Mathematics High School

is there an error in the work and is the answer extraneous? if so why?​

Is There An Error In The Work And Is The Answer Extraneous? If So Why?

Answers

Answer 1

Answer:

x = 4

Step-by-step explanation:

log₃[1 + log₃(2ˣ - 7)] = 1

log₃[1 + log₃(2ˣ - 7)] = log₃(3)

1 + log₃(2ˣ - 7) = 3

log₃(2ˣ - 7) = 2

log₃(2ˣ - 7) = log₃(3)²

2ˣ - 7 = 9

2ˣ = 9 + 7

2ˣ = 16

2ˣ = 2⁴

x = 4

By putting x = 4 in the original equation,

log₃[1 + log₃(2⁴ - 7)] = 1

log₃[1 + log₃(16 - 7)] = 1

log₃[1 + log₃(9)] = 1

log₃[1 + log₃(3)²] = 1

log₃[1 + 2] = 1

log₃[3] = 1

1 = 1

Therefore, x = 4 is not the extraneous solution and there is no error in your answer.

Related Questions

Please help me thank you so much!!!!!!!!

Answers

2.5m x 2 hope it helps your welcome

Geometry student reference sheet

Answers

Answer:

i am so sorry but i need points a=5

Please help it’s due today

Answers

Answer: C f(x) = 16*(1/2)^ (x-1)

Step-by-step explanation:

You are dividing by 2 each time

The 15th term of an arithmetic sequence is 110 and the 19rd term of the sequence is 134.
a) Find the common difference.
b) Find the first term.
c) What is the 25th term?

Answers

Step-by-step explanation:

a) Common Difference = ?

15th term = 110

19th = 134

134 - 110

= 24/4

= 6

Common Difference = 6

b) First term = ?

110 = x+ (14) 6

x = 110 - 84

x = 26

First term = 26

c) 25th term = ?

= x 25 = 26+ (25)6

= x 25 = 176

25th term = 176.

The radius of the circle is given in meters. What is the circumference of the circle? Use
3.14 for a pi

Answers

Answer:

50.24 meters

Step-by-step explanation:

The equation for the circumference of a circle: 2πr

2 x 3.14 x 8 = 50.24

i need a number for this question !!!! hurry pleasee !!!!!!

Answers

Answer:

1

Step-by-step explanation:

every output has a different input so the answer would be one

Answer:

A function is a specific type of relation in which each input value has one and only one output value. An input is the independent value, and the output value is the dependent value, as it depends on the value of the input.

With a coupon, you can get a pair of shoes that normally costs $96 for $72. What percentage was the discount?

Answers

Answer:

25%

Step-by-step explanation:

96 - 72 = 24

24/96 = 0.25

0.25 = 25%

hope this helps!!

Answer:

The discount is 25%.

Step-by-step explanation:

Because you're solving for the discount, that means you have to set up the equation 72 = 96x, where x is the percent of the original price. The percent would then be 1 - x, and that would be 25% as your answer.

a. What is the circumference of the
largest circle that can be cut from a
square measuring 30 cm on a side?
Use 3.14 for T.


b. What percent of the perimeter of the
square is the circumference of the
circle?

Answers

Answer:

Step-by-step explanation:

a. The diameter of the circle will be 30 cm

So circumference is 3.14 * 30  = 94.2 cm.

b. Required percentage = (94.2) * 100 / (4*30)

= 78.5%.

Match the missing angle measurement to the diagram

Answers

You have to have a picture of the question bro

1/3 x 3/8 with steps please. And thank you.

Answers

Answer:

(1/3) * (3/8) = 1/8

Step-by-step explanation:

Multiple: 1/3* 3/8

= 1 · 3/3 ·8

= 3/24

= 1  3/8·3

= 1/8

PLS HELP FAST WILL GIVE BRAINLIEST

Answers

Answer:

ASA

Step-by-step explanation:

What is 3 divided by 4?

Answers

Answer:

3/4 is 75/100 or 0.75

Step-by-step explanation:

Is the product of two binomials always a trinomial? Give an example to support your answer.

Answers

Answer:

Consider: (a+b)(a-b)=a^2-ab+ab-b^2=a^2-b^2. This is a binomial. Hence, it is not always true that the product of two binomials is a trinomial.

Step-by-step explanation:

(a+b)(a-b)=a^2-ab+ab-b^2=a^2-b^2. This is a binomial. Hence, it is not always true that the product of two binomials is a trinomial.

I need help please! Thank you.

Answers

Answer:

Step-by-step explanation:

< UTY + <RWX = 180°

( same side interior angle theorem ) → < UTY + <RWX = 180°

Jessica has 1,386 books. She must pack them into boxes to ship to a bookstore. Each box holds 10 books. How many boxes will she need to pack all of the books?

Answers

You would divide then round up 1,386÷10= 139

A physicist needs 3,220 g of titanium to complete an experiment. She has 3 kg. How many more
kilograms of titanium does she need?
The physicist needs kg more.
(Type an integer or a decimal.)

Answers

Answer: 0.22kg

Step-by-step explanation:

if she has 3 kg then she has 3000 g. 3220-3000=220 So she needs 220 more grams of titanium. If she needs to convert how much more from grams to kilograms then 220g= 0.22kg so she needs 0.22 kg more

To check work

3kg+0.22kg= 3.22kg

3.22kg= 3,220g

hey guys! Please help this is an important homework grade and could bring me down a lot. If you help I would appreciate it so much. If answer is right I will mark you brainliest. Have a good night.

Answers

Answer:

[tex]y = x - 8[/tex]

Step-by-step explanation:

Slope-intercept form is:

[tex]y = mx + b[/tex]

Where m = slope and b = y-intercept.

It is stated that the slope of the line is 1.

It is stated that the line includes the point (0, 8)

To find the y-intercept, we can just inverse the slope-intercept form to solve for b.

[tex]b =y-mx[/tex]

We know that the point (8, 0) falls on the line, so that's what we'll use for x and y.

Then, we just have to plug those numbers in, as well as the slope.

[tex]b = 0 - (1)(8)[/tex]

Simplify.

[tex]b = 0 - 8[/tex]

Simplify again.

[tex]b = -8[/tex]

Now, we know that b = -8.

All we have left is to plug the slope and y-intercept into the slope-intercept form.

[tex]y = x - 8[/tex]

I will mark Brainlyst

Answers

I think it is D
(I think)

Find the measure of each angle.
Pls help I’m so confused

Answers

Answer:

1: 63°

2: 117°

3: 63°

jjskwnwb

You are a T.V. salesperson who gets an 8% commission. How much commission do you
get when you sell a $400 T.V.?

Answers

Answer:

400 x 8% = $32.00

Step-by-step explanation:

The sum of two numbers is 23. Twice one number increased by 6 is the same as 4 times the other number decreased by 2. What is the largest of the two numbers?

Answers

Answer:

32.5

Step-by-step explanation:

23x6÷4-2 and that's how you get your answer

???????????????????????????????????

Answers

Answer:

[tex]\displaystyle \sqrt{34}\:units ≈ 5,8\:units[/tex]

Step-by-step explanation:

No matter what happens to the shape, except for dilation, the sise will be the same, so just insert the lengths of the altitude and base into the formula, no matter if it is point D or B because of the Reflexive Property:

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 3^2 + 5^2 = c^2 → 9 + 25 = c^2 → 34 = c^2 \\ \\ \sqrt{34} = \sqrt{c^2} \\ \\ 5,830951895 ≈ c → 5,8 ≈ c[/tex]

I am joyous to assist you at any time.

Please tell me the steps to get to the answer.​

Answers

Answer:

10 cm x 15 cm i think

Step-by-step explanation:

Answer:

Area = 1/2 bh

Step-by-step explanation:

10 x 15 = 150/2 which is 75

In ΔSTU, the measure of ∠U=90°, ST = 67 feet, and TU = 14 feet. Find the measure of ∠T to the nearest degree.

Answers

Answer:

78

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

ok, I need help now! this is due very soon. please no spam, I need an actual answer.


Find the perimeter of the trapezoidal brick to the nearest tenth of an inch.

Answers

In order to do this you would have to use the Pythagorean Theorem which is a^2 +b^2 =c^2. Because we know that the top line is equal to 5 inches then you can assume that the line from the line that equals 3 inches to the left bottom left corner of the trapezoid equals 2 inches because this trapezoid is signifying that both sides are equal. So then you would use the Pythagorean Theorem to find the two unknown sides by doing 2^2 +3^2=c^2 when you combine like terms, it comes out to be 13=c^2 which when you square root it, equals about 3.6. So then you know that each of the unknown sides equal 3.6, so then you add them all up to get 3.6+5+3.6+9=21.2 inches Hope this helps

PLEASE, help! thank u
4th time

Answers

Answer:

I do not no the answer but I had an assignment on khan like this before so maybe check khan academy if u haven't yet

Remember that vertical angles are congruent and same side exterior angles are congruent, and that suppelmentary angles are 180° total.

A team can spend no more than $300 on shirts. The team has already spent $80. How many shirts for $15 each can they still buy?​

Answers

Answer:

80 + 15x ≤ 300

Step-by-step explanation:

max amount = $300

already spent = $80

$300 - 80 = $220

shirts = $15 each

80 + 15x ≤ 300

$80 that is already spent + $15x ≤ $300 maximum

x = number of shirts

A mirror is placed on the ground between a 6 ft person and a
tree. If the mirror is 8 feet from the person and the distance
between the mirror and tree is 26 feet, find the height of the tree.

Answers

Answer:

Step-by-step explanation:

h/26=6/8

h=26(6)/8

h=19.5 ft

Need help ASAP!!!!!!!!

Answers

Answer:

24/35

Step-by-step explanation:

Help plz Its due today and I need help so if u would plz answer I would appreciate it

Answers

The answer is C because u have to combine the like terms in this problem you would subtract the two problems
Other Questions
how does the mother's health affect the condition of her baby during the entire duration of pregnancy? Thomas Jefferson wrote the Declaration of Independence. What principles did Jefferson use to justify the colonists breaking away from Great Britain? What is the formula of calculating the surface are of cuboid ? - Mathematics #3 The speed of sound is 346 m/s. If a sound wave travels at a frequency of 55 Hz, what would its wavelength be?#4 If the same wave in question #3 travels through water with the same wavelength, at what frequency will it be traveling? (speed of sound in water = 350 m/s) Hiiiooo! Can somebody please help me! Much loveThank you!! :D Identify the coefficients in the expression 4a + 15-3k * Delvin conduct a scientific experiment for a certain time the temperature of a compound rose 1 3/4 every 2 1/3 hours how much is the temperature of the compound rise in one hour? Who do you think benefits the most from industrialization? Who do you think benefits the least from industrialization? Which triangle is a 30-60-90 triangle?10ch55/31555310O 510./315105/3 Explain ways how baptism shows that a person has entered the life of the Trinity. Due in 30 minutes I only need part a, if you want to answer part b as well go ahead could really use the help 4e-12=36 how do u solve this Which statement best describes an advantage of direct democracy overindirect democracy? what is the value of this example? [tex] \frac{1}{6} | \div 12[/tex] Im stuck I need some help Which one of these represents the graph in this picture right here ? A,B,C,D,E or F? PLEASE HELP In which table does y vary directly with x? Q6 A man is going to New York for work. He wantsto book a hotel online.A friend says"Remember the booking website will show the price in dollars. It will actually cost morepounds than the price shown, because of the exchange rate.'The man checks the exchange rate because he thinks his friend is wrong. He thinks thatthe number of pounds will be less than the number of dollars shown.Exchange rate1 = $1.24Who is right,the man or his friend?Explain your answer. 2. Tell us what you'd like to major in at Cornell, and why or how your past academic or work experience influenced your decision, and how transferring to Cornell would further your academic interests. PLEASE HELP ME. I will give Brainlest