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2 years ago

Solve. 3x + 3 < 93- 6

Mathematics

1 answer:

AlladinOne [14]2 years ago

3 0

Well this is easy.

We have linear inequality,

$3x+3 < 93 -6$

Simplifying this a bit to get,

$3x < 84$

Divide by 3 (both sides),

$x < 28$

Or with interval notation, $x\in (-\infty, 28)$ .

Hope this helps. :)

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Find the volume and surface area of the prism below

Nata [24]

Answer:

a) The volume of the prism is 660 mm³

b) The surface area of the prism is 514 mm²

Step-by-step explanation:

The given prism for which we are to find the volume and the surface area shows the dimensions of the sides

a) To find the volume, we can consider the prism as a composite figure as follows;

The topmost cuboid with dimensions (15 - 2×3) mm, 3 mm, and 9 mm

Therefore, the volume of the topmost cuboid, V₁, is given as follows;

V₁ = 5 mm × 3 mm × 9 mm = 135 mm³

The volume of the cuboid on which the top cuboid rest, V₂, is given as follows;

V₂ = 15 mm × 5 mm × 7 mm = 525 mm³

The volume of the prism, V = V₁ + V₂

Therefore, we have;

V =135 mm³ + 525 mm³ = 660 mm³

The volume of the prism, V = 660 mm³

b) The surface area of the prism is given as follows;

The surface area of the top cuboid, SA₁, is given as follows;

SA₁ = 9 mm × 5 mm + 2 × 3 mm × 9 mm + 2 × 3 mm × 5 mm = 129 mm²

The surface area of the larger cuboid, SA₂, is given as follows;

SA₂ = 2 × 15 mm × 7 mm + 2 × 5 mm × 7 mm + 2 × 3 mm × 5 mm + 15 mm × 5 mm = 385 mm²

The surface area of the prism, SA = SA₁ + SA₂

∴ The surface area of the prism, SA = 129 mm² + 385 mm² = 514 mm²

4 0

2 years ago

I need help with problem number 3 if someone can help me with that

Flura [38]

Plug in x into the equation. Take x= -2 for example. Your equation is 2x-5, so instead of x, you put -2.
2(-2)-5 = -9
Your table is as follows:
(-2,-9)
(-1,-7)
(0,-5)
(1,-3)

3 0

2 years ago

Please answer this question for points

alexgriva [62]

Answer:

Step-by-step explanation:

Slope-intercept form is y = mx + b

"m" is the slope, how steep the line is.

"b" is the y-intercept, where to graph hits the y-axis.

Check the scale for this grid. Since there are "1" written on the first box after the middle, <u>one square = one unit</u>.

To find "m", use $m = \frac{rise}{run}$ between the two dotted points on the graph. The first point is always on the left.

<u>"Rise" means how many squares above</u> the first point the second point is.

Since the second point is below the first point, the number is negative.

<u>"Run" means how many squares to the right</u> the second point is.

$m = \frac{rise}{run}$

$m = \frac{-2}{1}$

$m = -2$

To find "b", look at where the graph it touching the y-axis.

The y-axis is the vertical line (going from top to bottom).

Count the number of squares from the grid's middle to the graph line.

There are 3 squares.

Since the graph touches below the origin, this is a negative number.

b = -3

In the boxes, you put negative two (-2) and negative three (-3).

* Usually we would simplify the equation to y = -2x - 3.

6 0

2 years ago

i am thinking of two numbers. when i add my numbers, the answer is 1. when i multiply my numbers, the answer is 0.99. what are t

Arturiano [62]

Answer:

Step-by-step explanation:

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2 years ago

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Is y=7-3x linear or non linear

sveta [45]

Answer:

It is linear

Step-by-step explanation:

If you graphed it it would be in a strait line. You also want to make sure that you write your answer in slope intercept form (y = mx + b). Your line would have to be y = -3x + 7 to be in slope intercept form.

6 0

2 years ago

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