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3 years ago

Multiply by 4,subtract 5, find the input when the output is 29

Mathematics

1 answer:

Alborosie3 years ago

8 0

Answer:

17/2

Step-by-step explanation:

4x-5=29

4x=34

x=17/2

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The polynomial of degree 5, P ( x ) has leading coefficient a=1, has roots of multiplicity 2 at x = 3 and x = 0 , and a root of

ser-zykov [4K]

Answer:

$p_{5} (t) = x^{5} - 5\cdot x^{4} + 3\cdot x^{3} +9\cdot x^{2}$ , for $r_{1} = 0$

Step-by-step explanation:

The general form of quintic-order polynomial is:

$p_{5}(t) = a\cdot x^{5} + b\cdot x^{4} + c\cdot x^{3} + d\cdot x^{2} + e \cdot x + f$

According to the statement of the problem, the polynomial has the following roots:

$p_{5} (t) = (x - r_{1})\cdot (x-3)^{2}\cdot x^{2} \cdot (x+1)$

Then, some algebraic handling is done to expand the polynomial:

$p_{5} (t) = (x - r_{1}) \cdot (x^{3}-6\cdot x^{2}+9\cdot x) \cdot (x+1)\\p_{5} (t) = (x - r_{1}) \cdot (x^{4}-5\cdot x^{3} + 3 \cdot x^{2} + 9 \cdot x)$

$p_{5} (t) = x^{5} - (5+r_{1})\cdot x^{4} + (3 + 5\cdot r_{1})\cdot x^{3} +(9-3\cdot r_{1})\cdot x^{2} - 9 \cdot r_{1}\cdot x$

If $r_{1} = 0$ , then:

$p_{5} (t) = x^{5} - 5\cdot x^{4} + 3\cdot x^{3} +9\cdot x^{2}$

5 0

3 years ago

Simplify (5rs-1t3)(-3r2st).

maxonik [38]

(5rs-1t3)(-3r2st)

-30r^2s^2t+18rst^2

7 0

4 years ago

A hard-boiled egg is removed from a pot of hot water and set on the table to cool. The rate of change of the egg’s temperature T

Simora [160]

Answer:

dT/dt = k(T-75)

Step-by-step explanation:

dT/dt = the rate of change of the egg's temperature T with respect to time t

k = constant

(T-75) = difference between the egg's temperature and the room temperature 75 degree

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3 years ago

To get to a dog show, Mr. Luna first drives 7 miles west from his home and then 3 miles north. Next, he turns east and drives 11

umka21 [38]

All the other stuff, east/west, doesn't matter.

He drives 3 miles north, then later on he drives 4 more miles north:
3 + 4 = 7

The dog show is 7 miles north of his home.

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4 years ago

Help? y - intercepts <br> What is the y-intercept of the equation 2x + 3y = 12?

Nookie1986 [14]

Answer:

2x + 3y = 12 Is the standard form for linear equations. To determine the slope, solve the equation for y in order to convert to the slope - intercept from7 y = mx + b where is m the slop and b is the y - intercept.

2x + 3y = 12

subtract 2x from both sides.

3y = -2x + 12

Divide both sides by 3.

y= - 2/3 x + 12/3 =

y= - 2/3x + 4

The slope is - 2/3

5 0

3 years ago