All categories

2 months ago

Solve a = 2x + 6xz for X

Mathematics

2 answers:

AnnZ [12.3K]2 months ago

8 0

Response:

Refer below.

Step-by-step breakdown:

We start with the equation:

$a=2x+6xz$

On the right side, factor out an x:

$a=x(2+6z)$

Now, divide both sides by (2+6z) to simplify:

$x=\frac{a}{2+6z}$

And that concludes the process!

babunello [11.8K]2 months ago

4 0

Response:

x=a/2(1+3z)

Detailed explanation:

Part 1

The equation presented indicates that four times some number added to three times a larger number equals 31.

This translates to:

4x + 3y = 31

From here, solving for y yields:

4x + 3y=31 ⇒ 3y= -4x+31 ⇒ y= (-4x+31)/3 = - 4/3x + 31/3

⇒ y= - 4/3x + 31/3

This indicates the correct response for this scenario:

y = negative four-thirds x + StartFraction 31 Over 3 EndFraction

Part 2

The statement that seven subtracted from the larger number equals twice the smaller number translates to:

y-7= 2x

Further, solving for y yields:y-7= 2x ⇒

y= 2x+ 7

The correct answer for this equation is:

y = 2 x + 7

4 0

1 month ago

Ana drew a map of the Panama Canal. In the scale Ana used for the map, 4 centimeters represents 20 kilometers. The actual length

lawyer [12517]

Answer:

According to the map, the length of the canal is 16.4 centimeters.

Step-by-step explanation:

If the real length of Panama Canal = 20 kilometers

and the canal's length on the map = 4 centimeters

Then, the scale factor is $\frac{\text{Length of canal on map}}{\text{Actual length of canal}}$

= $\frac{4}{20}$

= $\frac{1}{5}$

If the actual length of the Panama Canal = 82 kilometers

The length of the canal on the map = Actual length × Scale factor

= $82\times \frac{1}{5}$

= 16.4 centimeters

So, the canal's length on the map is 16.4 centimeters.

4 0

27 days ago

How does the graph of g (x) = StartFraction 1 Over x + 4 EndFraction minus 6 compare to the graph of the parent function f (x) =

lawyer [12517]

The adjusted equation $g(x)=\frac{1}{x+4}-6$ , indicating that the graph has been altered 4 units leftward and 6 units downward.

Clarification:

The parent equation is $f(x)=\frac{1}{x}$ .

The transformed equation is $g(x)=\frac{1}{x+4}-6$ .

Applying the function transformation rules, it's clear that the parent function $f(x)=\frac{1}{x}$ has been modified into the function $g(x)=\frac{1}{x+4}-6$ .

According to the function transformation rules,

$f(x+b)$ indicates shifting the function b units to the left.

Thus, the transformed function reflects a shift 4 units to the left.

Additionally, from the function transformation rules, we understand that,

$f(x)-b$ indicates shifting the function b units downward.

Consequently, the transformed function mirrors a shift of 6 units downward.

In summary, the adjusted equation $g(x)=\frac{1}{x+4}-6$ , shows the graph shifted 4 units to the left and 6 units downward.

6 0

2 months ago

Read 2 more answers

If g(x)=4x^2-16 were shifted 5 units to the right and 2 down, what would the new equation be?

lawyer [12517]

Try this method:
When a graph shifts right, replace 'x' with 'x' minus the number.
When it shifts down, subtract the number from 'y'.
So the final equation becomes: y = 4(x - 5)² - 18.
The answer is A.

4 0

2 months ago

Read 2 more answers

Yoku is putting on sunscreen. He uses 2\text{ ml}2 ml2, start text, space, m, l, end text to cover 50\text{ cm}^250 cm 2 50, sta

AnnZ [12381]

Answer:

13 Millilitres.

Step-by-step explanation:

Yoku applies 2ml to cover $50cm^2$ of his skin.