Answer:
Step-by-step explanation:
To find the answer to Part A, we can turn this into a simple equation:
192.7 - (2.3 times 25) = <em>temperature, </em>the missing value.
So therefore, after 25 minutes pass, the temperature is equal to
192.7 - 57.5, or:
135.2 = Answer to Part A.
Now, onto Part B. We can use <u>another</u> equation!
192.7 - 2.3x = 100.7
Now, we must solve the given equation, first by taking 100.7 from each side:
192.7 - 2.3x = 100.7
-100.7 -100.7
We are now left with: 92 - 2.3x = 0 - we must now add 2.3x to 2.3x and 0, giving us this:
92 = 2.3x, which is equivalent to 920 = 23x, if that is what you prefer to solve.
To give us our missing value (x), we can divide 920 by 23, giving us: x = 40. This is the answer to Part B: 40 minutes.
I hope this was really helpful! Tell me if you need any more help.
Answer: 1
f(x) = 3x - 4 => f(3) = 3.3 - 4 = 9 - 4 = 5
g(x) = x² => g(2) = 2² = 4
=> f(3) - g(2) = 5 - 4 = 1
Step-by-step explanation:
Answer:
<em>(7, 5.25)</em> lies on the graph.
Step-by-step explanation:
We are given the following values
x = 4, 6, 8, 12 and corresponding y values are:
y = 3, 4.5, 6, 9
Let us consider two points (4, 6) and (6, 4.5) and try to find out the equation of line.
Equation of a line passing through two points 
and 
is given as:
where m is the slope.
(x,y) are the coordinates from where the line passes.
c is the y intercept.
Here,
Formula for slope is:
Now, the equation of line becomes:
Putting the point (4,3) in the above equation to find <em>c</em>:
So, final equation of given function is:
OR
As per the given options, the point <em>(7, 5.25) </em>satisfies the equation.
So correct answer is 
.
Answer:
$43.20
Step-by-step explanation:
The price with tax is 100% + 8% = 1.08 times the price before tax. The discount multplies that price by 100% -20% = 0.80. The discount multiplier is the same whether the discount is applied before or after the tax.
The combined effect of the two multipliers is ...
... 1.08 × 0.80 = 0.864
so the discounted price with tax added is 0.864 × $50 = $43.20
_____
Perhaps you're supposed to figure the tax (8% of $50 = $4), add the tax ($50 +4 = $54), then subtract the discount (20% of $54 = $10.80) to get
$54.00 -10.80 = $43.20
