Kyle found the product of two rational expressions and identified the excluded values of the expression. However, he made a mistake in his work and included an extra number in his list of excluded values. His work is shown below.
Select the step where Kyle made his first mistake. Then select the number that should not be included in the list of excluded values.
Answers
Answer:
Step-by-step explanation:
Mistake in step 3 the (2x+1) and the (x-1) both cancel out but the other binomials (x + 3) and (x - 3) are different so don't cancel out.
Step 3 should be 3(x-3) / 4(x+3)
3 should not be an excluded value.
Related Questions
Please find me the value of x
Answers
Answer:
x = 60°
Step-by-step explanation:
See picture below. When two parallel lines are cut by a transversal there are some special relationships.
Answer:
x = 60°
Step-by-step explanation:
∠ ABO and ∠ CBO are a linear pair and sum to 180° , that is
∠ ABO + ∠ CBO = 180°
150° + ∠ CBO = 180° ( subtract 150° from both sides )
∠ CBO = 30°
∠ XYO and ∠ CBO are alternate angles and are congruent , so
∠ XYO = 30°
∠ XOY and ∠ COY are a linear pair and sum to 180° , then
∠ XOY + ∠ COY = 180°
∠ XOY + 90° = 180° ( subtract 90° from both sides )
∠ XOY = 90°
the sum of the 3 angles in Δ XOY = 180° , that is
x + 90° + 30° = 180°
x + 120° = 180° ( subtract 120° from both sides )
x = 60°
6. The formula for the perimeter of a
rectangle is P = 2L + 2W.
a. Solve the equation for W.
b. Using your equation in a, find the width of a
rectangle that has a perimeter of 244 inches
and a length of 59 inches.
Answers
Step-by-step explanation:
work is shown and pictured
7. On a recent math test, the boys averaged
81 and the girls averaged 90. If there are twice
as many boys in the class as girls, what was
the overall average for the class?
Answers
Since the actual scores are also irrelevant, suppose that the two boys got the same score.
Then the girl got a 90 and the two boys got 81 each and
(81 + 81 + 90)/3 = 252/3 = 84.”
Use the diagram to the right to complete the statement.
Answers
Answer:
∠ GOF = 53°
Step-by-step explanation:
∠ LON and ∠ GOF are vertically opposite angles and are congruent, then
∠ GOF = 53°
The shape below is made of two rectangles joined together.
3 cm
4 cm
6 cm
6 cm
15 cm
Find the total area of the shape.
Optional working
Answer:
+
cm²
Answers
The total area of the shape is 102 cm².
Given that, two rectangles with dimensions L1=15 cm, B1=6 cm, L2=4 cm and B2=3 cm.
What is the area of the rectangle?The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimetres, square inches, square feet, etc.) The area of a rectangle is the number of unit squares that can fit into a rectangle.
We know that, the area of a rectangle = Length × Breadth.
So, the area of rectangle1 = 15 × 6 = 90 cm²
The area of rectangle2 = 4 × 3 = 12 cm²
Total area = 90+12 =102 cm²
Therefore, the total area of the shape is 102 cm².
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What is the polynomial regression?
Answers
In order to transform linear regression into polynomial regression, certain polynomial terms are added to it due to the non-linear relationship between the dependent and independent variables.
Let's say we have independent data X and dependent data Y. In the preprocessing stage, we turn the input variables into polynomial terms to some extent before feeding the data to a mode.
As a specific example of multiple linear regression, polynomial regression is a type of linear regression that estimates the connection as an nth degree polynomial. The performance can also be negatively impacted by the existence of one or two outliers since Polynomial Regression is sensitive to outliers.
The connection between the dependent and independent variables is best approximated by polynomial. It may be used for a wide range of functions. In general, polynomial suits a large range of curvature.
