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: the jar contains 29 dimes and 25 quarters.
Step-by-step explanation:
The worth of a dime is 10 cents. Converting to dollars, it becomes
10/100 = $0.1
The worth of a quarters is 25 cents. Converting to dollars, it becomes
25/100 = $0.25
Let x represent the number of dimes contained in the jar.
Let y represent the number of quarters contained in the jar.
A jar containing only dimes and quarters contains a total of 54 coins.. This means that
x + y = 54
The value of all the coins in the jar is $9.15. This means that
0.1x + 0.25y = 9.15 - - - - - - - - - - - 1
Substituting x = 54 - y into equation 1, it becomes
0.1(54 - y) + 0.25y = 9.15
5.4 - 0.1y + 0.25y = 9.15
- 0.1y + 0.25y = 9.15 - 5.4
0.15y = 3.75
y = 3.75/0.15 = 25
x = 54 - y = 54 - 25
x = 29
Answer:
x=−3/4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
435=−4x+285
Step 2: Flip the equation.
−4x+285=435
Step 3: Subtract 28/5 from both sides.
−4x+285−285=435−285
−4x=3
Step 4: Divide both sides by -4.
−4x−4=3−4
x=−34
Answer:
B
Step-by-step explanation:
Answer:
2/9
Step-by-step explanation:
To determine the fraction of students that walk to school, take the fraction of students that do not ride the bus and multiply by the fraction that walk
6/15* 5/9
Simplify the fractions
6/15 Divide the top and bottom by 3
2/5
2/5 * 5/9 = 2/9
