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Leno4ka [110]
3 years ago
11

According to the Rational Root Theorem, -2/5 is a potential rational root of which function?

Mathematics
1 answer:
Lelu [443]3 years ago
6 0

ANSWER

The correct answer is D

EXPLANATION

According to the Rational Roots Theorem, the possible rational roots are all the factors of the constant term expressed over the factors of the leading coefficient of the polynomial function.

Based on this we conclude that,

- \frac{ 2}{5}

is a potential rational root of

f(x) = 25 {x}^{4}  - 7 {x}^{2}  + x + 4

The reason is that the numerator of this rational root is a factor of 4 and the denominator is a factor of 25.

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What property of multiplication is used in this equation? <br> 9 · (-1) = 9
wel
The answer is Identity property of multiplication
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3 years ago
the atomic number and atomic weight of chlorine element is 17 and 35 respectively. Calculate the number of proton, neutron and e
grin007 [14]

A chlorine nucleus will contain: Number of protons Z = 17. Number of protons + neutrons A = 35. Number of neutrons N = 35 - 17 = 18.

4 0
3 years ago
Read 2 more answers
Compare the following two numbers. Which statement is true?
neonofarm [45]

Answer:

A. The "9" in the second number represents 10 times as much as the "9" in the first number.

Step-by-step explanation:

If you look at the "9" in the first number as 90 and multiply that by 10, you will get 900. In the second number, the "9" is in the 100's place.

3 0
3 years ago
A wrestling mat used for high school competition is shown. The wrestling circle has a diameter of 28 feet. The inner circle has
astraxan [27]

Answer:

537.2 ft^2

Step-by-step explanation:

For this problem, we need to find the area of both the inner and outer circle and subtract the area of the outer circle from the area of the inner circle.

The equation for the area of a circle is:

A = πr^2

So we are given the diameters of the circles.  We know that the diameter of a circle is twice the radius.

Let's find the area of the 10ft diameter circle:

A_Little = π(10/2)^2 = π(5)^2 = 25π

Let's find the area of the 28ft diameter circle:

A_Big = π(28/2)^2 = π(14)^2 = 196π

So the area of the big circle excluding the inner circle would be as follows:

196π - 25π = 171π

So 171π in terms of decimals rounded to the nearest tenth would be 537.2.

Cheers.

3 0
4 years ago
A man can walk from A to B and back in a certain time at 7 km/hr.If he walks from A to B at 8 km/hr and returns from B to A at 6
DerKrebs [107]
We calculate the speed by dividing the distance over time:
s = d/t
So the distance described in the problem is always the same, A to B and B to A.
But we are told that;
7 = d/t
7 = 2d/(t + 2)
that is, the first equation say that at speed 7 km/h a distance d is walked in a time t
the second equation say that at a average speed of 7 (that is 8 on one way and 6 in the other: 8 + 6 = 14, half of it), twice the distance is walked in a time equal to the first time plus 2 minutes.
So we have a system of linear equations, 2 of them with two unknowns, we can solve that:
7 = d/t
7 = 2d/(t + 2<span>)
</span>lets simplify them:
7t = d
7(t + 2) = 2d
7t = 2d - 14
we substitute the first in the second:
<span>7t = 2d - 14
</span><span>7t = d
</span>so:
d = 2d - 14
d = 14
so the distance between A and B is 14 km
4 0
4 years ago
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