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3 years ago

Subtract (4x^2 - x+6 from (3x^2+5x-8 ) ?

Mathematics

1 answer:

Genrish500 [490]3 years ago

4 0

Answer:

-x^2+6x+2

Step-by-step explanation:

1. Calculate

3x^2+5x-8-4x^2+x-6 = -x^2+6x+2

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Two cyclists leave city at same time, one going east and the other going west. The westbound cyclist bikes 3 mph faster than the

Bumek [7]

Speed of the east bound cyclist is 12 mph and the speed of west bound cyclist is 15 mph.

<u>Solution:</u>

Let us assume that x is speed of slower eastbound cyclist

So, x+3 will be the speed of faster westbound cyclist

We know that distance is the product of speed and time. That is,

$\text{Distance}=\text{Speed}\times\text{Time}$

West-bound DATA:

Rate of speed = x+3 mph ; Time = 6 hrs ; distance = 6(x+3) = 6x+18 miles

East-bound DATA:

Rate of speed = x mph ; time = 6 hrs. ; distance = 6x miles

On solving,

Distance apart = 162

$\Rightarrow6x+18+6x = 162$

$\Rightarrow12x=162-18$

$\Rightarrow x=\frac{144}{12}\rightarrow x=12$

So, the rate of speed of the east bound cyclist is 12 mph and the rate of speed of the west bound cyclist will be $x+3=12+3=15 \text{ mph}$

8 0

3 years ago

Initial Knowledge Check

kenny6666 [7]

Answer:

The volume of tank to the nearest cube is 503 ft³

Step-by-step explanation:

Given that,

Diameter of tank = 8 ft

radius = 4 ft

Height = 10 ft

We need to calculate the volume of tank

Using formula of volume

$V= \pi r^2h$

Where, r = radius

h = height

Put the value into the formula

$V=\pi\times4^2\times10$

$V=502.6\ ft^{3}$

$V=503\ ft^{3}$

Hence, The volume of tank to the nearest cube is 503 ft³

4 0

3 years ago

What is 13/19 as a decimal rounded to the nearest hundredth

STatiana [176]

Answer:

0.68421052

then rounded its 0.68

Step-by-step explanation:

Find the number in the hundredth place

and look one place to the right for the rounding digit

. Round up if this number is greater than or equal to

and round down if it is less than

0.68

can iplease lz have brainliest :0

7 0

3 years ago

Read 2 more answers

What does this equation mean? Y=mx+b<br> Please help me

denpristay [2]

Answer:(when the equation is written as y=mx+b) the slope is the number m that is multiplied on the x, and the b is the y intercept that the point where the line crosses the vertical y-axis

Step-by-step explanation:y=mx+b

=(-3)x+(12)

y=-3x+12

4 0

4 years ago

You have 2 different savings accounts. For Account A, the simple interest earned after 21 months is $13.65. For Account B, th

Rama09 [41]

Answer:

Step-by-step explanation:

The formula for simple interest is expressed as

I = PRT/100

Where

P = principal

T = time in years

R = interest rate on the principal.

For account A, the simple interest earned after 21 months is $13.65. The interest rate is 3.9% for Account A

Let y represent the principal for account B. Therefore

P = x

I = $13.65

T = 21/12 = 1.75 years

R = 3.9

Therefore

13.65 = (x × 3.9 × 1.75)/100

1365 = 6.825x

x = 1365/6.825 = $200

For account B, the simple interest earned after 30 months is $40.25. The interest rate is 2.3% for Account B

Let x represent the principal for account A. Therefore

P = y

I = $40.25

T = 30/12 = 2.5 years

R = 2.3

Therefore

40.25 = (y × 2.3 × 2.5)/100

4025 = 5.75y

y = 4025/5.75 = $700

The principal for account A is $200

The principal for account B is $700

For account A, interest earned in the first month is

13.65/21 = $0.65

For account B, interest earned in the first month is

40.25/30= $1.34

Account B earned the most interest in the first month(the same interest is earned every month)

3 0

4 years ago