Which of the following is a proposed solution that is not a solution of the original equation?

an extraneous solution

conditional solution

an exponential solution

a radical solution

Answers

Answer 1

9514 1404 393

Answer:

  an extraneous solution

Step-by-step explanation:

A solution that shows up as a result of the process of solving an equation, but that does not work in the original equation, is called "an extraneous solution".

_____

Additional comment

Radical and rational expression equations can have extraneous solutions. For radical equations, they are typically ones that require a negative square root (or negative root of even index). For rational expression equations, they typically involve "excluded" values, values that make a denominator be zero.


Related Questions

What is the ratio of 11 inches to 3 feet? (Change the feet to inches.) Group of answer choices

11:36
36:11
3:11
11:3​

Answers

Answer:

The first option (11:36)

Step-by-step explanation:

When you convert the 3 feet to inches, you multiply by 12. There is 12 inches in each foot, so multiply 3 by 12 will result in 36.

We are comparing the 11 inches to the 3 feet (36 inches), so it would look like this:

11 : 36

(Can also be shown as 11 - 36)

1 Foot = 12 inches

3 feet x 12 = 36 inches.

Ratio = 11:36

Order these numbers from least to greatest.
8.506, 8.6, 8.5612, 8.56

Answers

Answer:

It goes 8.506, 8.56, 8.5612, 8.6

Happy to Help

Helpppppppppppppppppppppppppppppppppppp

Answers

wouldn’t that be like -5,1?

A rectangle is dilated using a scale factor of 6. The
image is then dilated using a scale factor of 1/3. What
scale factor could you use to dilate the origianl
rectangle to get the final rectangle? Explain.

Answers

9514 1404 393

Answer:

  2

Step-by-step explanation:

The second rectangle's dimensions are 1/3 of those after they were multiplied by 6, so are (6)(1/3) = 2 times the original dimensions.

A scale factor of 2 could be used to get the final rectangle.

The answer is 2 I’m pretty sure

Which expression is equivalent to 32 ⋅ 3−5?

Answers

Answer:

91

Step-by-step explanation:

Using the PEMDAS method (parentheses exponenets multiplication division addition subtraction), we know that since 3-5 is not in parentheses, we have to multiply before we subtract. So first, we must multiply 32 x 3 to get a product of 96. Then we must subtract, 96 - 5 = 91. Therefore, your answer is 91.

Hope this helped! Good luck!

Find values of a and b that make both equalities true: a/b = 2/5 and 22/a = 11/6 .

Answers

Answer:

a=32b=80

Step-by-step explanation:

Find values of a and b that make both equalities true:

a/b = 2/5 and 22/a = 11/6 .

given that 22/a=11/16

cross multiply

11a=22x16

11a=352

a=352/11

a=32

put a=32 in  a/b = 2/5 to find b we have

32/b=2/5

cross multiply we have

2b=32x5

2b=160

divide both sides by 2 we have

b=160/2

b=80

Answer:

Step-by-step explanation:

First, we will start by solving: 22/a = 11/6

Solving for a

We can first cross multiply and we get this: 22 x 6 = 11a, Simplified it would be 132 = 11a. Now we know that a = 12.

Solving for b

Now knowing a = 12 we can get this. 12/b = 2/5 same thing, cross multiply. That would be: 12 x 5 = b x 2, Simplified: 60 = 2b so b = 30

ignore the black words on the bottom but i’ll be giving brainliest!

Answers

Answer:

2. the figure has rotatinal symetry

Step-by-step explanation:

Answer:

1. x = 4; y = 7

2. rotational symmetry.

3. No. 360°÷ 50° is not a whole number, so the points will not be evenly spaced all the way around the center.

Step-by-step explanation:

hi again ♡

(6. 10)
Ka, 8)
(4.b)
(2.2)
a. What is the slope of the line? Type the answer in the box below.
The slope of the ines

Answers

Hold
up here’s the answer ima do the work then ik giveu it

using logarithms table, evaluate
4.962-√4.779​

Answers

Answer:

3.404

Step-by-step explanation:

Complete the function using the function y=-2x -6
-2
0
2
4

Answers

I need more info please!!

