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Westkost [7]
2 years ago
5

Solve by completing the square. 3x^2+x-2=0

Mathematics
1 answer:
rodikova [14]2 years ago
3 0

Answer: x  =  2 /3  ,  −  1

Step-by-step explanation:

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Hannah is at the supermarket to buy carrots and potatoes. If she buys 2 pounds of carrots and 3 pounds of potatoes, it will cost
zhenek [66]

Answer:

Carrots cost $ 1.75 a pound which is more than potatoes cost.

Step-by-step explanation:

Let,

Carrots cost $ x per pound and potatoes cost $ y per pound.

Buying 2 pounds of carrots  and 3 pounds of potatoes will cost her

$ (2\times x + 3\times y)

and

Buying 4 pounds of carrots and 4 pounds of potatoes will cost her

$ (4\times x + 4\times y)

According to the question,

(2\times x + 3\times y) = 8-----(1)

(4\times x + 4\times y) = 13-----(2)

multiplying (1) by 2 we get,

(4\times x + 6\times y) = 16-----(3)

Deducting (2) from (3) we get,

2\times y = 3

⇒ y = \frac{3}{2} = 1.5------------------(4)

Putting value of y in (1) we get,

(2\times x = 8 - 3\times 1.5) = 3.5

⇒  x =\frac{3.5}{2} = 1.75 ------------(5)

8 0
3 years ago
If x=7, what does y equal in the following equation?"
igomit [66]

y = -5

...................

3 0
3 years ago
Read 2 more answers
Karen has to buy 8 people gifts, and she wants to spend the same amount on each person. Which equation would help her determine
ValentinkaMS [17]
$32/8=Answer
Answer=$4
She can spend $4 on each person.

Hope this helps!
5 0
3 years ago
Read 2 more answers
-| x-4| + 2 = -2x + 7
astraxan [27]

X=3

Let's solve your equation step-by-step.

−

|

x

−

4

|

+

2

=

−

2

x

+

7

Step 1: Add -2 to both sides.

−

|

x

−

4

|

+

2

+

−

2

=

−

2

x

+

7

+

−

2

−

|

x

−

4

|

=

−

2

x

+

5

Step 2: Divide both sides by -1.

−

|

x

−

4

|

−

1

=

−

2

x

+

5

−

1

|

x

−

4

|

=

2

x

−

5

Step 3: Solve Absolute Value.

|

x

−

4

|

=

2

x

−

5

We know either

x

−

4

=

2

x

−

5

or

x

−

4

=

−

(

2

x

−

5

)

x

−

4

=

2

x

−

5

(Possibility 1)

x

−

4

−

2

x

=

2

x

−

5

−

2

x

(Subtract 2x from both sides)

−

x

−

4

=

−

5

−

x

−

4

+

4

=

−

5

+

4

(Add 4 to both sides)

−

x

=

−

1

−

x

−

1

=

−

1

−

1

(Divide both sides by -1)

x

=

1

x

−

4

=

−

(

2

x

−

5

)

(Possibility 2)

x

−

4

=

−

2

x

+

5

(Simplify both sides of the equation)

x

−

4

+

2

x

=

−

2

x

+

5

+

2

x

(Add 2x to both sides)

3

x

−

4

=

5

3

x

−

4

+

4

=

5

+

4

(Add 4 to both sides)

3

x

=

9

3

x

3

=

9

3

(Divide both sides by 3)

x

=

3

Check answers. (Plug them in to make sure they work.)

x

=

1

(Doesn't work in original equation)

x

=

3

(Works in original equation)

7 0
3 years ago
Find the missing side lengths leave your answers as radicals in simplest form
schepotkina [342]

Answer:

14

Step-by-step explanation:

To find x, you will need to use sine. If you want to find y, use cosine:

sin 45 = x / 14 sqrt(2)

x = 14

(Since this is a 45 45 90 special triangle, x and y have the same length)

Since I talk about special triangles, 45 45 90 triangles are very simple:

To find the other two side lengths, just divide the hypotenuse by sqrt 2

14 sqrt(2) / sqrt(2) = 14

So both ways will still lead to 14

4 0
2 years ago
Read 2 more answers
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