A science teacher ordered $1848 worth of microscopes and dissection kits for the new science lab. A total of 30 microscopes and
48 dissections kits were ordered. A microscope costs four times as much as a dissection kit. Find the cost of of the microscope and dissection kit. Show how you got your equations and answer.
1 answer:
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Answer:
y = - 2x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (8, - 9) and (x₂, y₂ ) = (- 4, 15)
m = =
= - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, - 9), then
- 9 = - 16 + c ⇒ c = - 9 + 16 = 7
y = - 2x + 7 ← equation of line
See the attached picture for the solution:
Answer: OPTION C
Step-by-step explanation:
There are some transformations for a function f(x). Some of them are shown below:
1. If , the function is shifted up "k" units.
2. If , the function is shifted down "k" units.
3. If , the function is shifted left "k" units.
4. If , the function is shifted right "k" units.
In this case you know that the function "g" is the transformation of the function "f".
Observe that the function "f" intersects the y-axis at:
And the function "g" intersects the y-axis at:
Therefore, since both functions are 4 units apart, you can conclude that the function "f" was shifted down 4 units to get the function "g".
Then, the rule that shows that transformation is: