What is the equation of the line parallel to y = 9x - 5 passing through (1, 5)

Answer:

[tex]Speed = 21.43m/s[/tex]

Step-by-step explanation:

Given

[tex]Distance = 1200m[/tex] -- of the roadworks

[tex]Time\ Recorded = 56s[/tex]

Required

Determine the speed

In this case:

[tex]Speed = \frac{Distance\ of\ Roadword}{Time\ Captured}[/tex]

[tex]Speed = \frac{1200m}{56s}[/tex]

[tex]Speed = 21.43m/s[/tex] --- approximated

Answer:

1.5 times greater because the ratio of triangle ABC to triangle DEF is 2:3

Step-by-step explanation:

Answer:

1.4 times is the correct answer

Answer:

Solution in photo

Step-by-step explanation:

Answer:

240 feet per hour

Step-by-step explanation:

Given that:

Submarine is descending for examining the sea floor.

Distance of sea floor from the surface = 2100 feet

Time taken for the descend = 8.75 hours

To find:

The rate of descent in feet per hour = ?

Solution:

Here, we are given the distance traveled in feet and the time taken to travel that distance in hours.

And we have to find nothing but the speed of the submarine.

First of all, let us have a look at the relationship among speed, distance and time.

[tex]Speed = \dfrac{Distance}{Time}[/tex]

Putting the values of distance and time.

[tex]Speed = \dfrac{2100}{8.75}\\\Rightarrow Speed = \bold{240\ feet/hr}[/tex]

Given:

The table shown the number of campers, x, at a local campsite and the total amount of money, y, in dollars, earned by the camp site.

To find:

The unit for the rate of change.

Solution:

We know that, rate of change is the change in y-values with respect to x-values, i.e.,

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

In the given problem, y is the total earnings in dollars and x is the number of campers. So, the rate of change represents the change is earnings with respect to number of campers.

Thus, the unit of rate of change is dollars per camper.

Therefore, the correct option is D.

Answer:

A. 3

B. 2.825

Step-by-step explanation:

Data obtained from the question include:

Number of bedrooms (x) > Frequency(f)

1 >>>>>>>>>>>>>>>>>>>>> 5

2 >>>>>>>>>>>>>>>>>>>> 10

3 >>>>>>>>>>>>>>>>>>>> 15

4 >>>>>>>>>>>>>>>>>>>> 7

5 >>>>>>>>>>>>>>>>>>>> 3

Mode =?

Mean average of bedrooms =.?

A. Determination of the modal average of bedroom.

The mode of a given set of data is the the value with the highest frequency.

Considering the table given in the question above, we can see clearly that 3 has the highest frequency. Hence 3 is the modal average of the bedroom is 3

B. Determination of the mean average of bedroom.

Mean = Σfx / Σf

Σfx = (1×5) + (2×10) + (3×15) + (4×7) + (5×3)

Σfx = 5 + 20 + 45 + 28 + 15

Σfx = 113

Σf = 5 + 10 + 15 + 7 + 3

Σf = 40

Mean = Σfx / Σf

Mean = 113 / 40

Mean = 2.825

Therefore, the mean average of bedroom is 2.825

Answer:

6.9

7.-5

8.-10

Step-by-step explanation:

Answer:

<4 = 88

<3 = 92

Step-by-step explanation:

The sum of the angles of a triangle is 180

<4 + 45+ 47 = 180

<4 + 92 = 180

< 4 = 180-92

<4 = 88

We know the <3 and <4 form a line

<3 + <4 = 180

<3 + 88 = 180

< 3 = 180-88

<3 = 92

Step-by-step explanation:

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Answer:

m is your slope. In parallel lines, your slopes are always the same and the y-intercept is always different. so ur slope is also 55.

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Step-by-step explanation:

Answer:

i think [after solving] that it is option B and C

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

D) 6

Step-by-step explanation:

Assumption method:

Assume all are postcards.

Total cost of postcards = 10 × $1

                                       = $10

Difference between total = $22 - $10

                                          = $12

Difference between subjects = $3 - $1

                                                 = $2

No. of magnets = $12 ÷ $2

                          = 6

Answer:

[tex]2d^{\frac{7}{10}}[/tex] [tex]= \sqrt[10]{2d^7}[/tex]

Step-by-step explanation:

Given

[tex]2d^{\frac{7}{10}}[/tex]

Required

Determine the radical expression

To do this, we apply the following law of indices:

[tex]a^{\frac{m}{n}} = \sqrt[n]{a^m}[/tex]

By comparing the above to [tex]2d^{\frac{7}{10}}[/tex], we have:

[tex]m=7[/tex]

[tex]n = 10[/tex]

So, the solution becomes

[tex]2d^{\frac{7}{10}}[/tex] [tex]= \sqrt[10]{2d^7}[/tex]

Answer:

B

Step-by-step explanation:

I think the answer is B but I could be wrong! I'm 98% confident in my answer though!

Answer:

2Girls:3Boys

Step-by-step explanation:

gdfgdsfgdsgsdfgdsgdsfgdsfgdsfg

Answer:

is conduction the correct answer?

