Solve the radical equation.
x + 1 = sqrt -6x - 6
Which solution is extraneous?

a. The solution x=-1 is an extraneous solution.
b. Both x=-1 are x=-7 true solutions.
c. The solution x=-7 is an extraneous solution.
d. Neither x=-1 nor x=-7 is a true solution to the equation.

Answer:

It’s b

Step-by-step explanation

Answer: B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

B it's wrong because 8 is divided by a number not a number by 8

The three (3) possible combinations are

Alex should 20 hats and 20 scarves

Let the number of scarves be x and y be the number of hats

He can make at most 20 hats and 30 scarves, but no more than 40 items altogether

x ≤ 20

y ≤ 30

x + y ≤ 40 (in time of market)

x + y ≥ 25

The possible combinations are

He should choose the third option x = 20, y = 20 this allows him to take more products to the show

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The main answer to the problem 8x + c = k for x is:

x = (k - c)/8

Isolating x on one side of the equation by performing inverse operations. First, subtract c from both sides:

  8x + c - c = k - c
  8x = k - c

Now, we need to get x by itself. To do this, we'll divide both sides of the equation by 8:
  8x / 8 = (k - c) / 8
  x = (k - c) / 8

So, the main answer is x = (k - c) / 8.


This corresponds to option D in your list of choices:
D. x = (k - c) / 8

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Answer:

8 feet

Step-by-step explanation:

It is given that, a 3 ft tree casts a 10 ft. shadow.  It means that 1 ft long shadow will cast by \(\dfrac{3}{10}\) feet long tree.

Let 26 ft tall tree will cast x feet long shadow. To find it using unitary method we get :

\(x=\dfrac{3}{10}\times 26\\\\x=7.8\ \text{feet}\)

or

x = 8 feet

So, 8 feet long is the shadow of a 26 feet tall tree.

Answer:

1484.68

Step-by-step explanation:

Answer:

75.11 + 29.64 = 104.75 - 180.47 = 75.72

Step-by-step explanation:

hope this helps please mark brainliest

Answer:

Below

Step-by-step explanation:

Break each of the legs into vertical and horizontal components so you can add them :

Vertical

  80 sin 55    +     40   sin 132   = 95.258 km

Horizontal

   80 cos 55    +   40 cos 132 = 19.121 km

Use pythag theorem to calculate the distance from origin

d^2 = 95.258^2  + 19.121^2  

    show d = 97.16 km from origin

Angle will be arctan ( 95.258/19.121) = 78.65°   <====this is the bearing of the SHIP from the PORT....the bearing TO the PORT FROM the ship will be   78.165 + 180 = 258.65°

The length is 3/8 inches and width is 3/8 inches.

It is also given that the area of a capacitor plate is obtained by multiplying the length by the width.

To find the area of a capacitor plate by multiplying the length by the width,

Substitute the values,

The area of capacitor plate is

Answer:

y=-(x+3)(x+1)(x-2)=-x^3-2x^2+5x+6

Step-by-step explanation:

If the zeros are:

x1=-3

x2=-1

x3=2

then the function is:

y = a (x-x1) (x-x2) (x-x3) = a (x+3) (x+1) (x-2)

y = a (x^3+2x^2-5x-6)

To find the value for "a" we use the information that, if x=1, then y=8:

y = a (1+2-5-6) = a (-8) = 8 therefore a=-1

So:

y=-(x+3)(x+1)(x-2)=-x^3-2x^2+5x+6

Answer: 72 grams of tea leaves

Step-by-step explanation:

288/24 = 12

6 leaves per 24 ounces of fluid

12x6=72

Answer:

13 • -2 = -26

Step-by-step explanation:

-13 + -13= -26

The rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

What is volume?

Volume refers to the amount of three-dimensional space occupied by an object or a substance.

To find the rate of increase in the volume V of a sphere when the surface area S becomes 100π square inches, we need to use the formulas relating the surface area and volume of a sphere to its radius.

The surface area S of a sphere is given by the formula:

\(S = 4\pi r^2,\)

where r is the radius of the sphere.

The volume V of a sphere is given by the formula:

\(V = (4/3)\pi r^3.\)

To find the rate of increase in volume with respect to time, we need to differentiate the volume formula with respect to time.

Given that the radius r is increasing at a uniform rate of 0.3 inches per second, we can write:

dr/dt = 0.3 inches per second.

Now, let's differentiate the volume formula with respect to time:

\(dV/dt = d/dt [(4/3)\pi r^3].\)

Using the power rule of differentiation, we get:

\(dV/dt = (4/3)\pi * 3r^2 * (dr/dt).\)

Simplifying further, we have:

\(dV/dt = 4\pi r^2 * (dr/dt).\)

Since we want to find the rate of increase in cubic inches per second, we need to express the volume in cubic inches.

Substituting the value of the surface area S = 100π square inches into the surface area formula:

\(100\pi = 4\pi r^2.\)

Dividing both sides by 4π, we get:

\(r^2 = 25.\)

Taking the square root of both sides, we find:

r = 5.

Now, we can substitute the value of r into the rate of increase formula:

\(dV/dt = 4\pi(5^2) * (0.3).\)

Simplifying the expression:

dV/dt = 4π(25) * 0.3.

dV/dt = 30π cubic inches per second.

Therefore, the rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

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179 pounds

Step-by-step explanation:

yan po makatulong po yan thank you

Step-by-step explanation:

Hey there!

Your answer is Option A.

