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bagirrra123 [75]
3 years ago
6

Craig had a budget of 84 dollars to spend on books and movies. He bought six books at x dollars each and three movies at 12 doll

ars each. Model Craig's situation with an inequality, and solve for x.
What can be interpreted about the solution of the inequality?
Mathematics
1 answer:
RideAnS [48]3 years ago
6 0

Answer: (3)12 + 6x = 84

Step-by-step explanation:

We know he definitely bought 3 books for $12 each so we immediately put that in the equation. Then we add that to the unknown (6 books times however much he bought them for) and then we equal it to 84 (his budget). Now we do 3 x 12 which is 36. Our new equation is 36 + 6x = 84. 84 - 36 = 48 so we know 6x = 48. Now divide 48 by 6 to get rid of the 6 and we learn that the variable equals 8. So, x = 8. We now know that he bought 6 books at 8 dollars each.

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Write algebraic expressions to represent the following:
Alborosie

Answer:

a) x + y

b) m x 7 or 7m

c) m x 3 or 3m

d) \frac{n - 3}{4}

Step-by-step explanation:

a) the sum of x and y

- the sum most likely always means addition

b) the product of m and 7

- the product usually means multiplucation

c) the cost of 3 movie tickets at m dollars each

- so your getting 3 movie tickets at $m

the total would be m + m + m which is the same as mutiplying m by 3

d) 3 less than n, all divided by 4

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6 0
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Answer:

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Step-by-step explanation:

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Sorting Quadratic Function Discriminants
nataly862011 [7]

The number of zeros of the quadratic functions, considering their discriminant, is given as follows:

  • discriminant = 0: 1 Real number solution.
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<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>

A quadratic equation is modeled by:

y = ax^2 + bx + c

The discriminant is:

\Delta = b^2 - 4ac

The solutions are as follows:

  • If \mathbf{\Delta > 0}, it has 2 real solutions.
  • If \mathbf{\Delta = 0}, it has 1 real solutions.
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Hence, for the given values of the discriminant, we have that:

  • discriminant = 0: 1 Real number solution.
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  • discriminant = 3: 2 Real number solutions.
  • discriminant = 2: 2 Real number solutions.
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  • discriminant = -4: 0 Real number solutions.

More can be learned about quadratic functions at brainly.com/question/24737967

#SPJ1

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