Answer: <u>x=11</u>
Step-by-step explanation:
Set the two equations equal to each other
5x+9 = 6x-2
9=x-2
11=x
x=11
X will need to be 11 in order to make the two equations equal to each other
Set each factor EQUAL to zero to find the zeroes (since it is not actually equal to zero, you will use an open circle when graphing and an open bracket when writing in interval notation).
x = 0 x-1 = 0 x + 4 = 0
x = 1 x = -4
Next, choose a value to the far left, between each of the zeroes, and to the far right to evaluate if it makes a true statement when input into the given inequality.
far left (I choose -5): -5(-5 - 1)(-5 + 4) > 0 → (-)(-)(-) > 0 → negative > 0 FALSE
- 4 to 0 (I choose -2): -2(-2 - 1)(-2 + 4) > 0 → (-)(-)(+) > 0 → positive > 0 TRUE
0 to 1 (I choose 0.5): .5(.5 - 1)(.5 + 4) > 0 → (+)(-)(+) > 0 → negative > 0 FALSE
far right (I choose 2): 2(2 - 1)(2 + 4) > 0 → (+)(+)(+) > 0 → positive > 0 TRUE
Answer: (-4, 0) U (1, ∞)
Answer:
B. (0, 4)
Step-by-step explanation:
so we need to find the value of m and n, and luckily we have 2 equations that'll help. (I'm going to use the substitution method for this instead of the Elimination method because I am lazy)
first we need to solve for m, but we already have an equation that tells us what m is equal to, m = n - 4.
now we just need to plug in our new m into the other equation and solve for n. (we are using m + 5n = 20 for that)
so now we get
(n - 4) + 5n = 20
so we solve for n
n + 5n = 24
6n = 24
n = 4
now that we know that n is 4, we can plug that into our m equation (m = n - 4)
m = 4 - 4
m = 0
now we have our m and n, and we can make our ordered pair.
(m, n)
(0, 4)
Y = 16.14z ; the constant of proportionality is 16.14. It is called constant of proportionality because it never changes. It remains constant or the same. Whatever the value of z is, y is directly proportional to z by the rate of the constant of proportionality.
Let x= smaller#
Let 2x-5=larger#
X+2x-5
