The answer is B.
For an expression to be a polynomial term, any variables in the expression must have whole number powers.
-3/x isn’t a polynomial term because the variable is in the denominator.
Answer:
D
Step-by-step explanation:
it only consists of one term.
If f(x)= x^2-1 and g(x)=2x-3, what is the domain of (fog)(x)
Answer:
[tex]\large\boxed{\text{The domain is the set of all real numbes}\to x\in\mathbb{R}}[/tex]
Step-by-step explanation:
[tex]f(x)=x^2-1,\ g(x)=2x-3\\\\(f\circ g)(x)-\text{instead of x in the function equation f(x) put}\ 2x-3:\\\\(f\circ g)(x)=(2x-3)^2-1\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(f\circ g)(x)=(2x)^2-2(2x)(3)+3^2-1=4x^2-12x+9-1\\\\(f\circ g)(x)=4x^2-12x+8\\\\\text{the domain is the set of all real numbes}\to x\in\mathbb{R}[/tex]
The scale of a model car is 1 : 100. The length of the model car is 1.6m. Find, in centimetres, the width of the model car.
Answer:
1600
Step-by-step explanation:
first, 1.6 m is 160 cm.
160 cm is 1 in 1:100
converting the proportion into a fract., it is 1/100.
160=1/100x
1600=x
To find the width of the model car in centimeters, we need to follow a different approach, because the information given doesn't include the width of the actual car or the ratio of length to width. Since only the scale of the model and the length of the model car are given, without additional information about the actual car or its dimensions, we cannot directly calculate the width of the model car.
However, I can explain the general process of how to calculate the width of the model car if the necessary information was provided:
1. **Find the width of the actual car**: If the width of the actual car (in meters or any other units) is given, we could proceed to the next step. Without this information, we cannot continue, so let's assume hypothetically that this information is available.
2. **Convert the width of the actual car to centimeters**: Since the dimensions of the model car are sought in centimeters, we need to convert the actual car's width from meters to centimeters by the following conversion:
\[ \text{width in centimeters} = \text{width in meters} \times 100 \].
3. **Apply the scale ratio**: After converting the actual car's width to centimeters, we need to apply the scale ratio to calculate the width of the model car. The scale is 1:100, which means that one unit of measurement on the model represents 100 of the same units on the actual car.
4. **Calculate the width of the model car**: Divide the width of the actual car in centimeters by the scale ratio (which is 100 in this case) to calculate the width of the model car in centimeters:
\[ \text{width of model car in centimeters} = \frac{\text{width of actual car in centimeters}}{100} \].
If we suppose that the actual car is twice as long as it is wide, and we have the model's length (1.6 m), we could assume that the actual car's length is 160 m (since 1.6 m times the scale factor of 100). With an assumption of the actual car being twice as long as wide, we can deduce that the actual car's width would be 80 m (160 m divided by 2). Converting that to centimeters would be 8000 cm (since 80 m times 100 cm/m). Dividing that by 100 (scale factor) would yield a result of 80 cm for the width of the model car.
However, please note, without the essential information about the actual car's width or its length-to-width ratio, this is just a hypothetical scenario. To proceed with a real calculation, you would need to clarify the actual width of the car or provide the proportional dimensions.
Geometry Question, will give Brainliest, Image attached
Answer:
5 sin 38 should be the length.
I’m pretty sure it’s the last answer. 5 sin 38
Drag the correct steps into order to evaluate 16+j⋅4 for j=8
To evaluate 16+j⋅4 for j=8, substitute j with 8, multiply the result by 4, and add it to 16 to get the final result of 48.
Explanation:To evaluate 16+j⋅4 for j=8, follow these steps:
Substitute the given value of j into the expression. So, replace j with 8 in the expression 16+j⋅4.Perform the multiplication. Multiply 8 by 4 to get 32.Add the result to 16. Add 32 to 16 to obtain the final result.16 + j * 4 = 16 + 8 * 4 = 16 + 32 = 48
After performing these steps, we find that the expression 16+j⋅4 for j=8 is equal to 16+32, which is 48.
