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Sergeu [11.5K]
3 years ago
11

How many solution does -6(x+7) =-4x-2 have

Mathematics
2 answers:
vitfil [10]3 years ago
6 0

Answer:

Only one solution and its x = −20

Step-by-step explanation:

Alenkinab [10]3 years ago
3 0

Answer:

Step-by-step explanation:

The easiest way to determine the answer to your question is to evaluate the

discriminant

For a quadratic in the form:

y

=

a

x

2

+

b

x

+

c

the

discriminant

) is equal to

b

2

−

4

a

c

For your example

4

x

2

+

8

x

+

3

=

0

The

discriminant

is

Δ

=

8

2

−

4

(

4

)

(

3

)

2

(

4

)

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The Turtle and Achilles compete. They start at the same time from the same place. Achilles runs at a speed of 13 mph while the T
grandymaker [24]

Answer:

2 minutes.  

Step-by-step explanation:

Let t be the time taken in competition and the distance covered by Achilles be x miles.

We have been given that when Achilles reaches the finish line, the Turtle is 2/5 of a mile behind him. This means that distance covered by turtle will be: x-\frac{2}{5}.

Achilles runs at a speed of 13 mph while the Turtle moves at a speed of 1 mph.

Since we know that \text{Time}=\frac{\text{Distance}}{\text{Speed}}, so we can set two equations for time taken by Achilles and turtle as:

t=\frac{x}{13}...(1)

t=\frac{(x-\frac{2}{5})}{1}...(2)

From equation (1) we will get,

x=13t

Upon substituting this value in equation (2) we will get,

t=\frac{13t-\frac{2}{5}}{1}    

Let us have a common denominator.  

t=\frac{\frac{65t-2}{5}}{1}

t=\frac{65t-2}{5}

Upon multiplying both sides of our equation by 5 we will get,

5t=5\times \frac{65t-2}{5}

5t=65t-2

5t-65t=65t-65t-2

-60t=-2

t=\frac{-2}{-60}

t=\frac{1}{30}

So, the competition took 1/30 hour, let us convert our given time in minutes.

\frac{1}{30}\text{ hour}\times \frac{60\text{ minutes}}{\text{hour}}

\frac{1}{30}\times 60\text{ minutes}

2\text{ minutes}  

Therefore, the competition took 2 minutes.


8 0
3 years ago
Siena draws a map of her flower garden. She wants to plant roses 6 feet away from the marigolds and 5 feet away from the lavende
lyudmila [28]

(-3 , 2)

(3 , -2)

(-2 , 3)

(2 , -3)

Its one of these but idk witch one sry bout that

7 0
3 years ago
13 The Lozano's chartered a boat over the holiday
pashok25 [27]

Answer:

$460.25

Step-by-step explanation:

350 + .065(350) + .25(350)

= 350 + 22.75 + 87.5

$460.25

8 0
3 years ago
Danny charges 35$ for 3 hours of swimming lessons. Martin charges 24$ for 2 hours of swimming lessons. Who offers the better dea
polet [3.4K]
The 35$ for 3 hours because for 1 hour it's 11.66 while the one for the 24$ for 2 hours is 12$ for 1 hour
6 0
4 years ago
Read 2 more answers
Dan buys pure silver to make jewelry. The graph shows the relationship between the amount of money Dan spent on pure silver and
Luda [366]
The answer is quite straightforward...

That's $56 per 80 grams.

($56)/(80g)

Explanation:

\left( { x }_{ 1 },{ y }_{ 1 } \right) =\left( 0,0 \right) \\ \\ \left( { x }_{ 2 },{ y }_{ 2 } \right) =\left( 80,\quad 56 \right) \\ \\ \therefore \quad \frac { Rise }{ Run } =\frac { 56-0 }{ 80-0 } =\frac { 56 }{ 80 }
4 0
3 years ago
Read 2 more answers
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