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fiasKO [112]
3 years ago
12

Which of the following is the solution?A. 2B. 5≤x<−2C. 2≤x≤5D. −5

Mathematics
1 answer:
WARRIOR [948]3 years ago
5 0

Answer:

we conclude that:

8\le \:-4x

The graph is also attached below.

Step-by-step explanation:

Given the inequality expression

9\le 1-4x

simplify

9\le -4x+1

Add -1 to all parts

9+(-1)\le -4x+1+(-1)

simplify

8\le -4x

Divide all parts by -4

\frac{8}{-4}\le -\frac{4x}{-4}

-2\ge \:x>-5

Thus, we conclude that:

8\le \:-4x

The graph is also attached below.

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You need to buy some chicken for dinner tonight. You found an ad showing that the store across town has it on sale for $3.19 a p
SSSSS [86.1K]

Answer:

Yes, it is worth the extra drive, going to the further store is cheaper.

The cheaper option saves you $0.89.


Step-by-step explanation:

1.) Neighborhood store

It is 2.4 miles away

The car averages about 25 miles per gallon, then you would need:

2.4 miles / (25 miles/gallon) = 0.096 gallons of gas < 13 gallons (Ok)

The gas is about $3.89/gallon, then the gas would cost:

0.096 gallons * ($3.89/gallon) = $0.37344 = $0.37

The chicken is sold for $3.49 a pound, and you need 6 pounds, then you would pay:

6 pounds * ($3.49/pound) = $20.94

In total you would need:

$0.37 (gas) + $20.94 (chiken) = $21.31 if you buy the chicken in the neiborhood store

2.) Store acroos town

It is 8.2 miles away

The car averages about 25 miles per gallon, then you would need:

8.2 miles / (25 miles/gallon) = 0.328 gallons of gas < 13 gallons (Ok)

The gas is about $3.89/gallon, then the gas would cost:

0.328 gallons * ($3.89/gallon) = $1.27592 = $1.28

The chicken is sold for $3.19 a pound, and you need 6 pounds, then you would pay:

6 pounds * ($3.19/pound) = $19.14

In total you would need:

$1.28 (gas) + $19.14 (chiken) = $20.42 if you buy the chicken in the store across town


$20.42 < $21.31, then it is worth the extra drive, going to the further store is cheaper.

The cheaper option saves you: $21.31-$20.42=$0.89


8 0
3 years ago
Please Help Fast!!! 20 points <br> Solve the system of equations: <br> 25−x=−4y<br> 3x−2y=30
gogolik [260]

Answer:

(7, -4.5)

Step-by-step explanation:

25−x=−4y  ---> x=25+4y

3x−2y=30

use x to substitute into the second equation

3 (25+4y)-2y = 30

75+12y-2y=30

75+10y=30

10y=-45

y=-4.5

3x-2(-4.5)=30

3x+9=30

3x=21

x=7

check:

25-7=-4*-4.5

18=18 (yes)

3*7-2*-4.5=30

21+9=30

30=30 (yes)

6 0
3 years ago
Identify the hypothesis and conclusion of each conditional statement. Then write each sentence in if-then form
lukranit [14]

Answer:

If you place two collinear points, then they will fall on the same line

Step-by-step explanation:

?

3 0
3 years ago
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
n
=
a
1
⋅
r
n
−
1
a
n
=
a
1
⋅
r
n
-
1
.
Geometric Sequence:
r
=
2
3
r
=
2
3
This is the form of a geometric sequence.
a
n
=
a
1
r
n
−
1
a
n
=
a
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
)
n
-
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
5
=
8
81
a
5
=
8
81
4 0
3 years ago
Help please!!!
Tanya [424]
Sin C = AB / AC
We have AC. We need to calculate AB

ABC is a right triangle. Therefore, AC² = AB²+BC²
82² = AB ² + 80² => AB² = 82² - 80²
AB = 18

Sin C = 18/82 = 9/41

Good luck
4 0
3 years ago
Read 2 more answers
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