Answer: The correct answer is: [D]: "8" .
Step-by-step explanation:f y varies inversely with x; then y = k/x ; with "k" being the "constant" in this equation.
You can find the constant by substituting the values given: x = 16, f(x) = y = 2 ;
So, f(x) = y = 2 = k/16 ;
→ 2 = k / 16 ;
Solve for the constant; "k" ;
Multiply EACH SIDE of the equation by "16"
→ 16* (2) = (k / 16) * 16 ;
→ 32 = k ;
↔ k = 32 ;
As such, we can write the equation:
y = k/ x ; as:
→ y = 32/ x ;
Since we are given: "x = 4" ; Plug in that value; and solve for "y" ;
y = 32/4 = 8 .
y = 8 .
y = f(x) ;
So; f(x) = 8 ; which is: Answer choice: [D]: "8" .
Answer: Pipes
Step-by-step explanation: Pipes transfer water around and veins transfer blood around the body
Answer:
x > 1
Step-by-step explanation:
Given
8x - 2 > 6 ( isolate the term in x by adding 2 to both sides )
8x > 8 ( divide both sides by 8 )
x > 1
Answer:
y=447.3 pounds
x= 297.3 pounds
Step-by-step explanation:
Step one:
given data
Tea A costs $9 per pound and
Tea B cost $6 per pound.
let the number of pounds of Tea A be x
and for Tea B be y pounds
The total cost of the mixture = $8 per pound
hence
9x+6y=8---------1
The total weight of the mixture
150 pounds
x+y=150-----------2
Step two:
9x+6y=8---------1
x+y=150---------2
from eqn 2 x=150-y
put x= 150-y in eqn 1
9(150-y)+6y=8---------1
1350-9y+6y=8
1350-8=9y-6y
1342=3y
divide both sides by 3
y= 1342/3
y=447.3 pounds
put y= 447.3 in eqn 2
x+447.3= 150
x= 150-446=7.3
x= -297.3
x= 297.3 pounds
Answer:
slope = - 
Step-by-step explanation:
Parallel lines have equal slopes thus the slope of a parallel line will be equal to the slope of PQ
To calculate slope m use the slope formula
m = 
with (x₁, y₁ ) = P(- 2, 4) and (x₂, y₂ ) = Q(6, - 2)
m = 
= 
= -
