Find the equation of the line parallel to y=3x+5 that passes through (0,4) y=3x+4

Answer:

Step-by-step explanation:

10x = 5.5

  -x = 0.5

9x = 5

x = 5/9

therefore, the answer is C. 5/9

Answer:

16x + 9 = 4x

Step-by-step explanation:

9x+7x+26-17=2x-3x+5x
16x+9=4x

Answer:

Yes it is y=1/5x+4

Step-by-step explanation:

Answer:

A -7

Step-by-step explanation:

[tex]\frac{7}{8}[/tex] * -16 = -14

-14 * -7 = 98 (2 negatives make a positive)

98 * [tex]\frac{-1}{14}[/tex] = -7

Answer:

(x + 8)(x - 2)(4x - 1)

Step-by-step explanation:

Given that x = - 8 is a zero then (x + 8) is a factor

Divide f(x) by (x + 8) using Synthetic division

- 8 | 4    23    - 70    16

        ↓  - 32      72   - 16

      ---------------------------------

        4    - 9       2       0

Quotient = 4x² - 9x + 2 = (x - 2)(4x - 1)

Thus

f(x) = (x + 8)(x - 2)(4x - 1)

Answer:

32

Step-by-step explanation:

if there are 5 occupied rooms for every 2 unoccupied, you just have to (80/5)x2

(16)x2

32

Answer:

The average rate of change is

Δy ÷ Δx = -20 ÷ 4

Δy/Δx = -20/4

          = -5      

Step-by-step explanation:

Given the function

[tex]h\left(x\right)\:=\:-x^2\:+\:3x\:+\:3[/tex]

Putting x = 6

[tex]h\left(6\right)\:=\:-\left(6\right)^2\:+\:3\left(6\right)\:+\:3[/tex]

         [tex]=-36+18+3[/tex]

          [tex]=-15[/tex]

Putting x = 2

[tex]h\left(2\right)\:=\:-\left(2\right)^2\:+\:3\left(2\right)\:+\:3[/tex]

         [tex]= -4 + 6 +3[/tex]

         [tex]= 5[/tex]

The change in y from 2 to 6 is

Δy = -15 - 5

    = -20

The interval from 2 to 6 has a width of

Δx = 6 - 2

     = 4

Therefore, the average rate of change is

Δy ÷ Δx = -20 ÷ 4

Δy/Δx = -20/4

          = -5      

Answer:

The equation that relates the weight of the water and the container in pounds and the amount of water in gallons is [tex]A = \frac{W}{8.34}[/tex].

Step-by-step explanation:

From Physics we understand that conversions are represented by the following linear equation:

[tex]u' = r\cdot u[/tex] (1)

Where:

[tex]u[/tex] - Original value, measured in original unit. (pounds)

[tex]r[/tex] - Conversion value, measured in final unit per original unit. (gallons per pound)

[tex]u'[/tex] - Final value, measured in final unit. (gallons)

If we know that [tex]u' = A[/tex], [tex]u = W[/tex] and [tex]r = \frac{1}{8.34} \,\frac{gal}{lbm}[/tex], then the equation is:

[tex]A = \frac{W}{8.34}[/tex]

The equation that relates the weight of the water and the container in pounds and the amount of water in gallons is [tex]A = \frac{W}{8.34}[/tex].

Answer:

Anything above 9

Step-by-step explanation:

63/7=9

i've considered it, ty

Given:

A baseball player get a hit in 31% of his at-bats.

To find:

The probability that he will  get a hit 5 at-bats in a row.

Solution:

Since, a baseball player get a hit in 31% of his at-bats, therefore

Probability that he get a hit = [tex]\dfrac{31}{100}[/tex]

                                           = [tex]0.31[/tex]

Now, the probability that he will  get a hit 5 at-bats in a row is

[tex]P=0.31\times 0.31\times 0.31\times 0.31\times 0.31[/tex]

[tex]P=(0.31)^5[/tex]

[tex]P=0.0028629151 [/tex]

Therefore, the required probability is [tex](0.31)^5[/tex] and it can be written as 0.0028629151 .

Answer:

That the graph of (f+g)(x) is a parent graph of f(x) and g(x)

Answer:

A. The leading coefficients of f(x) and g(x) are opposite

Step-by-step explanation:

Answer:

Yes it is a ploygon

convex

both

octagon

Step-by-step explanation:

Answer:

Its blurry, can you take another picture?

