Given f(x) = 3x + 7 and g(x) = 3x, find (f - g)(x).

Answer:

576 mm²

Step-by-step explanation:

In a square all sides are equal, so area of square = s * s = s²

Area = 24 * 24

Area = 576 mm²

Answer:

58,967 grams (Use an online measurement converter)

Answer:

c³ + 24c² + 192c + 512

Step-by-step explanation:

(c + 8)³

= (c + 8)(c + 8)(c + 8) ← expand last 2 factors using FOIL

= (c + 8)(c² + 16c + 64)

Multiply each term in the second factor by each term in the first factor

c(c² + 16c + 64) + 8(c² + 16c + 64) ← distribute parenthesis

= c³ + 16c² + 64c + 8c² + 128c + 512 ← collect like terms

= c³ + 24c² + 192c + 512

Answer:

[tex]c^{3} + 24 {c}^{2} + 192c + 512 [/tex]

Step-by-step explanation:

Expand the expression

[tex](c + 8)(c + 8)(c + 8) \\ = {c}^{3} + 3 {c}^{2} \times 8 + 3c \times {8}^{2} + {8}^{3} \\ = {c}^{3} + 24 {c}^{2} 3c \times 64 + 512 \\ = {c}^{3} + 24 {c}^{2} + 192c + 512[/tex]

Answer:

985

Step-by-step explanation:

they are asking what her balance was after her first deposit (A) so you only adding 65.00 to the original 920.00

Answer:

length is 20 meters

width is 12 meters

Step-by-step explanation:

x = length

y = width

x = 2y - 4

x×y = 240

using the first equation as substitute in the second equation we get

(2y - 4)×y = 240

2y² - 4y - 240 = 0

the solution to such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

here we are going for y instead of x, but it is the same principle.

a = 2

b = -4

c = -240

y = (4 ± sqrt(16 - 4×2×-240))/4 = (4 ± sqrt(16 + 1920))/4 =

= (4 ± sqrt(1936))/4 = (4 ± 44)/4 = (1 ± 11)

y1 = 1 + 11 = 12

y2 = 1 - 11 = -10

negative side lengths don't make any sense, so, y = 12 meters remains.

x = 2y - 4 = 2×12 - 4 = 24 - 4 = 20 meters

Answer:

see explanation

Step-by-step explanation:

Substitute the given values of x into f : x → [tex]\frac{3}{7}[/tex] x + 4

x = - 14 → ([tex]\frac{3}{7}[/tex] × - 14) + 4 = (3 × - 2) + 4 = - 6 + 4 = - 2

x = 28 → ( [tex]\frac{3}{7}[/tex] × 28) + 4 = (3 × 4) + 4 = 12 + 4 = 16

x = [tex]\frac{7}{8}[/tex] → ([tex]\frac{3}{7}[/tex] × [tex]\frac{7}{8}[/tex] ) + 4 = [tex]\frac{3}{8}[/tex] + 4 = [tex]\frac{3}{8}[/tex] + [tex]\frac{32}{8}[/tex] = [tex]\frac{35}{8}[/tex]

x = - [tex]\frac{2}{9}[/tex] → ([tex]\frac{3}{7}[/tex] × - [tex]\frac{2}{9}[/tex] ) + 4 = ([tex]\frac{1}{7}[/tex] × - [tex]\frac{2}{3}[/tex]) + 4 = - [tex]\frac{2}{21}[/tex] + [tex]\frac{84}{21}[/tex] = [tex]\frac{82}{21}[/tex]

Answer:

See below in bold.

Step-by-step explanation:

1. 3/7 * -14 + 4

   = -6 + 4

    = -2.

2. 3/7 * 28 + 4

   = 12 + 4

    = 16.

3 3/7 * 7/8 + 4

   =  3/8 + 4

    =   35/8 or 4 3/8.

4. 3/7 * -2/9 + 4

   = -6/63 + 4

   = -2/21 + 4

    = -82/21 or -3 19/21.

Answer:

22054.36

Step-by-step explanation:

Answer:

There are 2 integers, which absolute value are 3. -3 and 3 itself

Step-by-step explanation:

|-3| = 3 and |3| = 3 to

Answer:

2 integers at a time will be able to have the same absolute value. This is because integer can be both positive and negative, while absolute value always remains positive:

The absolute value of both 2 and (-2) is 2.

