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kvv77 [185]
3 years ago
7

Algebraically determine the values of h and k to correctly complete the identity stated below 3x^3-6x^2+4x-2=(x-2)(3x^2+hx+4)+k

Mathematics
1 answer:
Marrrta [24]3 years ago
4 0
We want to find h and k so that
3x³ - 6x² + 4x - 2 ≡ (x-2)(3x² + hx + 4) + k

Expand the right side.
(x-2)(3x² + hx + 4) + k
= 3x³ + hx² + 4x - 6x² - 2hx - 8 + k
= 3x³ + (h-6)x² + (4 - 2h)x + k - 8

Match coefficients of x²:
h - 6 = -6
h = 0

Match coefficients of x:
4 - 2h = 4    (Correct because h=0)

Match constants.
k - 8 = -2
k = 6

Answer:  h=0, k=6

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4 0
4 years ago
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A runner’s goal is to complete a mile in 4 minutes or less. The runner’s speed is 20 feet per second. Does the runner meet the g
Scilla [17]

Answer:

no, because the runner is short by 480 feet

Step-by-step explanation:

there are 5280 feet in 1 mile

5280 feet= 1 mile                             20 feet= 1 second (times by 240)

                                                               4800 feet=            240 seconds

he is 5280-4800= 480 feet less

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3 0
3 years ago
What is the slope of the line that is parallel to a line whose equeation is 3y = -4x + 2 ?
Novay_Z [31]
-----------------------
Find Slope :
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3y = -4x + 2
y = -4/3x + 2/3

Slope = - 4/3

-----------------------
Answer: -4/3
-----------------------
8 0
3 years ago
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I need help I don't understand this one math is my hardest subject
aksik [14]
In order to name the coordinates, you read the X axis first and then the Y axis. So A would be (-4, 4). B would be (-4, 6). C would be (2, 4). 

They are not congruent because each angle is a different measure. 

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3 years ago
If a bus driver get paid $20,000 a year and he works 35 weeks a year how many weeks will it take for him to earn $2000
alexgriva [62]

Answer:

3.5?

Step-by-step explanation:

2,000 is 10% of 20,000

3.5 is 10% of 35



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3 years ago
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