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Nataliya [291]
3 years ago
15

Hey can you please help me posted picture of question :)

Mathematics
2 answers:
cupoosta [38]3 years ago
5 0
Answer:
The roots of the equation are -4 and -5

Explanation:
The general form of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
3x² + 27x + 60 = 0
By comparison, we could find that:
a = 3
b = 27
c = 60

Now, to get the roots we would use the quadratic formula shown in the attached image.

By substituting, we would find that:
either x = \frac{-27+ \sqrt{(27)^2-4(3)(60)} }{2(3)}  = -4

or x = \frac{-27- \sqrt{(27)^2-4(3)(60)} }{2(3)} = -5

This means that the roots of the equation are -4 and -5

Hope this helps :)

AysviL [449]3 years ago
4 0
Sorry dont really know :/
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Which of the following represents the function f(x) = x2 − 14x − 1 in vertex form? Identify the vertex.
RUDIKE [14]
The vertex is (7,-50) 
***rewrite in standard form***
8 0
3 years ago
Please help me, it's due today. I'll give 86 points to someone who answers and writes the problem step by step.
andre [41]

Answer:

here go the answer hope it help

Step-by-step explanation:

4 0
2 years ago
How many cubic feet of water are in the pool?
galben [10]

Answer:

It depends on the size of the

Step-by-step explanation:

Like the width ,length and all that

give me the size of the pool and will assist

8 0
3 years ago
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The dimensions of the tank are 50 cm by 32 cm by 20 cm. The tank is full of water and sand. The ratio of the volume of water to
Sauron [17]

Given:

Dimensions of a tank are 50 cm by 32 cm by 20 cm

The tank is full of water and sand

Ratio of volume of water to the volume of sand is 5:1

To find:

Volume of water in the tank in liters

Solution:

Without loss of generality, let,

Length of tank = 50 cm

Breadth of tank = 32 cm

Height of tank = 20 cm

Then, we have,

Total Volume of the tank = Length * Breadth * Height

\Rightarrow Total Volume = 50*32*20 cc

\Rightarrow Total Volume = 32000 cc

It is given that,

Volume of water : Volume of sand = 5:1

\Rightarrow (Volume of water)/(Volume of sand) = 5/1

Cross multiplying, we have,

Volume of sand = (Volume of water)/5

It is also given that the tank is full of water and sand. This implies that,

Volume of water + Volume of sand = Total Volume

Using the value, we obtained, we get,

Volume of water + (Volume of water)/5 = Total Volume

\Rightarrow (6 * Volume of water)/5 = Total Volume

Plugging in the value of total volume, we get,

\Rightarrow (6 * Volume of water)/5 = 32000 cc

\Rightarrow Volume of water = \frac{32000*5}{6} cc

\Rightarrow Volume of water \approx 26,666.6667 cc

We know that,

1 cc = 0.001 liters

\Rightarrow 26,666.6667 cc = (26666.6667 * 0.001) liters

\Rightarrow 26,666.6667 cc \approx 26.667 liters

Thus, Volume of water in the tank is approximately 26.667 liters

Final Answer:

Volume of water in the tank (in liters) is approximately 26.667 liters

4 0
2 years ago
9 - 10x = 2x + 1 - 8x
Furkat [3]

Answer:

x=2

Step-by-step explanation:

9 - 10x = 2x + 1 - 8x

9-10x=-6x+1

Subtract 9 from both sides:

9-10x-9=-6x+1-9

-10x=-6x-8

Add 6x to both sides:

-10x+6x=-6x-8+6x

-4x=-8

Divide both sides by -4:

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

x=2

8 0
3 years ago
Read 2 more answers
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