logb(x-1) + logb(x+2) = logb(8-2x)

Answers

Answer 1

Answer:

x=2

Step-by-step explanation:

log_x(y)+log_x(z)=log_x(yz), so logb(x-1) + logb(x+2)=logb((x-1)(x+2)). next subtract logb(8-2x) from both sides to get logb((x-1)(x+2))-logb(8-2x)=0. log_x(y) - log_x(z) = log_x(y/z). so now we have logb((x-1)(x+2)/(8-2x)). now you can put it into exponential form: (x-1)(x+2)/(8-2x)=b^0=1 now just solve for x:

(x-1)(x+2)= 8-2x, x^2 + x -2 = 8-2x, x^2 + 3x -10 = 0, (x+5)(x-2)=0 x=-5, x=2. plug both into the original equation to check which one is correct, since log_x(y) can't have a negative y, x=-5 doesnt work


Related Questions

Calculate the frequency of a wave with a speed of 250m/s and a wavelength of 50m.


HELPPPPPPPPPPPPPPPPPPPPPPPP PLS

Answers

Answer:

formulas

frequency=speed/wavelength

f=250/50

f=50hz

Solve the slope for the table.

Answers

Answer:

5

Step-by-step explanation:

Change in Y / Change in X = Slope

5/1 = 5

please help and show work​

Answers

Answer:

When solving a rational equation, start by grouping or canceling out like terms. So cancel out x on the numerator and denominator of 2+7x/x. While the equation itself results in a contradictory statement - 5=9, the first step to figuring this out would be canceling out x.

if 4 friends have 8 apples how many will each friend get

Answers

2 because 8 divided by 4 is 2.

Answer:

2

Step-by-step explanation:

8/4 is 2

Gina wants to make muffins. The recipe for blueberry muffins calls for 2 3/4 cups of flour. The recipe for cornmeal muffins calls for 1 2/3 cups of flour. How many more cups of flour would Gina need for blueberry muffins than corn muffins?

Answers

Answer:

1 1/12

Step-by-step explanation:

You take 2 3/4 and subtract it by 1 2/3

Make them into improper fractions 11/4 - 5/3

you multiply 11/4 by 3 and 5/3 by 4 to get a common denominator

you get 33/12 - 20/12 and get 13/12

then make it a mixed number

hope this helps :)

With the following cards, {blue, green, yellow, blue, red, pink} LaTrice created a sample space. From her chart what is the probability of NOT drawing a red card at all?

Answers

The probability of her NOT drawing a red card are very likely

Write an algebraic expression to represent the verbal statement: The product of the difference of m and 7 and 6.

Answers

Answer:

(m-7) * 6

Step-by-step explanation:

you follow the statement from left to right. You see that there's a product so you write a product sign

*

then you know its the difference of m-7 on one side and 6 on the other getting

(m-7) * 6

A function is represented by the values in the table.
THIS FUNCTION REPRESENTED IN THE TABLE (CHOOSE IS or IS NOT) LINEAR PIC BELOW

Answers

Answer:

IS LINEAR

Step-by-step explanation:

Find and intercept the slope of this line.

Answers

Step-by-step explanation:

the 4th answer option is correct.

the slope of the line is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.


A 150-pound person uses 4.8 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 250
calories?

Answers

Answer:

52.083

Step-by-step explanation:

1 min = 4.8 calories

? min=250calories

at the age speed

250/4.8 calories

=52.083min

PLEASE HELP ME 20 POINTS



Determine the x- and y-intercepts of the graph of X-4y=8

Answers

Answer:

x- intercept = 8 , y- intercept = - 2

Step-by-step explanation:

To find the x- intercept, let y = 0 in the equation and solve for x

x - 4(0) = 8

x - 0 = x

x = 8 ← x- intercept

To find the y- intercept, let x = 0 in the equation and solve for y

0 - 4y = 8

- 4y = 8 ( divide both sides by - 4 )

y = - 2 ← y- intercept

HELP QUICKKKKKKKKKKKKKKKKKKKKKKKKKKKK

Answers

Answer:[tex]7 x \frac{2}{} [/tex][tex]-20[/tex][tex]4x[/tex]Brainly.com

Answer:

a is 7 b is 4 and c is -20

Step-by-step explanation:

it is always in order of a b and c

Justine and Kate are training for a race.
At every training session Justine runs x miles and Kate runs 3 more miles than Justine.
In one week, Justine and Kate both train every day.
In the 7 days they run 63 miles in total between them.
How many miles do Justine and Kate each run per day?

Answers

Answer:

Justine runs 3 miles a day and Kate runs 6 miles a day.

Step-by-step explanation:

x = number of miles ran in a day

x(7) + (x+3)(7) = 63

7x + 7x + 21 = 63

14x + 21 = 63

14x = 42

x = 3

3 + 3 = 6

Justine runs 3 miles a day and Kate runs 6 miles a day.

A recipe calls for 15 cup of milk for every 28 cup of flour. If Kenny wants to double the recipe, how many cups of flour will he need?

Answers

Answer:

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

well if the recipe is 28 cups of flower, and he wants to double it, Then its 56, the milk is extrenuis info.

x-2y > -8
x + y >1
A. (-5,3)
B. (0,5)
C. (3,-5)
D. (4,0)

Answers

Answer:

A. (-5,3)

Honestly, that is pretty much it and uh.Yeah

Write the equation of the line in fully simplified slope-intercept form. Y intercept is -6

Answers

The answer would be y= 2/3x -6

Answer:

y = 2/3x-6

Step-by-step explanation:

up 2, right 3

The perimeter of the table shown is 16 feet. Write an equation in the form px+q=r to solve for x.

