Answers
9514 1404 393
Answer:
C and D
Step-by-step explanation:
Extraneous solutions arise in a couple of cases, both of which are illustrated in this list of answer choices.
1. Square roots (and other even-index radicals). The square root is defined only for positive arguments. When the radical is removed by squaring the equation, the possibility of negative arguments is introduced. Hence, there may be extraneous solutions.
Example:
x = √(x +2) ⇒ x² = x+2 . . . has 2 roots, one of which is extraneous
__
2. Rational function equations. Such an equation is only defined when the denominator is not zero. A method often taught for solution of these equations is "cross-multiplying"--essentially multiplying by the product of the denominators. In the case where this product is not the least common denominator, the equation will have an extra factor that can introduce an extraneous root.
__
The answer choices C and D are likely to have extraneous roots based on the above observations.
_____
Additional comment
Choice D would usually be solved by cross-multiplying. That would give the quadratic equation (x -3)² = 0, which only has solutions x=3. The denominators are zero at x=3, so these solutions are extraneous. If the right side is subtracted from the left side, the fractions can be combined to give ...
((x+3) -6)/((x -3)(x +3)) = 0 ⇒ 1/(x+3) = 0 . . . . no solution
Related Questions
What is the measure of AZB
Answers
Answer:
129 degrees
Step-by-step explanation:
When we add a right angle (90 degrees) to an acute 39 degree angle we get 129 degrees.
azb = 129 degrees
John invests $15,000 in a savings account that pays 2.5% simple interest. If John makes no
withdrawals or deposits into the account, how much will be in the account after 9 years?
Answers
Answer:
18,375
Step-by-step explanation:
Chris said that a fraction equivalent to 9/12 is 3/6
Answers
Answer:
9/12 is equal to 3/4.
Step-by-step explanation:
9 and 12 can both be divided by 3. In the fraction, divide both the top and the bottom by 3 and you get 3/4.
9/12 simplified is 3/4.
I suspect where Chris went wrong was that he though 9 divided by 2 was 3. In reality, it's 4.5.
Maybe he went wrong because he accidentally divided 12 by 2 instead of 3.
The fraction 9/12 and 3/6 are not equivalent as 91/2 is 3/4.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Chris said that a fraction equivalent to 9/12 is 3/6.
We know we write fractions in the simplest form.
Now, In the fraction 9/12 we can factor out 3 to both the numerator and the denominator.
Therefore, The fraction 9/12 is equivalent to 3/4.
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PLEASE HELP 50 POINTS!!
The sum of two consecutive numbers is 157. This equation, where n is the first number, represents the situation:
2n + 1 = 157.
What is the first number?
A. 77
B. 78
C. 79
D. 80
Answers
If u add them n+(n+1) you get 157
So,
n+n+1=157
2n=156
n=78
Help with this question, please
Answers
Answer:
I'm pretty sure 32 but I could be wrong
Step-by-step explanation:
I'm sorry if it's wrong
A= 1/2bh pls help I don’t remember how to do this
Answers
Answer:
It would be D.
Step-by-step explanation:
This formula, A=1/2 bh, 1/2 base multiplied by height, is used to find the area of a triangle, therefore, D is the only viable answer.
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help!!
An experiment involves flipping a fair coin and rolling a fair six-sided die. List all possible outcomes of the experiment. Use an organized list, table, or tree diagram.
A. What is the probability of getting a head and an even number?
B .What is the probability of getting a tail and the number 4?
D .What is the probability of getting a 5?
Answers
Answer:
Step-by-step explanation:
1. 1/2
2. 1/4
3. 1/8
find the inverse of y=0.3x
Answers
Answer:The inverse is 3.3x
Step-by-step explanation:
Answer:
x times 10
----------------
3
Step-by-step explanation:
A function g is the incerse of function f if y=f(x), x=g(y)
is my answer correct?
Answers
Answer:
yes, it is correct i don't know what else to type i need to type atleast 20 characters to answer
which of the following is a polynomial?
Answers
Answer:
D.
Step by step explanation:
In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
(Thanks to ueknfiowlmneuYIBKt for helping! His profile is at https://brainly.com/app/profile/39601187)
Hope this helps!
find the value of x
HELP pls .
Answers
Answer:
31°
Step-by-step explanation:
The total triangle is 180°
Subtract 180-(33+116)
4.
In order to purchase a new CD player, Rosa must
save at least $85.00. What inequality represents
the amount of money, m, Rosa must save?
Answers
stream hala hala by ateez bye
Answers
stream on the ground and gone by rosé bye
If the wholesale price of an item is $250 and the markup is 20%, find the retail price of the item. Please explain. Thank you.
Answers
So $300
Answer: 300
Step-by-step explanation:
20% of $250 is $50
So $300
What is the factored form of this polynomial? x2 + 5x − 36
A. (x + 4)(x + 9)
B. (x − 4)(x − 9)
C. (x − 5)(x + 8)
D. (x − 4)(x + 9)
Answers
Answer:
D. (x - 4)(x + 9)
Step-by-step explanation:
x2+5x−36
[think of numbers that add together to get 5 and multiply together to get -36!]
