinner line. When you want to plot several lines on the same plot, each with a different width, this command is quite helpful. It can sometimes be helpful to make some lines thicker than others in order to emphasis them. Additionally, you can design aesthetically pleasing plots with regular line widths with this command.
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A line contains the points (-4, 2) and (-4, 6). The line is translated 3 units to the right and 2 units down. What are the new points on the translated line? The new point for (-4, 2) is: () The new point for (-4, 6) is: ()
The new points after the translation are (1, 0) and (1, 4)
What are the new points on the translated line?A translation of 3 units to the right and 2 units down, applied to a general point (x, y), gives:
(x + 3, y - 2)
Here we know that one line passes through the points (-4, 2) and (-4, 6). (so this is a vertical line)
If we apply the translation, we will get:
(-4 + 3, 2 - 2) = (1, 0)
(-4 + 3, 6 - 2) = (1, 4)
These are the new points of the line.
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work out 3 1/7 x 2 1/2
The multiplication of the mixed fraction results in 9 3/7.
Multiplication of mixed fractions.A mixed fraction consists of a whole number together with its fractional part. It fractional part is known as an improper fraction which has a numerator and a denominator.
To solve the mixed fraction, we need to change the mixed fraction to an improper fraction, we have:
= ( (7*3) + 1)/7 × ((2*2) + 1)/2
= 21 +1)/7 × 5+1)/2
= 22/7 × 6/2
= 11/7 × 6/1
= 66/7
Converting from improper fractions back to whole numbers, we have:
= 9 3/7
Therefore, the multiplication of the mixed fraction results in 9 3/7.
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If A is the set of prime numbers less than 15, and g is the set of odd positive integers, what is A n B? {1, 2, 3, 5, 7, 9, 11, 13} {2, 3, 5, 7, 11, 13} {3, 5, 7, 11, 13} {1, 3, 5, 7, 11, 13}
The A ∩ B is = {3, 5, 7, 11, 13}
The correct option is (C)
Now, According to the question:
Prime Numbers:
A prime number is any positive integer greater than one whose factors are one and the number itself. If a number is not prime it is called a composite number or simply composites.
Odd positive integer:
An odd number is an integer which is not a multiple of 2. If these numbers are divided by 2, there will be a remainder left. In the number line, 1 is the first positive odd number.
Now, Solving the problem :
If A is the set of prime numbers less than 15, and g is the set of odd positive integers,
To find the A ∩ B
A = {2, 3, 5, 7, 11, 13}
B = {1, 3, 5, 7, 9, 11, 13, 15 }
Then, Intersection means (∩)
The intersection of a set A with a B is the set of elements that are in both set A and B. The intersection is denoted as A∩B.
A ∩ B = {3, 5, 7, 11, 13}
Hence, The A ∩ B is = {3, 5, 7, 11, 13}
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Given the function f:[−π4,π4]→[−1,1];f(x)=sinx , check which one(s) of the properties it has.
A. injective
B. strictly increasing
C. decreasing
D. surjective
E. strictly decreasing
F. increasing
G. None of the above
please explain
The function f possesses the characteristics of injectivity, strict increase, and surjectivity. It lacks the characteristics of rigorously increasing, decreasing, or decreasing.
Because it is one-to-one, or that there is only one matching y-value for each given x, the function f(x) = sinx is injective. Because the associated y-values rise monotonically for any two x-values, it is also strictly increasing. Additionally, it is surjective because the full [-1, 1] range of the function is covered by its range. Since its values don't always fall or rise linearly, it lacks the characteristics of rigorously decreasing, decreasing, or increasing.
The function f:[4, 4][1, 1];f(x)=sinx has a number of significant characteristics. It is one-to-one since it is injective. This implies that there is only one matching y-value for every possible value of x. Additionally, it is strictly growing, which means that the related y-values rise monotonically for any two x-values. This indicates that the function is not always linear in its increase or decrease. The function is also surjective because its range includes the entire [-1, 1] range of the function. This indicates that the function can produce any value between -1 and 1.
Since the values of the function do not necessarily drop or rise linearly, it does not possess the characteristics of strictly decreasing, decreasing, or increasing. This distinguishes the function from others and enables a wide range of applications.
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What are the answers?
I need it now…please help me
Use a tangent line approximation at (8, 1) to estimate the value of y when x = 7. ans: y≈ 3/ 2.
what is predicted value?