I WILL GIVE BRAINLIEST
All of the following statements describe the relation shown except _____.
The diagram represents a function.
The inputs are {-1, 0, 3, 4}.
The outputs are {-2, -1, 1}.
This relation could also be represented as {(-1, 1), (0, -2), (3, 1), (4, -1)}.

Answers

Answer:

132

Step-by-step explanation:

Answer:

{-1, 0, 3, 4}.

Step-by-step explanation:

sorry if this is incorrect

What is the value of the unknown in the equation 3m + 7 = - 23?

Answers

Answer:

Step-by-step explanation:

3m + 7 = - 23

we pass the -7 to the right with a positive sign

3m = -23 - 7

we perform the sum of negative numbers

3m = -30

we pass the -3 to the right to divide

m = -30/3

we perform the division

m = -10

If there are 9 rows of seats with 18 seats in each row there are also 6 rows of seats with 24 seats in each row how many seats are there in the auditorium

Answers

306, 9 times 18 is 162 + 6 times 24 is 144 and add 162+144 to get 306 seats in the auditorium.

Answer:

306

Step-by-step explanation:

The number of rows times the number of seats in each row is equal to the stadium chair. Using this, 9 rows of seats with 18 seats in each row is 9(18)  and 6 rows with 24 seats in each row is 6(24). Now we add 9(18) + 6(24), which is 162 + 144 which is 306 seats

HELP ASAP I don’t get it

Answers

Answer:

-11/5

Step-by-step explanation:

In order to solve it u should open the mixed fraction ,i.e,

11/7÷-15/21

=11/7×-21/15

Cutting,

ans=-11/5

Mark me the brainliest

Answer:

Fraction: -11/5

Decimal form: -2.2

Mixed number form: -2 1/5

Step-by-step explanation:

2d + 7 = 9
Hellllllpppppp

Answers

Answer:

Doesn't 2+7 = 9 itself?

Step-by-step explanation:

d=3/2

first you subtract the seven then divide the 2 on both sides to get D isolated

Solve the simple equation.
5(2d+2) = 3 (8d-5)

Answers

Answer:

d = 25/14

Step-by-step explanation:

5(2d+2) = 3 (8d-5)    

10d + 10 = 24d - 15   | +15

10d + 25 = 24d        | - 10d

25 = 14 d                  | :14

d = 25/14

8sin(8x)+9=3
Need solutions

Answers

Answer:

Simplifying

8sin(8x) + 9 = 3

Remove parenthesis around (8x)

8ins * 8x + 9 = 3

Reorder the terms for easier multiplication:

8 * 8ins * x + 9 = 3

Multiply 8 * 8

64ins * x + 9 = 3

Multiply ins * x

64insx + 9 = 3

Reorder the terms:

9 + 64insx = 3

Solving

9 + 64insx = 3

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '-9' to each side of the equation.

9 + -9 + 64insx = 3 + -9

Combine like terms: 9 + -9 = 0

0 + 64insx = 3 + -9

64insx = 3 + -9

Combine like terms: 3 + -9 = -6

64insx = -6

Divide each side by '64nsx'.

i = -0.09375n-1s-1x-1

Simplifying

i = -0.09375n-1s-1x-1

Step-by-step explanation:

If this helps please give brainliest:)

Given that 2y^3+by-cy+d,where b,c and d are constants,leaves a remainder R when divided by (y+1) , (y-2) and (2y-1). Find the value of b and c. If (y+2) is a factor of the expression, find the value of d

Answers

The polynomial remainder theorem says that a polynomial p(x) leaves a remainder of p(k) when it's divided by x - k.

We're given that dividing p(y) = 2y³ + by² - cy + d leaves the same remainder R after dividing it by y + 1, y - 2, and 2y - 1. So we have

p(-1) = 2(-1)³ + b(-1)² - c(-1) + d = R

==>  R = -2 + b + c + d

p(2) = 2(2)³ + b(2)² - c(2) + d = R

==>  R = 16 + 4b - 2c + d

p(1/2) = 2(1/2)³ + b(1/2)² - c(1/2) + d = R

==>  R = 1/4 + b/4 - c/2 + d

We're also given that y + 2 is a factor, which means dividing p(y) by it leaves no remainder, and so

p(-2) = 2(-2)³ + b(-2)² - c(-2) + d = 0

==>  0 = -16 + 4b + 2c + d

Solve the system of equations in boldface. You can eliminate d from the first 3 to first solve for b and c, then solve for d :

