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SVETLANKA909090 [29]
3 years ago
13

Which describes the number and type of roots of the equation 4x^3-6x^2+15x+2=0?

Mathematics
1 answer:
pashok25 [27]3 years ago
3 0

Answer: Non of the option.

Step-by-step explanation:

The given equation is

4x^3 - 6x^2 + 15x + 2 = 0

Let's test 1, if it's one of the root. I.e

If x = 1

4 - 6 + 15 + 2 = 15

Positive 1 is not a root to the equation

If x = - 1

-4 - 6 - 15 + 2 = - 23

Negative 1 is not a root

If x = 2

4x8 - 6×4 + 15×4 + 2

32 - 24 + 30 + 2 = 40

Positive 2 is not a root

If x = - 2

4×(-8) - 6×4 - 15×2 + 2

-32 - 24 - 30 + 2 = -84

Negative 2 is not a root

If x = 3

4×27 - 6×9 + 15×3 + 2

108 - 54 + 45 + 2 = 101

Since non of them tend to zero, non of the option is a root of the equation

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Pavel [41]

Answer:

y = 6

Step-by-step explanation:

To write the equation of a line, calculate the slope between points (-4,y) and (-2,8). Substitute m = 1 and solve for y.

m = \frac{y_2-y_1}{x_2-x_1}\\\\ 1 = \frac{y-8}{-4--2}\\\\ 1 =\frac{y-8}{-2}\\\\-2=y-8\\\\6=y

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3 years ago
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The answer is parallelograms :-)
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Find q if p = -12 and the quotient p/q = -3.
Klio2033 [76]

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The answer is B) 4

Explanation:

A negative times a negative equals a positive so options A and C are wrong.

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Can someone help me with this page please I have an exam tomorrow, I need to remember the answers unfortunately :)
zimovet [89]

Answer:

1. B. ∠2 and ∠6

2. 50°

3. Option 1, Option 5, and Option 6.

4. 133°

<u>Work for question 4:</u>

180°-47° = 133°

Step-by-step explanation:

1.

Alternate means the angles are on different sides of the transversal (horizontal line in this case). Interior means they are between the parallel lines (lines a and b in this case). (∠2 and ∠6) and (∠3 and ∠7) are the alternate interior angles but only the first is an option.

2.

∠10 = ∠8+∠7 (corresponding angles so they are congruent)

∠10 is 140° and ∠8 is a right angle

140-90 = 50

∠7 = 50°

∠4 = 50° (∠7 and ∠4 are vertical angles so they are congruent)

3.

Sense all angles of a triangle add up to 180 and the ratio of angles is 3:3:6 the we can find the angle with the equation x+x+2x=180

Simplify.

4x=180

Solve by dividing 4 from both sides

x=45

so it is a 45, 45, 90 triangle. (right triangle because the 90 and icoceles because other 2 angles are congruent so option 5 is correct)

m∠J= 45°

m∠K= 45° (Option 1 is correct)

m∠L= 90° (Option 6 is correct)

4.

I honestly don't see how you can solve this without making assumptions so I will make assumptions.

Assuming the whole figure is symmetrical vertically ∠1 is congruent to the same spot on the right side of the shape. This angle would be supplementary to the angle of the angle outside of the shape adjacent on the right making the angle (which is corresponding, therefore congruent to ∠2) 133°.

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C

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Both of the y= make upward parabolas

It is also going into the positive direction so it is x = \frac{1}{4}y^2

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