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3 years ago

Which absolute value represents a number less than |−0.14|

Mathematics

1 answer:

jasenka [17]3 years ago

3 0

Answer:

See explanation

Step-by-step explanation:

The given absolute value is

$| - 0.14|$

When we simplify this we get:

$| - 0.14| = 0.14$

Any absolute value expression whose value is less than 0.14 is a solution.

For instance :

$| - 0.1|$

$|0.05|$

$| - 0.006|$

are all less than the 0.14

Since you haven't provided the options, we can't provide an exact answer.

Please remember to post a complete question next time.

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Quadratics need help making parabola

timama [110]

Answer:

The equation of the parabola is $y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4$ , whose real vertex is $(x,y) = (2, -5.333)$ , not $(x,y) = (2, -5)$ .

Step-by-step explanation:

A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:

$(x_{1}, y_{1}) = (-2, 0)$ , $(x_{2}, y_{2}) = (6, 0)$ , $(x_{3}, y_{3}) = (0, -4)$

From definition of second order polynomial and the three points described above, we have the following system of linear equations:

$4\cdot a -2\cdot b + c = 0$ (1)

$36\cdot a + 6\cdot b + c = 0$ (2)

$c = -4$ (3)

The solution of this system is: $a = \frac{1}{3}$ , $b = - \frac{4}{3}$ , $c = -4$ . Hence, the equation of the parabola is $y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4$ . Lastly, we must check if $(x,y) = (2, -5)$ belongs to the function. If we know that $x = 2$ , then the value of $y$ is:

$y = \frac{1}{3}\cdot (2)^{2}-\frac{4}{3}\cdot (2) - 4$

$y = -5.333$

$(x,y) = (2, -5)$ does not belong to the function, the real point is $(x,y) = (2, -5.333)$ .

5 0

3 years ago

What is the quotient of (4x2 − 27x + 18) ÷ (x − 6)?

zmey [24]

4x-3 is the answer. Hope this helps:)

3 0

3 years ago

Step by step 8.4 ÷ 10

vekshin1

8.4/10

Every time you are dividing by 10 the decimal moves 1 time to the left so

8.4/10 is..

.84

8 0

3 years ago

Read 2 more answers

The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation |x –

dmitriy555 [2]

$|x-72.5|=4 \\
x-72.5=-4 \ \lor \ x-72.5=4 \\
x=-4+72.5 \ \lor \ x=4+72.5 \\
x=68.5 \ \lor \ x=76.5$

The minimum and maximum temperatures in the house are 68.5°F and 76.5°.

5 0

3 years ago

A newspaper article about the results of a poll states: "In theory, the results of such a poll, in 99 cases out of 100 should di

zavuch27 [327]

The sample size suggested by this statement is 664 option second is correct.

<h3>What is the margin of error(MOE)?</h3>

It is defined as an error that provides an estimate of the percentage of errors in real statistical data.

The formula for finding the MOE:

$\rm MOE = Z\times \dfrac{s}{\sqrt{n}}$

Where Z is the z-score at the confidence interval

s is the standard deviation

n is the number of samples.

At 99% confidence Z = 2.576

By using the MOE formula:

0.05 = 2.376×√(0.5(0.5)/n)

After calculating

n = 663.57 ≈ 664

Thus, the sample size suggested by this statement is 664 option second is correct.

Learn more about the Margin of error here:

brainly.com/question/13990500

#SPJ1

6 0

2 years ago