Answer:
y=2x+7
Step-by-step explanation:
Answer:
a = 2
Step-by-step explanation:
If M is the midpoint, 1/2 of FG = FM since FG is the whole length.
FG = 14a + 1
1/2 FG = 1/2(14a + 1)
1/2 FG = 7a + 1/2
The length of the segment FM = 14.5 and that is the same length as 1/2 FG
7a + 1/2 = 14.5
1/2 = 0.5
7a + 0.5 = 14.5 Subtract 0.5 from both sides
7a = 14.5 - 0.5
7a = 14 Divide by 7
a = 14/7
a = 2
Let's rewrite the information then figure out the answer.
DVD: $9.00 originally but on sale with an 80% discount.
80%=0.80
9.00(0.80) = $7.20
$9.00 - $7.20 = $1.80
Thus, the sales price is: $1.80
Answer:

Step-by-step explanation:
<u>Function modeling</u>
Real-life situations often require the help of mathematics to model numerically what happens when the variables involved can change. It could even be used to predict some expected outcomes from those models.
The problem states Janice receives $.40 per pound when he recycles less or equal than 99 pounds of aluminum. If x is the number of recycled pounds, then the amount of money he receives is

We also know that if he recycles more than 100 pounds of aluminum, the pay increases to $0.5 per pound. In that case, the amount of money is

This is a case where the function is defined differently depending on the conditions of the input variable x. It's called a piecewise function. The function can be written as

Note the function is not well constructed because there is a gap for x=100 where M is not defined. If we establish that for 100 pounds the payment is $0.5, then the second piece would include x=100
1. Check the picture attached.
let P, M, N be the points :P(5, -2), M(5, 0), N(0, -2)
ABP is the angle with measure ∅, where BA is the initial ray and BP the terminal ray.
2. m(PNM)=∅ as can be easily checked
In triangle PNM, NP=5, PM=2 and NM=

units
3. let opp=opposite side, adj=adjecent side, hyp=hypothenuse
sin ∅ = opp/hyp=

cos ∅ = adj/hyp=

tan ∅ = opp/adj=2/5
cot ∅ = adj/opp=5/2
sec ∅ = hyp/adj=

csc ∅ = hyp/opp=