(-2 + b + c + d) - (16 + 4b - 2c + d) = R - R

-18 - 3b + 3c = 0

b - c = -6

(-2 + b + c + d) - (1/4 + b/4 - c/2 + d) = R - R

-9/4 + 3b/4 + 3c/2 = 0

b + 2c = 3

(b - c) - (b + 2c) = -6 - 3

-3c = -9

c = 3

b - 3 = -6

b = -3

-16 + 4(-3) + 2(3) + d = 0

d = 22

Form a polynomial function f(x) with the given degree and zeros. You can leave your answer in factored form.
Degree 7; zeros: -7, i, 3-1, -6i

Answers

Answer:

Your search - Form a polynomial function f(x) with the given degree and zeros. You can leave your answer in factored form. Degree 7; zeros: -7, i, 3-1, -6i - did not match any image results.

Suggestions:

Make sure all words are spelled correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords.

write a verbal expression for x + y

Answers

y=Mx+-b pgigigiggihiihihohohoh

(y^3)^2 without exponents​

Answers

Answer:

y^6

Step-by-step explanation:

Answer:

[tex]y^{6}[/tex]

Step-by-step explanation:

Step 1:

( y³ )²       Equation

Step 2:

[tex]y^{3 * 2}[/tex]        Multiply

Answer:

[tex]y^{6}[/tex]

Hope This Helps :)

the heights of adult males are approximately normally distributed with a mean of 70 inches and a standard deviation of 3 inches. an adult male is categorized as shirt if he is less than 64 inches tall and categorized as tall if he is in the top 2% of adult males in term of height. how tall does an adult make need to be to be assigned to the tall category.

Answers

Answer:

76.2

Step-by-step explanation:

Use a calculator or chart to find the z-score associated with the probability.

P(Z > z) = 0.02

P(Z < z) = 0.98

z = 2.054

Find the height.

z = (x − μ) / σ

2.054 = (x − 70) / 3

x = 76.2

if the slope of ac 6 what is the slope of bc

Answers

Answer:
Slope of BC=-1/6

Explanation:
What we know:
- the slope of AC is 6
- BC is perpendicular to AC

We know what BC is perpendicular to AC because they meet at a right angle.

To solve this question, we must understand that the slope of a second line perpendicular to the first is equal to the NEGATIVE RECIPROCAL of the slope of the first line.

For example, the slope of line A=8. The slope of the line perpendicular to line A would be -1/8.

Another example: the slope of line B=-6/7. The slope of a line perpendicular to line B would be 7/6. Remember, two negatives make a positive.

And that brings us back to line BC. Because the slope of line AC is 6, the slope of line BC would be -1/6.

I hope this helps! Please comment if you have any questions.

George is 2 in. taller than the quotient of Myron's height and 3. Let M represent Myron's height, in inches. Write an expression that represents George's height, in inches.

Answers

Answer:

G = M/3 + 2

Step-by-step explanaion

We can interpret the quotient of Myrons height and 3 as "M/3" and we add "+2" to account for the "2 in. taller" part of the problem. We can also represent George's height using "G"

The expression that represents George's height, in inches is G = M/3 + 2

What is algebra?

Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.

Given:

George is 2 in. taller than the quotient of Myron's height and 3.

let  M represent Myron's height, in inches.

and, the quotient of Myrons height and 3 can be written as

=M/3

Now, add 2 to Myron's height.

Then George's height will be

G = M/3 + 2

Learn more about algebra here:

https://brainly.com/question/24875240

#SPJ2

Which equation could be used to generate the following table?
x y
-2 7
-1 6
0 5
1 4
2 3
a
y = -x + 5
b
y = x + 5
c
y = 5x - 1
d
y = -x - 5

Answers

Answer:

ur welcome

Step-by-step explanation:

x is first so -2 and -1 and 0 and 1 and 2 all cancel each other out so no worries there then on to the other side you add it all and boom you done

Write the equation of a line through (5, -3) with a slope of
1/5 in standard form.​

Answers

Answer:

[tex]\frac{1}{5} x-4[/tex]

Step-by-step explanation:

