How do I graph this solution using linear inequalities
1 answer:
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Answer:
x=3
Step-by-step explanation:
Given information: AC=32, AB=2x, BC=6x+8 and point B lies between A and C.
We need to find the value of x.
(Segment addition property)
Substitute the given values.
(Substitution)
Combine like terms.
(Simplification)
Subtract 8 from both sides.
(Subtraction property of equality)
Divide both sides by 8.
(Division property of equality)
Therefore, the value of x is 3.
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:
(this is where Jamie made mistake. -4 * -8 = +32. NOT -32.)
Add like terms
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.
Answer:
or ≈6.59
Step-by-step explanation:
We can first begin by simplifying each of the numbers with exponents. Recall that in a fraction exponent, the numerator is the power, while the denominator is the root.
Take for example. The '2' in the fraction means we must take the square of 25. √25 = 5.
The '3' in the fraction means we take the power, which means we must cube '5'.
5³ = 125. Therefore, = 125. Use this process for the other numbers:
The new fraction would look like:
Which simplifies to:
or ≈6.59