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Aleks04 [339]
3 years ago
8

A line is defined by the equation y=2/3x-6. The line passes through a point whose y-coordinate is 0. What is the x-coordinate of

this point?
Mathematics
2 answers:
AlladinOne [14]3 years ago
8 0

Answer:

x=9

Step-by-step explanation:

To find the x-coordinate, plug the y-coordinate into the equation and solve from there.

(0 = 2/3x - 6)  (6 = 2/3x)  (18 = 2x)  9 = x

Debora [2.8K]3 years ago
6 0

Answer:

The value of x is 9 when y=0

x-coordinate is 9

Passing point (9,6)

Step-by-step explanation:

We are given the equation of line y=\frac{2}{3}x-6

The line passes through a point whose y-coordinate is 0.

We need to find x-coordinate of passing point whose y-coordinate is 0.

Put y=0 into the equation of line and solve for x

0=\frac{2}{3}x-6

6=\frac{2}{3}x

x=3\times 3 = 9

Passing point (9,6)

Hence, The value of x is 9 when y=0

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Answer: $17.85

Step-by-step explanation:

The tax on the T-shirt is 5% and the price is $17.

To find the after-tax cost, first find the tax amount:

= 5% * 17

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Then add this tax amount to the price to find the after-tax amount:

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3 years ago
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Harlamova29_29 [7]

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4 0
2 years ago
15% of x is 27, x= what?<br>please helppp meeee
natta225 [31]

Answer:

\huge \boxed{x=180}

Step-by-step explanation:

15% of x = 27

\sf 15\% \cdot x =27 \\\\\\ 0.15x=27 \\\\\\ Divide \ both \ sides \ by \ 0.15. \\\\\\ \frac{0.15x}{0.15}  = \frac{27}{0.15} \\\\\\ x = 180

15% of 180 is 27.

8 0
3 years ago
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masha68 [24]

Answer:

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7 0
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You have 132 m of fencing with which to make 2 side by side rectangular enclosures against an existing wall. If the enclosures a
Deffense [45]
The two enclosures will need three equal fences coming out from the wall and meeting another fence running parallel to the wall. If the fences coming out from the wall are x metres long the parallel fence will be (132 - 3x) metres long.
The area A = x(132 - 3x) = 132x - 3x^2
The derivative of A = zero when 132 - 6x = 0 which means the maximum area is when x = 22m
The maximum area = 22 x (132 - 3 x 22) = 1452 m^2

If you don’t know how to find derivatives then you could sketch the graph of y = x(132 - 3x).
This is an inverted parabola (hill) with x intercepts at 0 and 132/3 = 44.
The maximum point (top of the hill) is halfway between 0 and 44 I.e. 22m

Try any other value for x and the area will be smaller.
8 0
2 years ago
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