10. (02.03)
Find the solution of 3 to the square root of x+6=-12 , and determine if it is an extraneous solution. (1 point)
x= -3; extraneous
x = -3; not extraneous
x= 10; extraneous
x= 10; not extraneous

Answers

Answer 1

Answer:

x= 10; extraneous

Step-by-step explanation:

Given the expression:

3√x+6 = -12

We are to find the value of x

Divide both sides by 3

3√x+6/3 = -12/3

√x+6 = -4

Square both sides

(√x+6)² = (-4)²

x + 6 = 16

x = 16-6

x = 10

Hence the solution is x =10 and it is extraneous solution


Related Questions

50 points!! Look at both pics attached! I need this done ASAP! Put random answers and I will report you

Answers

Answer:

For the first: [tex]x=-23[/tex] and [tex]x=17[/tex]

For the second: [tex]x=5[/tex]

Step-by-step explanation:

Answer:

x=17 for the first and x=5 for the second.

Step-by-step explanation:

First picture

Opposite angles of two intersecting lines are equal.

So the angle opposite the 100 degree angle on line c is also 100.

Since a, b, and c are all parallel, the angles made by the intersecting line r, are also all equal (these are corresponding angles).

So 5x + 15 = 100

5x = 85

x = 17

Second picture

Adjacent angles add up to 180 degrees.  So the angle opposite 52 is 180-52=128.

[tex]2^{2x-3}=128\\\\2x-3 = 7\\2x = 10\\x=5[/tex]

Write the ratio of ears to toes on an average person? (in simplest form)
type your answering using one of the following... (NO SPACES)
to

Answers

Answer:

1:5

Step-by-step explanation:

DivideByTwo

PLEASEEEE HELPPPP 10th GRADE GEOMETRY!!!

Answers

1 = 30 degrees
2 = 30 degrees
l3 = 120 degrees
4 = 60 degrees
5= 60 degrees
6 = 60 degrees
7 = 30 degrees
8 = 120 degrees
9 = 30 degrees

A salesperson earns $450 per week plus 15% of her weekly sales. The
expression representing her earnings is 450 +0.15x. Which of the following
describes the sales necessary for the salesperson to earn at least $600 in
one week?

Answers

Answer:

If a sales person wants to earn $600 in 1 week they have to make $1000 dollar sale or a bunch of sales that can make $1000

Step-by-step explanation:

Because $600 - $450 gives you $150, and $150 is 15% of her sales to if we were to divide $150 by 0.15 ( 15% in decimal for ) we would get $1000 meaning 15% of 1000 is 150.

Hope this helps :)

Please answer quick 20 points and if answer is right I will give Brainly

Answers

Answer:

216*64/8=1728....

Step-by-step explanation:

12³ is the appropriate answer

If a parabola opens down, what is true about its quadratic function

Answers

Answer:

The vertex is the minimum.

Step-by-step explanation:

the vertex represents the lowest point on the graph, or the minimum value of the quadratic function.

what's the answer step by step please​

Answers

i think the answer is 2.8
It’s 2.8 reason spongebob

What are the coordinates of point K after the translation (x, y) ---> (x + 2, y + 5)

Answers

4,4 because when you add (2,-1) to x+2, y+5 2+2=4 -1+5=4 so you end up with (4,4)

I'm in need of assistance here, please answer ASAP!

Answers

What u need help with?

Answer: where do you need assistance

Step-by-step explanation:

Jason’s current age is 1/4 his mom’s current age. In 16 years, Jason’s age will be 1/2 his mom’s age. The equation below can be used to determine x, Jason’s current age. What is Jason’s current age, in years

Answers

Answer:x=8

Step-by-step explanation: if you download Math-way you’ll get a lot of answers I was doing a test and I seen u didn’t have an answer so I decided to help you

Simplify:
√36a^3b^4

A) 6ab^2√a
B) 6ab^2
C) 6ab^2√ab
D) 6ab^3

Answers

Your answer is A !!
Can you mark me BRAINLEST

The school's copier can
make 30 copies in 12a
minute. How many
copies can it make in 18
minutes?

Answers

Answer: 45 copies in 18 minutes

Step-by-step explanation:

i figured it out ;)

A cereal company is determining the nutritional information of a new recipe. They took a random sample of 20 servings of the cereal and measured
the number of calories in each serving. The number of calories in each serving are listed.
143, 145, 147, 150, 150, 152, 157, 159, 160, 160, 161, 163, 164, 165, 165, 168, 173, 175, 177, 180
The box plot shown is a summary of the data. Move numbers to the spaces to label the values and complete the box plot.
143
180
not drawn to sale
145
150
151
160.5
160.7
165
166.5
177

Answers

Answer:

Minimum is 143, second whisker is 150, median is 160.5, 3rd quartile is 166.5, maximum is 180

Step-by-step explanation:

The first box is fillled with first quartile 151, the second box is filled with second quartile 160.5, and the third box is filled with the third quartile 166.5

How does a boxplot shows the  data points?

A box plot has 5 data description.

The leftmost whisker shows the minimum value in the data.The rightmost whisker shows the maximum value in the data.The leftmost line in the box shows the first quartile.The middle line shows the median, also called second quartile.The last line of the box shows the third quartile.

What are quartiles?

When we get data which can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.

Quartiles are then selected as 3 points such that they create four groups in the data, each groups approximately possessing 25% of the data.

Lower quartile, also called first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.

Similarly, second quartile (also called median) is approximately in mid of the data.

Third quartile (also called upper quartile)  has approx 75% in its left partition, and on its right lies approx 25% of the data.

Left to right is said in assumption that data was arranged increasingly from left to right

For this case, the data is:

143, 145, 147, 150, 150, 152, 157, 159, 160, 160, 161, 163, 164, 165, 165, 168, 173, 175, 177, 180

It is already sorted. There are 20 values.

We have to find the limits of box and the mid line, which are the three quartiles.

Dividing 20 in 4 equal parts give size of 5

Thus, 5-5-5-5 groups will be made by the three quartiles of this data.

The fifth value is 150, and sixth is 152. Any number between 150 and 152 can be taken as the first quartile, as before it will lie 25% of values and 75% of the data  after that value. By tradition, we take average of these two values, so its 151 as the first quartile of the considered data set.

In the similar way, the second quartile or median is mean of 10th and 11th value which evaluates to (160+161)/2 = 160.5

And, the third quartile is the mean of 15th  and 16th value of this data set, which evaluates to (165+168)/2 = 166.5

Thus, the first box is fillled with first quartile 151, the second box is filled with second quartile 160.5, and the third box is filled with the third quartile 166.5

Learn more about quartiles here:

brainly.com/question/9260741

I WILL MARK THE BRAINEST

1.How many exterior angles are there at each vertex of the triangle

2.How many exterior angles does a triangle have in all

Answers

Answer:

blank 1: 2

blank2: 6

hope this helps

A, B, C, and D are the four angles of a parallelogram. a.Show that angle A = angle C
b.Show that angle B = angle D

Answers

Answer:

look at the pictures

Step-by-step explanation:

HOPE THIS helps

A runner's distribution of times for running 1,000 meters has a mean of 4.5 minutes with a standard deviation of 0.75 minutes. One of the runner's times has a z-score of –1.76. What is the runner's time?

Answers

Answer:

The runner’s time is 3.18 minutes

Step-by-step explanation:

Mathematically;

z-score = (x-mean)/SD

In this question, we have the z-score but we want to calculate x

From the question

z-score = -1.76

mean = 4.5 minutes

SD = 0.75 minutes

x = ?

Substituting these values, we have that

-1.76 = (x-4.5)/0.75

0.75(-1.76) = x - 4.5

-1.32 = x - 4.5

x = 4.5 -1.32

x = 3.18

Answer:

3.18

Step-by-step explanation:

edg

can someone pls help me with this!! ​

Answers

Answer:

1st one

Step-by-step explanation:

Which ordered pair is a solution of the equation?
(I will mark you brainliest if correct)

Answers

Answer:

Step-by-step explanation:

d

Answers pleasee this stuff is hard

Answers

Answer:

According to the integral root theorem the only possible real, integral zeros are +/- factors of (10*3 - 8)

... or factors of 992(+/-).  you can test by direct substitution.  No positive values are roots ... try 1, 1332, but as x increases so does y ...  so there are no positive roots.

  Roots, means y = 0 ...  so (x + 10)^3  = 8 ... take cube root ... x + 10 = 2  .. x = -8

x = -8 is a root

Testing other negatives and the y values are not zero but tend toward - infinity.

So the only real zero is x = -8

Answer:

it helps you

Step-by-step explanation:

this is for y = (x-10)^3 - 8

According to the integral root theorem the only possible real, integral zeros are +/- factors of (10*3 - 8)

... or factors of 992(+/-). you can test by direct substitution. No positive values are roots ... try 1, 1332, but as x increases so does y ... so there are no positive roots.

Roots, means y = 0 ... so (x + 10)^3 = 8 ... take cube root ... x + 10 = 2 .. x = -8

x = -8 is a root

Testing other negatives and the y values are not zero but tend toward - infinity.

So the only real zero is x = -8

Similarly for y = (x + 7)^3 +2 = 0

(x + 7)^3 = -2

x + 7 = cube root (-2)

x = -7 + cube root (-2) <<< the only real root

pls hellpppp
The triangles below are similar find Y

Answers

Answer:

15

Step-by-step explanation:

y = 15

The ratio of the corresponding sides of a similar triangle will be constant. Then the length of y will be 15 units.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If the two triangles are similar, the ratio of the corresponding sides will be constant.

