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3 years ago

Ax^2+bx+c=0, where a,b,and c are rational numbers and the quadratic has two distinct zeros

Mathematics

1 answer:

wariber [46]3 years ago

6 0

Answer:

Step-by-step explanation:

ax^2+bx+c=0 ... a≠0

a,b,and c are rational numbers

the quadratic has two distinct zeros when : delta ≻0 delta = b²- 4ac

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A line has a slope of 3 and a y-intercept of 5. What is its equation in slope-intercept form? Write your answer using integers,

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Answer:

$y=3x+5$

Step-by-step explanation:

The problem is asking for slope-intercept form, luckily, they gave us both of those things.

Slope-intercept form: $y=mx+b$ , where $m=$ slope and $b=$ y-intercept.

So,

$y=3x+5$

Hope this helps!

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3 years ago

calculate the total potential energy in kj of an object whose mass is 20 kg when it is located 20 m below a datum level in a loc

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Answer:

The energy in object is 3.8 Kilo Joules.

Step-by-step explanation:

We are given the following in the question:

Mass = 20 kg

Height,h = 20 m

g=9.5 m/s^2

Formula:

Potential energy =

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Putting value we get,

$E = 20(20)(9.5)\\E = 3800~J\\E = 3.8~KJ$

Thus, the energy in object is 3.8 Kilo Joules.

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3 years ago

A relation is given in the table below write out the ordered pairs for the inverse and then determine if the inverse is a functi

postnew [5]

B, the inverse is not a function, because to the x-value 0 the inverse relation orders two values: the 1 and the 5 as well.

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3 years ago

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Determine whether the function is linear (0,1) (-2,-1) (-4,1)

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Answer:

No, this is not a linear function

Step-by-step explanation:

If you graph each point, you will notice that none of the three points line up together in one line with a consitstant slope.

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3 years ago

To rationalize the denominator of 2/square 13+ squared 11 , you should multiply the expression by which fraction?

eimsori [14]

Answer:

You should multiply the expression by $\frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}$

Explanation:

To rationalize any expression, you must multiply it by its conjugate. A conjugate is defined as a similar expression to the original one but with an opposite sign

This means that:

The conjugate of a + b would be a - b

Now, the given expression is $\frac{2}{\sqrt{13}+\sqrt{11}}$

Consider the denominator:

From the above, we can conclude that the conjugate of $\sqrt{13}+\sqrt{11}$ is $\sqrt{13}-\sqrt{11}$

And, remember that we need to keep the value of the expression unchanged. This means that we must multiply both the numerator and the denominator by the same value

Therefore:

You should multiply the expression by $\frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}$ in order to rationalize the denominator

Hope this helps :)

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3 years ago

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