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jeka57 [31]
3 years ago
6

HELP ME PLEASE !!!!!!!

Mathematics
1 answer:
12345 [234]3 years ago
6 0

Answer:

93-30=3

Step-by-step explanation:

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Use vieta's theorem to solve the problems.
Mnenie [13.5K]

Using Vieta's Theorem, it is found that c = 72.

<h3>What is the Vieta Theorem?</h3>
  • Suppose we have a quadratic equation, in the following format:

y = ax^2 + bx + c

  • The roots are p and q.

The Theorem states that:

p + q = -\frac{b}{a}

pq = \frac{c}{a}

In this problem, the polynomial is:

x^2 - 17x + c

Hence the coefficients are a = 1, b = -17.

Since the difference of the solutions is 1, we have that:

p - q = 1

p = 1 + q

Then, from the first equation of the Theorem:

p + q = -\frac{b}{a}

1 + q + q = 17

2q = 16

q = 8

p = 1 + q = 9

Now, from the second equation:

pq = \frac{c}{a}

72 = c

c = 72

To learn more about Vieta's Theorem, you can take a look at brainly.com/question/23509978

6 0
2 years ago
Mai drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Mai drove hom
Vesna [10]

Answer:

Mai lives 384 miles away from the mountains

Step-by-step explanation:

Let d represent distance between Mai's house and mountains and r represent Mai's rate while going to mountains.

We have been given that there was heavy traffic on the way there, and the trip to mountains took 8 hours.

\text{Distance}}=\text{Time}\times \text{Speed}

d=8r...(1)

We are also told that when Mai drove home, there was no traffic and the trip only took 6 hours. Her average rate was 16 miles per hour faster on the trip home.

d=6(r+16)...(2)

Upon equating equation (1) and equation (2), we will get:

8r=6(r+16)

8r=6r+96

8r-6r=6r-6r+96

2r=96

\frac{2r}{2}=\frac{96}{2}

r=48

Upon substituting r=48 in equation (1), we will get:

d=8r\Rightarrow 8(48)=384

Therefore, Mai lives 384 miles away from the mountains.

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3 years ago
Approximately 32,200 citizens of a country died in automobile accidents in 2012. Express this toll in deaths per day.
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