Find the common difference for the sequence shown. 56, 49, 42, 35, ...
a. -12 b .-7
c. 7
Answers
Answer:
Common difference is -7.
Step-by-step explanation:
Given : sequence 56, 49, 42, 35, ...
To find : Find the common difference.
Solution : We have given that 56, 49, 42, 35, ...
By the common difference of an arithmetic sequence is:
d =
Where, is the first term and
is the second term.
Then common difference = 49 -56
= -7 .
Therefore,b) common difference is -7.
This will be common difference of this sequence
it is such an easiest question
Related Questions
133 is 7% of what number
If cos Θ = negative 4 over 7, what are the values of sin Θ and tan Θ?
Joey can assemble all of his factory work in four hours. Phil takes six hours to assemble the same amount of factory work. If they worked together to assemble the same job together, how long would it take?
If the trends in this table continue , after how many years y will the population of Manchester , NH be more than the population of Vallejo , CA ? Round your answer to the nearest tenth of a year
Answers
Answer:
C
Step-by-step explanation:
(f - g)(x)
= f(x) - g(x)
= 5x² - 3 - ( x² - 4x - 8) ← distribute parenthesis by - 1
= 5x² - 3 - x² + 4x + 8 ← collect like terms
= (5x² - x² ) + 4x + (- 3 + 8)
= 4x² + 4x + 5
Answer:
The answer is C. (f-g)(x) simplifies to 4x²+4x+5
Answers
p=pennies remaining
p=12
Final answer:
The problem can be solved by setting up and solving an equation based on the number of coins - specifically dimes and pennies. After Peter spends some of his dimes, the remaining dimes are half the number of his pennies. From this, we can find out that Peter has 12 pennies.
Explanation:
The subject of this question is Mathematics, specifically, it focuses on solving word problems, and in this case, the problem relates to coins - dimes and pennies. From the problem, we know that Peter starts with 18 dimes and he spends 12 dimes, he will be left with 18 - 12 = 6 dimes.
The problem also states that the number of pennies Peter has is twice the number of dimes. Therefore, we can write this as an equation: 2 × (Number of dimes) = Number of Pennies.
Substituting the number of dimes (6), the equation become: 2 × 6 = Number of Pennies. Solving this equation, Peter has 2 × 6=12 pennies.
Learn more about Number of pennies Peter has here:
#SPJ12
Answers
Answer:
Hexagonal pyramid DOES NOT have any rectangular faces
Step-by-step explanation:
Given some solids we have to choose that one which DOES NOT have any rectangular faces
Pentagonal prism has total 7 faces out of which two faces are pentagons and 5 are rectangular.
Hexagonal pyramid is a pyramid with a hexagonal base upon which are erected 6 isosceles triangular faces.
It has no rectangular face.
Rectangular prism is a solid with 6 rectangular faces also known as cuboid.
Square pyramid is a pyramid with 1 square base. As every square is a rectangle.
we can say 1 rectangular face.
Hence, Hexagonal pyramid DOES NOT have any rectangular faces.
Option B is correct.
Answers
Answers
Answers
The correct answer is option B) 4 steps in front of where he started.
Edward moves forward 3 steps, then back 3 steps, then back 4 steps, then forward 5 steps, then forward 10 steps, and finally back 7 steps.
The total number of steps Edward moves forward is 3 + 5 + 10 = 18 steps.
The total number of steps Edward moves back is 3 + 4 + 7 = 14 steps.
So, Edward ends up 18 - 14 = 4 steps in front of where he started.
Therefore, the correct answer is option B) 4 steps in front of where he started.
To know more about an expression follow
#SPJ1