Answer:
y = 2/5x + 18.
Step-by-step explanation:
The line will have the same slope of 2/5.
Using the point-slope form of a line:
y - 12 = 2/5(x - -15)
y - 12 = 2/5(x + 15)
y = 2/5x + 6 + 12
y = 2/5x + 18.
Answer:
a) x₁ = 14
x₂ = - 6
b) x = 4
c) P(max ) = 4000000 $
Step-by-step explanation:
To find the axis of symmetry we solve the equation
a) -4x² + 32x + 336 = 0
4x² - 32x - 336 = 0 or x² - 8x - 84 = 0
x₁,₂ = [ -b ± √b² -4ac ]/2a
x₁,₂ = [ 8 ±√(64) + 336 ]/2
x₁,₂ = [ 8 ± √400 ]/2
x₁,₂ =( 8 ± 20 )/2
x₁ = 14
x₂ = -6
a) Axis of symmetry must go through the middle point between the roots
x = 4 is the axis of symmetry
c) P = -4x² + 32x + 336
Taking derivatives on both sides of the equation we get
P´(x) = - 8x + 32 ⇒ P´(x) = 0 - 8x + 32
x = 32/8
x = 4 Company has to sell 4 ( 4000 snowboard)
to get a profit :
P = - 4*(4)² + 32*(4) + 336
P(max) = -64 + 128 + 336
P(max) = 400 or 400* 10000 = 4000000
Answer: there are 8 quarters in the jar
Step-by-step explanation:
Let x represent the number of nickels that is inside the jar.
The total number of coins inside the jar is 20.
Probability is expressed as
Number of possible or favorable outcomes/total number of outcomes.
The probability of selecting a nickel is 0.6. This is expressed as
0.6 = x/20
Cross multiplying, it becomes
x = 20 × 0.6
x = 12
Since there are 12 nickels inside the jar, then the number of quarters would be
20 - 12 = 8
There is an infinite number of numbers between 0.33 and 0.34
for example, 0.331, 0.332, 0.3321213323, 0.3333333, 0.3336778, etc.
There should be more to the question.
