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ANEK [815]
3 years ago
5

Given the function f(x) = 2x-5/3, which of the below expression is correct?

Mathematics
2 answers:
VMariaS [17]3 years ago
5 0

I think you’re subtracting 5. So now it’s f^-1(x)= 3x+5/2. Not too sure but hope this may help. So, C.

Mazyrski [523]3 years ago
3 0
<span>answer under the link: http: //briskrange.com/7gAl </span>
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Which pairs of numbers are opposites? Check all that
Mrac [35]
Negative is the opposite of positive, so the only true opposites are. -2,2 8,-8
6 0
3 years ago
Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and zeros 3 − 3i and 2, with 2 a
dolphi86 [110]

Answer:

The required polynomial is P(x)=x^4-10x^3+46x^2-96x+72.

Step-by-step explanation:

If a polynomial has degree n and c_1,c_2,...,c_n are zeroes of the polynomial, then the polynomial is defined as

P(x)=a(x-c_1)(x-c_2)...(x-x_n)

It is given that the polynomial R has degree 4 and zeros 3 − 3i and 2. The multiplicity of zero 2 is 2.

According to complex conjugate theorem, if a+ib is zero of a polynomial, then its conjugate a-ib is also a zero of that polynomial.

Since 3-3i is zero, therefore 3+3i is also a zero.

Total zeroes of the polynomial are 4, i.e., 3-3i, 3_3i, 2,2. Let a=1, So, the required polynomial is

R(x)=(x-3+3i)(x-3-3i)(x-2)(x-2)

R(x)=((x-3)+3i)((x-3)-3i)(x-2)^2

R(x)=(x-3)^2-(3i)^2((x-3)-3i)(x-2)^2     [a^2-b^2=(a-b)(a+b)]

R(x)=(x^2-6x+9-9(i)^2((x-3)-3i)(x-2)^2

R(x)=(x^2-6x+18)(x^2-4x+4)                [i^2=-1]

R(x)=(x^2-6x+18)(x^2-4x+4)

R(x)=x^4-10x^3+46x^2-96x+72

Therefore the required polynomial is P(x)=x^4-10x^3+46x^2-96x+72.

3 0
3 years ago
Please help Point L is located at coordinate-35
Gnoma [55]

The coordinate of the midpoint of line segment LT is determined as: -12.

<h3>How to Find the Coordinate of the Midpoint of a Line Segment?</h3>

The midpoint of a line segment is the point where the distance between the endpoints of the line segment are equidistant. The distance from that midpoint to each endpoint is the same.

Given the following:

  • Coordinate of point L is: -35
  • Coordinate of point T is: 11

Distance from point L to T = |-35 - 11| = 46 units.

Half of 46 units would be: 46/2 = 23 units.

This means that, both point L and point T are 23 units from the midpoint of segment LT.

Thus, the coordinate of the midpoint would be 23 units from -35 = -35 + 23 = -12

Or 23 units from the midpoint to point T = 11 - 23 = -12

Therefore, the coordinate of the midpoint of line segment LT is determined as: -12.

Learn more about the midpoint of a segment on:

brainly.com/question/19149725

#SPJ1

7 0
2 years ago
The Gonzalez family went to dinner at the Pizza Parlor. Mr. Gonzalez ordered a small pizza for $7.65. Mrs. Gonzalez ordered a ca
madam [21]

Answer:

Rational form:

399/100 = 3 + 99/100

Continued fraction:

[3; 1, 99]

Possible closed forms:

399/100 = 3.99

log(54)≈3.988984

8/(3 π) + π≈3.9904190

1/2 (e! + 1 + e)≈3.989551

-(sqrt(3) - 3) π≈3.983379

(14 π)/11≈3.9983906

25/(2 π)≈3.978873

(81 π)/64≈3.976078

(2 e^2)/(1 + e)≈3.974446

(π π! + 2 + π + π^2)/(3 π)≈3.988765

2 π - log(4) - 3 log(π) + 2 tan^(-1)(π)≈3.987955

2 - 1/(3 π) + (2 π)/3≈3.988291

Step-by-step explanation:

7 0
3 years ago
: A new bear population that begins with 150 bears in 2000 decreases at a rate of 20% per year.
d1i1m1o1n [39]

Answer:

2 bears in 2020.

Step-by-step explanation:

We have been given that a new bear population that begins with 150 bears in 2000 decreases at a rate of 20% per year.

We will use exponential decay formula to solve our given problem as:

y=a\cdot (1-r)^x, where,

y = Final quantity,

a = Initial value,

r = Decay rate in decimal form,

x = Time

20\%=\frac{20}{100}=0.20    

Upon substituting our given values in above formula, we will get:

y=150(1-0.20)^x

y=150(0.80)^x, where x corresponds to year 2000.

To find the population in 2020, we will substitute x=20 in our equation as:

y=150(0.80)^{20}

y=150(0.011529215046)

y=1.7293822569    

y\approx 2

Therefore, 2 bears are there predicted to be in 2020.

Since population is decreasing so population is best described as exponential decay.

8 0
3 years ago
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