2^3x = 172
3x log 2 = log 172
3x = 7.4263
x = 2.475
i am a mathematics teacher. if anything to ask please pm me
Answer:
<u>x= 35 hot dogs</u>
<u>y= 52 soda</u>
Step-by-step explanation:
x= hot dogs
y= soda
Total sold
1 x + 1 y = 87 .............1
2 x 0.50 y = 78.50 .............2
Eliminate y
multiply (1)by -0.50
Multiply (2) by 1.00
-0.50 x -0.50 y = -43.50
2 x + 0.50 y = 78.50
Add the two equations
1 x = 35.00
/ 1
x = 35.00
plug value of x in (1)
1 x + 1 y = 87
35 + y = 87
y = 87 -35
y = 52
y = 52.00
x= 35 hot dogs
y= 52 soda
Answer:
Domain: (-infinity, infinity) Range: (-infinity, infinity)
Step-by-step explanation:
They are parabolas, therefore you can assume that they go on infinitely. To find range, you must look at your y values. Look for your lowest point. Because the line goes done forever, your beginning mark would be (-infinity.
To find the other part, you look at your positive y values. Look for the highest value. Because this goes on infinitely, the completed version of your notation would be (-infinity, infinity). Be sure to use the infinity symbol though, which looks like an 8 rotated 90 degrees.
To find domain, look at your x values. To begin, look at your left-most values, which would be the negative numbers. Because the line goes on forever to the left, your notation would be (-infinity. To find the other part of domain, look at your positive x values. Because this line goes on infinitely as well, the completed version of your notation would be (-infinity, infinity). Infinity is never bracketed, it is always in parenthesis.
Answer:
There is only one solution and the solution is (0,4).
Step-by-step explanation:
The given system has equations;
and
We equate the two equations to determine their point of intersection;
We put x=0 into the first equation to get;
There is only one solution and the solution is (0,4).
Answer:
See below
Step-by-step explanation:
<u>Given points:</u>
<u>Let's calculate it's equation:</u>
- y = mx +b
- m = (4 + 11)/(6 +3) = 15/9 = 5/3
- y = 5/3x + b
- -11 = 5/3*(-3) + b ⇒ b = -11 + 5 = -6
- y = 5/3x - 6
<u>The given line:</u>
Compared, the lines have different slope (5/3 vs 32) but same y- intercept (-6), so both pass through the point of (0, -6). y= 32x - 6 has greater rate of change.
