Answer:
The numbers:
1, -3, 2, -9, 3, -15, 4, -21,
are not linear.
Step-by-step explanation:
If it was linear:
4, 3, 2, 1, -3, -9, -15, -21
Answer:
Step-by-step explanation:
we have

This is the equation of a vertical parabola open downward
The vertex represent a maximum
Convert the quadratic equation into vertex form
step 1
Factor -2

step 2
Complete the square


step 3
Rewrite as perfect squares
----> equation in vertex form
The vertex is the point (1,5)
Answer:
Mr. Lopez delivers 1.5 tons of dog food to the animal shelter.
Step-by-step explanation:
Mr Lopez picks up 2 pallets of dog food to deliver to the animal shelter. Each pallet contains 40 bags of dog food, and the dog food weighs 37 1/2 pounds pet bag.
The weight of 1 bag of dog food = 
The weight of 40 bags of dog food = 
Each pallet weighs = 1500 pounds
2 pallets weighs = 1500×2=3000 pounds.
We know that 2000 pounds = 1 ton

Hence, Mr. Lopez delivers 1.5 tons of dog food to the animal shelter.
Answer:
Option (1)
Step-by-step explanation:
From the picture attached,
Triangle CAB is a right triangle.
Therefore, m∠1 = 90°
Similarly, m∠ACD = 90°
m∠ACD = m∠ACB + m∠BCD = 90°
= m∠3 + m∠4 = 90°
Since m∠4 = 35°,
m∠3 + 35° = 90°
m∠3 = 90° - 35°
= 55°
In the triangle ABC,
m∠ACB + m∠CBA + m∠BAC = 180° [Property of a triangle]
m∠3 + m∠2 + m∠1 = 180°
55° + m∠2 + 90° = 180°
m∠2 + 145° = 180°
m∠2 = 180° - 145°
= 35°
Since, AB║CD and BC is a transverse,
Therefore, m∠2 = m∠4 = 35° [Alternate interior angles]
Option (1) is the correct option.
Answer:
23.5 = (2 x 10) + (3 x 1) + (5/10)