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Reil [10]
2 years ago
9

Write and solve an inequality that represents the values of x for which the area of the rectangle will be at least 35 square fee

t.
Mathematics
1 answer:
Vinil7 [7]2 years ago
5 0

Explanation:

There really is not enough information here. You have not indicated how x is related to the rectangle.Perhaps (as an alternative to the assumption I made [above]), you meant for x > 0 to be the length of one side of a square.

I have attached the answer in the picture.

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Can I get some help?​
ruslelena [56]

Answer:

y = 4x - 9

Step-by-step explanation:

The points on the graph we can see clearly are (1, -5) and (2, -1).

The equation of the line is in the form <u>slope-intercept</u>, where the general formula is y = mx + b.

We need to find "m", the slope of the line; and "b", the y-intercept.

Use the two points we found in the formula for calculating slope m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}.

Choose which is point 1 and point 2:

Point 1 (1, -5)    x₁ = 1   y₁ = -5

Point 2 (2, -1)   x₂ = 2  y₂ = -1

Substitute x₁, x₂, y₁, and y₂

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=\frac{-1-(-5)}{2-1}       Solve in the numerator and denominator

m=\frac{4}{1}        Simplify the fraction

m=4           Slope of the line

Find "b":

Substitute a point's "x" and "y" coordinates, and the slope, "m", into the general formula for slope-intercept.

I will use point 2:

x = 2; y = -1; m = 4

y = mx + b

-1 = (4)(2) + b         Multiply

-1 = 8 + b            Start isolating "b"

-1 - 8 = 8 - 8 + b            Subtract 8 from both sides

-1 - 8 = b           "b" is isolated

b = -9           Answer for "b", y-intercept.

The variable should be on the left side for standard formatting.

Take the general formula: y = mx + b

Replace "m" and "b" with the values we found.

y = 4x - 9

8 0
2 years ago
A rectangular tank measuring 50 cm x 30 cm x 60 cm was completely filled with water. 1 5 of the water in the tank was transferre
Ierofanga [76]

Answer:

<em>72,000cm³</em>

Step-by-step explanation:

Volume of the rectangular tank = Length *  Width * Height

Given

Length = 50cm

Width = 30cm

Height = 60cm

Get the volume:

Volume = 50*30*60

Volume = 90,000cm³

Hence the volume of the rectangular tank is 90,000cm³.

If 1/5 of the volume of water was transferred to another tank, the volume transferred will be:

Amount transferred = 1/5 * 90,000

Amount transferred = 18000cm³

Amount left in the tank = 90,000 - 18,000

<em>Amount of water left in the tank = 72,000cm³</em>

5 0
2 years ago
Rename the number 720= tens
AlekseyPX
This is 72 tens .....
6 0
3 years ago
Read 2 more answers
Determine the slope of each line (-6,5), (-4,-3)
Tamiku [17]
The slope for those points, as ONE (1) line is: y=-9/2<span>x.</span>
3 0
3 years ago
X+-4+2x=14<br> x=<br> Blank 1:
never [62]

Answer:

6

Step-by-step explanation:

3x-4=14

3x=14+4

3x=18

x=6

6 0
3 years ago
Read 2 more answers
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