-x^2+15x-44
factor the equation

Answer:

[tex]b = 8[/tex]

Step-by-step explanation:

First, cross multiply across the equal sign. Note that what you do to one side, you do to the other:

[tex](b+10)(2b-7)(\frac{8}{b+10}) = (\frac{4}{2b -7})(b+10)(2b-7)\\ \\(2b -7)(8) = (4)(b+10)[/tex]

Next, distribute 8 and 4 to their corresponding parenthesis:

[tex]8(2b -7) = 16b - 56\\4(b + 10) = 4b + 40[/tex]

[tex]16b - 56 = 4b + 40[/tex]

Next, isolate the variable, b. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 56 and subtract 4b from both sides:

[tex]16b (-4b) - 56 (+56) = 4b (-4b) + 40 (+56)\\16b - 4b = 40 + 56\\12b = 96[/tex]

Isolate the variable, b. Divide 12 from both sides:

[tex]12b = 96\\\frac{12b}{12} = \frac{96}{12} \\b = \frac{96}{12} \\b = 8[/tex]

[tex]b = 8[/tex] is your answer.

~

Answer:

( - infinity, 3.75)     x < 3.75

Step-by-step explanation:

x - 4 < 11 - 3x

x < 15 -3x

4x < 15

x < 3.75

Answer:

Step-by-step explanation:

Number of days = y

Number of weeks = x

1 week = 7days

Formula = 7x = y

13 weeks = 7(13) = 91 days

29 weeks = 7(29) = 203 days

7.5 weeks = 7(7.5) = 52.5 days

Answer: two hundred thirty-eight thousand nine, (2 x 100,000) + (30 x 10,000) + (8 x 1,000) + (9 x 1). doscientos treinta y ocho mil nueve, (2 x 100.000) + (30 x 10.000) + (8 x 1.000) + (9 x 1).

Step-by-step explanation: I learned it already.

Answer:

search up on google

Step-by-step explanation:

not hard

Answer:

5

Step-by-step explanation:

Answer:

I beleave the awnser is √74

Please give me brainlyist :)

Step-by-step explanation: Also if I am wrong please tell me

Answer:

ndhehenejejeuehehehebebeejjwjwnwbwbsbsbbsbsbdbbbdbdbdbdbb

What do you mean explain so we can solve !!!!!!

Answer:

2^(7/2)

Step-by-step explanation:

Here, we want to write 2√32 as a power with a rational exponent.

That would be 2 * √32

= 2 * 32^1/2

= 2 * 2^5(1/2)

= 2 * 2^5/2

According to law of indices, this becomes the following;

2^(1 + 5/2)

= 2^(7/2)

Answer: Lose 10 pounds in 3 months

Step-by-step explanation: 5'0, 160, 40 ~ 10 > 3 Months

Answer:

8 d)

Step-by-step explanation:

2x -10 = 3x +6 -4x +8

3x=24

x=8

Answer:

x = 8 (d)

Step-by-step explanation:

Expand

2x -  10 = 3x + 6 - 4x + 8

Collect like terms

2x - 3x + 4x = 6 + 8 + 10

3x = 24

Divide both sides by 3 to make x on its own

x = 8

Answer:

The answer is

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

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)\\[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (6,6) and slope 5/3

We have

[tex]y - 6 = \frac{5}{3} (x - 6) \\ y - 6 = \frac{5}{3} x - 10 \\ y = \frac{5}{3} x - 10 + 6 \\ [/tex]

We have the final answer as

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

Hope this helps you

Answer:

B. Obtuse Angle

Answer:

b

Step-by-step explanation:

acute is anything smaller than 90 degrees

obtuse is anything bigger than 90 degrees  

right is 90 degrees

straight is 180 degrees

Answer:

$4.04

Step-by-step explanation:

$3.15+$1.25=y

y is our variable

so,3.15

   + 1.25

     4.04

Answer:

1.425

Step-by-step explanation:

if u round 2/3 up to .7, but if u don't it is 1.4

Answer:

1  5/12

Step-by-step explanation:

Hope this helps

Answer:

[tex]y = 48000 - 2200x[/tex] --- equation

[tex]y = 37000[/tex] --- value at 5th year

Step-by-step explanation:

Given

[tex]Value = \$48000[/tex]

[tex]Rate = \$2200[/tex] decrease

Required

Determine the linear equation

Determine the value at the 5th year

Represent years with x.

If the rate in 1 year is 2200,

in x years, it'll be 2200x (decrement)

So, the value (y) at x years is.

