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3 years ago

3. A car and a bus are travelling towards each other. They are 510 km apart

Mathematics

1 answer:

Misha Larkins [42]3 years ago

5 0

Let the speed of the bus be x,

Distance = speed × time

(90+x) (16:20 –13:20) = 510

=> 3(90+x) = 510

=> 270 + 3x = 510

=> 3x = 510–270

=> x = 240/3

=> x = 80

Thus, the speed of the bus is 80km/hr.

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Evaluate 8 divided by 4 times (11-8+2)

luda_lava [24]

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By installing efficient water fixtures the average American can reduce water use to about 45 gallons of water per day.Using such

IceJOKER [234]

(45 gal/day) x (31 day/Dec) =

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The area of a rectangular painting is 5/8 square yard. The width is 3/4 yard. What is the length of the painting?

vfiekz [6]

Answer:

The answer is

<h2> $\frac{5}{6} \: \: \: \: yards \\$ </h2>

Step-by-step explanation:

Area of a rectangle = length × width

Since we are finding the length of the rectangle

$length = \frac{area}{width} \\$

From the question

area = 5/8 square yards

width = 3/4 yard

So we have

$length = \frac{5}{8} \div \frac{3}{4} \\ = \frac{5}{8} \times \frac{4}{3} \\ = \frac{5}{2} \times \frac{1}{3}$

We have the final answer as

$\frac{5}{6} \: \: \: \: yards \\$

Hope this helps you

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Louis borrowed money from his dad to buy a car. After 4 years, Louls finally repaid his dad for the cost of the car and an addit

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3 years ago

Finding a polynomial of a given degree with given zeros

galben [10]

Since f(x) is a polynomial with 3rd degree, then it will have 3 roots (zeroes)

One of them is real and the other two are complex conjugate roots

Since the real root is 4, then

x = 4

Since the complex root is (1 - i), then

The other root will be the conjugate of it (1 + i)

x = (1 - i)

x = (1 + i)

To find f(x) we will multiply the three factors of it

We can get the factors from the zeroes

$x=4$

Subtract 4 from both sides

$\begin{gathered} x-4=4-4 \\ x-4=0 \end{gathered}$

The first factor is (x - 4)

$\begin{gathered} x=1-i \\ x-(1-i)=(1-i)-(1-i) \\ x-1+i=0 \end{gathered}$

The second factor is (x - 1 + i)

The third factor is (x - 1 - i)

$f(x)=(x-4)(x-1+i)(x-1-i)$

We will multiply them to find f(x)

$\begin{gathered} (x-1+i)(x-1-i)= \\ x^2-x-ix-x+1+i+ix-i-(i^2)= \\ x^2-2x+1-(-1)= \\ x^2-2x+1+1= \\ x^2-2x+2 \end{gathered}$

Multiply it by (x - 4)

$\begin{gathered} f(x)=(x-4)(x^2-2x+2) \\ f(x)=x^3-2x^2+2x-4x^2+8x-8 \\ f(x)=x^3-6x^2+10x-8 \end{gathered}$

The answer is

$f(x)=x^3-6x^2+10x-8$

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1 year ago