Answer: The number is 26.
Step-by-step explanation:
We know that:
The nth term of a sequence is 3n²-1
The nth term of a different sequence is 30–n²
We want to find a number that belongs to both sequences (it is not necessarily for the same value of n) then we can use n in one term (first one), and m in the other (second one), such that n and m must be integer numbers.
we get:
3n²- 1 = 30–m²
Notice that as n increases, the terms of the first sequence also increase.
And as n increases, the terms of the second sequence decrease.
One way to solve this, is to give different values to m (m = 1, m = 2, etc) and see if we can find an integer value for n.
if m = 1, then:
3n²- 1 = 30–1²
3n²- 1 = 29
3n² = 30
n² = 30/3 = 10
n² = 10
There is no integer n such that n² = 10
now let's try with m = 2, then:
3n²- 1 = 30–2² = 30 - 4
3n²- 1 = 26
3n² = 26 + 1 = 27
n² = 27/3 = 9
n² = 9
n = √9 = 3
So here we have m = 2, and n = 3, both integers as we wanted, so we just found the term that belongs to both sequences.
the number is:
3*(3)² - 1 = 26
30 - 2² = 26
The number that belongs to both sequences is 26.
select graph that matches the inequality
Answer:
The answer is
Step-by-step explanation:
C
Im stuck, someone help!!!!!!
Answer:
I think its C im not really sure
im begging yall please help me!please someone
Answer:
2.5
Step-by-step explanation:
what is -7x-3y=-8 if y=-5
Answer:
3.29
Step-by-step explanation:
-7x-3(-5)=-8
-7x+15=-8
-15 -15
-7x=-23
/-7 /-7
x=3.29
Answer:
-1 , replace y by -5 then u will get 15 take to the other side -8-15=-23 then keep x alone divide both sides by -7 so x =3.28
Step-by-step explanation:
Solve the equation:
7x − 2 = 26
Answer:
[tex] \large \boxed{x = 4}[/tex]
Step-by-step explanation:
Goal
Solve for x-term.Given
Equation[tex]7x - 2 = 26[/tex]
Step 1
Isolate x by adding 2 to both sides.[tex]7x - 2 + 2 = 26 + 2 \\ 7x + 0 = 28 \\ 7x = 28 \\ x = \frac{28}{7} \\ x = 4[/tex]
Step 2 (Optional)
We check the answer by substituting x = 4 in the equation.[tex]7x - 2 = 26 \\ 7(4) - 2 = 26 \\ 28 - 2 = 26 \\ 26 = 26[/tex]
The equation is true for x = 4. Hence, the solution is x = 4.
Find the value of X.
X= 30
X= 32
X= 25
X=27
Step-by-step explanation:
x+25+3x+27=180
4x=128
x=32
so option b
if 60% of your class likes to play basketball at recess and there are 30 students in your class, how many like playing basketball?
Answer:
18
Step-by-step explanation:
Can i get help with 6,7,8,9 and 10
Answer:
6 - x=68
7. x=59
8. x=33
9 - 132
10 - sorry dont know bout that one lol
Step-by-step explanation:
find the area of each square.
Answer:
25 m², 16 m², and 9 m²
Step-by-step explanation:
5 × 5 = 25 m²
4 × 4 = 16 m²
3 × 3 = 9 m²
Can someone please help me !
Answer: 14
Step-by-step explanation:
1.75x -2 + 1.75x -2 + 1.75x -2 =67.5
5.25x-6= 67.5
5.25x =73 .5
X = 14
Answer:
1.75x-2= -3.14
-3.14 x 1.75= -5.495 -2= -7.495
x=3.14
P=-22.485
Step-by-step explanation:
Select all correct ways of factoring
−4x − 12.
Answer:
-4(x+3)
Step-by-step explanation:
Answer:
4(3−x)
Step-by-step explanation:
−4x+12
Factor out 4.
4(−x+3)
I need help
Height10 m
Radius3 m
What is the volume of the cone to the nearest whole number?
Answer:
94m
Step-by-step explanation:
y=1x+2 y=3x-4 use substtiution
Answer:
3Y - 4X - 4
Step-by-step explanation:
Use the net to find the surface area of the regular pyramid.