Answer:

y= 37.5

Step-by-step explanation:

x = 30°

180-30= 150

4x=150

x = 37.5

Answer:

Y = 40

Step-by-step explanation:

I do not understand that language but if it is asking what Y is equal to when x is equal to 30 degrees and EFG is a straight line.

1. 3Y + 2X = 180 (Straight angle)

2. X = 30 (given)

3. therefore 2X = 2x30

                          = 60

4. Therefore 3Y + 60 = 180

5. 3Y = 180 - 60

6. 3Y = 120

7. Y = 120/3

8. Y = 40

Step-by-step explanation:

Bailey has 27 oz

stacie has 36 oz

tamara has 36 oz

tamara and stacie have the most water in their bottles

Answer:

(2,-4)

Step-by-step explanation:

Answer:

2x^2 + 5x^2 - x - 6

[tex]\boxed{\sf S_n=3^n-1}[/tex]

Now

[tex]\\ \sf\longmapsto S_8=3^8-1[/tex]

[tex]\\ \sf\longmapsto S_8=6561-1[/tex]

[tex]\\ \sf\longmapsto S_8=6560[/tex]

Answer:

Step-by-step explanation:

A=1,B=3,C=4

X= 4/(3-1)

X= 4/2

X=2

Answer:

Step-by-step explanation:

a) 64 (A=bh)

b) 96 ((16x12)÷2)

Answer:

Step-by-step explanation:

a) base = AB = 16 cm

height = DX = 6cm

Area of  the parallelogram = base * corresponding height to the base

                                            = 16 * 6

                                            = 96 sq. cm

Area of parallelogram =  96 sq .cm

BC * DY = 96

12 * DY = 96

      DY = 96/12

      DY = 8 cm

Step-by-step explanation:

5x+4=8+5x

solution

5x-5x=8-4

x=4

I hope this will help you

thank you ❤️

Answer:

34567 shhzhznznjshshznuzhs

Step-by-step explanation:

the rule 2x×300p

Answer:

x = 12 or x = -6

Step-by-step explanation:

Solve for x over the integers:

abs(x - 3) = 9

Split the equation into two possible cases:

x - 3 = 9 or x - 3 = -9

Add 3 to both sides:

x = 12 or x - 3 = -9

Add 3 to both sides:

Answer: x = 12 or x = -6

2(z - 5) + (z - 8) =

= 2z - 10 + z - 8 =

= 2z + z - 10 - 8 = 3z - 18 ← the end

Answer:

The average rte of change = 6

2) The average rate of change over an interval is the ratio of the total change in the determinate variable or function (values of the output of the function) to the change in the indeterminate variable (values of the input of the function)

Step-by-step explanation:

1) The average of change of the function is found as follows;

At x = 0.75, y = -0.5, at x = 1.125, y = 1.75

Therefore, the average rate of change = (1.75 - (-0.5))/(1.125 - 0.75) = 6

2) The average rate of change over an interval on a graph or of a curve is found by dividing the difference between the y-coordinate values of the two points on the graph by the difference of the x-coordinate values of the two points.

Step-by-step explanation:

Answer:

D. 150

Step-by-step explanation:

A=6a^2=6·5^2=150

Answer:

That's a variable expression?

I think is 8/x³

Answer:

[tex]sum \: of \:a ngle \: in \: a \: line \: = 180 \\ 2p + 5 + 3p = 180 \\ 5p + 5 = 180 \\ 5p = 180 - 5 \\ 5p = 175 \\ p = \frac{175}{5} \\ p = 35 \\ thank \: you[/tex]

Answer:

51

4

Step-by-step explanation:

15

2

+

21

4

Answer:

The equation [tex]kw^{2} -mw=s[/tex] solved for [tex]w[/tex].

[tex]w=[/tex] [tex]$\frac{m\pm\sqrt{m^{2}+4 k s}}{2 k}$[/tex]

Step-by-step explanation:

Given:

[tex]kw^{2} -mw=s[/tex]

To solve the given equation for [tex]w[/tex].

[tex]kw^{2} -mw=s[/tex]

[tex]kw^2-mw-s=0[/tex]

Using Quadratic formula,

[tex]$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$[/tex]

Comparing the equation  [tex]kw^{2} -mw-s=0[/tex] with the formula,

[tex]x=w[/tex]

[tex]b=m[/tex]

[tex]a=k[/tex]

[tex]c=s[/tex]

[tex]w=[/tex] [tex]$\frac{m\pm\sqrt{m^{2}+4 k s}}{2 k}$[/tex]

Learn more about Quadratic formula, refer: