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Savatey [412]
3 years ago
12

A positive number is 5 less than 3 times another. The sum of the smaller number and 4 times the larger is 97. Find the smaller n

umber
Mathematics
1 answer:
Gre4nikov [31]3 years ago
5 0

Answer:

  9

Step-by-step explanation:

The first sentence of the problem can be interpreted two ways. The way that makes the second sentence work out correctly is ...

  'a larger number is 5 less than 3 times a smaller number'

Using x for the smaller number, the two equations that can be written are ...

  • 3x -y = 5
  • x +4y = 97

Adding 4 times the first equation to the second, we get ...

  4(3x -y) + (x +4y) = 4(5) +(97)

  13x = 117 . . . . . simplify

  x = 9 . . . . . . . . divide by 13

The smaller number is 9.

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Anderson uses the discriminant to correctly find the number of real solutions of the quadratic equation one-halfx2 4x 8 = 0. whi
amid [387]

Anderson could provide 0.5x2 + 4x + 8 = 0 has exactly one real root if the discriminant is 0,

<h3>What is quadratic equation?</h3>

Any equation that can be rewritten in standard form as where x represents an unknown, a, b, and c represent known numbers, and where a 0 is true is a quadratic equation. As there is no ax2 term when a = 0, the equation is linear rather than quadratic.

<h3>What is discriminant?</h3>

A polynomial's discriminant is a quantity that depends on the coefficients and enables for some root attributes to be inferred without actually computing them. It is actually a polynomial function of the original polynomial's coefficients.

<h3>According to the given information:</h3>

0.5x^2 + 4x + 8 = 0

The discriminant is computed utilizing:

d = b^2 - 4ac

Thus, we have:

d = 4^2 - 4 * 0.5 * 8

Evaluate

d = 0

The equation has only one real root since the discriminant is 0,

To know more about discriminant visit:

brainly.com/question/16369636

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3 0
1 year ago
Answer please please ​
Vlad1618 [11]
The answer is H) the zeros is where it crosses the X axis hope this helps
5 0
3 years ago
Rewrite the the expression using as few terms as possible. X^2+5x+4x+20
Effectus [21]

Answer:

x^2 + 9x + 20

Step-by-step explanation:

x^2 + 5x + 4x + 20

x^2 + 9x + 20

all u have to do is combine liked terms

8 0
3 years ago
PLEASE ANSWER THIS QUESTION !! WILL GIVE BRAINLIEST !! 20 POINTS !!
Reil [10]

Answer:

(2x+1)(x+7)

Step-by-step explanation:

Guess and Check

(2x+7)(x+1) = 2x^2+9x+7. NOPE

(2x+1)(x+7) = 2x^2+15x+7. YES

8 0
3 years ago
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dmitriy555 [2]

Answer:

98

Step-by-step explanation:

it would be 70 percent of 140

3 0
3 years ago
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