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2 years ago

A polynomial is to be constructed that will touch the x axis at most 5 times. What is the minimum degree of the polynomial?

1 answer:

8 0

Touch the x axis means the zeroes (y=0) of theh equation aka the roots aka the solutions
ok, so remember that the degree of the polynomial will be the maximum number of roots so therefor
minimum degreee is 5th degree

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olga worked 37.5 hours last week qt the library and earned $12.50 an hour. if she gets a $2.50 per hour raise, how many hours wi

Airida [17]

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2 years ago

Find the value of x, y, and z.

egoroff_w [7]

Answer:

x = 61°

y = 61°

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Step-by-step explanation:

In the given triangle, measures of two sides are equal. So, measures of angles opposite to them are also equal.

Therefore,

$x + x + 58 \degree = 180 \degree \\ \\ 2x = 180 \degree - 58 \degree \\ \\ 2x = 122 \degree \\ \\ x = \frac{122 \degree}{2} \\ \\ x = 61\degree \\ \\ y = 61\degree \\ ( \angle s \: in \: the \: alternate \: segment) \\ \\ z = 58\degree \\ ( \angle s \: in \: the \: alternate \: segment) \\$

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2 years ago

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USPshnik [31]

Answer:

${x}^{3} + 13 {x}^{2} + 34x - 56$

Step-by-step explanation:

$(x + 7)( {x}^{2} + 6x - 8) \\ = x ( {x}^{2} + 6x - 8) + 7( {x}^{2} + 6x - 8) \\ = {x}^{3} + 6 {x}^{2} - 8x + 7 {x}^{2} + 42x - 56 \\ = {x}^{3} + 6 {x}^{2} + 7 {x}^{2} + 42x - 8x - 56 \\ = {x}^{3} + 13 {x}^{2} + 34x - 56 \\$

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2 years ago

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Angles A and B are complementary and in ratio of 3:6. What is the measure of each angle

pashok25 [27]

complementary angles add up to 90°, so therefore we know that ∡A + ∡B = 90°, and also they are in a ratio of 3:6.

$\bf \cfrac{A}{B}=\cfrac{3}{6}\implies \cfrac{A}{B}=\cfrac{1}{2}\implies 2A=\boxed{B}
\\\\[-0.35em]
~\dotfill\\\\
A+B=90\implies A+\boxed{2A}=90\implies 3A=90\\\\\\ A=\cfrac{90}{3}\implies \blacktriangleright A=30 \blacktriangleleft
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
2(30)=B\implies \blacktriangleright 60=B \blacktriangleleft$

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2 years ago

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Fantom [35]

Answer:

x > -1

Step-by-step explanation:

Divide each term by 17 and simplify.

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Davinia.

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2 years ago

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