Can someone help me on this?

Answer:

Step-by-step explanation:

d

Answer:

k > 7

Step-by-step explanation:

Divide each term by  − 7  and simplify.

-8k + 8 < -48

Move all terms not containing  k  to the right side of the inequality.

-8k < -56

Divide each term by  − 8  and simplify.

k > 7

hope this helps :)

Answer:

[tex]f(x) = -1[/tex]

[tex]g(x) =6[/tex]

[tex]\frac{-1}{2x + 3} + \frac{6}{3x + 7}[/tex]

Step-by-step explanation:

The question is unreadable, however the real polynomial is:

The polynomial fraction is:

[tex]P = \frac{9x + 11}{6x^2 + 23x + 21}[/tex]

And the decomposition is:

[tex]\frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}[/tex]

The solution is as follows:

[tex]P = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}[/tex]

Substitute the expression for P

[tex]\frac{9x + 11}{6x^2 + 23x + 21} = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}[/tex]

Expand the numerator of the polynomial

[tex]\frac{9x + 11}{(2x + 3)(3x + 7)} = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}[/tex]

Take LCM

[tex]\frac{9x + 11}{(2x + 3)(3x + 7)} = \frac{f(x)*(3x + 7) + g(x)*(2x + 3)}{(2x + 3)(x + 7)}[/tex]

Cancel out both denominators

[tex]9x + 11} = f(x)*(3x + 7) + g(x)*(2x + 3)[/tex]

Represent f(x) as A and g(x) as B

[tex]9x + 11} = A*(3x + 7) + B*(2x + 3)[/tex]

Open bracket

[tex]9x + 11} = 3Ax + 7A + 2Bx + 3B[/tex]

[tex]9x + 11} = 3Ax + 2Bx+ 7A + 3B[/tex]

[tex]9x + 11} = (3A + 2B)x+ 7A + 3B[/tex]

By comparison:

[tex]3A + 2B = 9[/tex] ---- (1)

[tex]7A + 3B =11[/tex] ---- (2)

Make B the subject in (1)

[tex]B = \frac{9 - 3A}{2}[/tex]

Substitute [tex]B = \frac{9 - 3A}{2}[/tex] in (2)

[tex]7A + 3(\frac{9 - 3A}{2}) = 11[/tex]

Multiply through by 2

[tex]2*7A +2* 3(\frac{9 - 3A}{2}) = 11*2[/tex]

[tex]14A + 3(9 - 3A) = 22[/tex]

[tex]14A + 27 - 9A = 22[/tex]

Collect Like Terms

[tex]14A - 9A = 22-27[/tex]

[tex]5A = -5[/tex]

[tex]A = \frac{-5}{5}[/tex]

[tex]A = -1[/tex]

Recall that:

[tex]B = \frac{9 - 3A}{2}[/tex]

[tex]B = \frac{9 - 3 * -1}{2}[/tex]

[tex]B = \frac{9 + 3}{2}[/tex]

[tex]B = \frac{12}{2}[/tex]

[tex]B = 6[/tex]

A = -1 and B = 6

[tex]3A + 2B = 9[/tex] ---- (1)

[tex]7A + 3B =11[/tex] ---- (2)

So:

[tex]f(x) = A[/tex]

[tex]f(x) = -1[/tex]

[tex]g(x) =B[/tex]

[tex]g(x) =6[/tex]

And the decomposition is:

[tex]\frac{-1}{2x + 3} + \frac{6}{3x + 7}[/tex]

Answer:

Step-by-step explanation

$3.75x5=18.75

18.75+10=$28.75

Step-by-step explanation:

So he starts with 10. That would be our y-intercept. That means that 3.75 is the slope because he saves that amount of money each week. So the equation would be y = 3.75x + 10.

The x represents the number of weeks (5), so we will plug that into the equation (y = 3.75(5) + 10).

Multiply 5 and 3.75 to get 18.75

Add 10 to get 28.75

Answer:

16:48

64:192

Step-by-step explanation:

16:48

64:x

64/16=4

48 x 4=192

Answer:

x=−3 or x=5

Step-by-step explanation:

Answer:

g(x) = (x - 4)^2 - 5, and the vertex is (4, -5)

Step-by-step explanation:

Please, use " ^ " to indicate exponentiation:  g(x) = (x - 4)^2 – 5.  Comparing this to y = a(x - h)^2 + k, we see that h must be 4 and k must be -5.  Thus, the vertex is (4, -5).

Make a table showing several x-values and the corresponding y-values:

x       g(x) = (x - 4)^2 - 5                     (x, y)

0                    (-4)^2 - 5 = 11               (0, 11)

4                (4 - 4)^2 - 5 = -5               (4, -5)

Answer:

I READY

Step-by-step explanation:

Answer:

hundredth

Step-by-step explanation:

Ten equal parts of a whole is called TENTH.

Hundred equal parts of a whole is called HUNDREDTH.

Thousand equal parts of a whole is called THOUSANDTH.

Hence, a hundredth is one of one hundred equal parts of a whole.

Answer:

line b

Step-by-step explanation:

y = -2x+2 has a slope of -2 (means it's going downhill) and a y-intercept of 2. Line b is the only line that matches this description.

Answer: Line B sir

Step-by-step explanation:

y = -2x+2 has a slope of -2 (means it's going down) and a y-intercept of 2. Line b is the only line that matches this description.

Answer:

Angel 1 is 45

Angel 2 is the same

Step-by-step explanation:

65%

Convert fraction (ratio) 13 / 20 Answer: 65%

Answer:

$76,518.88

Step-by-step explanation:

continuous interest

pe^(rt)

we have

59000e^(.026*10)

76518.88

Answer:

3260

Step-by-step explanation:

yeah ok

Answer:

x = 3

Step-by-step explanation:

You can use cross multiply.

8x = 6 x 4

8x = 24

x = 3

Answer:

x = 3

Step-by-step explanation:

Multiply x by 8 to get 8x

Multiply 6 by 4 to get 24

Place 8x and 24 into an equation to get 8x = 24

Divide 8x and 24 by 8

The 8 from 8x is canceled out, leaving the answer:

x = 3

Answer:

220^x=y will be the answer :)

Answer:8 y sobran 4

Step-by-step explanation:

8entre  4

Answer:

1.5

Step-by-step explanation:

Answer:

1 1/5 km/h

Step-by-step explanation:

1x6=6

Take the numerator and multiply denominator

Answer:

Step-by-step explanation:

Velocity is distance divided by time.

v=(km/5)/(hr/6)

v=(km/5)(6/hr)

v=(6/5)(km/hr)

v=1.2 km/hr

Answer:

Step-by-step explanation:

4.45

1.5 + 2.25 + .75 = 4.45 milligrams

Answer:

b

Step-by-step explanation:

Answer:

I believe in you and believe you can do it, keep up the great work :)

Step-by-step explanation:

Chicken wing

Chicken wing

Hot dog and baloney

Chicken and macaroni

Chillin with my homies

Answer:

its to blurry

Step-by-step explanation:

Answer:

12/8 = 6/4 = 3/2; 2/3 * 15 = 10

Step-by-step explanation: