Answer:
9 / 40 or 0.225
Step-by-step explanation:
total marbles : 9 + 12 + 13 + 6 = 40 marbles
probability of taking red = total red marbles/ total number of marbles
probability of taking red = 9 / 40
Given:
-2y + 5z = -3 <span>(first equation)
</span>y = -5x - 4z - 5 (second equation)
x = 4z + 4 <span>(third equation)<span>
</span></span>
Solution:
PART 1
Substitute x with (4z + 4) in the second equation
y = -5x - 4z - 5
y = -5(4z + 4) - 4z - 5
Then simplify
y = -20z - 20 - 4z - 5
add like terms
y = -20z - 4z - 20 - 5
y = -24z - 25
PART 2 : Find the value of z
We got y is equal to (-24z - 25). Substitute y with (-24z - 25) in the first equation, and we'll find the value of z.
-2y + 5z = -3
-2(-24z - 25) + 5z = -3
48z + 50 + 5z = -3
add like terms
48z + 5z = -3 - 50
53z = -53
z = -53/53
z = -1
The value of z is equal to -1
PART 3: Find y and x
Find the value of y by substitution of -1 in the place of z.
y = -24z - 25
y = -24(-1) - 25
y = 24 - 25
y = -1
The value of y is equal to -1
Find the value of x by substitution of -1 in the place of z.
x = 4z + 4
x = 4(-1) + 4
x = -4 + 4
x = 0
The value of x is equal to 0
I did that ima go fine the papers
Option B and D would have closed circles when graphed
The domain and range of a function are the components of a function. The domain is the set of all the input values of a function and range is the possible output given by the function.
At the endpoints of the domain, we draw open circles to indicate where the endpoint is not included because of a less-than or greater-than inequality; we draw a closed circle where the endpoint is included because of a less-than-or-equal-to or greater-than-or-equal-to inequality.
∴ Option B and D that are 5.7 ≤ p and ≥ y respectively would have closed circles
Learn more about domain and range here :
brainly.com/question/13856645
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Step-by-step explanation: