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2 years ago

Solve the polynomial: 2x³-11x²+18x-8=0

Mathematics

1 answer:

kotykmax [81]2 years ago

7 0

Answer:

2/0.74

Step-by-step explanation:

To solve the polynomial, factorize it.

2x³-11x²+18x-8=0

After factorizing:

(x-2)(2x^2 - 7x +4) = 0

now, solve each bracket one by one:

x-2 = 0

x = 2

Then

2x^2 - 7x + 4 = 0

use quadratic formula t get 0.74

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A sales manager collected data on annual sales for new customer accounts and the number of years of experience for a sample of 1

Nadya [2.5K]

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Years of experience (X) :

Annual sales (Y) :

105

106

122

120

113

134

The estimated regression equation obtained is :

y = b0 + b1x

b0 = 82.82967

b1 = 3.46061

ŷ = 3.46061X + 82.82967

The change in annual sales for every year of experience is given by the slope value, b1 = 3.46061 = 3.5 (1 decimal place)

The Coefficient of determination R² = 0.8477 = 0.848 ( 3 decimal place).

The Coefficient of determination gives the proportion of explained variance.

About 84.8% percent variation in annual sales can be explained by years of experience of the sales person.

Using the regression equation :

ŷ = 3.46061X + 82.82967

Years of experience, x = 8

ŷ = 3.46061(8) + 82.82967 = 110.514

111 = (to the nearest whole number)

4 0

2 years ago

1. A school store sells pencils and erasers before school opens each day. On Monday, 13 pencils and

JulsSmile [24]

Answer:

price of pencil is 0.74 and eraser is 0.72$

Step-by-step explanation:

Let, "p" represent pencils

and "e" represents erasers.

hence, according to question

13p+10e=16.75 ________(1)

and 25p+2e=19.85________(2)

Multiplying equation (2) by 5,

hence, 125p+10e=99.25________(3)

Substracting equation (3) and (1)

125p+10e-(13p+10e)=99.25-16.75

hence, 112p=82.5

p=0.74

substituting the value in equation (1),

13(0.74)+10e=16.75

9.57+10e=16.75

on solving,

e=0.72

hence, price of one pencil is 0.75$, and price of one eraser is $0.72

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2 years ago

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mamaluj [8]

Simplify both to 1/2 because both numerators are half of their denominators. Then multiply straight across to 1/4.

4 0

2 years ago

For every 140 feet that Kelly rides on her bicycle, the wheels turn 20 times. About how many times do the wheels turn in 5 miles

Mars2501 [29]

Answer: The wheels turn about 3771 times in 5 miles.

Step-by-step explanation:

Given, Kelly rides on her bicycle such that the number of times wheels turn for every 140 feet = 20

Turns for every feet = $\dfrac{20}{140}=\dfrac{1}{7}$ ...(i)

To find : Number of times wheels turn in 5 miles.

Since , 1 mile = 5,280 feet

Then, 5 miles = 5 x (5,280 feet) = 26,400 feet

Now , Number of times the wheels turn in 26,400 feet = 26400 x (Turns for every feet)

$26400\times\dfrac{1}{7}=3771.42857143\approx3771$ [From (i)

Hence, the wheels turn about 3771 times in 5 miles.

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2 years ago

Find s8 for the following geometric sequence: 3, – 6, 12, – 24.

Alekssandra [29.7K]

Answer:

B. -255

Step-by-step explanation:

This picture is from the user of: DBlaze.

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2 years ago