For any given value of X, we go straight up to the line, and then move horizontally to the left to find the value of Y. The predicted value of Y is called the predicted value of Y, and is denoted Y'. The difference between the observed Y and the predicted Y (Y-Y') is called a residual.Predicted Value. In linear regression, it shows the projected equation of the line of best fit. The predicted values are calculated after the best model that fits the data is determined. The predicted values are calculated from the estimated regression equations for the best-fitted line.The predicted value of y (" ") is sometimes referred to as the "fitted value" and is computed as y ^ i = b 0 + b 1 x i .To learn more about predicted value refers to:
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Thomas gets paid $21.75 for every hour he works up to 40 hours per week. For the hours he works over 40 hours, he earns an additional $6.50. If Thomas worked 52 hours this week, how much will he earn for the week? do you guys know the answer to this?
Answer: $928.5
Step-by-step explanation: So, you multiply 21.74x40 and add that with 6.50 and then add that with 52 and you get your answer. and you should get .928.5
Disney held a breakfast for parents and their children to eat with Mickey Mouse. Adult tickets cost $17.95 and children's tickets cost $12.95. Disney made $735 from ticket sales from a total of 500 people that attended. How many children were at the breakfast?
Answer:
Children attended x = 324
Adults attended y = 176
Answer:
There are 324 children that attended and 176 adults
Lukas wants to create a triangle with sides measuring 9 in., 13 in., and 15 in. He says that more than one triangle is possible given these side lengths. Which statement about Lukas’s claim is true?
Lukas is incorrect. The side lengths satisfy the triangle inequality rule so one unique triangle can be drawn.
Lukas is incorrect. The side lengths do not satisfy the triangle inequality rule so no triangles can be drawn given these side lengths.
Lukas is correct. The side lengths satisfy the triangle inequality rule so multiple triangles can be drawn.
Lukas is correct. The side lengths do not satisfy the triangle inequality rule so multiple triangles can be drawn.
special right triangle
Due to the equal sides of the equilateral triangle, a = 6[tex]\sqrt{3}[/tex] and b = 6[tex]\sqrt{3}[/tex] how it is shown in figure 60°, 60°.
what is triangle ?Because that it has three sections and three vertices, a triangle qualifies as a polygon. It belongs to the fundamental geometric shapes. Triangle ABC is the term used to refer to a triangle with the points A, B, and C. Once the three factors are not collinear, a unique plane composite triangle from Euclidean geometry are discovered. Triangles are polygons because they have three sides or three corners. The points where the four structures of the triangle converge are referred to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.
given
as shown in the figure
∠60° , ∠60° and side 6[tex]\sqrt{3}[/tex]
Due to the equal sides of the equilateral triangle, a = 6[tex]\sqrt{3}[/tex] and b = 6[tex]\sqrt{3}[/tex] how it is shown in figure 60°, 60°.
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Solve the following inequality, 8 < 2(7-g), representing the solution on a number line.
Answer:
To solve the inequality 8 < 2(7-g), we first need to simplify the right side of the inequality.
2(7-g) = 2 * 7 - 2 * g = 14 - 2g
Now we can compare the left and right sides of the inequality:
8 < 14 - 2g
To isolate g, we'll add 2g to both sides:
8 + 2g < 14
2g < 6
To divide by 2, we'll divide both sides by 2:
g < 3
So the solution to the inequality is g < 3, which can be represented on a number line as:
(negative infinity, 3)
So the values of g that satisfy the inequality are any real number less than 3.
Step-by-step explanation:
Answer:
g < 3
Step-by-step explanation:
8 < 2(7 - g)
8< 14 - g
-6 < -g
g < 3
On a number line, because there is no equal, so this will be an open circle to the left of 3.
Evaluate {( 6
7
)
3
}
2 X {( 6
7
)
2 }
2 ÷
36
49
and express it as a power of 2.
Answer:
(−14)
3
1
Step-by-step explanation:
(i) (−4)
5
÷(−4)
8
=
(−4)
8
(−4)
5
=(−4)
5−8
=(−4)
−3
=
(−4)
3
1
(ii) (
2
3
1
)
2
=
2
3×2
1
=
2
6
1
(iii) (−3)
4
×(
3
5
)
4
=(−1)
4
×(3)
4
×(
3
5
)
4
=(−1)
4
×5
4
=5
4
(iv) (3
−7
÷3
−10
)×3
−5
=(
3
−10
3
−7
)×(3)
−5
=3
−7+10
×3
−5
=3
3−5
=3
−2
=
3
2
1
(v) 2
−3
×(−7)
(−3)
=
2
3
1
×
(−7)
3
1
=(
2×(−7)
1
)
3
=
(−14)
3
1
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The equations in this system were added to solve for y. What is the value of y?
x + 6 y = 10. Minus x + 3 y = negative 15. Equals 9 y = negative 5.