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HELPPPPPPPP PLEASEE
Answers
Answer:
35 x 30 X 27 x 30 is equal to your answer
Find x and y pleaseee
Answers
Answer:
x = 23 y = 42
Step-by-step explanation:
y + 54 + 4x - 8 = 180
y + 4x = 180 - 46
y + 4x = 134
180 - (5x - 19) = 4x - 8
180 - 5x + 19 = 4x - 8
180 + 19 + 8 = 4x + 5x
207 = 9x
207/9 = x
x = 23
y + 4(23) = 134
y = 134 - 92
y = 42
Question 10
Divide £64 in the ratio 3:5
Answers
Answer:
24:40
Step-by-step explanation:
3:5
This means there are 8 divisions altogether - 8 parts to be split (3+5=8)
64 / 8 = 8
8x3 = 24
8x5 = 40
£24:£40
Hope this makes sense!
luna wants to sell a Tshirt
In her shop making a profit of
25%
if the cost of the Tshirt
is 100$, in the same time
the customer will have a discut
of 30%, what shall she put
on a Sale Tag
Answers
Answer:
Price: $178.57
30% off: -$53.57
Sale Price: $125.00
Step-by-step explanation:
She buys each shirt for $100.
She wants to make a profit of 25%.
25% of $100 = 0.25 × $100 = $125
She must sell the shirt at $125.
She wants to mark the shirt at a higher price than $125, so that after the 30% discount, she will still sell it for $125.
Call the higher price x.
x - 30% of x = 125
x - 0.3x = 125
0.7x = 125
x = 125/0.7
x = 178.57
The sale tag can read:
Price: $178.57
30% off: -$53.57
Sale Price: $125.00
In the student council election, 217 students vote. Uma receives 4 votes for every 3 that Paloma Receives. How many more votes does Uma receive than Paloma?
Answers
In probability 31, more votes does Uma receive than Paloma .
In statistics, what does a probability mean?
The likelihood that an event will occur in a Random Experiment is measured by probability. A number between 0 and 1 is used to quantify probability, where, broadly speaking, 0 denotes impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability.let uma u and paloma p votes
Uma = 4/7 = u/217
4 × 217 / 7 = u
u = 124
paloma = 3/7 = p/217
3 × 217 /7 = p
p = 93
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what is r-0.2r when r equals the regular price of a cd player, which is equalivent to this expression.
(please answer step by step)
0.1r
0.8r
0.9r
1.2r
please
help
Answers
Answer:
0.8r
Step-by-step explanation:
r - 0.2r = 1r - 0.2r = (1 - 0.2)r = 0.8r
Answer:
0.8r
Step-by-step ex
took test
Hey i needed help with this scale factor
Answers
Divide 44 by 11 you get 4
Same with 52 and 13
Multiply 4 and 4
Henry predicted whether he got answers right or wrong in his 50 question exam.
he identified the 37 questions he thought he got right.
it turns out that henry got 5 questions wrong that he thought he got correct and he only got 3 of the questions wrong he had predicted.
what is the percentage accuracy he had with predicting his scores?
Answers
The percentage accuracy he had with predicting his scores is 90%.
Here,
Given that;
Henry predicted whether he got answers right or wrong in his 50 question exam. That is,
In total, there are 50 questions.
Of the ones he got right, he identified 30 right.
Of the ones he got wrong, he identified 15 correctly.
We have to find; the percentage accuracy he had with predicting his scores.
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100.
Now,
The percentage of a relative to b is given by:
In total, there are 50 questions.
Of the ones he got right, he identified 30 right.
Of the ones he got wrong, he identified 15 correctly.
Hence, since he identified 45 out of 50 correctly:
[tex]P = \frac{x}{y} *100[/tex]
[tex]P = \frac{45}{50} *100[/tex]
[tex]P = 90[/tex]
So,
The percentage accuracy he had with predicting his scores is 90%.
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Is the expression (5x5)^3 equivalent to 5x5^3
Answers
Answer:
No.
Step-by-step explanation:
The order of operations in both problems are different, giving two very different results. Therefore, they are unequal.
Solve the equation 29 = v + 23 for v.