Graph the linear equation. Find the three points that solve the equation then plot on the graph. -y=-x+1
Answer:
Step-by-step explanation:
The first step will be to make y the subject of the formula, by multiplying both sides of the equation by -1.
y = x - 1
This is simply the equation of a line with a slope of 1 and y-intercept (0,-1)
To determine the three points that solve the equation, we can let x be;
0, 1, 2
When x =0, y = 0-1 = -1
When x = 1, y = 1-1 = 0
When x = 2, y = 2 - 1 = 1
Therefore, we have the following three sets of points that can be used to graph the given linear equation;
(0, -1)
(1, 0)
(2, 1)
Find the attached for the graph
Which composition of similarity transformations maps A
LMN to AL'M'N'?
a dilation with a scale factor less than 1 and then a reflection
a dilation with a scale factor less than 1 and then a translation
a dilation with a scale factor greater than 1 and then a reflection
a dilation with a scale factor greater than 1 and then a translation
A dilation with a scale factor greater than 1 and then a translation is correct.
How does dilation work?Dilation of a figure will leave its sides to get scaled (multiplied) by the same number. That number is called the scale factor of that dilation.
Its also called scaling of a figure, but due to the involvement of coordinates, it involves a center of a dilation, which is like a pinned point that stays at the same place after dilation.
It's like we enlarge or shorten the size of the figure (or keep it same, when scale factor = 1).
Dilation totally depends on the scale factor.
We need to find the composition of similarity transformations maps A
LMN to AL'M'N'.
If the absolute value of the scale factor is more than 1, then it represents the enlargement and if the absolute value of the scale factor lies between 0 to 1, then it represents the compression.
Therefore, a dilation with a scale factor greater than 1 and then a translation is correct.
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Answer:
D.a dilation with a scale factor greater than 1 and then a translation.
A shoe box measures 15 in. by 7 in. by 4 in.What is the surface area of the box?
Answer:
A=2(wl+hl+hw)
2·(4·7+15·7+15·4)
386
Step-by-step explanation:
Can somebody pls tell me which statement is true ?
Answer:
B
Step-by-step explanation:
Since the probability of an animal being blue isn't affected by the animal having two heads, the two events are independent.
What is the median ??
Answer:
9
Step-by-step explanation:
The median is the middle entry of the data set in ascending order. If there is no exact middle then it is the average of the values either side of the middle.
Arrange the data in ascending order
4, 8, 8, 9, 11, 13, 17
↑
The median = 9
Answer:
9
Step-by-step explanation:
Order the numbers from least to greatest, then find the number that is in the middle. If there are two numbers that are in the middle then add the two numbers together and then divide by 2.
What is the degree of vertex B and G?
Answer:
degree of vertex B = 2
degree of vertex g = 4
Step-by-step explanation:
Using given picture we need to find about what is the degree of vertex B and G.
In graph theory, we know that the degree (or valency) of a vertex of a graph is the number of edges incident to the vertex.
So we just need to count how many edges are incindent on vertex B and G.
From picture we see that number of edges incident on vertex B = 2
Hence degree of vertex B = 2
From picture we see that number of edges incident on vertex G = 4
Hence degree of vertex g = 4
5. Solve (2x - 1)2 = 8 using the quadratic formula.
The solution to the equation by using quadratic formula is [tex]x = \dfrac{1 + 2\sqrt{2}}{2} \ or \ \dfrac{1 - 2\sqrt{2}}{2}[/tex]
Solving quadratic equation using formula.
Quadratic equation can be solved by using the quadratic formula [tex]x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]
The given equation (2x - 1)² = 8 can be written as 4x² - 4x - 7 = 0. where:
a = 4b = -4c = -7Replacing the values into the quadratic formula, we have:
[tex]x = \dfrac{-(-4) \pm \sqrt{(-4)^2 -4(4)(-7)}}{2(4)}[/tex]
[tex]x = \dfrac{4 \pm \sqrt{16 + 112}}{8}[/tex]
[tex]x = \dfrac{4 \pm \sqrt{128}}{8}[/tex]
[tex]x = \dfrac{4 \pm 8\sqrt{2}}{8}[/tex]
Divide the right hand side by 4;
[tex]x = \dfrac{1 \pm 2\sqrt{2}}{2}[/tex]
[tex]x = \dfrac{1 + 2\sqrt{2}}{2} \ or \ \dfrac{1 - 2\sqrt{2}}{2}[/tex]
Y intercept and x intercept definitions
Answer:
"The x-intercepts are where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis."
Step-by-step explanation:
:)
Final answer:
The y-intercept is the point where a graph crosses the y-axis, while the x-intercept is the point where a graph crosses the x-axis.