Step-by-step explanation:

Answer:

Step-by-step explanation:

The shape can be considered as the combination of a square with the side of 28 and a triangle with base of (28 + 10 + 10) and the height of 28

Then the area of the  shape is:

Answer:

x =53.85

Step-by-step explanation:

Let x be the original price

If the price is 22% of, you will pay 100% -22% = 78%

x * 78% = 42

Change to decimal form

.78x = 42

Divide each side by .78

.78x/.78 = 42/.78

Rounding to the nearest cent

x =53.85

Answer:

Step-by-step explanation:

multiply 68*59

Answer:

1.) y = -6

2.) y = 5/3x - 7

3.) y = 5

4.) y = -3x + 1

5.) x = -3

Step-by-step explanation:

So the equation you want to use is this:   [tex]\frac{y2-y1}{x2-x1}[/tex]

1.) Plug in

[tex]\frac{-6 - (-6)}{6 - 2} \\\\\frac{0}{4} = 0\\[/tex]

This line is zero slope to find the y-intercept get one of you points and plug them and the slope into this equation y = mx+ b. We will use (2,-6)

-6 = 0(2) + b (b represents y-intercept) (0*2=0)

-6 = b

So the equation is y = -6

2.) Do the same thing.

[tex]\frac{3-8}{6-9} \\\\\frac{-5}{-3} =\frac{5}{3}[/tex]

It's positive because when you divide a negative by a negative you get a positive. Plug in a point (6, 3) y = mx + b (b represents y-intercept)

3 = 5/3(6) + b (5/3*6 = 10)

3 = 10 + b (subtract 10 on both sides)

-7 = b

y = 5/3x - 7

3.) For this one you are just going to point slope form. y - y1 = m(x - x1)

Plug in

y - 5 = 0(x - (-8))

y - 5 = 0 (add 5 to both sides)

y = 5

4.) Do [tex]\frac{y2 - y1}{x2 - x1}[/tex] for this one

Plug in

[tex]\frac{-5 - 7}{2 - (-2)} \\\\\frac{-12}{4} = -3[/tex]

So the slope is -3. Plug into y = mx + b with the point (2, -5)

-5 = -3(2) + b (b represents y-intercept)

-5 = -6 + b (add 6 to both sides)

1 = b

The equation is y = -3x + 1

5.) Do the same thing as #4

[tex]\frac{-8 - (-5)}{6 - 6} \\\\\frac{-3}{0}[/tex]

This slope is undefined

Since you can't divide by 0 the equation would be

x = -3

Hope this helps ya!!

Answer:

3.777

Step-by-step explanation:

Answer:

The correct answer is C

Answer:

One person collects $60  in a week what how many money will it have?

Step-by-step explanation:

Answer:

B.

g= 10

Step-by-step explanation:

Answer:

72%

Step-by-step explanation:

For this question the average height of adult women is 63.7” with a σ of 2.9”.  The US Navy requires that fighter pilots have heights of between 62 and 78 inches.  Find the approximate percentage or women who qualify to be fighter pilots.  HINT:  Drawing a distribution curve may help.

Find the z-scores.

z = (x − μ) / σ

z₁ = (62 − 63.7) / 2.9

z₁ = -0.586

z₂ = (78 − 63.7) / 2.9

z₂ = 4.93

Use a chart or calculator to find the probability.

P(-0.586 < Z < 4.93) = P(Z < 4.93) − P(Z < -0.586)

P(-0.586 < Z < 4.93) = 1.000 − 0.279

P(-0.586 < Z < 4.93) = 0.721

Approximately 72% of women will qualify.

If the Navy changes its height requirement to include all but the shortest and tallest 3% of the female population, what would the new height requirements for women be? HINT:  Drawing a distribution curve may help. Also, rounding is suggested.

In this case, we work in reverse.  Use a chart or calculator to find the z-score for each probability.

P(Z < z₁) = 0.03

z₁ = -1.881

P(Z > z₂) = 0.03

P(Z < z₂) = 0.97

z₂ = 1.881

Now find the heights associated with those z-scores.

z = (x − μ) / σ

-1.881 = (x₁ − 63.7) / 2.9

x₁ = 58.2

1.881 = (x₂ − 63.7) / 2.9

x₂ = 69.2

The new height requirement is between 58.2" and 69.2".

Answer:

- 0.9

Step-by-step explanation:

your welcome.what is quotient?a result obtained by dividing one quantity by another.

Answer:

-3x^2-18x-40

Step-by-step explanation:

(x+3)^2: x^2+6x+9

= -3(x^2+6x+9)-13

Expand:

-3(x^2+6x+9): -3x^2-18x-27

= -3x^2-18x-27-13

Final Answer: -3x^2-18x-40

Answer:

-3x^2-18x-40

Step-by-step explanation:

-3(x+3)^2-13

-3(x^2+6x+9)-13

-3x^2-18x-27-13

-3x^2-18x-40

Answer:

53 degrees

Step-by-step explanation:

a complementary angle is 90 degrees and it's split, if one is 47 degrees, you do 90-47 which equals 53