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MArishka [77]
3 years ago
12

Select the correct locations on each number line.

Mathematics
1 answer:
alexandr402 [8]3 years ago
4 0

Answer:

girl joi for help all

tmy-kvfr-koh

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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
Jason decided to look at new trucks. Jason found a used truck for 34,000 dollars. A new truck is 40,000 dollars so what percent
nexus9112 [7]

Answer:

Percent of rise of a new truck on a used truck  = 15%

Step-by-step explanation:

Let x be the percentage of saved money if Jason buying a used truck.

Given:

Price of the used truck = $34,000

Price of the new truck = $40,000

We need to find the percent of rise Jason saves on a used truck rather than buying a new truck

Solution:

Using a percentage formula.

percentage\ cost = \frac{(100-x)}{100}\times Original\ cost

Substitute Percentage cost = 34,000 and Original cost = 40,000 in above formula.

34000 = \frac{(100-x)}{100}\times 40000

34000 = (100-x)\times 400                    (\frac{40000}{100}=400)

Using cross multiplication rule.

(100-x)=\frac{34000}{400}

85=100-x

x = 100-85

x = 15%

Therefore, Jason used 15% rise of a new truck for a used truck.

6 0
3 years ago
What is the absolute value of -6?
qaws [65]

Answer:

6

Step-by-step explanation:

The absolute value of a non-negative number is the same number.

Example: The absolute value of 4 is 4.

If a number is negative, its absolute value is the same number, without the negative sign.

Example: The absolute value of -3 is 3.

6 0
3 years ago
Read 2 more answers
Find the length of the median and the missing base. Be sure to show all your work. NO LINKS!!!​
dezoksy [38]

Answer:

The bottom is  11

The median is  12

Step-by-step explanation:

The median is the average of the top and bottom

(13+ 2x-3) /2 = 4x-16

Combine like terms

(10+2x)/2 = 4x-16

Divide by 2

5+x = 4x-16

Subtract x from each side

5+x-x = 4x-16-x

5 = 3x-16

Add 16 to each side

5+16 = 3x-16+16

21 = 3x

Divide by 3

21/3 = 3x/3

7 =x

The bottom is 2x-3 = 2*7-3 = 14-3 = 11

The median is 4x-16 = 4*7-16 = 28 -16 = 12

7 0
3 years ago
Read 2 more answers
Help asap plsss ..lol
coldgirl [10]

Answer:

n = 3/7

Step-by-step explanation:

8 0
3 years ago
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