Explanation:
The y-intercept is the point where a graph crosses the y-axis. It is represented by the coordinate (0, b), where b is the y-coordinate of the intercept. The y-intercept can be found by analyzing the equation of the line y = mx + b, where b is the y-intercept.
The x-intercept, on the other hand, is the point where a graph crosses the x-axis. It is represented by the coordinate (a, 0), where a is the x-coordinate of the intercept. To find the x-intercept, set y equal to 0 in the equation y = mx + b and solve for x.
What is the rate of change in y per unit change in x for the function 30x+5y=15
Step-by-step explanation:
To find the answer you have to put it into y=mx+b format.
This means that it will be 5y=-30x+15
So it will simplify to y=-6x+3
This means that:
If y=2
You substitute then…
2=-6x+3
So x would equal 1/6.
The rate of change in y per unit change in x for the function 30x+5y=15 is 1/6.
What is the rate of change of a linear equation?Suppose that the considered linear equation is of the form y=mx+c
Then, when we change x by 1 unit, then:
[tex]y + \delta y = m(x + 1) + c\\mx + c + \delta y = mx + c + m\\\delta y = m[/tex]
where[tex]\delta[/tex] y shows the change in y as x changes by 1 unit. We found that this change is the value of 'm'. It is called slope of the line this equation represents (each linear equation represents a line).
To find the answer we have to put it into y=mx+b format.
Given the function 30x+5y=15
This means that it will be;
5y = -30x+15
So it will simplify and gives;
y=-6x+3
If y=2
substitute then;
2=-6x+3
x =1/6
Thus x would equal 1/6.
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What is the domain of the function graphed below?
Answer:
Domain is (0,∞)
Step-by-step explanation:
We need to find the domain of the function graphed
Domain are the values of x for which the function is defined.
For domain, we look at the x values of the graph.
We have graph for x values greater than 0. the graph goes close to y axis but does not cross y axis.
For x values greater than 0 there is a value for y.
There is no graph for negative value of x
So , domain is set of all x values greater than 0
Domain is (0,∞)
Which of the following uses the Distributive Property to determine the product 12(185)
Answer:
The answer is D
Step-by-step explanation:
In D, all of the multiplacative parts of the problems add up to the factoring of 185 • 12, and the others don't. I really hope this helps!
Answer:
D. [tex]12\cdot 100 + 12 \cdot 80 + 12 \cdot 5[/tex]
Step-by-step explanation:
A possible solution of the expression is:
[tex]12\cdot (185)[/tex]
[tex]12\cdot (100 + 80 + 5)[/tex]
[tex]12\cdot 100 + 12 \cdot 80 + 12 \cdot 5[/tex]
The right answer is D.
Write an equation of the line that has a slope of 3 and contains the point (2, 5) in point-slope form.
Answer:
y - 5 = 3(x - 2)
Step-by-step explanation:
Point Slope Form: y – y1 = m(x – x1)
y1 represents the y-coordinate
x1 represents the x-coordinate
m represents the slope
Which has the least value 2 2/3,2.45,2 2/5
Answer:
2 2/5
Step-by-step explanation:
First, lets convert these all to decimals.
2 2/3 = 8/3 = 2.66666666.....
2.45 = 2.45
2 2/5 = 12/5 = 2.4
Thus, the smallest decimal here is 2.4, or, 2 2/5.
I hope this helps!
Answer:
the least value is 2 2/5
Step-by-step explanation:
Find the interest earned and the future value of an annuity with annual payments of $1,400 for 18 years into an account that pays 4% interest per year.
Answer:
interest earned= 1436.143
the future value of an annuity= 2836.143
Step-by-step explanation:
Given Data:
Interest rate= 4%
time,t = 18 years
Annual payment, P= 1400
At the end of 18 years, final investment A= ?
As per the interest formula for interest
A= P(1+r)t
Putting the values in above equation
= 1400(1+0.04)^18
= 2836.143
Interest earned = A-P
= 2836.143-1400
= 1436.143 !
Help me answer this question please
Answer:
The answer is C.
Step-by-step explanation:
Just go to Desmos.com and plug it in.
For this case we have:
Let k> 0:
To graph[tex]y = f (x) + k,[/tex] the graph k units is moved up.
To graph [tex]y = f (x) -k[/tex], the graph moves k units down.
