Select the correct answer.
Sean used cross multiplication to correctly solve a rational equation. He found one valid solution and one extraneous solution. If 1 is the extraneous solution, which equation could he have solved?
Answers
Answer:
Answer A
Step-by-step explanation:
In the equation [tex]\dfrac{10}{x^2-1}=\dfrac{15}{3x-3}[/tex], 1 makes the denominator zero and 1 is the solution of the equation derived from cross multiplication.
Given :
Sean used cross multiplication to correctly solve a rational equation. He found one valid solution and one extraneous solution. 1 is the extraneous solution.Option A)
Given :
[tex]\dfrac{10}{x^2-1}=\dfrac{15}{3x-3}[/tex]
The above expression is not defined for x equal to 1 so, 1 is an extraneous solution.
Simplify the above equation by doing the cross multiplication.
[tex]10(3x-3)=15(x^2-1)[/tex]
[tex]30(x-1)=15(x-1)(x+1)[/tex]
2 = x + 1
x = 1
In the given equation 1 makes the denominator zero and 1 is the solution of the equation derived from cross multiplication.
Therefore, the correct option is A) and therefore, no need to check the other options.
For more information, refer to the link given below:
https://brainly.com/question/11897796
Related Questions
Robbie made a scale drawing of a neighborhood park. A Soccer field in the park is 14 inches long
in the drawing. The actual field is 98 yards long. What is the scale of the drawing? 1 inch = _ yards
Answers
Answer:
14 it is not 14
Step-by-step explanation:
Answer:
ITS NOT 14
Step-by-step explanation:
I got it wrong anything besides that
Jerry is a judge. he hears 5 cases every 2 3/8 hours how many cases does he haer per hour
Answers
Answer:
2 2/19
Step-by-step explanation:
5 cases in 2 3/8 hours
The unit rate of cases per hour is calculated by dividing the number of cases by the number of hours.
5/(2 3/8) = 5/(19/8) = 5 * 8/19 = 40/19 = 2 2/19
Answer:
2 2/19 cases per hour
Step-by-step explanation:
5 ÷ 2 3/8
~Turn the fraction on the left into an improper one
5 ÷ 19/8
~Copy Dot Flip
5/1 * 8/19
~Multiply
40/19 or 2 2/19
Best of Luck!
A person walked x feet and half that length again
Answers
Answer:
3/2x
Step-by-step explanation:
x feet and half x = x+1/2x or 3/2x
Hope this helps plz hit the crown :D
Please help! Will mark brainliest!
Based on the graph, which of the following represents a solution to the equation? (4
points)
1) (-2,-3)
2) (2, 1)
3) (1, 2)
4) (-3, 2)
Answers
Answer:
4) (-3 , 2)
Step-by-step explanation:
Answer:
(-3, 2) because if you extend the line to the right more, it'll go directly through that point, but none of the others. also, if you plot the points, you can look at the line to see which point the line would go through
Step-by-step explanation:
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Answer: -4
Step-by-step explanation:
I used a calculator
Answer:
H. -4
Step-by-step explanation:
You just have to add the 4 scores together.
-2 - 4 - 1 +3
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An online bookstore sells all paperback books for "x" dollars each. Aidan bought 7 paperback books and spent $3.95 on shipping. Nina bought 11 paperback books and spent $5.25 on shipping. What expression represents the total amount that Aidan and Nina spent?
Answers
Answer:
Aidan: 7x + 3.95 = y
Nina: 11x + 5.25 = y
Cameron has 75% as many shirts as her brother. How many shirts does her brother have if Cameron has 9 shirts?
