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aleksandr82 [10.1K]
3 years ago
14

Which graph represents the proportional relationship given by the rule "y is 3 times the value of x"?

Mathematics
2 answers:
sveticcg [70]3 years ago
7 0

Answer:

It's the bottom right graph.

Step-by-step explanation:

Mila [183]3 years ago
4 0

Answer:

The fourth graph i.e. RIGHT BOTTOM GRAPH is correct which represents the proportional relationship given by the rule y = 3x.

Also, the correct graph is attached below.

Step-by-step explanation:

Given the rule

''y is 3 times the value of x".

It means

y = 3x

comparing with the slope-intercept form of the line equation

y = mx+b

where y is the slope and b is the intercept

so,

The slope of y = 3x will be: m = 3

The y-intercept of  y = 3x will be: b = 0

CHECKING THE 4TH GRAPH (THE RIGHT BOTTOM SIDE)

Taking two points

(0, 0)

(2, 6)

Finding the slope between (0, 0) and (2, 6)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                =  [6 - 0] / [2 - 0]

                = 6 / 2

               = 3

Thus, the slope of the line = m = 3

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 0

Thus, the y-intercept b = 0

Now, substituting m = 3 and b = 0 in the slope-intercept form of linear function

y = mx+b

y = 3x+0

y = 3x

Therefore, the fourth graph i.e. RIGHT BOTTOM GRAPH is correct which represents the proportional relationship given by the rule y = 3x.

Also, the correct graph is attached below.

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<img src="https://tex.z-dn.net/?f=42%20%5Ctimes%2042%20%5Ctimes%2029%20%3D%20" id="TexFormula1" title="42 \times 42 \times 29 =
Blababa [14]
The correct answer is 51156



Hope this helps :)
6 0
3 years ago
Please answer quick!
marysya [2.9K]

Answer:

The correct option is B

(-1)(1/2)(-1)(1)

Step-by-step explanation:

First thing to notice is that there is are two brackets with negative values, which means that the result must also be positive (or have two brackets with negative values).

Looking at the options, we can screen out options A and D, they have three brackets with negative values, and can't be chosen.

It is now between options B and C.

Option B, by inspection is simply 1/2

Option C is 12/4 = 3

The problem itself is 12/35

12/24 = 1/2

12/36 = 1/3

Since 12/35 is about 1/3, it is closer to 1/2 than 3, so 1/2 is the best option.

6 0
2 years ago
11 m
liubo4ka [24]

first off let's notice that the height is 11 meters and the volume of the cone is 103.62 cubic centimeters, so let's first convert the height to the corresponding unit for the volume, well 1 meters is 100 cm, so 11 m is 1100 cm.

\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=\stackrel{cm^3}{103.62}\\ h=\stackrel{cm}{1100} \end{cases}\implies 103.62=\cfrac{\pi r^2 (1100)}{3} \\\\\\ 3(103.62)=1100\pi r^2\implies \cfrac{3(103.62)}{1100\pi }=r^2 \\\\\\ \sqrt{\cfrac{3(103.62)}{1100\pi }}=r\implies \stackrel{cm}{0.00510199305952} \approx r

6 0
2 years ago
Write the equation in slope-intercept form.<br> 5x +<br> 5y = 35
vekshin1

Answer:

y = -x + 7

General Formulas and Concepts:

<u>Pre-Algebra</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

[Standard Form]   5x + 5y = 35

<u>Step 2: Rewrite</u>

<em>Find slope-intercept form.</em>

  1. Subtract 5x on both sides:                    5y = -5x + 35
  2. Divide 5 on both sides:                         y = -x + 7
4 0
3 years ago
How can you simplify this on to an expression
LiRa [457]
Hello : 
1/(√6 -1) = (√6 +1)/(√6 -1)(√6 +1) =  (√6 +1)/(√6)²-1² ) = (√6 +1)/5
4 0
3 years ago
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