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Sonja [21]
3 years ago
12

Solve the nonlinear inequality (x^2 -2x +3) / (x+1) less than or equal to 1

Mathematics
1 answer:
kondor19780726 [428]3 years ago
4 0
x\not=-1\\\\
\dfrac{x^2-2x+3}{x+1}\leq1\\
\dfrac{x^2-2x+3}{x+1}-1\leq0\\
\dfrac{x^2-2x+3}{x+1}-\dfrac{x+1}{x+1}\leq0\\
\dfrac{x^2-3x+2}{x+1}\leq0\\
(x^2-3x+2)(x+1)\leq0\\
(x^2-x-2x+2)(x+1)\leq0\\
(x(x-1)-2(x-1))(x+1)\leq0\\
(x-2)(x-1)(x+1)\leq0\\
\boxed{x\in (\infty,-1\rangle\cup(1,2\rangle}
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3p+2≥−10<br><br> Solve the inequality. Graph the solution.
Alisiya [41]
Answer:
p is greater or equal to 4.

Why?
Subtract 2 on both sides
Then divide 3 on both sides
You’ll get the answer above
5 0
3 years ago
Read 2 more answers
Need help with the question at the top<br><br> Thanks
Effectus [21]

First we must find area of a single square.

Meaning we divide total area of 80 centimetres squared by 5 since we have 5 squares in the shape.

A_{square}=\frac{A_{shape}}{5}=\underline{16}

Now from the picture we can see that the perimeter of shape is combined by 4 times 3 times the length of side of 1 square.

So we need to find side of 1 square.

a=\sqrt{A_{square}}=\sqrt{16}=\underline{4}

As we stated before the formula for perimeter of this shape is:

P=4(3\cdot a)=4(3\cdot4)=4\cdot12=\boxed{48}

The perimeter of shape is 48 centimetres.

Hope this helps.

r3t40

8 0
3 years ago
Can u pls help me with this question asap ​
serg [7]

Answer:

Either increase the number of acres that can be used for strawberry fields (by buying more land)..If we use the same numbers from earlier, then the farmer should use approximately 16.65 acres of land (or just 17 acres of land)

So if the farmer has 17 acres of land or more, then he will make more than $70,000 per year

Step-by-step explanation:

Use the proportions from earlier

We have the point (5, 21000)

70,000/21,000 = 3.3

To find the x-value multiply 3.3 by 5

3.3 * 5 = 16.65

We can even use the other point's values to find the exact same answer

Point (3.5, 14700)

70,000/14,700= 4.7619047619

4.7619047619 * 3.5 = 16.66 (literally about the same)

3 0
3 years ago
Answer both please asap (there’s a picture)
krek1111 [17]

Answer:

(0, 1)

Step-by-step explanation:

So, the spot on the graph where they cross.

4 0
3 years ago
Read 2 more answers
The weights (to the nearest pound) of some boxes to be shipped are found to be:. Weight 65 68 69 70 71 72 90 95 frequency 1 2 5
Lena [83]
So the mean is 72.97

We need to subtract the mean from each value and square it.
(65-72.97)^2= 63.5209
(68-72.97)^2=24.7009
(69-72.97)^2=15.7609
(70-72.97)^2=8.8209
(71-72.97)^2= 3.8809
(72-72.97)^2=0.9409
(90-72.97)^2=290.0209
(95-72.97)^2=485.3209

Now we add up the new values ( also consider their frequency) and find their mean.
Add the values
63.5209+(2 •24.7009=49.4018)+(5•15.7609=78.8045)+(8•8.8209=70.5672)+(7•3.8809=27.1663)+(3•0.9409=2.8227)+(2•290.0209=580.0418)+(2•485.3209=970.6418)= 1,842.967
Divide by total numburs to find the mean
1,842.967/ 30=61.43223333

The standar deviation is the square root of the mean so is
Square root of 61.43223333=7.837871735
Round to the nearest tenth
Standard Deviation is 7.8



7 0
4 years ago
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