Slope through (7, 1), (8,0)

[tex]3\dfrac{1}{10}=\dfrac{3\cdot10+1}{10}=\dfrac{30+1}{10}=\boxed{\frac{31}{10}}[/tex]

The rules of a dataset are what guide the formation of the dataset. The rule that describes how to find the number of legs for any  number of insects.

Let:

[tex]x \to[/tex] number of insects

[tex]y \to[/tex] number of legs

From the table (see attachment), we notice the following:

As the number of insects increases by 1, the number of legs increases by 6.

Hence, the rule that describes how to find the number of legs is "Add 6"

A better approach is as follows:

From the table we have:

[tex](x_1,y_1) = (1,6)[/tex]

[tex](x_2,y_2) = (2,12)[/tex]

Calculate the slope (m) of these points

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

[tex]m = \frac{12 - 6}{2-1}[/tex]

[tex]m = \frac{6}{1}[/tex]

[tex]m = 6[/tex]

The equation is then calculated as:

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

This gives:

[tex]y = 6(x - 1) + 6[/tex]

[tex]y = 6x - 6 + 6[/tex]

[tex]y = 6x[/tex]

Hence, the rule is:

Any of the above, can be stated as the rule that how to find the number of legs for any  number of insects.

Read more about linear functions at:

https://brainly.com/question/21107621

Answer:

1) 130 degrees and 50 degrees 6) a price of a chair is 40, a price of the table is 80 7) a) 16 b)28

Step-by-step explanation:

1) Let it be that the first angle is x, The second one is y

1/5(x+y)=36- the first equation

1/2(x-y)=40- the second equation

The equations are simultaneous

x+y=180   and x-y=80

x+y+x-y=180+80

2x=260

x=130

y=50

6) The cost of a chair is x, the cost of table is y

6x+3y=480  2x+y=160

8x+y=400

8x+y- (2x+y)=400-160

6x=240

x=40

2*40+y=160

y=80

7) The Wan's age is x, the mother's age is y

x+y=60 x=60-y

Two years ago mother's age was y-2, when Wan;s age was x-2

y-2=(x-2)*3

y-2= (60-y-2)*3

y-2= (58-y)*3

y-2=174-3y

4y=176

y= 44

x=60-44=16- Wan's age now

44-16=28- her mother's age when she was born

First, let's declare our variables

B = x+2

A = 3(x+2)

Now, let's create our expression.

A + B = 128

Plug in the values for A and B

x+2 + 3(x+2) = 128

We need to solve for x. Start off by simplifying the left side.

x+2 + 3x + 6 = 128

Combine like terms.

4x + 8 = 128

Subtract 8 from both sides.

4x = 120

Divide both sides by 4

x = 30

B = x+2 = 30 + 2 = 32 degrees

A = 3(x+2) = 3(30+2) = 3(32) = 96 degrees

hi <3

you can use the sine rule in this.

first calculate the missing angle in the triangle.

we know the angles in a triangle sum to 180 so:

180 - 37 - 90 = 53

now, simply input these values into the sine rule

10/sin(53) = x/sin(37)

rearrange for x:

x = (10/sin53) x sin37

solve to get your answer of:

x = 7.5

hope this helps :)

Answer:

tanx=opposite side

       adjacent side

tan(37)=x

              10

x=tan(37)x10 (take cross multipication)

x=(0.753554)x10

x=7.53554

x=8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

125 minutes

Step-by-step explanation:

2.5÷ .5 = 5

20× 5 + 25

= 125 min

Answer:

[tex]16 + 2n[/tex]

Step-by-step explanation:

[tex]{ \sf{ \sum \{6 \} {}^{n} _{0} }} \\ n = 1, \: 2...[/tex]

Answer:

I think it may be 52.2 miles

Step-by-step explanation:

to find the perimeter, add the lengths of all four sides

to find area, multiply the length and width

Answer:

494,615

Step-by-step explanation:

Strategy 1.

Line up 5,819 on the top, and 85 on the bottom. Multiply 9 x 5, and if there are any carry-ons, put them above the top line of numbers. Once done with multiplying the top by 5, go under the line and write a 0. Then continue to multiple with 8, in the same way. Then add the top and bottom line (your answers), and you should get 494,615.

Strategy 2.

Use a calculator.

Answer:

Astronomers were trying to find the weight of six planets - Mars, Venus, Pluto, Jupiter, Mercury, and Saturn. The number of planets lighter than Mars was equal to the number of planets heavier than Venus. Saturn was heavier than Mars and Mercury were heavier than Pluto. Venus was lighter than Mars. Saturn was not the heaviest planet.

Step-by-step explanation:

Answer:

3.742 pls mark me branilest pls

Step-by-step explanation:

steps are in the picture.

Answer:

5mL

Step-by-step explanation:

Final volume - Initial Volume

59mL-54mL

Please mark me as BRAINLIEST

Answer:

0.83

Step-by-step explanatio

u welcome

Answer: not a geometric sequence.

Step-by-step explanation:

1 times 3 = 3 and

3 times 3 is 9 and not 12

Answer:5

Step-by-step explanation: the middle is 2 and 3 so since there is 2 numbers add them and you get 5.

The mean of the normal distribution represented by the data is 4.5.

None of the given options is correct.

In mathematics and statistics, the term "mean" refers to the average of a set of variables. There are various ways to determine the mean, including geometric means, harmonic means, and simple arithmetic means (putting the numbers together and dividing the result by the number of observations).

The mean of the normal distribution represented by the given data can be computed as follows:

Find the sum of the values:

sum = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36

Divide the sum by the total number of values to obtain the mean:

mean = sum / n = 36 / 8 = 4.5

Therefore, the mean of the data is 4.5.

To learn more about the mean;

brainly.com/question/13451489

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Answer:

(-1, 7)

Step-by-step explanation:

When reflecting across the y-axis, the x coordinate will be the additive inverse of what it was so for (1, 7), it would become (-1, 7).

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \large \sf1 + - w ^ { 2 } + 9 w[/tex]

Quadratic polynomial can be factored using the transformation [tex]\sf \: ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right)[/tex], where [tex]\sf x_{1} and x_{2}[/tex] are the solutions of the quadratic equation [tex]\sf \: ax^{2}+bx+c=0[/tex].

[tex] \large \sf-w^{2}+9w+1=0 [/tex]

All equations of the form [tex]\sf\:ax^{2}+bx+c=0[/tex] can be solved using the quadratic formula: [tex]\sf\frac{-b±\sqrt{b^{2}-4ac}}{2a}[/tex]. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

[tex] \large \sf \: w=\frac{-9±\sqrt{9^{2}-4\left(-1\right)}}{2\left(-1\right)} \\ [/tex]

Square 9.

[tex] \large \sf \: w=\frac{-9±\sqrt{81-4\left(-1\right)}}{2\left(-1\right)} \\ [/tex]

Multiply -4 times -1.

[tex] \large \sf \: w=\frac{-9±\sqrt{81+4}}{2\left(-1\right)} \\ [/tex]

Add 81 to 4.

[tex] \large \sf \: w=\frac{-9±\sqrt{85}}{2\left(-1\right)} \\ [/tex]

Multiply 2 times -1.

[tex] \large \sf \: w=\frac{-9±\sqrt{85}}{-2} \\ [/tex]

Now solve the equation [tex]\sf\:w=\frac{-9±\sqrt{85}}{-2}[/tex] when ± is plus. Add -9 to [tex]\sf\sqrt{85}[/tex].

[tex] \large \sf \: w=\frac{\sqrt{85}-9}{-2} \\ [/tex]

Divide -9+ [tex]\sf\sqrt{85}[/tex] by -2.

[tex] \large \boxed{ \sf \: w=\frac{9-\sqrt{85}}{2}} \\ [/tex]

Now solve the equation [tex]\sf\:w=\frac{-9±\sqrt{85}}{-2}[/tex] when ± is minus. Subtract [tex]\sf\sqrt{85}[/tex] from -9.

[tex] \large \sf \: w=\frac{-\sqrt{85}-9}{-2} \\ [/tex]

Divide [tex]\sf-9-\sqrt{85}[/tex] by -2.

[tex] \large \boxed{ \sf \: w=\frac{\sqrt{85}+9}{2}} \\ [/tex]

Factor the original expression using [tex]\sf\:ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right)[/tex]. Substitute [tex]\sf\frac{9-\sqrt{85}}{2} [/tex]for [tex]\sf\:x_{1}[/tex] and [tex]\sf\frac{9+\sqrt{85}}{2}[/tex] for [tex]\sf\:x_{2}[/tex].

[tex] \large \boxed{ \boxed {\mathfrak{-w^{2}+9w+1=-\left(w-\frac{9-\sqrt{85}}{2}\right)\left(w-\frac{\sqrt{85}+9}{2}\right) }}}[/tex]

Well, in the picture you inserted it says that it's 8th grade mathematics. So, I'm not sure if you have learned simplification with the help of biquadratic formula. So, if you want the answer simplified only according to like terms then your answer will be ⇨

[tex] \large \sf \: 1 + - w {}^{2} + 9w \\ =\large \boxed{\bf \: 1 - {w}^{2} + 9w}[/tex]

This cannot be further simplified as there are no more like terms (you can use the biquadratic formula if you've learned it.)

Answer:

[tex]y = \frac{3}{5} x + \frac{49}{5} [/tex]

Step-by-step explanation:

slope = -5/3

Perpendicular slopes must be opposite reciprocals of each other:  m1 * m2 = –1

With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b

the new slope = 3/5

y = 3/5 x + b

8 = -9/5 +b

b = 40/5 + 9/5 = 49/5

y=3/5x + 49/5

Answer:

ummmmm

Step-by-step explanation:

that photo is not great cant se butt

Answer:

The answer of probability will be 2/15 or 2 out of 15.

Answer:

f(-2) = -1

f(0) = -5

f(4) = -1

Step-by-step explanation:

The number inside of f( ) is telling you which equation to use to get the answer.

Example:

f(-2) since -2 is less than 0 you would use (x^2) - 5. So, ((-2)^2) - 5 = 4-5 = -1

f(0) since 0 is less than or equal to 0 you would use (x^2) - 5 again. So, ((0)^2) - 5 = 0-5 = -5

f(4) since 4 is grater than 3 you would use (2^(x-1)) - 9. So, (2^(4-1)) - 9 =  -1

The Graph, try to make it as straight as possible

Answer:

26 1/32

Step-by-step explanation:

Doing good so far

To make an exponent positive, you need to make the number a fraction and move it to the opposite of what it is in (so 4^-3  =  1/4^3)

25 + 1 + (1/(4^3) + 1/(2^6))

26 + (1/64 + 1/64)

26 + 2/64

26 + 1/32

= 26  1/32