Find the domain over which the function y = x + 6x is monotonic increasing.

All three are similar

In ∆SUT and ∆VWX

So by SSA they are similar

In ∆PRQ and rest two

All angles are.

So

They are similar by AAA congruence

The equation, that Sebastian can use to find p, the number of pencils each friend will receive is given by: Option C: 6p = 30

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, we're given that:

Now, that means, if we collect all those p pencils, then they should be 30 in count.

Sum of pencils from 6 friends = p + p + p + p + p + p = 30

or

[tex]6 \times p = 30[/tex] (since p was added 6 times itself, so we write it as 6 times p)

we don't write the "×" sign, (Using sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together) Thus, the equation is 6p = 30 (well both equations are same).

Thus, the equation, that Sebastian can use to find p, the number of pencils each friend will receive is given by: Option C: 6p = 30

Learn more about forming equations here:

https://brainly.com/question/11938672

Answer:C

Step-by-step explanation:

The statement that is true about trend lines is: A. A trend line should be as close as possible to the points.

A trend line, which can also be called the line of best fit, is a straight line that represents the pattern of a data, which can be positive or negative.

A trend line does not necessarily need to connects all the points, but goes through some points to show the pattern. It may not even be necessary to go through any of the points, what's improtant is for the trend line to be close to as many points as possible.

Therefore, the statement that is true about trend lines is: A. A trend line should be as close as possible to the points.

Learn more about trend lines on:

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Answer:

slope = 0.5

Step-by-step explanation:

[tex]slope=\frac{-5-1}{-6-6} =\frac{-6}{-12} =\frac{1}{2} =0.5[/tex]

Hope this helps

The slope of the graph through points (6,1) and (-6,-5) is 0.5.

The slope formula can be expressed as:

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

Given the coordinates of the points through which the graph passes through:

Point 1 ( 6,1 )

x₁ = 6

y₁ = 1

Point 2( -6,-5 )

x₂ = -6

y₂ = -5

Plug the coordinates into the slope formula and simplify.

[tex]Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}\\\\Slope (m) = \frac{-5 - 1}{-6 - 6}\\\\Slope (m) = \frac{-6}{-12}\\\\Slope (m) = \frac{1}{2}\\\\Slope (m) = 0.5[/tex]

Therefore, the slope of the line is 0.5.

Learn more about slope formula here: brainly.com/question/24578307

#SPJ3

Answer:

Rhombi and Squares

Step-by-step explanation:

1) KY (pythagorean Thm) 5² + x² = 13²    ...= 12

2) PK Diagonals bisected. also = 12

3) Diagonals of rhombi are perpendicular. <YKZ = 90

4) 67. Alternate interior angles are congruent.

5) 3. Diagonals are bisected and congruent for squares.

6) 45° . Angles are bisected by diagonals.

7) 90° . All angles of squares are right angles.

8) 6. Diagonals are bisected. So 3 is doubled to 6.

9) I need graph paper.. hol'up

Step-by-step explanation:

let kevein be x and daniel be y

x=4y (equation i)

x=6+y(equationii)

putting the value of x in equationii

4y=6+y

3x=6

x=2

Answer:

Area of a Rectangular prism is

A = 2lh + 2lw + 2hw

Step-by-step explanation:

See picture above

Answer:

  20

Step-by-step explanation:

The given relation can be written as the 2-step linear equation ...

  (1/3)n +2 1/3 = 9

  n +7 = 27 . . . . . . . . . step 1: multipy by 3 (makes the coefficient = 1)

  n = 20 . . . . . . . . . . . step 2: subtract 7 (separates variable from constant)

The number is 20.

_____

Additional comment

Usually it is convenient to do the two steps in the opposite order: get the variable term by itself, then make its coefficient 1. Here, we chose the order we did because it eliminated fractions from the problem, which is often a step you'd like to do first.

Answer:

Step-by-step explanation:

The terms x and y must be substituted to isolate one side of the equation.

First, you have to substitute by the y=5/6x+10.

[tex]\sf{-x+6\left(\dfrac{5}{6}x+10\right)=-12}[/tex]

Solve.

[tex]\sf{4x+60=-12}[/tex]

Subtract by 60 from both sides.

4x+60-60=-12-60

Solve.

4x=-72

Divide by 4 from both sides.

4x/4=-72/4

Solve.

Divide the numbers from left to right.

-72/4=-18

x=-18

Substitute: x=-18

[tex]\sf{y=\dfrac{5}{6}\left(-18\right)+10}[/tex]

Solve.

y=5/6(-18)+10=-5

y=-5

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

2/5 > 1/4

Step-by-step explanation:

First convert the denominators to the LCM which will be 20

2/5 will convert to 8/20 because 5 x 4 = 20 so 2 x 4 = 8 and 1/4 will convert to 5/20 because 4 x 5 = 20 so 1 x 5 = 5

Answer:

2 for 25

Step-by-step explanation:

all you have to do is divide money by the number of items.

Answer: 37

To maximize the length of the third side, which I'll call x, it needs to be the longest side.

So by the triangle inequality theorem, 19+19>x, meaning the maximum whole number value of x is 37.

