Answer:
Total profit is 26,900.
Explanation
If the profit for selling a heater is 1300 than the profit of selling 25 heaters is 32500.
If the loss of selling a fan is 800 than the loss of selling 7 fan is 5600.
Minus 32500 with 5600 to get the profit.
26,900
There 7 blocks of hundreds which means each such block is equivalent to 100.
There are 5 blocks of tens, which means each such block is equivalent to 10.
There are 8 blocks of ones, which means each such block is equivalent to 1.
The total of these blocks will be = 7(100) + 5(10) + 8(10) = 758
We can make several two 3-digit numbers from these blocks. An example is listed below:
Example:
Using 3 hundred block, 2 tens blocks and 4 ones block to make one number and remaining blocks to make the other number. The remaining blocks will be 4 hundred blocks, 3 tens blocks and 4 ones blocks
The two numbers we will make in this case are:
1st number = 3(100) + 2(10) + 4(1) = 324
2nd number = 4(100) + 3(10) + 4(1) = 434
The sum of these two numbers is = 324 + 434 = 758
i.e. equal to the original sum of all blocks.
This way changing the number of blocks in each place value, different 3 digit numbers can be generated.
Answer:
2 solutions
Step-by-step explanation:
I like to use a graphing calculator to find solutions for equations like these. The two solutions are ...
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To solve this algebraically, it is convenient to subtract 2x-7 from both sides of the equation:
3x(x -4) +5 -x -(2x -7) = 0
3x^2 -12x +5 -x -2x +7 = 0 . . . . . eliminate parentheses
3x^2 -15x +12 = 0 . . . . . . . . . . . . collect terms
3(x -1)(x -4) = 0 . . . . . . . . . . . . . . . factor
The values of x that make these factors zero are x=1 and x=4. These are the solutions to the equation. There are two solutions.
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<em>Alternate method</em>
Once you get to the quadratic form, you can find the number of solutions without actually finding the solutions. The discriminant is ...
d = b^2 -4ac . . . . where a, b, c are the coefficients in the form ax^2+bx+c
d = (-15)^2 -4(3)(12) = 225 -144 = 81
This positive value means the equation has 2 real solutions.
I'm assuming the given log equation is ![\log_{\text{x}}(49) = \text{x}](https://tex.z-dn.net/?f=%5Clog_%7B%5Ctext%7Bx%7D%7D%2849%29%20%3D%20%5Ctext%7Bx%7D)
If so, then the exponential form is ![\text{x}^{\text{x}} = 49](https://tex.z-dn.net/?f=%5Ctext%7Bx%7D%5E%7B%5Ctext%7Bx%7D%7D%20%3D%2049)
This is because the general form
transforms into ![\text{y} = \text{b}^{\text{x}}](https://tex.z-dn.net/?f=%5Ctext%7By%7D%20%3D%20%5Ctext%7Bb%7D%5E%7B%5Ctext%7Bx%7D%7D)
For both equations, the 'b' is the base.
1 /5 = 0 . 2
45 * . 2 = 9
Hope this helped :)