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3 years ago

Using the given zero, find one other zero of f(x). i is a zero of f(x).= x4 - 2x3 + 38x2 - 2x + 37.

1 answer:

4 0

If i is a zero, -i is also a zero.
The way you get a complex zero is by taking the square root of a negative number. Taking the sqrt (-1) = + and - i

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sketch the curve represented by the parametric equations (indicate the orientation of the curve), write the corresponding rectan

pychu [463]

Answer:

Reduced equaton is $5x-3y+\frac{28}{3}=0$ .

Step-by-step explanation:

Given parametric equation is,

$x=3t-5$ and $y=5t+1$

Now, $x=3t-5\implies t=\frac{x+5}{3}$ substitute in second equation we get,

$y=\frac{5}{3}(x+5)+1$

$y=\frac{5}{3}x+\frac{28}{9}$

$\implies 5x-3y+\frac{28}{3}=0$

which is the corresponding rectangular equation after eliinating the parameter.

Now consider,

$y=\frac{5}{3}x+\frac{28}{9}$

Of which,

Slope : $\frac{5}{3}$

when,

$x=0, y=\frac{28}{9}=3.1$

$x=1, y=\frac{43}{9}=4.8; x=-1, y=\frac{13}{9}=1.4$

$x=2, y=\frac{58}{9}=6.4; x=-2, y=\frac{-2}{9}=-0.2$

$x=3, y=\frac{73}{9}=8.1; x=-3, y=\frac{-17}{9}=-1.8$

$x=4, y=\frac{88}{9}=9.8; x=-4, y=\frac{-32}{9}=-3.6$

$x=5, y=\frac{103}{9}=11.4; x=-5, y=\frac{-47}{9}=-5.2$

ans so on. Thus sketching th curve will look like given,

5 0

3 years ago

Barbara is a research biologist for Green Carpet Lawns. She is studying the effects of fertilizer type, temperature at time of a

slega [8]

Answer: 90

Step-by-step explanation:

Given : The number of fertilizer types = 6

The number of temperature zones =5

The number of water treatments=3

The number of different lawn plots = $6\times5\times3=90$

Hence, the number of different lawn plots she needs in order to test each fertilizer type, temperature range, and water treatment configuration =90

5 0

3 years ago

Read 2 more answers

in a parking lot 60% of the cars are four-door cars.If there are 75 four-door cars in the parking lot how many cars are in the p

Genrish500 [490]

Answer:

there are 125 cars in the parking lot

Step-by-step explanation:

4 0

3 years ago

1.) Vivian combined different amounts of white paint, blue paint, and green paint to make 145 milliliters (ml) of paint of a new

Ivahew [28]

So here are the answers to the given questions above:
1. Since the equation is already given, what we are going to do is to solve for x first.
x + (2x – 10) + 1/2 (2x – 10) = 145
x + (2x -10) + x - 5 = 145
x + 2x + x - 10 - 5 = 145
4x = 145 +10 + 5
4x = 160 <<divide both sides by 4 and we get
x = 40.
Therefore, the amount of white paint is 40ml.
The amount of blue paint is 70ml and the green paint is 35ml.
So the difference between the amounts of white paint and blue paint Vivian combined is 30ml.
2. The equation of the line that passes through the points (-2, 1) and (1, 10) would be: 3x - y = -7, the last option. In order to check, just plug in the given ordered pairs.

3 0

3 years ago

Paul's car will go 49 kilometers on 7 tanks. Paul wants to know how fuel efficient the car is. Please help by computing the rati

alisha [4.7K]

Answer:

7 : 1

Step-by-step explanation:

Paul's car goes 40 kilometers on 7 tanks.

Distance : Tanks

49 : 7

Fuel efficiency means the distance traveled by the car in one tank.

Therefore, we will reduce the ratio by dividing both sides by 7.

Distance : Tanks

$\frac{49}{7}$ : $\frac{7}{7}$

7 : 1

Therefore, car's fuel efficiency is 7 kilometers in one tank or the ratio between Distance traveled and fuel tanks is 7 : 1.

8 0

3 years ago