What is the solution set of the equation 3x2 = 48 ?

Write a formula for g(x) in terms of x.

liberstina [14]

The formula of g(x) is g(x) = -0.8x - 1.6

<h3>How to determine the formula of g(x)?</h3>

The equation is given as:

-4x - 6 = 5y + 2

Subtract 2 from both sides

5y = -4x - 8

Divide through by 5

y = -0.8x - 1.6

Express as a function

g(x) = -0.8x - 1.6

Hence, the formula of g(x) is g(x) = -0.8x - 1.6

Read more about linear functions at:

brainly.com/question/4025726

#SPJ1

3 0

1 year ago

I don’t know what to do on here it’s really hard and I need help for the answer

Alla [95]

Ok so our original fraction is:
$\frac{36 {x}^{12} }{6 {x}^{9} }$
To simplify this fraction, look for instances where the values on the top and bottom can be reduced:

For example, 36 over 6 is the same as 6 over 1, so we can simplify the fraction so it is:
$\frac{6 {x}^{12} }{ {x}^{9} }$
We can also eliminate the denominator by dividing the nominator by x^9 so:
$\frac{6 {x}^{12} }{ {x}^{9} } \div \frac{ {x}^{9} }{ {x}^{9} }$
$= 6 {x}^{3}$
And that is the simplified answer of the fraction

Hope this helped

5 0

3 years ago

A fence is 10 ft wide by 10 ft long. If posts are placed 2 feet apart how many posts are needed?

yuradex [85]

20

There are 10 feet of posts on each side. That means there are 40 feet of fencing in total. If you divide that by two (to represent posts being 2 feet apart) then you get 20. There are 20 posts needed.

6 0

3 years ago

10x + 5x – 3 = 2(2x – 1)

DiKsa [7]

Answer:

The answer is x = 1/11

Step-by-step explanation:

hope this helps

10x + 5x – 3 = 2(2x – 1)

10x+5x-3=4x-2

15x-4x=-2+3

11x=1

To find x divide both sides by 11

11x/11=1/11

x= 1/11

8 0

3 years ago

Read 2 more answers

Two lighthouses are located 75 miles from one another on a north-south line. If a boat is spotted S 40o E from the northern ligh

yuradex [85]

Answer:

The northern lighthouse is approximately $24.4\; \rm mi$ closer to the boat than the southern lighthouse.

Step-by-step explanation:

Refer to the diagram attached. Denote the northern lighthouse as $\rm N$ , the southern lighthouse as $\rm S$ , and the boat as $\rm B$ . These three points would form a triangle.

It is given that two of the angles of this triangle measure $40^{\circ}$ (northern lighthouse, $\angle {\rm N}$ ) and $21^{\circ}$ (southern lighthouse $\angle {\rm S}$ ), respectively. The three angles of any triangle add up to $180^{\circ}$ . Therefore, the third angle of this triangle would measure $180^{\circ} - (40^{\circ} + 21^{\circ}) = 119^{\circ}$ (boat $\angle {\rm B}$ .)

It is also given that the length between the two lighthouses (length of $\rm NS$ ) is $75\; \rm mi$ .

By the law of sine, the length of a side in a given triangle would be proportional to the angle opposite to that side. For example, in the triangle in this question, $\angle {\rm B}$ is opposite to side $\rm NS$ , whereas $\angle {\rm S}$ is opposite to side ${\rm NB}$ . Therefore:

$\begin{aligned} \frac{\text{length of NS}}{\sin(\angle {\rm B})} = \frac{\text{length of NB}}{\sin(\angle {\rm S})} \end{aligned}$ .

Substitute in the known measurements:

$\begin{aligned} \frac{75\; \rm mi}{\sin(119^{\circ})} = \frac{\text{length of NB}}{\sin(21^{\circ})} \end{aligned}$ .

Rearrange and solve for the length of $\rm NB$ :

$\begin{aligned} & \text{length of NB} \\ =\; & (75\; \rm mi) \times \frac{\sin(21^{\circ})}{\sin(119^{\circ})} \\ \approx\; & 30.73\; \rm mi\end{aligned}$ .

(Round to at least one more decimal places than the values in the choices.)

Likewise, with $\angle {\rm N}$ is opposite to side ${\rm SB}$ , the following would also hold:

$\begin{aligned} \frac{\text{length of NS}}{\sin(\angle {\rm B})} = \frac{\text{length of SB}}{\sin(\angle {\rm N})} \end{aligned}$ .

$\begin{aligned} \frac{75\; \rm mi}{\sin(119^{\circ})} = \frac{\text{length of SB}}{\sin(40^{\circ})} \end{aligned}$ .

$\begin{aligned} & \text{length of SB} \\ =\; & (75\; \rm mi) \times \frac{\sin(40^{\circ})}{\sin(119^{\circ})} \\ \approx\; & 55.12\; \rm mi\end{aligned}$ .

In other words, the distance between the northern lighthouse and the boat is approximately $30.73\; \rm mi$ , whereas the distance between the southern lighthouse and the boat is approximately $55.12\; \rm mi$ . Hence the conclusion.

4 0

3 years ago

What is the solution set of the equation 3x2 = 48 ?​

What is the solution set of the equation 3x2 = 48 ?