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stellarik [79]
3 years ago
11

The equation y = 1/3 x is the boundary line for the inequality y ≤ 1/3 x Which sentence describes the graph of the inequality?

Mathematics
1 answer:
professor190 [17]3 years ago
7 0
D d d d f ddddddddddd
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he value of y varies directly with the value of x. When y = 32.5, x = 5. What is the value of y when x = 10? A) 1.5 B) 2.2 C) 37
xz_007 [3.2K]

Answer:

D) 65

Step-by-step explanation:

The formula for direct variation is

y = kx

where k is the constant of variation.


If we know y=32.5 and x=5, we can substitute in to calculate k

32.5 = k * 5

Divide each side by 5

32.5/5 = k

6.5 = k

So the equation is

y = 6.5k

Given x =10

y = 6.5*10

y = 65

7 0
3 years ago
Read 2 more answers
1, 3/2 , 9,4 ...<br> Find the 9th term HELP ASAP
yarga [219]
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by
2
3
2
3
gives the next term. In other words,
a
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−
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a
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.
Geometric Sequence:
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r
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This is the form of a geometric sequence.
a
n
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1
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a
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1
r
n
-
1
Substitute in the values of
a
1
=
1
2
a
1
=
1
2
and
r
=
2
3
r
=
2
3
.
a
n
=
(
1
2
)
⋅
(
2
3
)
n
−
1
a
n
=
(
1
2
)
⋅
(
2
3
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n
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1
Apply the product rule to
2
3
2
3
.
a
n
=
1
2
⋅
2
n
−
1
3
n
−
1
a
n
=
1
2
⋅
2
n
-
1
3
n
-
1
Multiply
1
2
1
2
and
2
n
−
1
3
n
−
1
2
n
-
1
3
n
-
1
.
a
n
=
2
n
−
1
2
⋅
3
n
−
1
a
n
=
2
n
-
1
2
⋅
3
n
-
1
Cancel the common factor of
2
n
−
1
2
n
-
1
and
2
2
.
Tap for more steps...
a
n
=
2
n
−
2
3
n
−
1
a
n
=
2
n
-
2
3
n
-
1
Substitute in the value of
n
n
to find the
n
n
th term.
a
5
=
2
(
5
)
−
2
3
(
5
)
−
1
a
5
=
2
(
5
)
-
2
3
(
5
)
-
1
Simplify the numerator.
Tap for more steps...
a
5
=
8
3
(
5
)
−
1
a
5
=
8
3
(
5
)
-
1
Simplify the denominator.
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a
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81
a
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81
4 0
2 years ago
Arrange the rational numbers −7/10, 5/−8, 2/−3in ascending order.
lilavasa [31]

Answer:

-8 / -7 / -3 / 2 / 5 / 10

Step-by-step explanation:

you have to arrange all the numbers from the smallest number to the greatest number, but in negative, always bigger number are considered small.

7 0
3 years ago
pam is making fruit punch for a party using the ratio of 2 cups of club soda with 5 cups of juice. complete the table to show eq
inn [45]

Answer:

from left to right 4,20,25,20

Step-by-step explanation:

4 0
3 years ago
The time is took Tayna to complete different sets of math problems varied directly with the number of problems in the set Tayna'
Vsevolod [243]

Answer:

C

Step-by-step explanation:

time is directly proportional to the number of problems in the set

=> x = ky

k = constant of proportionality

when k = 12

x = 12y

by making y the subject, we divide both sides by 12

=> y = x/12

3 0
3 years ago
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