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3 years ago

4a^-(6a-2) +(3) (a^-1).please solve this.the arrows that are pointing up is exponent 2.please show work

1 answer:

const2013 [10]3 years ago

6 0

I'm going to use "x" because the program lets me put in exponents.

4 $x^{2}$ -6x+2+3 $x^{2}$ -1
7 $x^{2}$ -6a-1
Then factor
(7x+1)(x-1)
Set each to 0 to solve for x
x-1=0 is x=1
7x+1=0
7x=-1
x= $\frac{-1}{7}$
So your answers are x=1 and x= $\frac{-1}{7}$

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20 yards 8 inches is divided into 26 equal sections, how long is each section

hoa [83]

In the given question, there are several information's of immense importance and worth taking a look. based on these information's, the answer to the question can be easily determined.The length that has to be divided into 26 equal parts is 20 yards and 8 inches.Firstly we have to change the yard into inches and then we can divide the total inches into 26 equal parts.
We know
1 yard = 36 inches
20 yards = 720 inches
Then the total length that has to be divided = (720 + 8) inches
= 728 inches
Now we have to divide the 728 inches into 26 equal parts.
Length of each section = (728/26) inches
= 28 inches.
So each of the 26 parts will have a length of 28 inches.

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3 years ago

What is the slop of the line represented by the equation y=-2/3-5x

jek_recluse [69]

The slope is -5x.

Explanation:

Rearrange the equation so it’s in y=mx+b format.

y=-5x-2/3

8 0

3 years ago

A triangular face of the roof of the garage has two sides

aleksklad [387]

Answer:

The roof does form a right triangle.

Step-by-step explanation:

If it is a right triangle then it will obey the Pythagoras Theorem.

Now (√186)^2 = (√93)^2 + (√93)^2

186 = 93 + 93 = 186

So it obeys the theorem and is therefore a right triangle.

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2 years ago

Factor −1/4 out of −1/2x−5/4y. The factored expression is .

Olegator [25]

Answer:

(-1/4)(2x +5y)

Step-by-step explanation:

Multiply and divide by -1/4:

$-\frac{1}{2}x-\frac{5}{4}y=\dfrac{(-\frac{1}{4})(-\frac{1}{2}x-\frac{5}{4}y)}{-\frac{1}{4}}=\left(-\dfrac{1}{4}\right)(-4)\left(-\dfrac{1}{2}x-\dfrac{5}{4}y\right)\\\\=\left(-\dfrac{1}{4}\right)\left(2x+5y)$

7 0

3 years ago

Yesterday morning, at 6:00 AM, water started leaking from a tank at a constant rate. The tank contained8,496liters of water at 6

GREYUIT [131]

A linear equation can be written as:

y = a*x + b

where a is the slope and b is the y-intercept.

If we know that the line passes through the points (x₁, y₁) and (x₂, y₂) the slope is:

$a = \frac{y_2 - y_1}{x_2 - x_1}$

The answers are:

a) y = (-12 L/min)*t + 9,000 L

b) 6,840 L

a) Here we know that we can model this situation with a linear equation, we know that the leak starts at 6:00 am, then we define t = 0 as 6:00 am

We know that at 6:42 am (at t = 42 mins) the tank has 8,496 liters.

And at 7:15 am (at t = 75 mins) the tank has 8,100 liters.

Then we have two points of the line:

(42 mins, 8,496 liters)

(75 mins, 8,100 liters)

Then the slope is:

$a = \frac{8,100 liters - 8,496 liters }{75 mins -42 mins } = -12 L/min$

So the line will be something like:

y = (-12 L/min)*t + b

To find the value of b, which is the initial volume of water in the tank, we use the point (75 mins, 8,100 liters)

This means that if t = 75 mins, then we have y = 8,100 L

So we can replace these two on the above equation:

8,100 L = (-12 L/min)*75 mins + b

8,100L = -900L + b

8,100L + 900L = b = 9,000 L

Then the linear equation is:

y = (-12 L/min)*t + 9,000 L

b) Now we want to know how much water is in the tank at 9:00 am.

Notice that 9:00 am is 3 hours after 6:00 am, our t = 0.

Then 9:00am is equivalent to t = 180 mins.

So to know the volume of water that there is in the tank at 9:00 am, we just need to evaluate the linear function at t = 180 mins.

y = (-12 L/min)*180 mins + 9,000 L = 6,840 L

If you want to learn more, you can read:

brainly.com/question/24594539

7 0

3 years ago