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san4es73 [151]
3 years ago
8

Ted has $6.00. He will buy a notebook for $1.50 and some pencils. Each pencil costs $0.25. Write and solve an equation to determ

ine the maximum number of pencils, p, Ted can buy. *
Mathematics
1 answer:
marusya05 [52]3 years ago
7 0
So the notebook costs 1.50 and then add in the cost of pencils which would be p (for the number of pencils) times $0.25. And the entire costs have to be less than or equal to $6.00. So the equation would look like this:
1.50 + 0.25p = 6.00
Solve for p:
4.50 = 0.25p
p = 18
Ted can buy 18 pencils and one notebook with his $6.00.
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What are the roots of the equation 4x^2+24x+45=0 in simplest a+bi form?
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Answer:

X=(-1.5, 7.5)

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-45 + -24x + 4x2 = 0

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(-3 + -2x)(15 + -2x) = 0

 

Set the factor '(-3 + -2x)' equal to zero and attempt to solve:

Simplifying

-3 + -2x = 0

Solving

-3 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + -2x = 0 + 3

Combine like terms: -3 + 3 = 0

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Simplifying

x = -1.5  

Set the factor '(15 + -2x)' equal to zero and attempt to solve:

Simplifying

15 + -2x = 0

Solving

15 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-15' to each side of the equation.

15 + -15 + -2x = 0 + -15

Combine like terms: 15 + -15 = 0

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Divide each side by '-2'.

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Simplifying

x = 7.5

Solution

x = {-1.5, 7.5}

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