What is t in the equation 6t+31=41

Write the following as an inequality 6 is greater than or equal to x and -2 is less than or equal to x

kipiarov [429]

Answer:

-2 ≤ x ≤ 6

Step-by-step explanation:

The first is ...

6 ≥ x

and it can also be written as ...

x ≤ 6

The second is

-2 ≤ x

The two inequalities can be combined into one compound inequality:

-2 ≤ x ≤ 6

_____

<em>Comment on this answer</em>

I prefer the answer in this form because it puts the parts of the expression in the same order that they appear on a number line. It can also be written as ...

6 ≥ x ≥ -2

7 0

4 years ago

given the recursive formula for a geometric sequence find the common ratio the 8th term and the explicit formula.did I set these

lesya [120]

Answer:

Step-by-step explanation:

1)Since we know that recursive formula of the geometric sequence is

$a_{n}=a_{n-1}*r$

so comparing it with the given recursive formula $a_{n}=a_{n-1}*-4$

we get common ratio =-4

8th term= $a_{1}*(r)^{n-1}=-2*(-4)^{7} =32768.$

Explicit Formula = $-2*(-4)^{n-1}$

2) Comparing the given recursive formula $a_{n}=a_{n-1}*-2$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-2

8th term= $a_{1}*(r)^{n-1}=-4*(-2)^{7} =512.$

Explicit Formula = $-4*(-2)^{n-1}$

3)Comparing the given recursive formula $a_{n}=a_{n-1}*3$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =3

8th term= $a_{1}*(r)^{n-1}=-1*(3)^{7} =-2187.$

Explicit Formula = $-1*(3)^{n-1}$

4)Comparing the given recursive formula $a_{n}=a_{n-1}*-4$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-4

8th term= $a_{1}*(r)^{n-1}=3*(-4)^{7} =-49152.$

Explicit Formula = $3*(-4)^{n-1}$

5)Comparing the given recursive formula $a_{n}=a_{n-1}*-4$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-4

8th term= $a_{1}*(r)^{n-1}=-4*(-4)^{7} =65536.$

Explicit Formula = $-4*(-4)^{n-1}$

6)Comparing the given recursive formula $a_{n}=a_{n-1}*-2$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-2

8th term= $a_{1}*(r)^{n-1}=3*(-2)^{7} =-384.$

Explicit Formula = $3*(-2)^{n-1}$

7)Comparing the given recursive formula $a_{n}=a_{n-1}*-5$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-5

8th term= $a_{1}*(r)^{n-1}=4*(-5)^{7} =-312500.$

Explicit Formula = $4*(-5)^{n-1}$

8)Comparing the given recursive formula $a_{n}=a_{n-1}*-5$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-5

8th term= $a_{1}*(r)^{n-1}=2*(-5)^{7} =-156250.$

Explicit Formula = $2*(-5)^{n-1}$

6 0

3 years ago

Graph the set of points. which model is most appropriate for the set? (-6, -1)(-3, 2)(-1,4)(2,7)

lianna [129]

For this case, the first thing to do is to graph the following ordered pairs:
(-6, -1)
(-3, 2)
(-1,4)
(2,7)
We observe that the graph is a linear function with the following equation:
y = x + 5
Note: see attached image.
Answer:
The function that best represents the ordered pairs is:
y = x + 5

5 0

4 years ago

Determine whether the graphs of 7= 5x+9 and -y = -5x -9 are parallel, perpendicular, coincident, or none of these.

3241004551 [841]

Assuming your first equation is y = 5x+9, the equations describe lines that are coincident.

_____
Multiplying the second equation by -1, it becomes y = 5x+9, the same as the first equation.

6 0

3 years ago

A preschool teacher has 17.5 feet of yarn for her students to make necklaces to raise money for a local animal shelter each neck

Scorpion4ik [409]

17.5x12=210
210 divided by 14=15
15x2.50=37.5
37.5
17.5 is feet so you need to divide by 12 for inches which gets 210 and you need each necklace to be 14 inches so you need to divide 210 by 14 which is 15 each necklace costs 2.50 so you multiply 2.50x15
You get 37.5

7 0

2 years ago