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BARSIC [14]
3 years ago
11

Find the real solutions of the equation. (2x-6)^2 + 4(2x -6) +3 = 0

Mathematics
1 answer:
miskamm [114]3 years ago
7 0

Answer:

(

2

x

−

6

)

2

+

4

(

2

x

−

6

)

+

3

=

0

Simplify the left side.

Tap for more steps...

(

2

x

−

6

)

2

+

8

x

−

21

=

0

Use the quadratic formula to find the solutions.

−

b

±

√

b

2

−

4

(

a

c

)

2

a

Substitute the values  

a

=

4

,  

b

=

−

16

, and  

c

=

15

into the quadratic formula and solve for  

x

.

16

±

√

(

−

16

)

2

−

4

⋅

(

4

⋅

15

)

2

⋅

4

Simplify.

Tap for more steps...

x

=

4

±

1

2

The final answer is the combination of both solutions.

x

=

5

2

,

3

2

Step-by-step explanation:

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Ari thinks the perfect milkshake has 3 ounces of caramel for every 5
tangare [24]

Answer:

A - They Have Too Much Caramel

Step-by-step explanation:

Ari likes 3 oz caramel for 5 scoops ice cream.

Freeze Zone makes 6 oz caramel with 8 scoops of ice cream.

Divide both amounts of Freeze Zone by 2.

6 oz caramel for 8 scoops of ice cream is the same ratio as

3 oz caramel for 4 scoops of ice cream.

Since Ari likes 3 oz caramel for 5 scoops ice cream,

he will think it's too much caramel for the ice cream.

Answer: A - They Have Too Much Caramel

8 0
3 years ago
Richard is given one of four pieces of equal-sized fabric. After using some of his fabric for a project, he has 5/6 of a square
ValentinkaMS [17]

Answer:

Richard used 2\frac{1}{12}\ yd ^2 of fabric for his project.

Step-by-step explanation:

Given:

Total amount of fabric = 11\frac23\ yd^2

Now To convert a mixed fraction to an improper fraction, Multiply the whole number part by the fraction's denominator,  Add that to the numerator,Then write the result on top of the denominator.

11\frac23\ yd^2 can be Rewritten as \frac{35}{3}\ yd^2

Number of pieces fabric was cut = 4

Richard is given one of four pieces of equal-sized fabric.

Amount of fabric Richard was given = \frac14 \times \frac{35}{3}=\frac{35}{12}\ yd^2

Amount of fabric left with Richard = \frac56 \ yd^2

We need to find the amount of fabric Richards used for his project.

Solution:

Now we can say that;

amount of fabric Richards used for his project is equal to Amount of fabric Richard was given minus Amount of fabric left with Richard.

framing in equation form we get;

amount of fabric Richards used for his project = \frac{35}{12}-\frac56

Now we will make the denominator common using LCM we get;

amount of fabric Richards used for his project = \frac{35}{12}-\frac{5\times2}{6\times2} = \frac{35}{12}-\frac{10}{12}

Now Denominator is same so we will solve the numerator.

amount of fabric Richards used for his project  = \frac{35-10}{12}= \frac{25}{12}\ yds^2

\frac{25}{12}\ yds^2 can be rewritten as 2\frac{1}{12}\ yd ^2

Hence Richard used 2\frac{1}{12}\ yd ^2 of fabric for his project.

7 0
3 years ago
If you have 6.00 and apples selling for 88 cents a pound. How many apples can you buy?
Yuri [45]
6.81818181818 pounds of apples
3 0
3 years ago
Read 2 more answers
Every morning Jenna runs for 20 min . If Jenna runs 6 miles per hour , how far does she travel
DerKrebs [107]
20 minutes* (1 hour/ 60 minutes)* (6 miles/ 1 hour)= 2 miles.
(Note that the units cancel out so you end up getting the answer)

The final answer is 2 miles~
6 0
3 years ago
I need help on this lol
LUCKY_DIMON [66]

Answer:

D is your answer.

5 0
3 years ago
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