The equations in this system were added to solve for y. What is the value of y?
x + 6 y = 10. Minus x + 3 y = negative 15. Equals 9 y = negative 5.
y = Negative StartFraction 5 Over 9 EndFraction
y = Negative StartFraction 9 Over 5 EndFraction
y = StartFraction 9 Over 5 EndFraction
y = StartFraction 5 Over 9 EndFraction
The solution is Option A.
The system of equations is solved and the value of y = -5/9
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first equation be represented as A
Now , the value of A is
x + 6y = 10 be equation (1)
Let the second equation be represented as B
Now , the value of B is
-x + 3y = -15 be equation (2)
On simplifying the equations , we get
Adding equation (1) and equation (2) , we get
6y + 3y = 10 - 15
9y = -5
Divide by 9 on both sides of the equation , we get
y = - ( 5/9 )
Substitute the value of y in equation (1) , we get
x - 30/9 = 10
Adding 30/9 on both sides of the equation , we get
x = 10 + 30/9
x = 120/9
Hence , the value of x and y are 120/9 and -5/9 respectively
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3. True or false: the table represents a function.
a. True
b. False
X
2
4
6
8
10
y
1
3
3
4
6
Each function is a rule, hence each function table includes a rule describing the relationship between the inputs and outputs.A function shall be represented by option (a) table.
How can I determine which table corresponds to a function?Check to see if a list of input and output values is a function.
Establish the input and output values.
Check that each input value corresponds to a single output value.
The table then serves as a function.
Each function is a rule, hence each function table includes a rule describing the relationship between the inputs and outputs.
Sometimes the best way to communicate a rule is verbally, and other times the best way is mathematically.
Given the tables,
Choice B
The same input as -2, but two unrelated results.
Choice C
Although there are five different outputs, the input of -5 is not conceivable.
Choice D
Using the same input as 30 but producing two different results is not feasible.
i.e.,while we can have different inputs and the same output, there is only one output for each input.
As a function, Option (A) is the appropriate response.
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True : The values of x and y shows that for 2 values of x there is only 1 value of y that is the function not linear but can be a function.
What is a function ?Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it may take as input. After we enter an x value, the function outputs this sequence of values.
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it may take as input. After we enter an x value, the function outputs this sequence of values.
The x = 2,4,6,8,10
for y = 1,3,3,4,6
The values of x and y shows that for 2 values of x there is only 1 value of y that is the function not linear.
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Ira joins a bowling team.
The first week, she bowls 3
games to determine her average.
Her scores are 138
, 128
, and 151
.
What is Ira's mean score?
Answer:
139
Step-by-step explanation:
[tex]\frac{138+128+151}{3}[/tex]
[tex]\frac{417}{3}[/tex]
139
the expression x^3/2 x square root of x can be expressed in the form of x^a , where the value of a is
The expression can be expressed in the form of x².
The value of a is 2.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is a number used before a phrase.
Given:
We have an expression,
[tex]x^{3/2}[/tex]×√x.
Simplifying,
[tex]x^{3/2}[/tex]×√x,
= [tex]x^{3/2} x^{1/2}[/tex]
= [tex]x^{3/2+1/2}[/tex]
= [tex]x^{2}[/tex]
Therefore, the value of a is 2.
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WHATS THE RATEE?????
Answer:
[tex]2[/tex]
Step-by-step explanation:
Rate of change = [tex]\frac{change}{change} \frac{y}{x}[/tex]
[tex]\frac{change}{change} \frac{y}{x} = slope[/tex]
[tex]slope = \frac{y2-y1}{x2-x1}[/tex]
[tex]y2 = 5, y1 =3, x2=1, x1 =0[/tex]
(left of the table is x, right of the table is y)
[tex]\frac{5-3}{1-0}[/tex] [tex]=slope[/tex]
[tex]\frac{2}{1}[/tex] [tex]=slope[/tex]
[tex]2 = slope=rate[/tex] [tex]of[/tex] [tex]change[/tex]
Last week, Ivan drove d miles. This week, he drove 178 miles. Using d, write an expression for the total number of miles he drove in the two weeks.
Step-by-step explanation:
you add d+178=d178
and the answer is d178