-4 + 9 = 5
-4 * 9 = -36
hope this helped! :]
Answer:
D: ( x - 4 ) ( x + 9 )
Step-by-step explanation:
By multipling the two friction :
x2 + 9x - 4x - 36
= x2 + 5x - 36
The cost of 12 oranges and 7 apples is 5.36. Eight oranges and 5 apples cost 3.68. Find the cost of each
Answers
Answer:
Apple costs $0.26
and orange costs $0.32
sorry i don't have time to explain but if u have doubts don't hesitate to ask
O = orange, A = allele
(12O + 7A = 5.36) 2
(8O + 5A = 3.68) 3
Make one of them same coefficient
24O + 14A = 10.72
24O + 15A = 11.04
Subtract both equations
-1A = -0.32
A = 0.32
24O + 14(0.32) = 10.72
24O + 4.48 = 10.72
24O = 6.24, O = 0.26
Solution:
One apple = $0.32
One orange = $0.26
Complete the square to find
the vertex of this parabola.
x2 - 6x – y + 17 = 0
([?], [])
Answers
Answer:
(3,8)
Step-by-step explanation:
;)
Answer these questions please i need to pass my grade but i dont know this
Answers
Here’s a pic
First you got to find the area which is length x width x height.
I can’t attach two papers sorry but here’s the bottom
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answers
Answer:
90 degrees c
Step-by-step explanation:
Hope this helps and have a wonderful day!!!
Also can you give me brainlist???
Answer:
90 degrees celsius
TRUE OR FALSE LOOK THE PHOTO
Answers
Answer:
False
Step-by-step explanation:
3 and 6 are alternating interior angles. If A and B were parallel, Angle3 would be equal to (180 - Angle6). Because the question indicated that they're congruent, the two lines are not parallel.
can you help me with this??
Answers
9514 1404 393
Answer:
relative maxima: x=-3, +1relative minima: x=-1, +5Step-by-step explanation:
The relative maxima are the peaks, the highest points. There are two of them. One is to the left of the y-axis at about x=-3; the other is to the right of the y-axis at about x=1.
The relative minima are the valleys, the lowest points. There are two of those, also. One is to the left of the y-axis at about x=-1; the other is to the right of the y-axis at about x=5.
relative maxima: x=-3, +1relative minima: x=-1, +5
The value of [-10] is?
A.11
B.-10
C.-9
Answers
Answer:
B = -10
Step-by-step explanation:
the answer is B = - 10
Answer:
b. -10
Step-by-step explanation:
Help me answer these
Answers
Step-by-step explanation:
y=-2X2 -2X +4
Answer: I answered it it's C
C In circle K, segment is tangent to the circle at point A. If the radius of the circle has a length of 5 units and the tangent has a length of 12 units, then what is the length of ?
Answers
The length of segment BC is approximately 10.92 units.
To find the length of segment BC, we can use the properties of a tangent to a circle.
In a circle, a tangent is perpendicular to the radius drawn to the point of tangency. Therefore, triangle ABC is a right triangle with AB as the hypotenuse.
Given that the radius of the circle is 5 units and the tangent AB has a length of 12 units, we can apply the Pythagorean theorem to find the length of segment BC.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (AB) is equal to the sum of the squares of the lengths of the other two sides (BC and AC).
Applying the theorem to triangle ABC:
AB^2 = BC^2 + AC^2.
Substituting the given values:
12^2 = BC^2 + 5^2.
144 = BC^2 + 25.
Rearranging the equation:
BC^2 = 144 - 25.
BC^2 = 119.
Taking the square root of both sides:
BC = √119.
Therefore, the length of segment BC is approximately equal to √119 units.
Since it's not possible to represent the square root of 119 exactly as a whole number or fraction, we can leave the answer as √119 or approximate it as a decimal. The decimal approximation for √119 is approximately 10.92.
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A standard-size volleyball court has an area of 1,800 square feet. The length of the court is 60 feet. What is the width of the court?
Answers
Answer:
The width of the court is 30 feet.
Step-by-step explanation:
1800 = 60 x width
width = 1800/60 = 30
How many people ordered beer?
*it is not 15
Answers
Answer:
18 people ordered beer.
Step-by-step explanation:
15 + 3 = 18 people
Answer:
18
Step-by-step explanation:
Add the 15 as well as the three people who purchased both wine and beer. The total for beer purchases would be 18.
Proving triangles similar
Answers
Answer: SIDE ANGLE SIDE
Help please question in the picture
Answers
The correct answer is A.
The area of the square with a side length of 19 meters is 361 square meters.
To determine the area of a square, you multiply the length of one side by itself.
In this case, the side length is given as 19 meters.
To calculate the area of a square, you can use the formula:
Area = side length × side length
Area = 19 meters × 19 meters
Area = 361 square meters
So, the area of the square with a side length of 19 meters is 361 square meters.
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. The face of a dog is symmetrical along the bridge of its nose, which falls on the line of symmetry
that extends directly between the eyes. If a dog's left eye is 4 inches from the bridge of its nose,
how far is the dog's right eye from its left eye?
Answers
Answer:
8
Step-by-step explanation:
line of symmetry indicates equal measurements between both sides, 4 from eye not nose and another 4 from the nose to eye
giving brainliest !!
answer asap
Answers
Answer:
352 in squared
Step-by-step explanation:
Using the formulas
A=2AB+(a+b+c)h
AB=s(s﹣a)(s﹣b)(s﹣c)
s=a+b+c
2
Solving forA
A=ah+bh+ch+1
2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=12·8+10·8+10·8+1
2·﹣124+2·(12·10)2+2·(12·10)2﹣104+2·(10·10)2﹣104
=352