A = L x W

W = A/L

W = 32/6

W = 5.333

Answer: A=(38*x)-(x*4) (x equals rows)

So the top row consists of 272 boxes of soda.

Answer:

Left 2 and down 1

Step-by-step explanation:

9514 1404 393

Answer:

  {0, 1, 2, 3}

Step-by-step explanation:

The domain is the set of function input values. Here, they are labeled x values. The set of the is {0, 1, 2, 3}.

The domain is {0, 1, 2, 3}.

Answer:

Therefore, the rate of change of function 2 is 3 more than the rate of change of function 1.

Hence, option C is true.

Step-by-step explanation:

Function 1

A horizontal straight line is drawn joining the ordered pairs (0, 3) and (4, 3).

Given the points

It means

at x = 0, y = 3

at x = 4, y = 3

Since the y-values are same, it means the points lie on a horizontal.

The rate of change or slope of a horizontal line is zero because it does not rise vertically ( i.e. y₁ - y₂ = 0).

Therefore, the rate of change of function 1 = 0

Function 2

y = 3x+1

comparing with the slope-intercept form

y = mx+b      

here m is the rate of change or slope and b is the y-intercept

so the rate of change of the function 2 = m = 3

Conclusion:

Therefore, the rate of change of function 2 is 3 more than the rate of change of function 1.

Hence, option C is true.

Answer:

88.33 hrs

Step-by-step explanation:

Answer:

100 hours

Step-by-step explanation:

You can divide 3000 miles by 75 hours to find the mile per hour. You get 40mph and you divide 4000 by 40 to get 100 hours for 4000 miles.

Answer:

[tex]m \times n \\ when \: m = 13 \: and \: n = 12 \\ = 13 \times 12 \\ = 156[/tex]

Answer and Step-by-step explanation: Area of a right triangle, (as any other triangle), is calculated as:  [tex]A1=\frac{(base)(height)}{2}[/tex]

Area of a rectangle is calculated as: [tex]A2=(side)(side)[/tex]

Area of a right trapezoid is: [tex]A3=\frac{(a+b)h}{2}[/tex], where:

a is short base

b is long base

h is height

1) Expressing areas in terms of x:

Area of triangle S1:

[tex]S1=\frac{(2x-3)(4x-6)}{2}[/tex]

[tex]S1=4x^{2}-12x+9[/tex]

Area of rectangle S2:

[tex]S2 = (4x-6)(3x-2)[/tex]

[tex]S2=12x^{2}-26x+12[/tex]

Area of trapezoid S3:

[tex]S3=\frac{(2x+3+4x+1)(2x-3)}{2}[/tex]

[tex]S3=\frac{(6x+4)(2x-3)}{2}[/tex]

[tex]S3=6x^{2}-5x-6[/tex]

2) a) [tex]S=4x^{2}-12x+9+12x^{2}-26x+12-(6x^{2}-5x-6)[/tex]

[tex]S=4x^{2}-12x+9+12x^{2}-26x+12-6x^{2}+5x+6[/tex]

[tex]S=10x^{2}-33x+37[/tex]

Which is the same as S = (2x-3)(5x-9)

b) For the areas to be the same:

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

[tex]\frac{(8x-7)(4x-6)}{2}=\frac{(6x+4)(2x-3)}{2}[/tex]

[tex]32x^{2}-48x-28x+42=12x^{2}+8x-18x-12[/tex]

[tex]20x^{2}-66x+54=0[/tex]

Using Bhaskara to solve the second degree equation:

[tex]\frac{66+\sqrt{(-66)^{2}-(4.20.54)} }{2(20)}[/tex]

[tex]x_{1}=\frac{66+6}{40}[/tex] = 1.8

[tex]x_{2}=\frac{66-6}{40}[/tex] = 1.5

For the areas of AFGC and ADEB to be equal, x has to be 1.5 or 1.8.

c) Expand a polynomial (or equation) is to multiply all the terms, remiving the parenthesis. Reduce a polynomial (or equation) is to combine terms alike,e.g.:

[tex]S=(2x-3)(5x-9)[/tex]

[tex]S=10x^{2}-18x-15x+27[/tex] (expand)

[tex]S=10x^{2}-33x+27[/tex] (reduce)

d) For area of AFCG to be bigger than area of ADEB by 27:

[tex]32x^{2}-48x-28x+42=12x^{2}+8x-18x-12+27[/tex]

[tex]32x^{2}-48x-28x+42=12x^{2}+8x-18x+15[/tex]

[tex]20x^{2}-66x+27=0[/tex]

Solving:

[tex]\frac{66+\sqrt{(-66)^{2}-(4.20.27)} }{2(20)}[/tex]

[tex]\frac{66+46.86}{40}[/tex]

[tex]x_{1}=\frac{66+46.86}{40}=[/tex] 2.82

[tex]x_{2}=\frac{66-46.86}{40}[/tex] = 0.48

According to the enunciation, x cannot be less than 1.5, then, the value of x so that area AFGC exceeds the area ADEB by 27 is 2.82

Answer:

38%

Step-by-step explanation:

Is that an answer choice ?