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4 years ago

How to solve for quadratic equations with inequalities?

1 answer:

3 0

First solve the quadratic as you would an equation, so you will get two real zeroes p and q so that (x-p)(x-q)=0 is another way of expressing the quadratic. All quadratics can be represented graphically by a parabola, which could be inverted. When the x² coefficient is negative it’s inverted. If the coefficient of x² isn’t 1 or -1 divide the whole quadratic by the coefficient so that it takes the form x²+ax+b, where a and b are real fractions. The curve between the zeroes will be totally below the x axis for an upright parabola, and totally above for an inverted parabola. This fact is used for inequalities. An inequality will be <, ≤, > or ≥. This makes it easy to solve the inequality. If the position of the curve between the zeroes is below the axis then outside this interval it will be above, and vice versa. So we’ve defined three zones. x

q, and p

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Please help me with the following (1-5)

Ivanshal [37]

$1. \: 405352 \: cm = 4.05352 \times {10}^{5} \: cm$

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2. 7.6352 x 10-3 kg ( This is scientific notation) [ If you want —> Standard notation]

7.6352 x 10^ -3 kg = 0.0076352 kg

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$3. \: \: 3.1 \times 10 ^{4} mm + 4.87 \times {10}^{5} \: mm \\ 0.31\times 10 ^{4} mm + 4.87 \times {10}^{5} \: mm \\ = 5.18 \times {10}^{5} \: mm$

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$4. \: \: (4.8 \times {10}^{5} \: km) \times (2.0 \times {10}^{3} \: km ) \\ = 9.6 \times {10}^{8} \: km$

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$5.(3.3 \times{10}^{ - 4}\: ml)\div(1.1 \times {10}^{ - 6}\: ml) \\ \\ \frac{3.3 \times {10}^{ - 4} \: ml}{1.1 \times {10}^{ - 6} \: ml} = \frac{33 \times {10}^{ - 4} \: ml}{11 \times {10}^{ - 6} \: ml} \\ \\ = \frac{33 \times {10}^{ - 4 + 6} }{11} ml \\ \\ = 3 \times {10}^{2} \: ml$

I hope I helped you^_^

6 0

3 years ago

In the function y = 10.00x + 35, y represents the cost of cabin lodging per occupant and x represents the number of occupants. H

Oxana [17]

Is cost $10 more for every occupant

3 0

3 years ago

Find the following F(0)

Arte-miy333 [17]

f(0) means x = 0

Since x = 0 less than 2 so we are using f(x) = -x + 2

Substitute x = 0 into f(x) = -x + 2

f(0) = -0 + 2

f(0) = 2

Answer

6 0

3 years ago

Anne is building bookcases that are 3.1 feet long. How many complete shelves can be cut from a 12-foot board?

bekas [8.4K]

Answer: 3 shelves

Step-by-step explanation:

12 ÷ 3.1 = 3.87…

Since this is more than 3 but less than 4, we can build 3 full shelves with a leftover.

5 0

3 years ago

Which equation matches the table??

irakobra [83]

The answer is the third one of y = 6x.

As you substitute x = 1, you get y = 6.

You substitute x = 2, you get y = 12.

8 0

3 years ago