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lyudmila [28]
3 years ago
6

Solve the quadratic equation 3x^2 +x-5=0 Give your answer to 2 decimal places

Mathematics
1 answer:
Firdavs [7]3 years ago
5 0

This quadratic should be solved using the quadratic formula.

 

The quadratic formula is

 

(-b +/- sqrt(b2 - 4ac)) / (2a)       (Side note: The +/- means that you use the plus sign once, then recalculate again using the minus sign. You should get two answers this way.)

 

The numbers that we plug into the letters can be found from the general form of a quadratic equation

 

ax2 + bx + c

 

In your quadratic a = 3, b = 1, and c = -5. I'll let you try and solve the rest on your own. Whatever your answer is, round it off to two decimal places.

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Which function has the greatest rate of exponential growth?
Veronika [31]

Answer:

C

Step-by-step explanation:

Here, we want to find which of the expressions have the greatest rate of exponential growth.

The easiest way to go about this is have a substitution for the term t;

Let’s say t = 6

Thus;

h(t) = 1.18^1 = 1.18

K(t) = 0.375^6 = 0.002780914307

f(t) = 1.36^6 = 6.327518887936

g(t) = 0.86^6 = 0.404567235136

Another way to find this is to express each as a sum of 1

f(t) = (1+ 0.36)^t

g(t) = (1-0.14)^t

k(t) = (1-0.625)^t

We can see clearly that out of all the terms in the brackets asides 1, 0.36 is the biggest in value

4 0
3 years ago
Which expression equals a number that is NOT a rational number?
rewona [7]
  • \frac{3\pi.3^3}{7}  is not included as a rational number !

<u>Step-by-step explanation:</u>

Here we have , following expressions & we need to identify which of the following is not a rational number . Let's find out:

We know that , Rational Number : A number which can be expressed in form of p/q , where q is not equal to zero !

Here Expressions are:

  • \frac{3\pi . 3^3}{7\pi}  :

Let's evaluate this expression

⇒ \frac{3(\pi) ( 3^3)}{7(\pi)}

⇒ \frac{3^4}{7}

Therefore , It is a rational number ! .

  • \frac{-18}{5} :

Let's evaluate this expression

⇒ \frac{-18}{5}

Therefore , It is a rational number ! .

  • \frac{5}{3-7-9} :

Let's evaluate this expression

⇒ \frac{5}{3-16}

⇒ \frac{-5}{13}

Therefore , It is a rational number ! .

  • \frac{3\pi.3^3}{7} :

Let's evaluate this expression

⇒ \frac{3\pi.3^3}{7}

⇒ \frac{\pi.3^4}{7}

Therefore , It is not a rational number , as pi is included ! .

4 0
3 years ago
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Jessica has 180 inches of ribbon. How many yards of ribbon does she have?
anyanavicka [17]

Answer:

5 yards

Step-by-step explanation:

1 yard = 36 inches

yard to inches = multiply by 36

inches to yard = divide by 36

180/36 = 5 yards

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taurus [48]

Answer:

22.96

Step-by-step explanation:

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