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mars1129 [50]
3 years ago
13

What is the remainder when x 3 - 7x - 6 is divided by the linear factor x - 4? 4

Mathematics
1 answer:
mart [117]3 years ago
6 0
Hello,

P(x)=x^3-7x-6

P(4)=4^3-7*4-6=30
Remainder=30

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Divide (x^3+2x^2-x-2) by (x-1)
Ymorist [56]
\frac{x^3+2x^2-x-2}{(x-1)} =x^2+3x+2 \\  \\ x^3+2x^2-x-2= \\= x^2(x+2)-(x+2) \\ =(x+2)(x^2-1)=(x+2)(x-1)(x+1) \\  \\  \frac{x^3+2x^2-x-2}{(x-1)}  = \frac{(x+2)(x-1)(x+1)}{x-1} =(x+2)(x+1)=x^2+3x+2
7 0
3 years ago
10c + 5 ≤ 45<br> I need the graph<br> pls help
LuckyWell [14K]

Answer:

c<=4

Step-by-step explanation:

4 0
2 years ago
Consider the function y=x^2+5x-2 . What would happen to the graph if (x -1) was substituted in place of the x?
Ilia_Sergeevich [38]

Answer:

B.

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f(x - c) shift the function <em>c</em> units to the right.

In this case, if (x - 1) was substituted in place of the x, the graph would shift 1 unit to the right.

If you want to graph the new function and know the graph of the previous one, this relationship avoids you the substitution of (x - 1) into the function and expansion of the expression to obtain a new quadratic formula.

3 0
2 years ago
Suppose that in a certain chemical process the reaction time y (hr) is related to the temperature (°F) in the chamber in which t
Svetllana [295]

Answer:

The expected change in reaction time for a 1°F increase in temperature is 4.39 hours.

The expected change in reaction time for a 8°F increase in temperature is 4.32 hours.

Step-by-step explanation:

The simple linear regression line is used to determine the changes in the dependent variables when the independent variable is changed.

The general form of the simple linear regression line is:

y=\alpha +\beta x

The simple linear regression model for the reaction time of a certain chemical process based on the temperature (°F) in the chamber in which the reaction takes place is:

y=4.40-0.01\ x

Here,

<em>y</em> = reaction time (in hours)

<em>x</em> = temperature (°F)

Compute the expected change in reaction time for a 1°F increase in temperature as follows:

y=4.40-0.01\ (1^{\text{o}})

  =4.40-0.01\\=4.39\ \text{hours}

The expected change in reaction time for a 1°F increase in temperature is 4.39 hours.

Compute the expected change in reaction time for a 8°F increase in temperature as follows:

y=4.40-0.01\ (8^{\text{o}})

  =4.40-0.08\\=4.32\ \text{hours}

The expected change in reaction time for a 8°F increase in temperature is 4.32 hours.

7 0
3 years ago
The volume of a paint can is 215 in. If the height of the can is 7.5 in, what is the radius to the nearest whole number
natima [27]
Assuming the can is a cylinder set up the equation V=pi(r)^2h
215=pi(r)^2(7.5)
r^2=9.1248
r=3.021
3 0
3 years ago
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