Answer:
b(x) = -2X² + 19X + 114
Step-by-step explanation:
b(x) = total revenue generated per day
total revenue formula ⇒ b(x) = price x quantity
price = $3 current price + 0.5X price increase = 3 + 0.5X
quantity = 38 current quantity sold - 4 books per X = 38 - 4X
b(x) = (3 + 0.5X) · (38 - 4X)
b(x) = 114 -12X + 19X - 2X²
b(x) = -2X² + 19X + 114
Answer:
52.94 miles per unit
Step-by-step explanation:
The unit rate is found by dividing miles per time
90 miles /1.7 unit
52.94117647 miles per unit
First 3x52 = 156 then 156x10 = 1560
Answer:
y = 5x
Step-by-step explanation:
since y varies directly as x then the equation connecting them is
y = kx ← k is the constant of variation
to find k use the condition y = 60 when x = 12, then
k =
=
= 5
y = 5x ← is the equation of variation
Answer:
<h3>
Acute Angles: ∠TLS, ∠SLT, ∠ULR</h3><h3>
Right Angles: ---------</h3><h3>
Obtuse Angles: ∠RLT, ∠SLU, ∠ULS,</h3><h3>
Straight Angles: ∠RLS, ∠TLU </h3><h3>
Not angles: ∠TRL </h3>
Step-by-step explanation:
The lines intersect at point L, so all angles have a vertex (middle letter) L so there is no angle TRL
Straight angle is a line with dot-vertex, so the straight angles are ∠RLS and ∠TLU.
∠TLS is less than 90° then it is acute angle (∠SLT is the same angle). ∠ULR is vertex angle to ∠TLS, so it's also acute angle.
Two angles adding to straight angle mean that they are both right angles or one is acute and the second is obtuse. ∠TLS is acute so ∠RLT is obtuse (they adding to ∠RLS) and ∠SLU is obtuse (they adding to ∠TLU). ∠ULS is the same angle as ∠SLU.