Write the polynomial you created in factored form.

Answer:

i. x² + 7x - 16800 = 0 ii. x = 126.16 km/h or -133.16 km/h iii. 5.01 h

Step-by-step explanation:

i. If he drove at an average speed of x km/h on his journey from City P to City Q formulate an equation in x and show that it reduces to x2 + 7x – 16 800 = 0.

For the first journey from City P to City Q, with Mr Lee moving at an average speed of x km/h, he reaches there in time, t and covers the distance, d = 600 km

So, xt = 600 (1)

On his return journey from City Q to CIty P, his average speed increases by 7 km/h, so it is (x + 7)km/h and his time is 15 minutes less than his first journey. 15 min = 15/60 h = 0.25 h, we have that his time for the journey is (t - 0.25) h. Since the distance covered is the same d = 600 km,

We have (x + 7)(t - 0.25) = 600  (2)

Expanding the brackets, we have

xt - 0.25x + 7t - 0.25(7) = 600

xt - 0.25x + 7t - 1.75 = 600

From (1) t = 600/x and xt = 600

Substituting these into the equation, we have

600 - 0.25x + 7(600/x) - 1.75 = 600

simplifying

-0.25x + 4200/x - 1.75 = 600 - 600

-0.25x + 4200/x - 1.75 = 0

multiplying through by x, we have

-0.25x² + 4200 - 1.75x = 0

dividing through by -0.25, we have

-0.25x²/-0.25 + 4200/-0.25 - 1.75x/-0.25 = 0

x² - 16800 + 7x = 0

re-arranging, we have

x² + 7x - 16800 = 0

ii. Solve the equation x² + 7x - 16 800 = 0, giving both your answers correct to  2 decimal places.

Using the quadratic formula, we solve x² + 7x - 16800 = 0 for x

So, [tex]x = \frac{-7 +/-\sqrt{7^{2} - 4 X 1 X -16800} }{2 X 1}\\x = \frac{-7 +/-\sqrt{49 + 67200} }{2} \\x = \frac{-7 +/-\sqrt{67249} }{2} \\x = \frac{-7 +/- 259.32}{2} \\x = \frac{-7 + 259.32}{2} or x = \frac{-7 - 259.32}{2} \\x = 252.32/2 or x= -266.32/2\\x = 126.16 km/hor x = -133.16 km/h[/tex]

So, x = 126.16 km/h or -133.16 km/h

iii. Find the time taken for the return journey

The time taken for the return journey is t' = t + 0.25. Now. t = 600/x

Since x cannot be negative, we use x = 126.16 km/h.

So, t = 600/x = 600/126.16 = 4.76 h

t' = t + 0.25

t' = 4.76 + 0.25

t' = 5.01 h

Answer:

there are millions of video games, ranging from all different prices, so it all depends on what game.

Step-by-step explanation:

Answer: The answer should be [tex]\frac{1}{6}[/tex] because that is the probability of that spinner

Step-by-step explanation:

Answer:

35 years

Step-by-step explanation:

Given that:

Current deer population, P0 = 800

Growth rate = 20% yearly

For the population to double in size, P = 2 * P0 = 2 * 800 = 1600

t = number of years

Using the relation :

P =P0(1 + r)^t

1600 = 800(1 + 0.2)^t

1600 / 800 = (1.02)^t

2 = (1.02)^t

t = log2 / log(1.02)

t = (0.3010299 / 0.0086001)

t = 35.003069

t = 35 years

Answer:

3.8

Step-by-step explanation:

Answer:

I don't know but, try your hardest you can do it! I know you can!

Answer:

for 12% it would be $3,000

And, for 6% it would be $2,000

Step-by-step explanation:

The computation of the amount invested at each rate is shown below:

Let us assume the amount invested at 12% be x

So, the $5,000 - x be invested at 6%

The total interest earned is $480

So the equation would be

0.12x + 0.06($5,000 - x)  = $480

0.12x + $300 - 0.06x = $480

0.06x = $80

x = $3,000

So for 12% it would be $3,000

And, for 6% it would be $2,000

Answer:

$18,630

Step-by-step explanation:

The cost of every college is expected to increase 3.5% next year.

The cost to attend Westish College is currently $18000.

What is the expected cost to attend Westish College next year?

The increase in the cost for next year is calculated as:

3.5 % × Current cost

= 3.5% × $18,000

= $630.

The expected cost to attend Westish college next year=

$18,000 + $630

= $18,630

Answer:

The answer is b can i have brainliest

Step-by-step explanation:

Answer:

it's b :)

Step-by-step explanation:

Answer:

42.9m but im not really sure about it and I can't explain exactly how I did it because I'm german and my english is not that good.

Answer:

3 : 4

18 : 24

I hope it helps

Answer:

$567.07

Step-by-step explanation:

Given that :

Purchase price = $200,000

Number of years = 30

Rate = 5.875%

Down payment = 10%

Hence, mortgage amount :

Purchase price - down payment

200,000 - (0.1 * 200000)

200,000 - 20,000

= $180,000

Using a mortgage calculator :

Mortgage amount = 180,000

Mortgage term = 30 years

Interest = 5.875%

Monthly payment will be : $1067.07

Hence, if she only wants to $500 from her own money, A rent of ($1067.07 - $500) = $567.07 will need to be charged

Answer:

B.........................

Answer:

36 because 2 x 3 = 6 and 6 x 6 = 36

Step-by-step explanation:

The answer is D

Answer:

B. 1m/s es la respuesta correcta

Answer:

X=-8

Step-by-step explanation:

18+x=10

-18 -18

x=-8

Answer:

Step-by-step explanation:

1/4 ,  1/10   2/3      2/5

Answer:

THE ANS IS X=1

Step-by-step explanation:

X/4=13/52

BY CROSS MULTIPLY, WE GET

52X=4 into 13

52X=52

BY CUTTING,WE GET

X=1

THANKS AND MARKS AS BRAINLY

Answer:

50

Step-by-step explanation:

Answer:

Variable Expression; Numeric Expression. A numeric expression consists of numbers and operations, but never include any variable. Some of the examples of numeric expressions are 10 + 5, 15 ÷ 2, etc. Variable Expression. A variable expression is an expression which contains variables along with numbers and operation to define an expression.

Step-by-step explanation:

Variable Expression; Numeric Expression.

An expression is a number, a variable, or a combination of numbers and variables and operation symbols.

Variable Expression; Numeric Expression. A numeric expression consists of numbers and operations, but never includes any variable. Some of the examples of numeric expressions are 10 + 5, 15 ÷ 2, etc. Variable Expression. A variable expression is an expression that contains variables along with numbers and operations to define an expression.

Learn more about Expressions:

https://brainly.com/question/1280754

#SPJ2

Answer:

18.4

Step-by-step explanation:

9.2 + 9.2 = 18.4

Answer:

Step-by-step explanation:

[tex]-\frac{1}{3}y - \frac{1}{3} x[/tex]

Answer:

$325

Step-by-step explanation:

Let  the dryer be x and the washer be y

x+y= 711---------1

y= x+61-----------2

put y= x+61 in 1

x+x+61= 711

2x+61= 711

2x= 711-61

2x=650

x= 650/2

x=325

Hence the dryer cost $325

Answer:

Step-by-step explanation:

0.1322 ≅ 0.13

Answer:

0.13

Step-by-step explanation:

First we need to find the given place value, which is the hundreds place.

0.1322

Next, we look at the next number over, which is two.

0.1322

0-4 stays the same. 5-9 round up one. Doing so, we keep the number three the same.

0.1300

get rid of the extras.

(not a Bakogou reference)

0.13

~Hope this helps~

1/6(x+6)=11

distribute

1/6x+1=11

-1 on both sides

1/6x=10

×6 on both sides

1x=60

x=60

Answer:

the sides are 46, 161, 138 respectively to sides 2, 7, 6

Step-by-step explanation:

2+7+6=15

345/15=23   this is our factor

2x23=46

7x23=161

6x23=138

Answer:

2x^2+7x+3

Step-by-step explanation:

(2x+1)(x+3)

2x^2+x+6x+3

2x^2+7x+3