Use substitution. What is the solution to the system of equations? Use the drop-down menus to explain your answer.
y =x+2
2y=x+4
The diagram shows a prism placed on a horizontal floor. The prism has height 3m. The volume of the prism is 18m^2. The pressure on the floor due to the prism is 75 Newton's/m^2. Work out the force exerted by the prism on the floor.
Kim has a a coin and a dice with 6 sides. She flips the coin once and rolls the dice once. What is the probability that the coin lands tails-up and the dice lands on a 4?
Answer:
10
Step-by-step explanation:
6+4=10
Answer:
1/3
Step-by-step explanation:
because if you multiply 1/2 and 4/6 you get 4/12 and 4/12 reduced is 1/3
Simplify the expression completely:
(5x+20)/(x^(2)+7x+12)*(x+3)/(7)
Answer 5/7 or 0.714285
Step-by-step explanation:
John has 420g of butter.
How many flapjacks can he make?
Answer:
https://app.quizalize.com/view/quiz/ratio-and-proportion-a66946a2-53d9-4134-a7ad-204cbf86c10e
Step-by-step explanation:
this should help you
[tex] \sqrt{49} [/tex]
find the square root
[tex]\sqrt{49} =\sqrt{7^2} =7[/tex]
Hope I helped you!Succes!Answer:
7
Step-by-step explanation:
[tex] \sqrt{49} [/tex]
[tex] \sqrt{ {7}^{2} } [/tex]
[tex](7 \times 7) = 49[/tex]
[tex] = 7[/tex]
Karla rode her bicycle 135 miles in 9 weeks, riding the same distance each week. Brad rode his bicycle 102 miles in 6 weeks, riding the same distance each week. Which statement correctly compares the number of miles per week they rode?
Hello can someone solve this
Answer:
There is a break in the y axis
Step-by-step explanation:
All factors pairs of 20?
1 x 20
2 x 10
4 x 5 (these go the other way round as well, like 10 x 2, etc)
all factors of 20 = 1,2,4,5,10,20
hope this helps!
i will give u the brainliest i need the answer with the steps .pls abswer soon☺☺
Answer:
ab = 24
so ac is half, so
ac = 12
and the radius is 13,
draw a line from a to o
and its tall will be 13 because it is the radius and o is the center
now use Pythagoras rule
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
put numbers
[tex] {12}^{2} + {b}^{2} = {13}^{2} [/tex]
and solve for b
b = 5
and that is the side we want
what is the value of x given the following image
Simplify: 3(3a + 4b)
can u please give me the answer and tell me how u got it :)
Answer:
Answer 21ab
Step-by-step explanation:
First you do 3 times 3a which you get 9a then to 3 times 4b and you get 12b. So 12b plus 9a equals 21ab
Answer:
9a+12b
Step-by-step explanation:
use the distributive property
since the three is on the outside of the parethesis distribute it
3x3a= 9a
then do the same with 4b
3x4b= 12b
final answer
9a+12b
Melea gallops her horse 0.5 miles in 1.25 minutes. How fast is the horse galloping?
Melea gallops her horse 0.5 miles in 1.25 minutes, then the speed of the horse will be equal to 0.4 miles/minute.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the given data in the question,
Distance (d) traveled by the horse = 0.5 miles
Time (t) taken by the horse to cover the distance = 1.25 minutes
Then, the speed of the horse will be,
[tex]Speed=\frac{Distance}{Time}[/tex]
s = 0.5/1.25
s = 0.4 miles/minute.
To know more about arithmetic operations:
https://brainly.com/question/25277954
#SPJ2
In which quadrant is sec e< 0 and tan e > 0?
Your answer:
A.I
B.II
C.III
D.IV
Answer:
C
Step-by-step explanation:
Because Tangent is positive in third quadrant
HELLPPP PLEASEEEEEEEEE :))))))
please help me, i have been on this problem for 45 minutes.
Answer:
Step-by-step explanation:
The absolute difference is 77-(-8)=85. The only option that is equivalent is
|-8|+77