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alexdok [17]
3 years ago
5

How do you do this question

Mathematics
1 answer:
ella [17]3 years ago
5 0

Answer:


Step-by-step explanation:


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Write an equation for a direct variation that includes the point (3, 18)
erma4kov [3.2K]
Direct variation means that the line goes through the origin of the graph, so you know that the line must go through point (0,0). Using that along with the given point, you can find the slope of the line.

m = \frac{y_2 - y_1}{x_2 - x_1}
m = \frac{18 - 0}{3 - 0}
m = \frac{18}{3}
m = 6

Now that you know the slope of the line you are looking for is 6, you can plug that into a point-slope form equation and find the equation of your line.

y - y_1 = m (x - x_1)   Plug in either set of coordinate. I chose (3, 18).
  y - 18 = 6 (x - 3)        Use he Distributive Property
  y - 18 = 6x - 18         Add 18 to both sides
        y = 6x

The equation of a direct variation line that includes the point (3, 18) is y = 6x.
  
3 0
3 years ago
Question 9 (1 point)
Likurg_2 [28]

Answer:

A piece of Jewelry costs $4.5 and a hair accessory costs $1.5.

Step-by-step explanation:

Let the price of a piece of jewelry is $x and that of a piece of hair accessories is $y.

So, from the given conditions we can write two different equations as

5x + 8y = 34.5 ............ (1) and

2x + 16y = 33 ............... (2)

Now, solving the equations (1) and (2) we get

2x + 2(34.5 - 5x) = 33

⇒ 8x = 36

⇒ x = $4.5

Again, from the equation (2) we can write

2(4.5) + 16y = 33

⇒ 16y = 24

⇒ y = $1.5

Therefore, a piece of Jewelry costs $4.5 and a hair accessory costs $1.5. (Answer)

6 0
3 years ago
expression to approximate log a of x for all positive numbers a, b, and x, where a is not equal to 1 and b is not equal to one
amid [387]

Question:

Approximate log base b of x, log_b(x).

Of course x can't be negative, and b > 1.


Answer:

f(x) = (-1/x + 1) / (-1/b + 1)


Step-by-step explanation:

log(1) is zero for any base.

log is strictly increasing.

log_b(b) = 1

As x descends to zero, log(x) diverges to -infinity


Graph of f(x) = (-1/x + 1)/a is reminiscent of log(x), with f(1) = 0.


Find a such that f(b) = 1

1 = f(b) = (-1/b + 1)/a

a = (-1/b + 1)


Substitute for a:

f(x) = (-1/x + 1) / (-1/b + 1)

f(1) = 0

f(b) = (-1/b + 1) / (-1/b + 1) = 1




7 0
3 years ago
How many tens are in 192
posledela

19 tens are in 192 if you multiply 19 by 10 you will get 190 so the answer is 192 hope this helped brainly plz if correct

3 0
4 years ago
Read 2 more answers
A sealed rectangular container 4cm by 8cm by 16 cm is sitting on a its smallest face. In this position the water levels are 4 cm
topjm [15]

Answer:

gvtvc

Step-by-step explanation:

4 0
3 years ago
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