I graphed it on desmos by inserting the point (5,-3) and [tex]\frac{1}{5} x[/tex] for the slope then translated [tex]\frac{1}{5} x[/tex] down 4 so it would go through the point

Answer:

y = 1/5x - 4

Step-by-step explanation:

y = mx + b

simply plug in the slope,

y = 1/5x + b

now put in the cooridinates for b,

-3 = 1/5 ( 5) + b

now solve for b,

-3 - 1 = b

-4 = b

now put -4 into the equation,

y = 1/5x - 4

7. A fish tank hold 100 gallons of water and is losing water at a rate of 1 gallons per hour. A second fish tank
contains 40 gallons of water is having 2 gallons added per hour. After how many hours will the first tank
have less water than the second? Which inequality represents the situation?
a. 100+ h > 40 - 2h
c. 40-h > 100 + 5h
b. 100-h< 40 + 2h
d. 100-h > 40 + 2h
OA
OB
ОС
D
D
Question 8
My

Answers

Answer:

B

Step-by-step explanation:

the first fish tank has 100 gallons of water and 1 gallon is removed every hour which makes 100-h

the second tank has 40 gallons in it and 2 gallons are added every hour which makes 40+2h

after 20 hours the second tank will have more gallons than the first tank

this means that 40+2h would be greater than 100-h since it's also asking you "After how many hours will the first tank  have less water than the second?"

Rewrite the following expression: x^-7

Answers

1/x^7 that’s the answer. !

Find the volume common to two spheres, each with radius r, if the distance between their centers is r/2. [Hint: It may be helpful to look at the previous question and see how it relates to this one. ] intersectingspheres

Answers

Answer:

The volume common to two spheres is [tex]V=\frac{27 \pi r^3}{32}[/tex]

Step-by-step explanation:

Let r be the radius of each sphere

We are given that distance between their centers is [tex]\frac{r}{2}[/tex]

Let [tex](\frac{-r}{4},0)[/tex] be the center of sphere 1 and [tex](\frac{r}{4},0)[/tex]be the center of sphere 2 .

Using the disk points

a=0 and b =[tex]\frac{3r}{4}[/tex]

[tex](x+(\frac{r}{4}))^2+y^2=r^2\\V=2 \int_{0}^{\frac{3r}{4}} \pi y^2 dx\\V=2 \int_{0}^{\frac{3r}{4}} \pi [r^2-(x+(\frac{r}{4}))^2]dx\\V=\frac{27 \pi r^3}{32}[/tex]

Hence the volume common to two spheres is [tex]V=\frac{27 \pi r^3}{32}[/tex]

In attached diagram, we can see 2 circumferences with radius r, and separated centers by r/2.

The solution is:

V = (11/12)×π×r³

Let´s call circumferences  1 and 2, by symmetry, rotating area A will produce a volume V₁ identical a V₂, Obtained by rotating area B ( both around x-axis), then the whole volume V will be:

V = 2× V₁

V₁ = ∫π×y²×dx         (1)

Now

( x - r/2)²  +  y² = r²       the equation of circumference 1

y² = r² - ( x - r/2)²

Plugging this value in equation (1)

V₁ = ∫π×[  r² - ( x - r/2)²]×dx        with integrations limits    0 ≤ x ≤ r/2

V₁ = π×∫ ( r² - x² + (r/2)² - r×x )×dx

V₁ = π× [  r²×x - x³/3 + (r/2)²×x - (1/2) ×r×x²]    evaluate between 0 and r/2

V₁ = π× [(5/4)×r²×x - x³/3 - (1/2) ×r×x²]

V₁ =  π× [(5/4)×r² × ( r/2 - 0 ) - (1/3)×(r/2)³ -  (1/2) ×r×(r/2)²]

V₁ =  π× [ (5/8)×r³ - r³/24 - r³/8]

V₁ =  π× (11/24)×r³

Then

V = 2× V₁

V = 2×π×11/24)×r³

V = (11/12)×π×r³

Related Link : https://brainly.com/question/14301190

Ruben bought 666 comic books for \$21$21dollar sign, 21. Each comic book was the same price. What was the cost for 111 comic books?

Answers

Answer:

Each comic book is $3.30

Step-by-step explanation:

$21 divided by 6= $3.50

Answer:

Each comic book is $3.30

Step-by-step explanation:

$21 divided by 6= $3.50

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