All categories

4 years ago

Solve the equation and write the solution set. Show all work |4x-8|-3x=6x+2

Mathematics

1 answer:

IrinaK [193]4 years ago

3 0

It's super simple if you work hard and pay attention to the variables there

You might be interested in

An investment of $100 is now valued at $149.18 the interest rate is 8% compounded continuously about how long has the money been

deff fn [24]

question: An investment of $100 is now valued at $149.18 the interest rate is 8% per year, compounded continuously about how long has the money been invested

Answer:

5.2 years

Step-by-step explanation:

Applying

A = P(1+R/100)ⁿ.......................... Equation 1

Where A = amount, P = principle, R = rate, n = time.

From the question,

Given: A = $149.18, P = $100, R = 8%

Substitute these values into equation 1 and solve for n

149.18 = 100(1+8/100)ⁿ

149.18/100 = (1+8/100)ⁿ

1.4918 = (1+0.08)ⁿ

1.4918 = (1.08)ⁿ

Taking the Logarithm of both side

Log(1.4918) = Log(1.08)ⁿ

Log(1.4918) = nLog(1.08)

n = Log(1.4918)/Log(1.08)

n = 0.1737/0.0334

n = 5.2 years.

7 0

3 years ago

What is the length of the hypotenuse? If necessary, round to the nearest tenth.

Papessa [141]

Answer:

The value of c is 2√2 or about 2.8.

Step-by-step explanation:

We can find the hypotenuse (c) with the help of Pythagoras Theorem.

=> c² = 2² + 2²
=> c² = 4 + 4
=> c² = 8
=> c = √8
=> c = √2 x 2 x 2
=> c = 2√2

If you want further simplification, seek for explanation below.

=> c = 2√2
=> c = 2 x √2
=> c = 2 x 1.414
=> c = 2.828 = 2.8 (Estimated)

Hence, the value of c is 2√2 or about 2.8.

Hoped this helped.

$BrainiacUser1357$

6 0

2 years ago

20 points and crown determine the product of each set of polynomials (2x-3)(4x+5)=0

bonufazy [111]

Remember to make the polynomials to equal zero, one or the other polynomial must equal zero. So...

2x-3 = 0

2x= 3

x=3/2

and

4x+5 = 0

4x = -5

x = -5/4

So the answers are x=3/2 and x = -5/4

Hope this helps!

4 0

4 years ago

Read 2 more answers

The midpoint of AB is M(-2, 1). If the coordinates of A are (-3,-5),

mrs_skeptik [129]

Answer:

B= (-1, 7)

Step-by-step explanation:

Midpoint formula is X1 plus X2, then divided by 2. So, because the midpoint is given you work backwards. So for the x value do (-3 + x) divided by 2 equals -2 and solve for x and you do the same thing for the Y value

8 0

3 years ago

To arrive at its destination on time the bus should have maintained a speed of vv kilometers per hour throughout the journey. In

yulyashka [42]

Answer:

The answer to the question is

The actual duration of the trip is 8/9 times the normal duration or the bus arrived 1/9 times earlier than it would have at a constant speed of v kph

Step-by-step explanation:

Speed of bus in the first third distance = v kph

Speed of bus for the remaining two thirds = 1.2 v kph

To solve the question, we note that speed = distance/time

therefore time = distance/speed

Let the distance of the destination be D, then

Normal duration at speed v = D/v

Actual duration (D/3)÷v + (2D/3)÷(1.2v) ⇒ (1.2*D/3 + 2D/3)1.2v

= $\frac{D}{3v} +\frac{5D}{9v}$ = (8/9)×D/v

Therefore the actual duration is 8/9 times the normal duration

7 0

4 years ago