Answer:
x + 6
Step-by-step explanation:
consider the x- coordinates of the right angle
x- coordinate of A = - 4
x- coordinate of B = 2
then
| 2 - (- 4) | = | 2 + 4 | = | 6 | = 6
the x- coordinate has been shifted 6 units to the right , so the rule is
x + 6
Answer:
The company needs to sell either 30 or 40 items.
Step-by-step explanation:
We are given that the cost for selling <em>x</em> items given by the function:
And the revenue for selling <em>x</em> items is given by:
The profit function is the cost function subtracted from the revenue function:
Substitute and simplify:
To find how many items must be sold in order to obtain a weekly profit of $300, we can let <em>P</em> equal 300 and solve for <em>x</em>. So:
Solve for <em>x</em>. Subtract 300 from both sides:
We can divide both sides by -0.4:
Factor:
Zero Product Property:
Solve for each case:
So, in order to obtain a weekly profit of $300, the company need to sell either 30 <em>or</em> 40 items.
Answer: £60
Step-by-step explanation:
Natalie bought a pair of shoes for £54 which had been reduced by 10%.
To find the original cost, assume the original cost is x.
The discount would be: 10% * x
The expression would therefore be:
x - (10% * x) = 54
x - 0.1x = 54
0.9x = 54
x = 54 / 0.9
x = £60
The first step would be to simplify both sides of the equal sign as much as possible.
8x - 5 = -3(3 - 2x)
8x - 5 = -9 - (-6x)
8x - 5 = -9 + 6x
Next, you would need to combine like terms on both sides of the equal sign to one on one side of the equal sign and one on the other.
8x - 5 = -9 + 6x
2x - 5 = -9
2x = -4
Now, all you have to do is isolate the x. To do this, you would divide both sides by 2.
2x = -4
x = -2
I hope this helps!
$11.28 so in total it would be $67.67
