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3 years ago

Which order pair is not included in the graph of y= 3x+6 the coordinates is (1,9) (10,36) (3,12) (6,18)

Mathematics

2 answers:

Assoli18 [71]3 years ago

8 0

Answer:

The pair is not included in the graph of y= 3x+6 ⇒ (3,12) & (6,18)

Step-by-step explanation:

given ⇒ y = 3x + 6

It is a linear equation, can be graphed easily by supposing two point of x and find the corresponding value of y ⇒ see the table.

See the attached figure.

As shown on the figure, the line passes through all the points except

(3,12) and (6,18)

serious [3.7K]3 years ago

3 0

Answer:

(3,12)

Step-by-step explanation:

you would put the 12 as y then 3×3=9+6=15 and 12 doesn't equal 15

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Answer:

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Step-by-step explanation:

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3 years ago

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The digits of a two-digit number sum to 8. When the digits are reversed the resulting number is 18 less than the original

egoroff_w [7]

Answer:

Step-by-step explanation:

5+3=8, 53 flipped is 35, and 53-35=18

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4 years ago

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a toy manufacturer has designed a new piece for use in building models. It is a cube with side lengths 7 mm and has a 3 mm in di

Ray Of Light [21]

Given that the cubical piece has side (s) 7 mm, and a cylindrical hole of diameter (d) as 3 mm.

The volume of the piece can be calculated as,

$\begin{gathered} \text{Volume of piece}=\text{ Volume of cube}-\text{ Volume of cylinder} \\ V=s^3-\frac{\pi}{4}d^2s \\ V=7^3-\frac{\pi}{4}(3)^2(7) \\ V=343-\frac{63\pi}{4} \\ V\approx293.52mm^3 \\ V\approx293.52\times10^{-9}\text{ }m^3 \end{gathered}$

It is mentioned that the material costs $207 per cubic meter, so the cost (c) of 1 piece is calculated as,

$\begin{gathered} \text{Cost of 1 piece}=\text{ Cost per unit volume}\times\text{ Volume of 1 piece} \\ c=207\times293.52\times10^{-9} \\ c\approx60758.64\times10^{-9} \end{gathered}$

This is the cost (in dollars) for 1 piece.

Given that the manufacturer wants to produce 1,000,000 such pieces, so the total cost (TC) is calculated as,

$\begin{gathered} \text{Total Cost}=\text{ Cost per piece}\times\text{ No. of pieces} \\ TC=60758.64\times10^{-9}\times1,000,000 \\ TC=60758.64\times10^{-9}\times10^6 \\ TC=60758.64\times10^{-3} \\ TC=60.75864 \\ TC\approx60.75 \end{gathered}$

Thus, the total prototypes will cost around $60.75

7 0

1 year ago

Which equation could be used to find the value of x in the triangle below?

valkas [14]

Answer:

4x - 12 = 180

Step-by-step explanation:

Sum of the angles of triangle equals 180

x + 12 + 2x - 29 + x + 5 = 180

Simplified

4x - 12 = 180

5 0

3 years ago

Solving systems equations by elimination

pishuonlain [190]

I won't answer them all for you (don't want to cheat - need to learn something).
But for the first one given:

-2x-9y=-25
-4x-9y=-23

you set up either x or y (which ever one you want to eliminate) so that one of them cancels.
So this one is easy - you just have to multiply an entire row by negative (doesn't matter which one) - so that the y's will be + and -

Since they're both 9 and they're subracting NOW - you can eliminate the y value. Now add/subtract the x's. So it'd be -2 or 2 depending on how you eliminated y. Then add the number outside of the = sign. Now just solve for x. After that plug in whatever you got for x into both of the rows. Then find the y value.

Hopefully this wasn't confusing -- reply if it is and I will try to simplify. I can give you contact if you need help with the rest

Good luck!

3 0

3 years ago