Graph 1 is related to table C because the first 3 values are increasing, and the 4th value decreases. Or because at 1PM, 3PM, and 5PM, the temperature was increasing, but at 7PM the temperature decreased. Graph 1 shows the first 3 points increasing, and then decreasing at the 4th point.
Graph 2 is related to table A because as the time increases/goes on, the temperature decreases exponentially/continues to decrease at a higher rate than before. From 1-3PM the temperate decreases by 2°F, from 3-5PM it decreased by 8°F, from 5-7PM the temperature decreased by 17°F.
Graph 3 is related to table B because as the time increases/goes on, the temperature decreases at a steady rate of 1°F every 2 hours.
Answer:
x = 12
Step-by-step explanation:
Given a tangent and a secant from an external point to the circle, then
The square of the tangent is equal to the product of the external part and the entire secant, that is
x² = 6(6 + 18) = 6 × 24 = 144 ( take the square root of both sides )
x = 
= 12
Answer: Choice A
y = (-3/4)(x + 4) + 6
=====================================================
Let's go through the answer choices
- Choice A is something we'll come back to
- Choice B is false because the line does not go uphill as we move from left to right. The graphed line has a negative slope, which contradicts what choice B is saying.
- Choice C is false for similar reasons as choice B. The slope should be negative.
- Choice D has a negative slope, but the y intercept is wrong. The y intercept should be 3. So choice D is false as well.
We've eliminated choices B through D.
Choice A must be the answer through process of elimination.
------------
Here's an alternative method:
If we started at a point like (0,3) and move to (4,0), note how the slope is -3/4
This is because we've moved down 3 units and to the right 4 units.
m = slope = rise/run = -3/4
We can also use the slope formula m = (y2-y1)/(x2-x1) to see this.
Then we pick on a point that is on the diagonal line. It could be any point really, but the point your teacher used for choice A is (x1,y1) = (-4,6)
So,
y - y1 = m(x - x1)
y - 6 = (-3/4)(x - (-4))
y - 6 = (-3/4)(x + 4)
y = (-3/4)(x + 4) + 6
Answer: a. You must pay $11.19 for the item.
b.The price you would expect to pay would be $36.59
Step-by-step explanation:
Hi, for first the question you need to calculate the 30 percent of the price of the item, and then subtract that result to the original price.
So: $15.99 × 0,30 = $4.797
$15.99 - $4.797 = $11.19
You must pay $11.19 for the item.
It´s a similar resolution, first you calculate the 40 percent of the retail price, and then subtract that result to the retail price.
So:
$60.99 × 0,40= $24.396
$60.99 - $24.396 = $36.59
The price you would expect to pay would be $36.59
Answer:
g(x)=4x-48
Step-by-step explanation:
f(x)=0.25x + 12
substitute
f(x) with y
y=0.25x + 12
then replace x with y and y with x
x=0.25y + 12
swap equation
0.25y + 12 = x
0.25y = x - 12
divide both sides by 0.25
Y=4x-48
