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3 years ago

If a cubic polynomial has zeros at x= -4, x=0 and x=7, then

Mathematics

2 answers:

34kurt3 years ago

7 0

Answer:

Step-by-step explanation:

The Fundamental theorem of algebra tells us that a polynomial of degree n has n roots.

Here the polynomial is a cubic, that is of degree 3

Thus it will have 3 roots, real and/ or imaginary.

Since imaginary roots occur in conjugate pairs

Since the polynomial has 3 real roots there are no imaginary roots, thus

A is the required response.

maw [93]3 years ago

5 0

I think the answer ia A that what i think

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You are at a family reunion and the cooler contains ten bottles of soda; four Sprite, three Dr. Pepper, and three Cherry Coke. T

natita [175]

Answer:

Probability of getting Dr. Pepper the fourth time = $\frac{1}7$

Probability of getting a cherry coke the fifth time = $\frac{1}{3}$

Combined probability = $\frac{1}{21}$

Step-by-step explanation:

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

It is given that first time a Cherry coke is chosen and it is not replaced.

So, number of cherry coke left = 2

Dr. Pepper is chosen twice and is not replaced, so

Number of Dr. Pepper left = 3 - 2 = 1

Total number of soda left = 10 - 3 = 7

So, probability of getting Dr. Pepper the fourth time = $\frac{1}7$

Now, total number of soda left = 7 - 1 = 6

Probability of getting a cherry coke the fifth time = $\frac{2}{6} = \frac{1}{3}$

The combined probability = probability of getting Dr. Pepper the fourth time multiplied with Probability of getting a cherry coke the fifth time

$\Rightarrow \dfrac{1}7 \times \dfrac{1}{3} = \dfrac{1}{21}$

6 0

3 years ago

Data were collected on the amount spent by 64 customers for lunch at a major Houston restaurant. These data are contained in the

Ratling [72]

Answer:

Step-by-stFind the slope of the line that passes through the points shown in the table.

The slope of the line that passes through the points in the table is

.ep explanation:

7 0

3 years ago

2) Lucy spent $15, 500 to purchase a new car this year. Lucy can expect her car to depreciate at a rate of 7% per year.

Lelechka [254]

Answer:

Equation: V = C * (1 - r)^t

Answer: $ 8,066.37

Step-by-step explanation:

Let's recall that depreciation on a car can be determined by the formula:

V = C * (1 - r)^t , where:

V is the value of the car after t years,

C is the original cost

r is the rate of depreciation

t is the number of years of utilization of the car

Therefore, we have:

V = C * (1-r)^t

V = 15,500 * (1 - 0.07)⁹

V = 8,066.37 (rounding to the next cent)

5 0

3 years ago

The total current of a parallel circuit is 9+j2 amps and the current of one component of the circuit is 3−j5 amps. What is the c

stealth61 [152]

Apply law of total resistance in parallel circuit

$\\ \tt\hookrightarrow \dfrac{1}{R}=\dfrac{1}{R_1}+\dfrac{1}{R_2}$

$\\ \tt\hookrightarrow \dfrac{1}{9+2J}=\dfrac{1}{3-5j}+\dfrac{1}{R_2}$

$\\ \tt\hookrightarrow \dfrac{1}{R_2}=\dfrac{1}{9+2J}-\dfrac{1}{3-5J}$

$\\ \tt\hookrightarrow \dfrac{1}{R_2}=\dfrac{3-5J-9-2J}{(9+2J)(3-5J)}$

$\\ \tt\hookrightarrow R_2=\dfrac{(9+2J)(3-5J)}{-6-7J}$

4 0

2 years ago

Write the equation for the line that passes through the points (4, 5) and (6,9). *

N76 [4]

Answer:

y = 2x + 1

Step-by-step explanation:

first find slops

(9-5)/(6-4) = 4/2 = 2 = m

y = mx + b

5 = 2(2) + b

1 = b

y = 2x + 1

5 0

3 years ago

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