Answers

p = 2

q = 6

r = 16

x = 5 feet

Step-by-step explanation:

The perimeter of the rectangle is

In your case,

Width = 3 feet

Length = x feet

So, the perimeter is

Since the perimeter is 16 feet, we have

Hence,

p = 2

q = 6

r = 16

Solve this equation for x:

solve the equation: 4) 12
Ani2n 12)
417
Step 1: Use the distributive property
Step 2: Subtract n from both sides
63
41
Step 3: Simplify:
311
Step 4: Divide both sides by 3
301
3
Step 5: Simplify.
Check the solution to the example problem by replacing
z in the original equation with - 2 and evaluating both
sides. What true statement do you get?
to climinate the fraction in

Answers

Answer:

not clear enough

Step-by-step explanation:

pls help me rnnn and dont u dare to put links

Answers

Answer:

g=4, h=2

Step-by-step explanation:

Answer:

[tex]g=4, h=2[/tex]

Step-by-step explanation:

First, put them together. 6g+-6 gets rid of g to leave the rest: 10h=20

Then, just divide 10h by 10 to get h alone. h=2

Plug it in 6g+8h=40

6g+16=40

 -16    -16

6g=24

g=4

So the answer is g=4, h=2

Have a great day! :))

Please help me solve this problem asap!

Answers

Dilation and rotation.

What’s 568 divided by 7

Answers

81.14


568 divided by 7 = 81.14

the quotient of a number and 12 - 3 is -4

Answers

Answer:

-36

Step-by-step explanation:

12 - 3 = 9, so if the quotient of a number (let's call it x) and 9 is -4, we can create the following equation:

x ÷ 9 = -4

So, if we multiply both sides by 9, we get:

x = 9 * -4 which is -36.

Ali walks 256km and Ahmed walks 112km. How much did they walk altogether? Give answer as a mixed number in its lowest term

Answers

Solution:Ali walks 2 5/6 km and Ahmed walks 1 1/2 km.Therefore, the distance they walked altogether

= (2 5/6+ 1 1/2) Km = (17/6+3/2) Km = 4 1/3 Km

Answer:

They walked 4 1/3 Km altogether.

Hope it helps.

Do comment if you have any query.

what are possible ratios for 16 to 32

Answers

Answer:

1:3

Step-by-step explanation:

To simplify the ratio 16:32, we find the greatest common divisor of 16 and 32, and then we divide 16 and 32 by the greatest common divisor.

The greatest common divisor that you can use to simplify 16:32 is 16. Which means the answer to ratio 16:32 simplified is: 1:2

Hope it helps

what is 90 plus 60 plus 7x-12

Answers

[tex]90+60+ 7x -12 = 7x+138[/tex]

parallel perpendicular or neither

Answers

Answer:

Parallel

Step-by-step explanation:

Line A can be simplified to 1/5x = y.

Line B can be simplified to y = 1/5x + 16.

They both have the same slope, 1/5, so they will be parallel.

Answer:

Parallel

Step-by-step explanation:

Same thing as the last one. Put it in [tex]y=mx+b[/tex]

A: [tex]y=1/5x[/tex]

and

B: [tex]y=1/5x+16[/tex]

These lines are parallel because they have the same slopes, but different y-intercepts.

BRAINLIEST
Please help only three questions

Answers

Answer:

5. x=21.9 units

6. x=14 units

7. x=31.7 units

Step-by-step explanation:

5. Assuming that the line through the middle of the triangle in 5, we can split the 18 units side into 9 and 9. Using pythagorean theorem (a^2+b^2+c^2), we can find that x is equal to [tex]\sqrt{81+400}[/tex] making x [tex]\sqrt{481}[/tex]. Rounding to the nearest tenth, we get x is about 21.9 units

6. By doing pyth. th. on one of the triangles, we get sqrt(361-289) which is sqrt(72), which is about 8.5 units. Subtracting 8.5*2 from 31, we get 14 for x

7. by doing pyth th on the smaller triangle, we get sqrt 228 and now we can do pyth th again with 28 (44-16) and sqrt228, which turns out to be sqrt (784+228) which is sqrt (1002), which when rounded the nearest tenth is 31.7

Good Luck!

Answer:

Step-by-step explanation:

5.

So 18 is cut in half and forms 2 simmetrical right-triangles, yes? Yes.

So, if 20 is one of the collared, 9 will be the other collared and x will be the hypotenusa right? right.

x² = 20² + 9²

x² = 400 + 81

x² = 481

x = [tex]\sqrt{481}[/tex]

x =~ 21.93

x = 21.9

6.

Here we can se a square and 2 simmetrical triangles and if the hypo of one of them is 19 the other will also be etc. So for the small triangles:

y² = 19² - 17²

y² = 361 - 289

y² = 72

y = [tex]\sqrt{72}[/tex]

y =~ 8.48

x = 31 - (2 * 8.48)

x = 31 - 16,96

x = ~14,04

x = 14.0

Tell whether the rates are equivalent.

0.8 kilometer for every 2 minutes

0.2 kilometer for every 0.5 minute

Answers

Answer:

Yes.

Step-by-step explanation:

0.5 minutes is 1/4 of 2 minutes.

0.2 is also 1/4 of 0.8

you get what I'm sayin?

Angles of a triangle worksheet
I got most of it but still confused on the rest… anyone got answers ASAP!

Answers

Answer:

I wish a could help u,

Step-by-step explanation:

I dont know what is that:)

65 - 2x ≥ 150, whats the answer!!!

Answers

Answer:

x <= -42.5

Step-by-step explanation:

65 - 2x >= 150

-2x >= 150 - 65

-2x >= 85

2x <= -85

x <= -85/2

x <= -42.5

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