Then the ratio will be

22 / 10 = 33 / y = x / 12

From first two terms, we have

22/10 = 33/y

      y = 15 units

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

The mean for this set of data is 18. Which number could be put in the blank to make this statement true?
16 10 22 ___
A. 84
B. 24
C. 48
D. 72

Answers

The answer is B, 24
Because if u do the math it will or should give u that

The mean of the data is 18 and the missing statement is x = 24

What is Mean?

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the data be represented as A

Now , the value of A = 16 , 10 , 22 , x

Let the mean of the data be M = 18

To find the mean of the data set, we need to add up all the numbers and divide by the total number of numbers:

(16 + 10 + 22 + x) / 4 = 18

We can simplify this equation by multiplying both sides by 4 to get rid of the fraction:

16 + 10 + 22 + x = 72

Now we can solve for x by subtracting the three known numbers from both sides:

x = 72 - 16 - 10 - 22

x = 24

Therefore, the number that could be put in the blank to make the statement true is 24

To learn more about mean click :

https://brainly.com/question/15526777

#SPJ2

Hi please help. i’ve been stuck on this for 5 minutes

Answers

It’s 104. You have to add the sides and with that sum. You multiply by 4.

What is the Prime Factorization

Answers

Answer:

for example the PF of 32 is 2*2*2*2*2 or 2^5

Step-by-step explanation:

Answer:

It means the decomposition of a composite number into a product of smaller integers. If these factors are further restricted to prime numbers, the process is called prime factorization.

Which is the graph of y -3= -2/3( x+ 6)?

Answers

Answer:

y= −2/3x−1

Step-by-step explanation:

A team of 6 people is to be chosen from 8 men and 6 women. Find the number of different teams that may be chosen if
(a) there are no restrictions,
(b) there are a husband and wife who must not be seperated,​

Answers

9514 1404 393

Answer:

  a) 3003

  b) 1419

Step-by-step explanation:

a) With no restrictions, the problem amounts to counting the number of combinations of 14 people taken 6 at a time. That is ...

  14!/(6!(14-6)!) = 3003 . . . teams with no restrictions

__

b) With the restrictions, there are two cases:

  (i) all 6 people are taken from the 12 that exclude the couple. That number of combinations is ...

  12!/(6!(12-6)!) = 924

  (ii) 4 people are taken from the 12 that exclude the couple, and the couple fills the last two team slots. That number is ...

  12!/(4!(12-4)!) = 495

The sum of the counts of these two cases is ...

  924 +495 = 1419 . . . teams with inseparable couple

Factor the expression completely. 54 – 24x​

Answers

Answer:

6(9-4x)

Step-by-step explanation:

Factor 6 out of 54-24x, or group and factor out the GCF. Hope this helps!

8-2x=-3+1 solve the question

Answers

8+2= 2x
10=2x
X=10/2
X=5

plz help quick will give brainly
What is the difference between the opposite of 12 and the absolute value of 12? Use a number line to explain.

Answers

Answer:

Opposite 12= -12

Absolute value of 12: Just -12.

Step-by-step explanation:

I don't know.

I need help with A,B and c

Answers

Step-by-step explanation:

a. D( as it has 7 sides)

b. D(as it has 7 sides)

c. B( as it has 9 sides)

Hope it will help you :)❤

An architect draws a plan for a wheelchair ramp on the plan, the ramp is 2cm high and 24cm long what might the dimensions of the actual ramp be (use equivalent ratios)

Answers

Answer:

[tex]Height = 30cm[/tex]

[tex]Length = 360cm[/tex]

Step-by-step explanation:

Given

Scale Measurement

[tex]Height = 2cm[/tex]

[tex]Length = 24cm[/tex]

Required

Determine the possible actual measurement

First, calculate the equivalent ratio.

[tex]Ratio = \frac{Length}{Height}[/tex]

[tex]Ratio = \frac{24cm}{2cm}[/tex]

[tex]Ratio = 12[/tex]

To do this, we pick a scale factor.

Assume the scale factor is 15.

The actual measurement will be:

[tex]Height = 2cm * 15[/tex]

[tex]Height = 30cm[/tex]

[tex]Length = 24cm * 15[/tex]

[tex]Length = 360cm[/tex]

When the scale ratio is calculated, we have:

[tex]Ratio = \frac{Length}{Height}[/tex]

[tex]Ratio = \frac{360cm}{30cm}[/tex]

[tex]Ratio = 12[/tex]

Note that both have the same equivalent ratios of 12.

So, whatever the scale ratio you use, the equivalent ratio will be the same

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