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scoray
2 months ago
6

Anna made an error in determining the polynomial equation of smallest degree whose roots are -4,-2, -

Mathematics
1 answer:
zzz [12.3K]2 months ago
8 0

Answer:

Refer to the explanation

Step-by-step explanation:

Ana began her work effectively by multiplying factors to arrive at:\

(x+4)(x+2)(2x+1)(x-2)=0

She accurately multiplied (x+2)(x-2) through the difference of two squares obtaining: x^2-4

Unfortunately, she erred in her multiplication for (x+4)(2x+1) and incorrectly arrived at x^2+9x+4, missing the coefficient of 2.2x^2+9x+4Thus, the correct second step should be:

(x^2-4)(2x^2+9x+4)The subsequent step will then be:

2x^4+9x^3+4x^2-8x^4-36x-16=0This reduces to

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$8,400
Explanation:
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Remaining balance after 10 months = $6900
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1 month ago
Triangle QRS is a right triangle with the right angle at vertex R. The sum of m∠Q and m∠S must be equal to 45°. greater than 45°
AnnZ [12381]

Answer:

     The angles m∠Q and m∠S together equal 90°

Step-by-step explanation:

A right angle measures 90°.

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2 months ago
A mouse traveled a total distance of StartFraction 3 Over 24 EndFraction of a mile in a maze over the past 3 hours. The mouse tr
Svet_ta [12734]

Detailed analysis:

The scenario mentions that a mouse covered a total of 3/24 miles over a span of 3 hours. The mouse traveled an identical distance during each hour. To find out how far the mouse went in one hour, we need to divide 3/24 miles by 3. Thus,

d=\dfrac{\dfrac{3}{24}}{3}\\\\d=\dfrac{3}{24}\times \dfrac{1}{3}\\\\d=\dfrac{1}{24}\ \text{hours}

Matt's calculation indicates that the outcome is 3/8 hours. When he divides 3/24 by 3, he should take the reciprocal of 3, but he doesn't, resulting in 9 as the numerator and 24 as the denominator. The fraction 9/24 simplifies to 3/8. However, the accurate answer should have been 1/24 hours.

3 0
2 months ago
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What is the equation of the line graphed below?
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Eliminate 1/2x from both sides.

y = -1/2x + 3

The y-intercept (where the line intersects the y-axis) is three, and the slope (the change in y over the change in x) is -1/2.

Hope this helps!
8 0
2 months ago
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