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Veronika [31]
3 years ago
10

Karen and Dale and Tom sent a total of 84 messages during the weekend. Dale sent six fewer messages and Karen and Tom sent four

times as many as Karen. How many did they send each.
Mathematics
1 answer:
yuradex [85]3 years ago
3 0

Answer:

Karen: 15; Dale: 9; Tom: 60

Step-by-step explanation:

"Karen and Dale and Tom sent a total of 84 messages during the weekend."

k + d + t = 84

"Dale sent six fewer messages than Karen"

d = k - 6

"Tom sent four times as many as Karen."

t = 4k

Substitute k - 6 for d and 4k for t in the first equation.

k + d + t = 84

k + k - 6 + 4k = 84

6k - 6 = 84

6k = 90

k = 15

d = k - 6 = 16 - 6 = 9

t = 4k = 4(15) = 60

Answer: Karen: 15; Dale: 9; Tom: 60

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<h2>Hello!</h2>

The answer is:

The quadratic function that fits the given picture is:

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<h2>Why?</h2>

We can solve the problem and find the correct function that fits the curve below by finding which function intercepts the y-axis at -5 (we can see it from the picture), also, we need to look for a function that represents a parabola opening upwards. We need to remember that when a parabola is opening upwards, its quadratic term coefficient is negative.

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The quadratic function that fits the given picture is:

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Have a nice day!

Note: I have attached a picture for better understanding.

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