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3 years ago

A line is represented by the equation y/x-2=3/11. What are the coordinates of some points that line on the line?

Mathematics

1 answer:

Galina-37 [17]3 years ago

4 0

y/x-2=3/11 would be easier to work with if we were to put it into a more standard form, e. g., y = mx + b.

First, add 2 to both sides, to isolate y/x:

y/x = 3/11 + 22/11 = 25/11.

Next, mult. both sides by x, to get y by itself: y = (25/11)x.

This is your function.

Now make a table. You can choose any x values you want, and then calculate y for each one.

x y

0 0

1 25/11

3 (25/11)*3 = 75/11

Then we have three points on this line: (0,0), (1, 25/11), 3, 75/11). You could obtain more by choosing additional x values.

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What is the range of the equation

a_sh-v [17]

The range of the equation is $y>2$

Explanation:

The given equation is $y=2(4)^{x+3}+2$

We need to determine the range of the equation.

<u>Range:</u>

The range of the function is the set of all dependent y - values for which the function is well defined.

Let us simplify the equation.

Thus, we have;

$y=2 \cdot 4^{x+3}+2$

This can be written as $y=2^{1+2(x+3)}+2$

Now, we shall determine the range.

Let us interchange the variables x and y.

Thus, we have;

$x=2^{1+2(y+3)}+2$

Solving for y, we get;

$x-2=2^{1+2(y+3)}$

Applying the log rule, if f(x) = g(x) then $\ln (f(x))=\ln (g(x))$ , then, we get;

$\ln \left(2^{1+2(y+3)}\right)=\ln (x-2)$

Simplifying, we get;

$(1+2(y+3)) \ln (2)=\ln (x-2)$

Dividing both sides by $\ln (2)$ , we have;

$2 y+7=\frac{\ln (x-2)}{\ln (2)}$

Subtracting 7 from both sides of the equation, we have;

$2 y=\frac{\ln (x-2)}{\ln (2)}-7$

Dividing both sides by 2, we get;

$y=\frac{\ln (x-2)-7 \ln (2)}{2 \ln (2)}$

Let us find the positive values for logs.

Thus, we have,;

$x-2>0$

$x>2$

The function domain is $x>2$

By combining the intervals, the range becomes $y>2$

Hence, the range of the equation is $y>2$

7 0

3 years ago

Ed buys a vase for £24 and adds 25% onto the price before putting it into his shop window.

hoa [83]

The price-tag say 30 £

6 0

3 years ago

What’s the reciprocal of 5 4/9

stealth61 [152]

Answer:

9/49

Step-by-step explanation:

5 4/9 =49/9 and49/9*9/49=1 then reciprocal of 49/9 is9/49

5 0

2 years ago

Will mark YOU brainliest!!

Akimi4 [234]

Answer: 15 miles per gallon

Step-by-step explanation:

135 divided by 9

5 0

2 years ago

Read 2 more answers

Pls help me ASAP show work please

wariber [46]

Answer:

$3.48 for each pair of socks.

Step-by-step explanation:

It's a little confusing, because it says they're buying 2 socks, but then asks for the price of each of 2 *pairs* of socks. I'm going to believe the first sentence should say they paid for 2 pairs of socks.

They have $10, and get $3.04 in change. So we'll subtract $3.04 from $10 to find out the cost of 2 pairs of socks.

10 - 3.04 = 6.96

Then divide $6.96 by 2 pairs of socks

6.96/2 = $3.48 for each pair of socks.

8 0

3 years ago