Check all:

A. y = 6x-2

Comparing the equation with y = mx+b, we get;

m= 6

and b= -2

B. y= 6x+2

Comparing the equation with y= mx+b, we get;

m = 6

b= 2

C. y = 2x+6

Comparing the equation with y= mx+b, we get;

m= 2

b = 6

D. y= -2x-6

Comparing the equation with y= mx+b, we get;

m= -2

b= -6

Therefore, Option A is correct answer.

Hope it helps...

Answer:

the percentage change is a 60% change.

Step-by-step explanation:

A change from 5 to 2 represents a negative change (decrease) of -60%

Use the formula found below on this webpage to find the percent change by replacing the given values:

Percent change = New - Old

|Old|

× 100%

Percent change = 2 - 5

|5|

× 100% =

-3

5

× 100 = -60% (decrease)

Where: 5 is the old value and 2 is the new value. In this case we have a negative change (decrease) of -60 percent because the new value is smaller than the old value.

Answer:

The sum of all 2 digit multiples of 6 is 810

Step-by-step explanation:

12+18+24+30+36+42+48+54+60+66+72+78+84+90+96 = 810

Answer:

810

Step-by-step explanation:

2 digit multiples of 6 are 12,18,24...90,96

You can just add them on your calculator.

Answer:

C

Step-by-step explanation:

consistently goes down by 3.2 for the y value

The appropriate measure of center for the data on the tickets sold is C. The median is the best measure of center, and it equals 19.

In a box plot, the median is represented by the horizontal line that divides the box into two equal parts. The median is the middle value of the dataset when it is ordered from smallest to largest.

The median is the best measure of center for a box plot. The median is represented by the line inside the box, which in this case is at 19 on the number line.

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Answer:

ccccccccccccccccccccccccc

Step-by-step explanation:

Answer:

what equation.?

Step-by-step explanation:

Answer:

805

Step-by-step explanation:

The periodic solutions of the system are:

(0, 0),

(±√2, ±√2).

These points represent periodic orbits in the phase space of the system.

To determine the periodic solutions, if any, of the system:

ẋ = yx^p(x^2y^2 - 2),

ẏ = -xy^p(x^2y^2 - 2),

we need to find values of x and y for which the derivatives ẋ and ẏ are equal to zero simultaneously. These points represent potential periodic solutions.Setting ẋ = 0 and ẏ = 0, we have:

0 = yx^p(x^2y^2 - 2),

0 = -xy^p(x^2y^2 - 2).

From the first equation, we can see that either y = 0 or x^2y^2 - 2 = 0.

If y = 0, then the second equation implies that x = 0. Therefore, (0, 0) is a solution.

If x^2y^2 - 2 = 0, then x^2y^2 = 2.

Taking the square root of both sides, we get xy = ±√2.Considering the second equation, we have -xy^p(x^2y^2 - 2) = 0.

Substituting xy = ±√2, we find that this equation holds true.

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The lowest point should be used for measurement. To acquire a correct reading, students must read the meniscus at eye level. In order to read the meniscus at eye level, students need first set the graduated cylinder on the table and then stoop.

A measuring cylinder, often referred to as a graded cylinder, a cylinder measuring cylinder, or a mixing cylinder, is a piece of lab apparatus used to gauge the quantity of fluids, chemicals, or solutions used during a typical lab session. Compared to common laboratory flasks and beakers, graduated cylinders offer higher precision and accuracy. The graduated cylinder is a scientific tool that employs the metric system rather than the American standard system, so measurements are made in millilitres rather than ounces. The volume of an object or quantity of liquid is measured using a graduated cylinder, a common piece of laboratory glassware. It is a glass cylinder with side markings resembling those on a measuring cup, as its name suggests.

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Answer:

504 Copies.

Explanation:

First you do 210 copies ÷ 5 minutes to tell you how many copies it will make per minute, that gives you 42 Copies per minute. Now lastly, you need to find how many it makes in 12 minutes. So if it does 42 Copies in one minute multiply 42 by 12 because there are 42 copies in one minute and you need to find how many it will make in 12 minutes so your answer is 42.

Unsigned whole numbers in binary are represented by a sequence of 1s, with the number of 1s equal to the value of the number itself.

In binary representation, numbers are expressed using only 0s and 1s. When dealing with unsigned whole numbers, the value of the number determines the length of the sequence of 1s used for its representation. For example, the decimal number 5 would be represented in binary as "11111" since it consists of five consecutive 1s. Similarly, the decimal number 10 would be represented as "1111111111" since it consists of ten consecutive 1s. This encoding scheme allows for a simple and efficient representation of positive whole numbers in binary.

Binary representation provides a concise and efficient way to represent numbers in computing systems. It is the foundation of digital communication and storage, enabling the manipulation and processing of numerical data. Understanding how numbers are encoded in binary is essential for working with computer systems, algorithms, and programming languages.

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Answer:

Yes, the graph represents a proportional relationship. No, the graph does not represent a proportional relationship. It is a straight line, but it does not intersect the point (0, 0).

Answer:

-b+2>-10

Step-by-step explanation:

Just ask.

Hope this helps! :D

Answer:

d

Step-by-step explanation:

the ratio of height : shadow of statue is 15 : 20 = 3 : 4

the ratio of height : shadow of person will also be 3 : 4

jet height of person be h , then

\(\frac{h}{4}\) = \(\frac{3}{4}\) ( cross- multiply )

4h = 12 ( divide both sides by 4 )

h = 3

then the person is 3 feet tall

Answer:

d) 3 feet

Step-by-step explanation: