solve the log equation

Solve The Log Equation

Answers

Answer 1

Answer:

x = -5

Step-by-step explanation:

log5((5-3x)/((7+x)^2))=1

(5-3x)/(7+x)^2 = 5

5-3x = 5x^2+70x+245

5x^2+73x+240=0

x= -5, x= -48/5

-48/5 is extraneous

x = -5


Related Questions

12. Graph each using graph paper:

X<5

Answers

Answer:

Step-by-step explanation.

Help help help math math

Answers

Answer:

gradient M = 4

Step-by-step explanation:

pick any two pairs

M= change in Y / change in X

considering the last pairs

3--1/0--1=4✓

considering first pair

-1--5/-1--2 is also 4✓

I hope it helps

18) Jacob is trying to decide whether to attend akeshore University or Bayside University. He
likes both schools equally, and both schools sent him letters of acceptance. Recently
Lakeshore University raised its tuition by 6%. Which statement is most reasonable in this
situation?
a) Jacob should attend Bayside University since it will be less expensive.
b) Jacob should gather more information about tuition before making a decision.
c) Jacob should not worry about a 6% tuition increase since this is a small percent.

Answers

Answer: B

Step-by-step explanation: Jacob doesn't know either colleges' actual price. Bayside could still be equal to or more expensive than Lakeshore.

a parking garage charges $4 for the first hour and $1.50 for each additional hour. sydney has 13$ in her purse

Answers

Answer:

7 hours

Step-by-step explanation:

Answer:

she could park there for 7 hours

Step-by-step explanation:

13-4=9 9/1.50=6

Solve the equation for solutions over the interval ​[0​°, 360°​).
[tex]tan^{2}x + 7 tanx +8 =0[/tex]

Answers

Answer:

[tex]x=98.13^\circ,135^\circ,278.13^\circ,315^\circ[/tex]

Step-by-step explanation:

[tex]tan^2x+7tanx+8=0,[0^{\circ},360^\circ)[/tex]

[tex]tan^2x+7tanx+8=0[/tex]

[tex]u=tanx[/tex] <-- U-substitution

[tex]u^2+7u+8=0[/tex]

[tex](u+7)(u+1)=0[/tex]

[tex](tanx+7)(tanx+1)=0[/tex] <-- Replace u with tanx

[tex]tanx+7=0[/tex]

[tex]tanx=-7[/tex]

[tex]x=98.13^\circ,278.13^\circ[/tex]

[tex]tanx+1=0[/tex]

[tex]tanx=-1[/tex]

[tex]x=135^\circ,315^\circ[/tex]

Therefore, [tex]x=98.13^\circ,135^\circ,278.13^\circ,315^\circ[/tex]

Help help math math math

Answers

Answer:

Yes, this is a function

Step-by-step explanation:

You know this because it passes the vertical line test.

I hope this helps!

Answer:

Function

Step-by-step explanation:

a recipe calls for 2 cups of flour for every 3 cups of sugar. If you are planning to use 5 cups of flour, how many cups of sugar should you use

Answers

Answer:

7½ cups of sugar

Step-by-step explanation:

2 cups of flour needs 3 cups of sugar

1 cups of flour needs 3/2=1.5 cups of sugar

1×5 cups of flour needs 1.5×5=7.5 cups of sugar=7½ cups of sugar ANS

help plssssssssssssssssss

Answers

Answer:

Diagonal and horizontal lines

Step-by-step explanation:

To answer this question it is first important to know what a function is. A function is a relationship that has a singular y value for each x-value. This means that x-values will never repeat.

Linear functions are functions that increase in a constant way. Meaning that the slope of the line is constant and there is a common difference between the points. Because the change is constant, there is no change in direction. Thus, the function will be one straight line.

This line can obviously be diagonal because a diagonal line has unique x and y values. However, the line can also be horizontal. Horizontal lines many have repeating y-values but because the x-values don't repeat it is still a function. This reason is also why vertical lines are the only straight line to not be a liner function. In vertical lines, the x-values repeat. So, it does not work as a function.

The owner of a small store buys coats for 55.00 each

He sells the coats for 66.00 each

Answers

he must buy 24 jackets to get atheist 260 dollars

What is the gradient?

Answers

Answer:

The gradient is negative.

Step-by-step explanation:

The gradient represents the rise/run ratio. Always read the line's path left to right, and if it goes up, then it is positive, down means negative gradient, and if it doesnt move then it 0. It is undefined if the line is vertical.

2) through: (-4, 5) and (-5,0
what is the slope intercept form of the line

Answers

Answer:

hello

Step-by-step explanation:

say hell-o

It takes cadence 36 hours to read 12 books. Write a unit rate that models the situation.

Answers

Answer:

three hours every 1 book

Step-by-step explanation:

36-12

6-2

3-1

The sum of 21 and n is equal to 43.23

please help me!!!
I’ll give out 30 points!!!

Answers

Equation: 21+n=43.23

Process to find n

21+n=43.23
Subtract 21 from both sides
n=22.23

Answer:

n=22.23

Step-by-step explanation:

21+n=43.23

-21 to both sides

0+n=22.23

n=22.23

what is the point slope equation of the line that has a slope of 1/8 and goes through the point (2,-3)

Answers

Answer:

Step-by-step explanation:

(y + 3) = (1/8)(x - 2)

In one week, a farmer sells pumpkins to 60% of his customers.

If 720 customers purchase pumpkins, how many total customers does the farmer have?

Answers

Answer:

1,200

Step-by-step explanation

Multiply 720 and 100 = 72,000

Divide by 60 = 1,200

Answer:

The answer is 1,200

Step-by-step explanation:

First Multiply 720 and 100 which = 72,000

Then Divide 72,000 by 60 = 1,200

If you connect the points where Muntinlupa City and Teresa, Rizal are located, what is the slope of the line formed from the two given places?

Answers

Using it's formula, it is found that the slope of the line formed from the two given places is of [tex]\mathbf{\frac{6}{7}}[/tex]

Given two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex], the slope is given by change in y divided by change in x, that is:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

In this problem:

Muntinlupa is at (-1,-4);Teresa, Rizal is at (6,2).

Hence, applying the formula for the slope, considering [tex](x_1, y_1) = (-1, -4)[/tex] and [tex](x_2,y_2) = (6,2)[/tex]:

[tex]m = \frac{2 - (-4)}{6 - (-1)} = \frac{6}{7}[/tex]

The slope is of [tex]\mathbf{\frac{6}{7}}[/tex]

A similar problem is given at https://brainly.com/question/5427529

The question in the picture​

Answers

1/27

Explanation:

You would multiply to get to the answer.                                                                                    

It’s blurry?…. Better picture

please helppppppppppppp ASAP. please ensure to use step by step explanation. thanks.

Answers

I'll do the first two parts to get you started.

=====================================================

Part (i)

We can show that the operation [tex]\nabla[/tex] is not commutative by picking two random and different real numbers for a,b. In other words, I'm using a counter-example.

Let's say we go for a = 1 and b = 2

[tex]a \nabla b = \frac{3a+b}{5} - 1\\\\1 \nabla 2 = \frac{3*1+2}{5} - 1\\\\1 \nabla 2 = \frac{5}{5} - 1\\\\1 \nabla 2 = 1 - 1\\\\1 \nabla 2 = 0\\\\[/tex]

Now let's swap the values. We'll try a = 2 and b = 1

[tex]a \nabla b = \frac{3a+b}{5} - 1\\\\2 \nabla 1 = \frac{3*2+1}{5} - 1\\\\2 \nabla 1 = \frac{7}{5} - 1\\\\2 \nabla 1 = 1.4 - 1\\\\2 \nabla 1 = 0.4\\\\[/tex]

We can see that [tex]1 \nabla 2[/tex] and [tex]2 \nabla 1[/tex] are not the same value. In general, [tex]a \nabla b \ne b \nabla a[/tex] Therefore, the operation [tex]\nabla[/tex] is not commutative.

The only time [tex]a \nabla b = b \nabla a\\\\[/tex] is true is when [tex]a = b[/tex], since,

[tex]\frac{3a+b}{5}-1 = \frac{3b+a}{5}-1\\\\\frac{3a+a}{5}-1 = \frac{3a+a}{5}-1\\\\\frac{4a}{5}-1 = \frac{4a}{5}-1\\\\[/tex]

It's when [tex]a \ne b[/tex] is where the operation becomes noncommutative.

Another way to arrive at the [tex]a = b[/tex] condition is to solve the original equation for either 'a' or b.

=====================================================

Part (ii)

Using the previous part as inspiration, we'll do a counter-example to show that the operation is not associative. Pick 3 random values for a,b,c. Here are the values I'll pick.

a = 1b = 2c = 3

Then,

[tex]d = b \nabla c = \frac{3b+c}{5}-1 = \frac{3*2+3}{5}-1 = 0.8\\\\a \nabla (b \nabla c) = a \nabla d = \frac{3a+d}{5}-1 = \frac{3*1+0.8}{5}-1 = -0.24\\[/tex]

Next, we can say:

[tex]d = a \nabla b = \frac{3a+b}{5}-1 = \frac{3*1+2}{5}-1 = 0\\\\(a \nabla b) \nabla c = d \ \nabla c = \frac{3d+c}{5}-1 = \frac{3*0+3}{5}-1 = -0.4[/tex]

Let's compare the two outputs:

[tex]a \nabla (b \nabla c) = -0.24\\\\(a \nabla b) \nabla c = -0.4[/tex]

They don't match up, so [tex]a \nabla (b \nabla c) \ne (a \nabla b) \nabla c[/tex] when (a,b,c) = (1,2,3).

In general, the operation is not associative in R.

A number is between 63 and 68 It has prime factors of 2 and 11 whats the number

Answers

Answer:

66

Step-by-step explanation:

66 is the only number between 63 and 68 that is divisible by both 2 and 11.

66/2=33   66/11=6

Explain this picture ​

Answers

Answer:

It's A bar graph but I got to see the question to be for sure but its a bar graph and it helps you  measure rates of things from numbers , months , years etc .

Step-by-step explanation:

3x+4y+6z=15
Solve for x.​

Answers

Answer:

[tex]x = 5 - \frac{4}{3} y - 2z [/tex]

Step-by-step explanation:

Question:-To solve for x

Equation:-3x + 4y + 6z = 15

Solution:-

=> 3x + 4y + 6z = 15

[On subtracting both sides with 4y]

=> 3x + 4y + 6z - 4y = 15 - 4y

[On Simplification]

=> 3x + 6z = 15 - 4y

[On subtracting both sides with 6z]

=> 3x + 6z - 6z = 15 - 4y - 6z

[On Simplification]

=> 3x = 15 - 4y - 6z

[On dividing both sides with 3]

[tex] = > \frac{3x}{3} = \frac{15 - 4y - 6z}{3} [/tex]

[On Simplification]

[tex] = > x = 5 - \frac{4}{3} y - 2z \: (ans)[/tex]

[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\huge\bold\orange{QUESTIONS:}[/tex]

3x+4y+6z=15 Solve for x.

[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\huge\bold\orange{ANSWER:}[/tex]

[tex]x = 5 - \frac{4}{3} y - 2z[/tex]

[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\huge\bold\orange{SOLUTION:}[/tex]

[tex]3 \orange{+ 4y + 6z = 15}[/tex]

Move the variables to the right-hand side and change their signs.

[tex]3x = 15 \orange{ - 4 - 6z}[/tex]

Divide both sides of the equation by 3

[tex]\orange{3x = 15 - 4 - 6z}[/tex]

[tex]↓[/tex]

[tex]\orange{x = 5 - \frac{4}{3} y - 2z}[/tex]

The x-intercepts of 3x+4y+6z=15 is

[tex]x = 5 - \frac{4}{3} y - 2z[/tex]

[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

#CarryOnlearning

Randy can run six-tenths of a mile every 4 minutes, but it takes Julie 5 minutes. By the time Julie has run for 20 minutes, how far has Randy run?

A
1.8 miles

B
2.4 miles

C
2.6 miles

D
3 miles

Answers

Answer:

D!!!

Step-by-step explanation:

you have to make a table to see that randy has run 3 miles.!!!

Answer: D is the correct answer!

Step-by-step explanation: Like the one above me!

Rewrite the quadratic function f(2) = 5x2 + 10x – 8 in standard form, f(x) = a (x – h)? + k, and give the vertex.

Answers

Answer: [tex]f(x) = 5(x+1)^{2} - 13[/tex]

Vertex = (-1, -13)

Step-by-step explanation:

[tex]f(x) = 5x^{2} + 10x - 8\\f(x) = 5(x^{2}+2x)-8\\f(x) = 5(x^{2}+2x+1-1)-8\\f(x) = 5((x+1)^{2}-1)-8\\f(x) = 5(x+1)^{2}-5-8\\f(x) = 5(x+1)^{2}-13[/tex]

Vertex = (h, k) = (-1, -13)

Find the area of the composite figure.
Next, find the area of the parallelogram.
Triangle
Area = 77 cm
7 cm
Parallelogram
Area = [?] cm2
9 cm
Total Area of
Composite Figure = [ 1 cm2
22 cm

Answers

Answer:

Step-by-step explanation:

trapezoid is a 4-sided figure with one pair of parallel sides. For example, in the diagram to the right, the bases are parallel. To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula looks like this:

area_trapezoid1.gif or area_trapezoid2.gif

Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height and · means multiply.

Each base of a trapezoid must be perpendicular to the height. In the diagram above, both bases are sides of the trapezoid. However, since the lateral sides are not perpendicular to either of the bases, a dotted line is drawn to represent the height.

MATHS QUESTIONS PLEASE SOLVE

1. 121 Divided by 11 is

11

10

19

18





2. 60 Times of 8 Equals to

480

300

250

400





3. Find the Missing Term in Multiples of 6 : 6, 12, 18, 24, _, 36, 42, _ 54, 60.

32, 45

30, 48

24, 40

25, 49





4. What is the Next Prime Number after 7 ?

13

12

14

11





5. The Product of 131 × 0 × 300 × 4

11

0

46

45




6. Solve 3 + 6 × ( 5 + 4) ÷ 3 - 7

11

16

14

15





7. Solve 23 + 3 ÷ 3

24

25

26

27





8. What is 6% Equals to

0.06

0.6

0.006

0.0006





9. How Many Years are there in a Decade?

5 years

10 years

15 years

20 years





10. How Many Months Make a Century?

12

120

1200

12000

Answers

1. 11
2. 480
3. 30, 48
4. 11
5. 0
6. 14
7. 24
8. 0.06
9. 10 years
10. 1200

Ratio. Proportion and many method d) 15 workers were employed to complete a piece of work in 36 days. How many more workers should be added to complete the work in 30 days?​

Answers

Answer:

Step-by-step explanation:

total of 15(36) = 540 person•hours was used

540 / 30 = 18 people

18 - 15 = 3 people need to be added

5x + 3y = 41
2x + 3y = 20
show me step by steps how to do this

Answers

Answer:

The answers are:

x = 7y = 2Step-by-step explanation:

5x + 3y = 41

2x + 3y = 20

=> 5x + 3y = 41

           -2x - 3y = -20

=> 3x = 21=> x = 7

=> 5(7) + 3y = 41

=> 35 + 3y = 41

=> 3y = 41 - 35

=> 3y = 6

=> y = 2

Conclusion:

Therefore, the answers are:

x = 7y = 2

Hoped this helped

[tex]-BrainiacUser1357-[/tex]

Answer:

Step-by-step explanation:

It looks like you need to solve this system of equations.

That means we need to find a value for x and a value for y that makes both equations true.

Since both equations have a 3y in them, this system is ready to use a method called "elimination method"

Since the x terms are lined up, and the y terms are lined up, the equal signs are lined up, and the constants are lined up...you can subtract the bottom equation from the top equation.

5x + 3y = 41

2x + 3y = 20

Subtract and you will get

3x + 0y =21

We don't need to write that 0y, because it is 0.

3x = 21, now divide by 3

x = 7, almost finished!

Use x = 7 in either of the original equations to find y.

5x + 3y = 41 and x = 7

5•7+ 3y = 41

35 + 3y = 41

-35 -35

3y =6

y = 2

So the solution is x=7 and y=2

That can also be written as an ordered pair (7, 2)

Please please help me​

Answers

[tex]1)3k - 2k \\ = k(3 - 2) \\ = k(1) \\ = k[/tex]

[tex]2) {5x}^{2} - 10x - {8x}^{2} + x \\ = {5x}^{2} - {8x}^{2} - 10x + x \\ = - 3 {x}^{2} - 9x \\ = - 3x(x - 3)[/tex]

[tex]3) - (m + n) + 2(m - 3n) \\ = - m - n + 3m - 6n \\ = - m + 2m - n - 6n \\ = m - 7n [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

From the graph, which statement is correct if x^2 – 13x + 22 ≤ 0?

A) 2 ≤ x ≤ 11
B) –11 ≤ x ≤ –2
C) x ≤ 2 or x ≥ 11
D) x ≥ 2 or x ≤ 11

please only reply if you know the answer!!

Answers

Answer:

a

Step-by-step explanation:

(x-2)(x-11) less than or equal to 0

which means x is between 2 and 11 when it is less than 0

Translate the sentence into an equation using n as the unknown number. Then solve the equation for n.

5 increased by half a number is 11.

a.
5 + 0.5n = 11
n = 12
c.
5(0.5n) = 11

n = 4.4

b.
5n + 0.5 = 11
n = 2.1
d.
5n +0.5 = 11
n = 12



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

the answer is A)5+0.5n=11

Step-by-step explanation:

5 is increased by half a number, so half of. a number(n) is added to 5

Answer:

D is correct

Step-by-step explanation:

I hope this helps

5 increased by half a number is 11.

5 increased by half a number is 11. 5 + 1/2n = 11 where n is the unknown number. 1/2n = 11 - 5 = 6 n = 6 * 2 = 12 The number is 12.

Other Questions
divide x +x +1 by x+ 1 by long division method QUESTION 20 PLEASE HELPPPP ASAPPPP did harry connick jr shave his head for annie role Write a paragraph stating the difference between the position of Indian President andAmerican President.(H.O.T.S) He _____ to music at the moment. * 1 listening listens listen is listening Choose the best option to complete each of the following sentences.1. I ____ a multilingual dictionary. Use it if you need to look up a new word in any languages.A. have B. is having C. owe What was Sutter trying to do when his men found gold? help ASAP please hmmmm Which do you believe applies to this text? Please explain your reasoning. The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled I need Unit 3 parallel and perpendicular lines Homework 5 slope of lines its due today! He stays up late (because or so) he makes the cake,So or because??Plssss help will give brainliestEvaluate.(16+0.6(13)+1)2What is the value of the expression?Enter your answer as a simplified fraction in the box. From a can containing 10 liters of milk, mrs menon used 3.8 litres in the morning and 2.3 litres in the evening how many hectolitres of milk is in the can?Plz write the steps cause i want to understand it bcuz tomorrow is my exam a new machine with a purchase price of $109,000, with transportation costs of $12,000, installation costs of $5,000, and special acquisition fees of $6,000, would have a cost basis of: Identify the words with a similar denotation as terrified.options:frightenedhesitantanxiousscared A fish swims 6 feet directly above a scuba diver. The fish suddenly dives to triple its depth under the surface of the ocean. The fish dives to a depth of 51 feet.What is the position of the scuba diver relative to the surface of the ocean?Choose from the drop-down menu to correctly complete the statement.The position of the scuba diver is [ 1 - - - ] feet [ 2 - - - ] sea level.1. 11, 15, 19, 232. Above, Below listen to the a and b sections of rejoice greatly from handels messiah. which best describes the b section? An unknown substance has a boiling point of 174C. Which statement is true about this unknown substance?a) It has a higher boiling point than water, and it likely has stronger electrostatic forces between its molecules than water.b) It has a higher boiling point than water, and it likely has weaker electrostatic forces between its molecules than water.c) It has a lower boiling point than water, and it likely has weaker electrostatic forces between its molecules than water.D) It has a lower boiling point than water, and it likely has stronger electrostatic forces between its molecules than water. Briefly explain, using paraphrased text support and a quote, why you believe Nye chose prose to convey her ideas in the story, "Allied with Green."