Answer:
The given equation will have value less than 100 whenever the value of b is greater than 12.89
Step-by-step explanation:
For the given equation, p(b) = 520 × 
to have a value less than 100 we can establish inequality as:
p(b) < 100
or, 520 × < 100
or, 
× < 
or, < 
or, ㏒ ( ) < ㏒ ()
or, b× ㏒ 0.88 < ㏒ ()
or, 
< b
or, 12.89 < b
Hence for the equation to have value less than 100, b must be greater than 12.89.
Answer:
Step-by-step explanation:
Given
Required
PQ
Since Q is between the given points, then:
This gives:
Collect like terms
Next, solve for x
We have:
This gives:
Collect like terms
Divide by 2
So:
The answer is 132. 132 is the original price. 80$ x 65% = 52. 80 + 52 = 132. So 132 is answer and original price.
Answer:
B.
Step-by-step explanation:
The answer is B. The problem says that the slope is 2 and it as the points (3,10) on its line. When looking at the graph, you can see that the line crosses at four on the y-intercept which is why four will be your constant. So, your equation in slope intercept form will become y=2x+4. With this, you can start eliminating the given answers.
You can immediately eliminate c and d because the 2 is negative when it isn't in its slope form. It leaves you with a and b.
When looking at both a and b you now have to look at what your y will become when you sinplify both of them. In choice a, the 2 multiplies with the 3 and gives you 6. Since you have to leave the y by itself you have to subtract 10 from both sides which will leave you with -4. Since your y-intercept isn't negative you know that a isnt the ansewr.
When checking b, you multiply the 2 and -3 to get -6. Since you have to leave the y by itself, you add 10 to each side and end up with 4 which is the same number that crosses the y-axis. and that is how you know it's the right answer.
