Answer:
Move the constant to the right. Step 3: Take half of the x-term coefficient and square it. Add this value to both sides. Step 4: Simplify right side. Step 5: Write the perfect square on the left. Step 6: Take the square root on both sides of the equation. Step 7: Solve for x. Solve equation x2 - 4x + 3 = 0.
Step-by-step explanation:
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:
8πcm² = 8pi cm²
Step-by-step explanation:
The formula for area of a sector = ½r²θ
Where r = radius = 6cm
θ = central angle = 4pi/9 in radians = 4π/9
Area of the sector = 1/2 × 6² × 4π/9
Area of the sector = (144π/18)cm²
Area of the sector = 8πcm²
Therefore, Area of the sector =
8πcm² = 8pi cm²
Answer: It’s already simplified.
You can’t group any of the digits as they all have different values.
Answer:
This represents the graph area above the line y = 4x - 5 shaded.
Step-by-step explanation:
y > 4x - 5 is an inequality. First we graph y = 4x - 5, which has y-intercept (0, -5) and slope 4. Next, we shade all of the area above this line (because the inequality y > 4x - 5 says that all y values are above 4x - 5).