A) 3 shirts
B) 9 shirts
C) 12 shirts
D) 16 shirts
Answers
what is the domain and range of this linear equation 6x+12y=48
Answers
Answer:
(-infinity, infinity)
(-infinity, infinity) ... for both graph below
Step-by-step explanation:
evaluate the expression when x = 3/4. 1 /5 x answer in simplest form
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Answer:
i dont know what you are asking, make your question more readable and clear
Step-by-step explanation:
Find the mean, median, mode, and range of the data below:
1)
# Words in Book Titles
2
6
5
5
5
4
4
2
3
2
3
2 1 2
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Answers
Answer:
Hi, sry if this doesn't help anymore but these r the answers
mode=2
median=3.5
mean=3.2
range=5
Step-by-step explanation:
Identify the number of zeros for each function
P(x) = 8x^2+5-1
Answers
Answer:
2 zeros
Step-by-step explanation:
Here, we want to identify the number of zeros for the function
The number of zeros a particular function has is dependent on the degree of the function
This particular function is quadratic and has a degree of two
So what this means is that it is expected that the function has two zeros
Give the property that justifies each step.
Answers
Answer:
Please check the explanation below.
Step-by-step explanation:
Some of the properties are defined as:
Distributive property[tex]a(b+c) = ab+ac[/tex]
For example,
suppose a=3, b=4, c=5
3(4+5) = 3(4) + 3(5)
3(9) = 12+15
27 = 27
Subtraction property of Equalityif (a=b), then a-c = b-c
For example,
suppose a=2, b=2, c=5
if a = b ⇒ 2 = 2
then a-c = b-c ⇒ 2-5 = 2- 5 ⇒ -3 = -3
Addition property of Equalityif (a=b), then a+c = b+c
For example,
suppose a=2, b=2, c=5
if a = b ⇒ 2 = 2
then a+c = b+c ⇒ 2+3 = 2+3 ⇒ 5 = 5
Multiplicative property of Equalityif (a=b), then a×c = b×c
For example,
suppose a=2, b=2, c=5
if a = b ⇒ 2 = 2
then a×c = b×c ⇒ 2×5 = 2 × 5 ⇒ 10 = 10
Division property of Equalityif (a=b), then a÷c = b÷c
For example,
suppose a=2, b=2, c=5
if a = b ⇒ 2 = 2
then a÷c = b÷c ⇒ 2÷5 = 2 ÷ 3 ⇒ 2/5 = 2/5
Let us solve the given equation using the above properties.
7n-16=47 Given
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7n=63 2) simplify
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Which equation represents the vertical line passing though (1,-9)
Answers
Answer:
x=1
Step-by-step explanation:
To get the vertical line you leave out the y. Since it goes up in all y's, and then you only need the 1 for the x. easy peasy once you know what it is.
How much interest is earned on $300 at 6% for six years?
Answers
Answer:
125
Step-by-step explanation:
Answer:
about 125
Step-by-step explanation:
you would get 425-300 get you 125
Pls help, The graph of a proportional relationship contains the point (20, 4) .
What is the corresponding equation?
Enter your answer as a fraction in simplest form by filling in the boxes.
y = ?/? x
Answers
Answer:
y = 1/5 x
Step-by-step explanation:
Answer:
1
--
5
Step-by-step explanation
Can you give jasmynpurifoy branliest
Mimi and her friend went to the Burger Barn for lunch. Their bill
totaled $24.68. They left a 15% tip for their waitress. How much
tin did they leave
Answers
Answer:
they tipped = 15% of 24.68 = 15/100*24.68 = 3.702
Step-by-step explanation:
Answer:
Tip: $3.70
Total: $28.38
Step-by-step explanation:
bill: $24.68
tip: 0.15 * 24.68 = $3.70
Total: 24.68 + 3.70 = $28.38
(0,8)
(-2,0). What is the equation of the linear graph shown?
Answers
Answer:
4
x value increases by 2 in the time it takes y value to increase by 8
8/2 = 4
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Answer:
111111111111111111111111111111111111111111111111111111
Step-by-step explanation:
Find the measure of side JK
Answers
Answer:
In ΔIJK, the measure of ∠K=90°, JK = 90 feet, and KI = 54 feet. Find the measure of ∠I to the nearest tenth of a degree.
