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densk [106]
2 years ago
15

The expression 2.5 + 2t gives the cost, in dollars, of t tulips at a flower store. Joanna has $14.00.

Mathematics
1 answer:
Elena-2011 [213]2 years ago
6 0

Answer:

5 tulips.

Step-by-step explanation:

Given:

The expression for the cost of the tulips is Cost=2.5+2t

Where, t is the number of tulips.

Now, Joanna has \$ 14.00.

So, number of tulips that can be bought with the above amount can be obtained by substituting \$ 14.00 for cost. This gives,

Cost=2.5+2t\\14=2.5+2t\\2t=14-2.5\\2t=11.5\\t=\frac{11.5}{2}=5.75 \approx 5.

As the number of tulips cannot be in decimals or fractions, so the maximum number of tulips that can be bought will be 5.

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Answer:  The two roots are x = 3/2 and x = -2

=========================================================

Explanation:

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The -1 being the coefficient of the x term.

This means you need to change the -3x and 4x to 3x and -4x respectively. The other inner boxes are correct.

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Refer to the diagram below to see one way to fill out the box method, and that helps determine the factorization.

If we place a 2x to the left of -2x^2, then we need an -x up top because 2x*(-x) = -2x^2

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So we have the factor -x-2 along the top

The last thing missing is the -3 to the left of 3x. Note how -3*(-x) = 3x in the left corner and -3*(-2) = 6 in the lower right corner.

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The two factors are (2x-3) and (-x-2) which leads to the factorization (x+3)(-x+2)

The last thing to do is set each factor equal to 0 and solve for x

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