Answer:
x≤5
Step-by-step explanation:
-10(9-2x)-x≤2x-5
-90+20x-x≤2x-5
19x-2x≤90-5
17x≤85
x≤85/17
x≤5
Answer:
1 cm
Step-by-step explanation:
To solve this problem we can use the Pythagorean theorem. In fact the diagonal of a rectangle is an hypotenuse of a right triangle, while the length is a leg. The width is the other leg
width = √2^2 - (√3)^2 = √4 - 3 = √1 = 1 cm
Answer:


Step-by-step explanation:
<u>First, Let's solve for x in -2x+2y=-4:</u>

<u>Subtract 2y from both sides:</u>


<u>Divide both sides by -2:</u>


<u>Now, we'll substitute x=y+2 to 3x+3y=-18:</u>

→ let x=2+y

<u>Simplify:</u>

<u>Now, let's solve for y in 6+6y=-18</u>

<u>Subtract 6 from both sides:</u>


<u>Divide both sides by 6:</u>


<u>Now, substitute y=-4 into x=2+y:</u>

→ let y = -4


Therefore, x=-2 and y=-4.
<u>_____________________________________</u>
f(-1) = -11 and f(3) = -3 . these functions are true .
What does a math function mean?
- A relationship between a group of inputs and one output each is referred to as a function.
- A function is an association between inputs in which each input is connected to precisely one output.
- A domain, codomain, or range exists for every function. f(x), where x is the input, is a common way to refer to a function.
- In mathematics, a function is an expression, rule, or law that establishes the relationship between two variables (the dependent variable).
given function f(x) = 2x - 9
f(-1) = -11 ⇒ x = -1 put in function
f( -1 ) = 2 * -1 - 9 ⇒ - 11
f(2) = 5 ⇒ x = 2 put in function
f( 2 ) = 2 * 5 - 9 = 1
f(3) = -3 ⇒ x = 3 put in function
f ( 3 ) = 2 * 3 - 9 = -3
f(-3) = 15 ⇒ x = -3 put in function
f( -3) = 2 * -3 - 9 = - 15
Learn more about function
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Answer:
Part A; Initial dosage is 10 milligrams
Part B:
8.4113 milligrams after 1 hour
5.0057 milligrams after 4 hours.
Step-by-step explanation:
It is given M(h)= 10 
Initial dosage is the 10 milligrams
After 1 hour, plug in h as 1
So, M(1)=10
Simplify the right side
M(1)=10(0.84113)
M(1)= 8.4113 milligrams.
Now, after 4 hours
M(4)=10 
M(4)=10(0.50057)
M(4) =5.0057 milligrams