Jamie used the distributive property to find the product of s(t) and h(t). His work was marked incorrect. Identify Jamie's mistake. What advice would you give Jamie to avoid this mistake in the future.

Answers

Answer 1

Complete Question:

Jamie used the distributive property to find the product of s(t) and h(t). His work was marked incorrect. Identify Jamie's mistake. What advice would you give Jamie to avoid this mistake in the future?

s(t)•h(t)= (3x-4)(2x-8)

= 6x² - 24x -8x - 32

= 6x² - 32x - 32

Answer:

Jamie made a mistake in his second line (6x² - 24x -8x - 32), by wrongly multiplying the operation signs. The last term should be +32, not -32.

Advice: Jamie should take note of the rule that applies when multiplying signs.

Step-by-step Explanation::

To find out where exactly Jamie made mistake, let's find the product of the given functions, step by step:

s(t)•h(t)= (3x-4)(2x-8)

Using distributive property, do the following:

[tex] 3x(2x - 8) -4(2x - 8) [/tex]

[tex] 3x*2x -3x*8 -4*2x -4*-8 [/tex]

[tex] 6x^2 - 24x - 8x + 32 [/tex] (this is where Jamie made mistake. -4 * -8 = +32. NOT -32.)

Add like terms

[tex] 6x^2 - 32x + 32 [/tex]

Jamie made a mistake in multiplying negative × negative. The last term in "6x² - 24x -8x - 32", should be +32. Negative × negative = +.

Therefore, it is advisable for Jamie to always take note of the rule that applies when multiplying signs.


Related Questions

Solve absolute value equation 2|x-3|-8=2

Answers

Answer:

[tex]x=8, -2[/tex]

Step-by-step explanation:

[tex]2|x-3|-8=2[/tex]

[tex]2|x-3|=10[/tex]

[tex]|x-3|=5[/tex]                               [tex]|x-3|=-5[/tex]

[tex]x-3=5[/tex]                                [tex]x-3=-5[/tex]

[tex]x=8[/tex]                                      [tex]x=-2[/tex]

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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Test 2

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Test 3

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Test 4

?

What does Sam need to score on the fourth test to ensure that she will have an

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%

Answers

Answer:

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Step-by-step explanation:

The following data were obtained from the question:

Test 1 (T₁) = 83%

Test 2 (T₂) = 91%

Test 3 (T₃) = 88%

Test 4 (T₄) =?

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We can obtain the score of 4th test by doing the following:

AVERAGE = (T₁ + T₂ + T₃ + T₄) /4

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Cross multiply

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Collect like terms

360 – 262 = T₄

T₄ = 98%

Therefore, Sam need to score 98% in the 4th test in order to have an average score of 90%.

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The video game cost after six years is $16.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

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