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2 years ago

Which statements are true about the polynomial 4x3 – 6x2 + 8x – 12?

Mathematics

1 answer:

olga2289 [7]2 years ago

7 0

1. correct- factor: 4

2. correct- factor: 4

3. Incorrect- The polynomial is not prime, and the factored polynomial is 4(2x-3)

4. Incorrect

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Select all the points that are on the line through (0 5) and (2 8) A.(5 11) B.(5 10) C.(6 14) D.(30 50) E.(40 60)

mihalych1998 [28]

Answer:

Options C. and D. are correct.

Step-by-step explanation:

Let $(x_1,y_1)=(0,5),\,(x_2,y_2)=(2,8)$

Equation of a line is given by $y-y_1=(\frac{y_2-y_1}{x_2-x_1})(x-x_1)$

$y-5=(\frac{8-5}{2-0})(x-0)\\\\y-5=\frac{3}{2}x\\\\2y-10=3x\\3x-2y+10=0$

Put $(x,y)=(5,11)$

$3(5)-2(11)+10=15-22+10=3\neq 0$

Put $(x,y)=(5,10)$

$3(5)-2(10)+10=15-20+10=5\neq 0$

Put $(x,y)=(6,14)$

$3(6)-2(14)+10=18-28+10=0$

Put $(x,y)=(30,50)$

$3(30)-2(50)+10=90-100+10=0$

Put $(x,y)=(40,60)$

$3(40)-2(60)+10=0\\120-120+10=10\neq 0$

So, points $(6,14),\,(30,50)$ satisfy the equation $3x-2y+10=0$

Therefore,

points $(6,14),\,(30,50)$ lie on the line through $(0,5)$ and $(2,8)$

Options C. and D. are correct.

8 0

2 years ago

How do I round 0.3 to the nearest thousandth

Luda [366]

0.3 is 3 tenths.
The order of "ths" is tenths, hundredths, thousandths.
Since there are no numbers after the 3, you simply have to add 2 zeros to make it 300 thousandths.

0.300<span />

6 0

2 years ago

3+(4+5) = ( 3+4 ) +5.THIS IS AN EXAMPLE OF THE ---------OF WHOLE

navik [9.2K]

Answer:

Step-by-step explanation:

The problem is clearly addition, so we can rule out B and C. Associative property is the movement of the parentheses, whereas commutative property is the movement or reorganization of the numbers. The parentheses moved in this problem, so it is associative. I suggest reviewing these properites, they come in handy later and are good to know :)

8 0

2 years ago

Read 2 more answers

What is the approximate circumference of a circle with radius 3?

mart [117]

I’m guessing C, but I’m not for sure

6 0

2 years ago

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What is the correct answer?

garik1379 [7]

Answer: