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3 years ago

Solve the equation and show all of your steps! 8 + 3x = 14

Mathematics

2 answers:

VLD [36.1K]3 years ago

7 0

Answer:

x=2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

murzikaleks [220]3 years ago

4 0

Answer:

Step-by-step explanation:

This is a linear equation, and we will need to get the variable by itself.

Let's calculate!

$8+3x=14\\3x=14-8\\3x=6$

Now we divide both sides by 3. Dividing 3 by 3 is just 1, and we don't need to write the 1, and 6 divided by 3 is two! So your equation will look like this:

$3/3x = 6/3\\x=2\\$

Hope that helps! :)

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What is the equation of the line showed in this graph?

Irina-Kira [14]

Answer:

y=1

Step-by-step explanation

3 0

3 years ago

Jacob wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence

Citrus2011 [14]

Jacob wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn,so he needs no fence on that side.

Let w be the width of the enclosure (perpendicular to the barn) and let l be the length of the enclosure (parallel to the barn).

one side of the length is not counted for perimeter because one side of length will be against the barn.

Perimeter = 400 ft

Perimeter of rectangle = L + W + W

400 = L + 2W

L = 400 - 2W

Area = L * W

Replace L by 400 - 2W

A(W) = (400 - 2W) * W

$A(W) = -2W^2 + 400W$

Now we find out x coordinate of vertex to find the width that maximize the area

$W = \frac{-b}{2a}$

a= -2 and b = 400

$W = \frac{-(400)}{2(-2)}=100$

The width w would maximize the area is w = 100ft

To find maximum area we plug in 100 for W in A(W)

$A(W) = -2W^2 + 400W$

$A(W) = -2(100)^2 + 400(100)= 20000$

the maximum area is 20,000 square feet

6 0

3 years ago

3 raise to power x equal to -3

cluponka [151]

3 ^x = -3

then, x would be -1

6 0

2 years ago

Gabriel invested $900 in an account paying an interest rate of 3 1/4 % compounded daily. Daniel invested $900 in an account payi

Helen [10]

Answer:

$40

Step-by-step explanation:

The earnings of Gabriel can be calculated with the formula:

P = Po * (1 + r/n)^(nt)

Where P = 900, r = 0.0325, n = 365 and t = 19

So we have:

P = 900 * (1 + 0.0325/365)^(365*19) = $1,668.81

The earnings of Daniel can be calculated with the formula:

P = Po * e^(rt)

Where Po = 900, r = 0.03375 and t = 19

So we have:

P = 900 * e^(0.03375*19) = $1,708.97

So the amount that Daniel will have more than Gabriel is:

1708.97 - 1668.81 = $40.16

Rounding to nearest dollar, the difference is $40

3 0

2 years ago

Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1

Digiron [165]

Answer:

$P(z$

And the best option would be:

$0.8708$

Step-by-step explanation:

We assume that the distribution for the random variable is:

$X \sim N (\mu=0 , \sigma=1)$

For this case we want to calculate the following probability:

$P(z$

And we can use the normal standard distribution or excel and we got:

$P(z$

And the best option would be:

$0.8708$

8 0

3 years ago