Step-by-step explanation:
A line passes through the points (4-3) and (0,0). What is the slope of the line?
Answers
Answer:
-0.75
Step-by-step explanation:
Answer:
Its -0.75
Step-by-step explanation:
give brainlest to other guy
John bought an old motor bike for $ 5675 and spent $ 453 on its repair. Then he sold it in $ 7265, find out the profit he made.
Answers
Answer:
1137
Step-by-step explanation:
5675+453
6128
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7265-6128
1137
the rectangular post shown at the right measures 2w-30 by w. the poster has an area of 5400 cm^2. what is The value of w ?
Answers
Step-by-step explanation:
w(2w - 30) = 5400
2w²- 30w = 5400
2w² - 30w - 5400 = 0
(w - 60 ) ( w + 45 ) = 0
w= 60 w= - 45
only take the positive value
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write the slope intercept form of an equation for the line passing through the following two points: (-2,8) and (-4,-4)
Answers
Answer:
y=6x+20
Step-by-step explanation:
m= y2-y1/x2-x1
m= -4-8/-4-(-2)= 12/-2= 6/1
y= mx+b
y= 6x+b
8= 6(-2)+b
8=-12+b
+12 +12
b= 20
What value(s) of x will make x2 = 16 true?
Answers
Answer:
Step-by-step explanation:
the answer is D
hope this helped :)
i could really use an explanation of this problem please and thank you
Answers
Answer:
the answer for this is (2,2)
Help due soon will give brainliest show work
Answers
Answer:
A 6.24 I did this just yesterday and I'm sure I got it right
Answer:
D) 13.9 inches
Step-by-step explanation:
use the pythagorean theorem to solve this - a^2 + b^2 = c^2
8.5^2 + 11^2 = c^2
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25 points plus brainliest if you get this right
What is the INTERIOR Angle Sum of any polygon?
1.) 540
2.) Depends on how many sides the polygon has.
3.) 360
4.) 2
Answers
Answer:
540
Step-by-step explanation:
Answer:
2. depends on how many sides the polygon has.
Step-by-step explanation:
The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180.
In the following experiment, determine whether or not the probabilities are binomial probabilities. If they are, identify the values for n, p, and q. A die is rolled 30 times. What is the probability of getting x even numbers
Answers
This is a binomial probability experiment. Each trial is independent of one another, ie each roll is independent. The probability of getting an even number is 3/6 = 1/2 = 0.5 and that probability does not change from roll to roll. Furthermore, the value of n is fixed and not infinitely large. Lastly, each trial outcome comes down to two choices: either you get an even number, or you don't. So we've met the requirements of a binomial probability distribution.
The values of n, p and q are:
n = 30 = sample sizep = 0.5 = probability of getting an even numberq = 0.5 = probability of not getting an even number.Answer:
c
Step-by-step explanation:
Complete the ratio table.
9 1
18 2
27 3
36
45 5
Answers
Answer:
9:1, 18:2, 27:3, 36:4, 45:5 or 1,2,3,4,5
Step-by-step explanation:
This is the answer because:
1) We can see that eah ratio is being multiplied with the next number. We can say this because 9 x 2 = 18 and 1 x 2 = 2 which is 18:2 just like that 9 x 3 = 27 and 1 x 3 = 3 which makes the ratio 27:3.
2) If we keep on doing this, 9 x 4 = 36 and 1 x 4 = 4 which makes the ratio 36:4.
Therefore, the answer is 4.
Hope this helps! :D
Can someone please explain to me how to get the answer for the question is the picture? I don't get it at all, and the internet isn't helping. Please explain the way you got the answer
Answers
Answer:
The original price of the item is $28.
Step-by-step explanation:
So to find the original price, we have to divide the sale price by the result of one minus the discount in percentage form.
So:
First convert 25% to a decimal, 0.25.
OP(original price) = 21 ÷ 1 - 0.25 =
1 - 0.25 = 0.75
21 ÷ 0.75 = 28.