[tex]y = 48000 - 2200x[/tex]

The value at the 5th year is when x = 5.

So, we have:

[tex]y = 48000 - 2200 * 5[/tex]

[tex]y = 48000 - 11000[/tex]

[tex]y = 37000[/tex]

Answer:

i think its 20

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

Amount of change = Greater Value − Lesser Value

= 24 − 13 Substitute values.

= 11 Subtract.

Find the percent decrease. Round to the nearest percent.

Percent Change =  

Amount of Change

Original Amount

=  

11

24

 Substitute values.

≈ 0.458 Divide.

= 46% Write as a percent and round.

The percent decrease is 46%.

Answer:

-27.5

Step-by-step explanation:

-2.5-25=

-27.5

Answer:

$9398.50

Step-by-step explanation:

Given

[tex]\$1 = 106.40\ ALL[/tex]

Required

Equivalent of 1,000,000 ALL

We have:

[tex]\$1 = 106.40\ ALL[/tex]

and

[tex]\$x = 1000000\ ALL[/tex]

Cross Multiply

[tex]x * 106.40 = 1 * 1000000[/tex]

[tex]106.40x = 1000000[/tex]

Solve for x

[tex]x = 1000000/106.4[/tex]

[tex]x = \$9398.50[/tex] -- Approximated

Answer:

C. Yes, the function will have either a vertical asymptote or hole for any values that cause the denominator to be equal to zero

Step-by-step explanation:

We want to see if all rational functions always have at least one asymptote or hole.

The answer is C:

" Yes, the function will have either a vertical asymptote or hole for any values that cause the denominator to be equal to zero"

A rational function is something like:

[tex]f(x) = \frac{q(x)}{p(x)}[/tex]

Where q(x) and p(x) are polynomials.

The asymptotes or holes happen when the denominator is equal to zero and the numerator don't.

Now, in the cases where the numerator and denominator become zero for the same value of x, it means that we can factorize the polynomials and remove the common factor. So there we do not have a hole nor asymptote.

Now, because the denominator becomes equal to zero, this means that we are dividing by a reallly small value, then the quotient will tend to infinity or negative infinity, this means that we will have a vertical asymptote.

Then the correct option is C:

Yes, the function will have either a vertical asymptote or hole for any values that cause the denominator to be equal to zero

If you want to learn more, you can read:

https://brainly.com/question/4084552

Answer:

∠LMN = 167°

Step-by-step explanation:

∠LMT = 23°

∠TMN = 144°

∠LMN = ∠LMT + ∠TMN

∠LMN = 23° + 144°

∠LMN = 167°

Answer:

21.3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

t = 8, t = 4

Step-by-step explanation:

-t² + 12t = 32

-t² + 12t - 32 = 0 (Subtracted 32 on both sides.)

t² - 12t + 32 = 0 (Divided by -1 on both sides.)

(t - 8)(t - 4) = 0 (Factor.)

t - 8 = 0   t - 4 = 0

t = 8   t = 4

Answer:

2/3

Step-by-step explanation:

Answer:

The pack of 12 pencils for 298 is better as it has a lower unit price.

Step-by-step explanation:

To be able to find the answer, you have to calculate the unit price for each brand by dividing the price of the pack by the number of pencils in the pack.

-298/12=24.83

-499/18=27.72

According to this, the answer is that the pack of 12 pencils for 298 is better as it has a lower unit price.

Answer:

Lemon juice / water  =  12,5 / 47,5  or 26,31 %

Step-by-step explanation:

First step:

We got  60 liters. of water and we replace 15 liters. of water and add 15 liters of lemon juice, then our mixture is:

60 lts. of mixture       ⇒ with      45 lts. is water   and 15 lts. is lemon juice

The proportion of the mixture  

each liter of the mixture is   0,75 lts. of water and 0,25 of lemon juice

2 step

Removing 10 lts. of mixture implies

10 lts of mixture    means    7,5 lts. of water and 2,5 lts. of lemon juice

then we have

50 lts. of mixture     with   (45 - 7,5 = 37,5 lts.) of water and (15 - 2,5 = 12,5 ) lts. of lemon juice

third step

Addind 10 lts. of water:

60 lts. of mixture  with  ( 37,5 + 10 = 47,5) lts. of water and 12,5 lts. of lemon juice

Final mixture is

60 lts. of mixture with   47,5 lts. of water  and 12,5 lts. of lemon juice

Proportion

Lemon juice / water  =  12,5 / 47,5    or  26,32 %