Let h> 0:
To graph [tex]y = f (x-h)[/tex], the graph moves h units to the right.
To graph [tex]y = f (x + h),[/tex] the graph moves h units to the left.
So, we have:
[tex]y = f (x) = \sqrt [3] {x}[/tex]
Shifted 1 unit down and 4 to the left means:
[tex]k = 1\\h = 4[/tex]
[tex]y = f (x) = \sqrt [3] {x + 4} -1[/tex]
Answer:
Option D
Find the sum of the absolute deviations of the following data set.
8, 5, 15, 12, 10
Final answer:
The sum of the absolute deviations for the given data set is 14.
Explanation:
To find the sum of the absolute deviations of a data set, you need to find the absolute value of the difference between each data point and the mean, and then add them up. Here is the calculation for the given data set:
Absolute deviations: |8-10| + |5-10| + |15-10| + |12-10| + |10-10| = 2 + 5 + 5 + 2 + 0 = 14
So, the sum of the absolute deviations for this data set is 14.
if you are asked to solve a system of equations in which there is no linear equation to start with, you can sometimes begin by isolating and substituting a variable that is squared in both eqautions. true or false
Answer:
The correct answer option is: True.
Step-by-step explanation:
Its true that if there is no linear equation to start with, you can isolate and substitute a variable that is squared in both the equation.
For example, for the given non linear equation, start by dividing both sides by coefficient of the variable.
Once you do that and isolate a variable, continue solving by substituting that variable into the other equation.
Answer: true
Step-by-step explanation: A pex
Please HELP !!
Each granola bar costs $1 write an expression that shows the total costs of the granola bars using the variable J
Answer:
Expression for the total cost is $1J.
Step-by-step explanation:
Given that each granola bar costs $1.
Now we need to write an expression that shows the total costs of the granola bars using the variable J.
So let's assume that the number of granola bars = J
then total cost of g granola bars = (J)($1) = $1J
Hence required expression for the total cost is 1J dollars.
Ms. Redmon gave her theater students an assignment to memorize a dramatic monologue to present to the rest of the class. The graph shows the times, rounded to the nearest half minute, of the first 10 monologues presented. The next student presents a monologue that is about 0.5 minutes long. What effect will this have on the graph? The median will decrease. The mean will decrease. The median will increase. The mean will increase.
Answer:the awnser is:B the mean will decrease
Step-by-step explanation:
The effect it would have on the dot plot graph is that: B. The mean will decrease.
What is the Mean of a Dot Plot?The mean of a dot plot is found by simply adding up all data points on the dot plot and divide by the number of data points we have on the dot plot.
Mean of the first 10 monologues = (1.5 + 1.5 + 2 + 2.5 + 2.5 + 2.5 + 3 + 3.5 + 3.5 + 4)/10 = 2.65
Mean of the first 10 monologues + 0.5 minutes = (1.5 + 1.5 + 2 + 2.5 + 2.5 + 2.5 + 3 + 3.5 + 3.5 + 4 + 0.5)/11 = 2.45
Therefore, the effect it would have on the dot plot graph is that: B. The mean will decrease.
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There are 399 items advertised in a catalog. If the catalog is 75 pages long, what is the average number of items per page?
Answer:
Step-by-step explanation:
Well, we can divide 399 and 75 so it would be 5.32. Round that and it would be about 5 items per page
The required average number of items per page is 5.32.
What is the unit rate?A rate with a second term of one is referred to as a unit rate. To put it another way, a unit rate compares two quantities, with the second number being expressed as 1. Unit rates, such as price per item, speed per hour, or cost per pound, are frequently used to describe a rate per unit of measurement.
Here,
To find the average number of items per page, we need to divide the total number of items by the number of pages:
The average number of items per page = Total number of items / Number of pages
Substitute the given values, and we get:
The average number of items per page = 399 / 75
Simplifying the expression, we get:
The average number of items per page = 5.32 (rounded to two decimal places)
Therefore, the average number of items per page is 5.32.
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Please help me with these !!!! asapppp!!!! they all go from 0-9 on the drop downs
Answer:
6x + 1
3x + 3
6x + 9
Step-by-step explanation:
1)
To find the missing number, compare both sides of the equation. If the variable terms are the same and the constant terms are different, then the equation has no solutions.
2x + 9 + 3x + x = _x +_
6x + 9 = _x + _
6x + 9 = 6x + 1
2)
To find the missing number, compare both sides of the equation. If the variable terms are the different and the constant terms are either different or same, then the equation has one solution.
2x + 9 + 3x + x = _x + _
6x + 9 = _x + _
6x + 9 = 3x + 3
3)
When equation is true for every possible value of x.
To find the missing number, compare both sides of the equation. If the variable terms are the same and the constant terms are same, then the equation has no solutions.
2x + 9 + 3x + x = _x + _
6x + 9 = _x + _
6x + 9 = 6x + 9
6x = 6x +9 -9
6x = 6x
6x/6 = x
x = x
The diagram is not drawn to scale
Find the value of x.
The value of x is 60.
How to find the value of x?The Midpoint theorem states that :
The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side
By Midpoint theorem
DE = 30
AC = x
DE = [tex]\frac{1}{2}[/tex] AC
30 = [tex]\frac{x}{2}[/tex]
x = 60
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What's the area of this rectangle?
The area of this rectangle is 18 square units. What is the unit of measurement?
Answer:
Step-by-step explanation:so first you need to find the sides 6*3 so it is 24
In the diagram NM bisects ENL find ML
A. 2
B. 3
C. 6
D. 12
Answer:
Option C. 6
Step-by-step explanation:
we know that
If NM bisects the angle ENL
then
∠MNL=∠MNE
In the right triangle MLN
sin(∠MNL)=ML/MN -----> equation A
In the right triangle MEN
sin(∠MNE)=6/MN -----> equation B
equate equation A and equation B
ML/MN=6/MN
Simplify
ML=6
9x^2-4=0 find two real solutions
Answer:
The two real solutions are [tex]x=\frac{12}{18} = 0.6667[/tex] and [tex]x=-\frac{12}{18} =-0.6667[/tex]
Step-by-step explanation:
The equation [tex]9x^{2} -4=0[/tex] is a quadratic function of the form [tex]ax^{2} +bx+c=0[/tex] that can be solved by using the Quadratic Formula.
[tex]x=\frac{-b±\sqrt{b^{2} -4ac} }{2a}[/tex]
The plus and minus mean that the equation has two solution.
In order to identify is the equation has two real solutions we use the discriminant equation [tex]b^{2} -4ac[/tex]. Depending of the result we got:
1. If the discriminant is positive, we get two real solutions.
2. if the discriminant is negative, we get complex solutions.
3. If the discriminant is zero, we get just one solution.
Solution:
The equation [tex]9x^{2} -4=0[/tex] has a=9, b=0, and c=-4
Using the discriminant equation to know if the quadratic equation has two real solutions:
[tex]b^{2} -4ac[/tex]
[tex]0^{2} -4(9)(-4)=144[/tex] The discriminant is positive which mean we get two real solutions.
Using the Quadratic Formula
[tex]x=\frac{-b±\sqrt{b^{2} -4ac} }{2a}[/tex]
[tex]x=\frac{-0±\sqrt{0^{2} -4(9)(-4)} }{2(9)}[/tex]
[tex]x=\frac{±\sqrt{144} }{18}[/tex]
[tex]x=±\frac{12}{18}[/tex]
then
[tex]x=\frac{12}{18} = 0.6667[/tex] and [tex]x=-\frac{12}{18} =-0.6667[/tex]
To solve the equation 9x^2-4=0, we simplify and take the square root of both sides, resulting in two real solutions: x = 2/3 and x = -2/3.
To find two real solutions to the equation 9x^2-4=0, we can approach this by simplifying it into a form that can use the square root method for solving. Here are the steps:
Add 4 to both sides of the equation: 9x^2 = 4.Divide both sides by 9: x^2 = 4/9.Take the square root of both sides: x = ±2√(4/9).Simplify the square root: x = ±2/3.Therefore, the two real solutions are x = 2/3 and x = -2/3.
find the trinomial below 4x^2 + 12x + 9
Answer:
4x² + 12x + 18
Step-by-step explanation:
This would be the trinomial.
Answer:
if you mean to factor it, it would be, (2x + 3)(2x + 3) but if you do mean the trinomial, that is already the answer.
Step-by-step explanation:
4x^2 + 12x + 9
you can split 12x into 6x + 6x so now it's
4x^2 + 6x + 6x + 9
then simplify it into:
2(2x + 3) + 3(2x + 3)
then into:
(2x + 3)(2x + 3)