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Gala2k [10]
2 years ago
12

Is x + 3 a factor of the polynomial 2x^3 + 5x - 3?

Mathematics
1 answer:
Lapatulllka [165]2 years ago
5 0

Answer: n = - 6

Step-by-step explanation:

Given (x + h) is a factor of a polynomial f(x) then f(- h) = 0

Here

f(x) = x³ + 2x² - 5x + n and (x + 3) is a factor then f(- 3) = 0 , that is

f(- 3) = (- 3)³ + 2(- 3)² - 5(- 3) + n = 0 , so

- 27 + 2(9) + 15 + n = 0

- 27 + 18 + 15 + n = 0

6 + n = 0 ( subtract 6 from both sides )

n = - 6

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(V2.00)<br>Rewrite f(x) = -2(x - 3)2 + 2 from vertex form to standard form.<br>​
Mashutka [201]

Answer:

The standard form of the quadratic equation is f(x)=-2x^{2}+12x-16

Step-by-step explanation:

we know that

The standard form of a quadratic equation is

f(x)=ax^{2}+bx+c

we have

f(x)=-2(x-3)^{2}+2

convert to standard form

f(x)=-2(x-3)^{2}+2\\f(x)=-2(x^{2} -6x+9)+2\\f(x)=-2x^{2}+12x-18+2\\f(x)=-2x^{2}+12x-16

6 0
3 years ago
How does dividing mixed number compare with dividing fractions?
Orlov [11]
Dividing mixed numbers is when you take a mixed number divided by a mixed number and make then fractions. Here's an example:
(Example)~5 1/5 divided by 3 1/3
5x5=25+1=26. 26/5
3x3=9+1=10/3
26/5 divided by 10/3= 26/5 multiplied by 3/10= 78/50
Dividing Fractions is when you turn 2 fractions and make them into a multiplication problem. Here's an example:
(Example)~ 2/3 divided by 4/8
2/3 multiplied by 8/4
2/3 x 8/4= 16/12~ Which turns into 1 4/12
5 0
2 years ago
Find the missing length of the triangle.<br> 12 cm<br> 15 cm
Rashid [163]

Answer: 9

Step-by-step explanation:

5 0
2 years ago
Victor has saved $89.25 for the bicycle that he wants. The bicycle costs $129.85. Victor
serious [3.7K]

Answer:

Victor's equation did not correctly model the problem.

The equation that correctly modeled the problem:

$129.85-$89.25=$40.60

Step-by-step explanation:

The amount required for bicycle purchase by Victor is $129.85 out of which $89.25 has been saved,in other words,the balance required for Victor to reach his target purchase price is the difference between the total cost of $129.85 and the $89.25 already saved.

The balance required=$129.85-$89.25=$40.6

This shows that the equation put forward by Victor is wrong.

An equation that correctly represents the problem is the difference between the target savings and the amount already saved as stated above

5 0
3 years ago
100 POINTS FOR WHOEVER ANSWER THIS QUESTION FULLY!!!
natulia [17]

Answer:

  • Yes, diagonals bisect each other

Step-by-step explanation:

<em>See attached</em>

Plot the points on the coordinate plane

Visually, it is seen that the diagonals bisect each other.

We can prove this by calculating midpoints of AC and BD

<u>Midpoint of AC has coordinates of:</u>

  • x = (1 - 1)/2 = 0
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<u>Midpoint of BD has coordinates of:</u>

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As per calculations the origin is the bisector of the diagonals.

7 0
3 years ago
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