Answer:

10.50$

Step-by-step explanation:

3 dollars a pound

3x3=9

half a pound, half the price which is 1.50$

9+1.50= 10.50

Answer:

$10.465 ≈ $10.47

Step-by-step explanation:

3.5 lb of strawberries * $2.99/lb of strawberries = $10.465 ≈ $10.47

Please mark as brainliest.

Answer:

The answer is 1.25

Step-by-step explanation:

5% of 25 = ?

5/100 × 25

1/20 × 25 = 25/20 = 5/4 = 1.25

Thus, 5% of 25 is 1.25

Answer:

  (d)  0.8736

Step-by-step explanation:

Unless you have a table of the normal distribution available, this is a calculator problem. Your calculator, or any spreadsheet, can tell you the probability is ...

  P(-1.23 ≤ z ≤ 2.12) ≈ 0.8736

82 = 0.82 = multiplier

134.18 x 0.82 = 110.0276

= £110.03 (2.d.p)

Answer:

If there are 350 kids for example your answers would be:

Boys: 182

Girls: 168

Step-by-step explanation:

If you add those numbers together you'll get 350 again

Answer:

[tex]=7\frac{10}{27}[/tex]

Decimal: 7.37

Step-by-step explanation:

[tex]9\frac{5}{9} -2\frac{5}{27} =\frac{81+5}{9} -\frac{54+5}{27} =\frac{86}{9} -\frac{59}{27}[/tex]

[tex]\frac{258}{27} -\frac{59}{27} =\frac{199}{27}[/tex]

[tex]=7\frac{10}{27}[/tex]

Hope this helps

Step-by-step explanation:

[tex] \hookrightarrow \sf y = kx [/tex]

[tex] \sf where \: k \: is \: constant[/tex]

[tex] \sf \: k = \frac{y}{x} [/tex]

[tex] \hookrightarrow \sf \: k = \frac{y}{5.5} [/tex]

Equation = [tex] \sf \: k = \frac{y}{5.5} [/tex]

well, since we know the diameter points, half-way in between is the center

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-25}~,~\stackrel{y_2}{-11}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -25 -1}{2}~~~ ,~~~ \cfrac{ -11 -1}{2} \right)\implies \left(\cfrac{-26}{2}~~,~~\cfrac{-12}{2} \right)\implies (-13~~,~~-6)[/tex]

and its radius will be half the length of the diameter

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-25}~,~\stackrel{y_2}{-11})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-25 - (-1)]^2 + [-11 - (-1)]^2}\implies d=\sqrt{(-25+1)^2+(-11+1)^2} \\\\\\ d=\sqrt{(-24)^2+(-10)^2}\implies d=\sqrt{676}\implies d=26~\hfill \stackrel{half~that}{r=13}[/tex]

[tex]\rule{34em}{0.25pt}\\\\ \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-13}{ h},\stackrel{-6}{ k})\qquad \qquad radius=\stackrel{13}{ r} \\\\[-0.35em] ~\dotfill\\\\\ [x-(-13)]^2~~ + ~~[y-(-6)]^2~~ = ~~13^2\implies (x+13)^2~~ + ~~(y+6)^2~~ = ~~169[/tex]

The straw is placed diagonally in the rectangular prism, therefore, the length of the straw is √109 inches

Diagonal of a rectangular prism = √(l² + w² + h²)

Where,

Therefore,

l = 6 inches

w = 3 inches

h = 8 inches

diagonal = √(6² + 3² + 8²)

diagonal = √36 + 9 + 64

diagonal = √109 inches

learn more rectangular prism here:https://brainly.com/question/21888893

Answer:

Assuming they bought the same shoes, $82.5

Step-by-step explanation:

80% of Original Shoe price = $82

Divide by 0.8 to find the original price.

82 / 0.8 = 102.5

102.5-20=82.5

Answer:

The scale is 11 feet per one inch.

Step-by-step explanation:

[tex]\frac{165feet}{15inches} = 11feet / inch[/tex]

Answer:

C

Step-by-step explanation:

Just simplify each possible answer by dividing by the lowest common factor, and find the odd one out.

A. 24/36 =  2/3 (LCF of 12)

B. 8/12 = 2/3 (LCF of 4)

C.  12/16 = 3/4 (LCF of 4)

D. 4/6 = 2/3 (LCF of 2)

Answer:

C

Step-by-step explanation:

if you convert all of the fractions into decimal form the only answer that is not .6667 is c

[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]

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[tex] \frac{5}{6}x = 35[/tex]

[tex]x=35\times \left(\frac{6}{5}\right) [/tex]

[tex]x=\frac{35\times 6}{5} [/tex]

[tex]x=\frac{35\times 6}{5} [/tex]

[tex]x=\frac{210}{5} [/tex]

[tex]x=42 [/tex]

══════════════════════

Step-by-step explanation:

#Carry on learning

Answer: C

Step-by-step explanation:

They are substituting PQ=25 from steps 1 and 3.

In the case of multiplication in exponents, if the numbers are the same, their exponents are added.

7 + 8 is written to the power of x, and 3 + 2 is written to the power of y.

Answer:

Step-by-step explanation:

When the stick hits the ground it has the height of zero.

Substitute h with 0 and solve the given equation for t:

[tex]- 16t^2 + 95 = 0\\16t^2 = 95\\t^2 = 95/16\\t = \sqrt{5.93} \\t=2.44[/tex]