Answers
Answer:
6
Step-by-step explanation:
Solving steps
29v+23
Move the terms
- v =23 -29
Calculate
-V=-6
Change the signs
Solution
V = 6
Answer: 6
Step-by-step explanation: the guy above me has the best expanation
Which ordered pairs make the open sentence true?
4x+y>9
Answers
Answer:
Step-by-step explanation:
let x = 5, y = 0
so the equation is 4x+y>9
and put the value of x and y in the equation
4 (5) + 0 > 9
20 + 0 > 9
20 > 9, therefore the order pair ( 5,0) satisfies the condition. true
A business has a budget of $480 to spend on their marketing campaign. Each month, x, the business spends $30 on different advertisements. The amount of money remaining in the budget for marketing can be modeled by the function M(x) = −30x + 480. Based on the graph of the linear function M(x) and the context of the problem, what is the domain?
[0, ∞)
[0, 16)
[0, 480]
ℝ
Answers
This shows that a reasonable domain for this function is [0, 16)
Domain of a functionThe domain of a function is a value of the independent variable of the function for which it exists.
Given the equation below:
M(x) = −30x + 480
Since the function represents the The amount of money remaining in the budget for marketing then the function f(x) must be greater than zero;
−30x + 480 > 0
-30x> -480
x < 480/30
x < 16
This shows that a reasonable domain for this function is [0, 16)
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300000 + 3524142532 =
Answers
Answer:
3524442532 or 3.524442532 * 10 ^9
Step-by-step explanation:
Solve the equation t − 3 = 17 for t.
Answers
Answer:
t = 20
Step-by-step explanation:
add 3 to both sides to isolate t:
t = 17 + 3
t = 20
Answer: t= 20
Step-by-step explanation:
A new yo-yo factory is operating at 80 percent
of capacity and produces 4,000 yo-yos daily.
when the factory reaches 100 percent of
capacity, how many yo-yos should be
produced each day?
a.
800
b. 3,200
c. 4,800
d. 5,000
e. 7,200
Answers
100% = (?)
(?) = 4000 x 100/80
= 5,000 yo-yos
Determine the solutions of the equation:
Absolute value of the quantity one fifth times x plus 2 end quantity minus 6 equals two.
x = −50 and x = 30
x = −30 and x = 50
x = −20 and x = 50
x = 30 and x = 10
Answers
Answer:
x = -50 and x = 30
Step-by-step explanation:
Given equation:
[tex]\left|\dfrac{1}{5}x+2\right|-6=2[/tex]
To solve an equation containing an absolute value, isolate the absolute value on one side of the equation:
[tex]\implies \left|\dfrac{1}{5}x+2\right|-6+6=2+6[/tex]
[tex]\implies \left|\dfrac{1}{5}x+2\right|=8[/tex]
Set the contents of the absolute value equal to both the negative and positive value of the number on the other side of the equation, then solve both equations:
Equation 1 (negative value)
[tex]\begin{aligned} &\textsf{Given}: &\dfrac{1}{5}x+2&=-8\\ &\textsf{Subtract 2 from both sides}: \quad & \dfrac{1}{5}x+2-2&=-8 -2\\&\textsf{Simplify}:&\dfrac{1}{5}x&=-10\\ &\textsf{Mulitply both sides by 5}: &5 \cdot \dfrac{1}{5}x&=5 \cdot-10\\&\textsf{Solution}:& x & = -50\end{aligned}[/tex]
Equation 2 (positive value)
[tex]\begin{aligned} &\textsf{Given}: &\dfrac{1}{5}x+2&=8\\ &\textsf{Subtract 2 from both sides}: \quad &\dfrac{1}{5}x+2-2&=8 -2\\&\textsf{Simplify}:&\dfrac{1}{5}x&=6\\ &\textsf{Mulitply both sides by 5}:&5 \cdot \dfrac{1}{5}x&=5 \cdot6\\ &\textsf{Solution}:&x & = 30\end{aligned}[/tex]
Solutions
Therefore, the solutions are: x = -50 and x = 30.
a 65g book is 15cm x 5cm x 3c. Find the density
PLEASE HELP
Answers
Answer:
Density=13g/45cm cubed
Step-by-step explanation:
D=M/V
D=65g/225cmcubed
D=13g/45cm cubed
Parallelogram WXYZ is shown on the coordinate plane.
Parallelogram W’X’Y’Z’ (not shown) is the reflection of parallelogram WXYZ across the y-axis. Which statement is true?
W'X' is parallel to W'Z'
W'X' is parallel to Z'Y'
W'X' is perpendicular to W'Z'
W'X' is perpendicular to Z'Y'
Answers
The reflection transformation of the given diagram means that; W' X' is parallel to Z' Y'
How to Interpret Transformation Reflection?
Reflection over y-axis is a reflection or flip over the y-axis where the y-axis is the line of reflection used. The formula for this is: (x,y) →(−x,y) ( x , y ) → ( − x , y ) .
To reflect an equation over the y-axis, simply multiply the input variable by -1: y=f(x)→y=f(−x) y = f ( x ) → y = f ( − x )
Thus, looking at the given image and applying the transformation rule above, we can say that the reflection of parallelogram WXYZ across the y-axis would mean that W' X' is parallel to Z' Y'
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What does heuristic mean?
1) a randomly generated number
2) a function in excel
3) rule of thumb
4) an equation
Answers
Answer:
3.) rule of thumb
Step-by-step explanation:
Which of the following is a trinomial with a constant term?
O A. yo +8y³ +GAY
OB. X
OC. x³ + y
OD. x+ 2y + 10
Answers
Option D x+2y+10 .
A trinomial with a constant term will have three terms, and one of those terms will be a constant, which is a number.
we also know about the Constant
A fixed value. In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number.
Some relatable terms are :
Monomial: Polynomial having a single term.
Binomial: Polynomial having two terms.
Trinomial: Polynomial having three terms.
In given option we'll define
in option A there is no constant .
option B there i sonly given x which is also not constant.
further in option c it is simply binomial in which only two terms are given without constant .
so at last conclusion is in option D there are three terms are given with one constant which is number 10 .
x+2y+10 is trinomial with a constant.
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The length of a rectangle is 3 cm longer than its width.
If the perimeter of the rectangle is 58 cm, find its length and width.
Answers
The length and width of the given rectangle is 16cm and 13cm.
What is a rectangle?A rectangle is a quadrilateral with four right angles in Euclidean plane geometry. It can also be defined as an equiangular quadrilateral because all of its angles are equal; or a parallelogram with a right angle. A square is a rectangle with four equal-length sides.Formula of perimeter of a rectangle: 2(l+b)
Let, width be 'x' then length will automatically be 'x+3'.
Now, put the values in the formula:
P = 2(l+b)58 = 2(x+3+x)58 = 2(2x + 3)58 = 4x + 64x = 58 - 64x = 52x = 52/4x = 13So, width is 13cm then length is (13+3) that is 16cm.
Therefore, the length and width of the given rectangle is 16cm and 13cm.
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If angle 1 and angle 2 form a linear pair and angle 1 is x and angle 2 is 5x - 18, find the measure of angle 1
Answers
Apply the definition of linear pair, the measure of angle 1 is calculated as: 33°.
What are Linear Pair Angles?If two angles are a linear pair, then, the sum of their angle measures equal 180 degrees.
We are given that angle 1 and angle 2 are a linear pair. This means that:
Measure of angle 1 + measure of angle 2 = 180
Measure of angle 1 = x
Measure of angle 2 = 5x - 18
Substitute
x + 5x - 18 = 180
6x - 18 = 180
6x = 180 + 18
6x = 198
6x/6 = 198/6
x = 33
Measure of angle 1 = x = 33°.
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How many solutions does this equation have?
3b + 4 = 10 + 3b
Answers
Answer:
None
Step-by-step explanation:
[tex]3b+4-3b=10+3b-3b\\4=10\\\sf Sides\:unbalanced.[/tex]
find the product of 12 0.6 and 6 1/4
