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3 years ago

3. Explain why the polynomial 34 + 5x3 - 7x2 + 3x has a degree 3 and not 4.

Mathematics

2 answers:

Pepsi [2]3 years ago

7 0

2x6 + 4x5 + x4 + 11x3 + 2x2 + 4x + 4

Ira Lisetskai [31]3 years ago

4 0

Answer:

See explanation below

Step-by-step explanation:

The degree of a polynomial is the LARGEST power at which the variable/s appear in their expression.

Notice that in the given polynomial, the highest power for the variable x is 3, from the term 5 x^3.

There is no other term with higher power for x.

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Differentiate Vx(x + 2) with respect to x.

Travka [436]

Answer:

$y'= \frac{3x+2}{2\sqrt{x} }$

General Formulas and Concepts:

Calculus

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Product Rule: $\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Chain Rule: $\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Step-by-step explanation:

Step 1: Define

$y=\sqrt{x} (x+2)$

Step 2: Rewrite

$y=x^{\frac{1}{2} } (x+2)$

Step 3: Differentiate

Product Rule [Basic Power/Chain Rule]: $y'= \frac{1}{2} x^{\frac{1}{2} -1}(x+2)+x^{\frac{1}{2} }(1)$
Simplify: $y'= \frac{1}{2} x^{\frac{-1}{2}}(x+2)+x^{\frac{1}{2}}$
Rewrite: $y'= \frac{x+2}{2\sqrt{x} } + \sqrt{x}$
Add: $y'= \frac{3x+2}{2\sqrt{x} }$

7 0

3 years ago

Rewrite logt (96) – logt (8) in compact form. Hint: Use the quotient rule in reverse

S_A_V [24]

log( 96 ) - log( 8 ) =

log( 96 ÷ 8 ) =

log( 12 )

3 0

3 years ago

Solve the equation.(please ~u~) 9 = 6y + 33

sladkih [1.3K]

9 = 6y + 33
9 - 33 = 6y
6y = 9 - 33
y = $\frac{ - 24}{6} = - 4$
y = -4

3 0

3 years ago

Read 2 more answers

The estimate of the population proportion should be within plus or minus 0.02, with a 90% level of confidence. The best estimate

Rudiy27

Answer:

The sample size required is 910.

Step-by-step explanation:

The confidence interval for population proportion is:

$CI=\hat p\pm z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }$

The margin of error is:

$MOE=z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }$

Given:

$\hat p = 0.16\\MOE= 0.02\\Confidence\ level =0.90$

The critical value of z for 90% confidence level is:

$z_{\alpha /2}=z_{0.10/2}=z_{0.05}=1.645$ *Use a standard normal table.

Compute the sample size required as follows:

$MOE=z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }\\0.02=1.645\times \sqrt{\frac{0.16(1-0.16)}{n} }\\n=\frac{(1.645)^{2}\times 0.16\times (1-0.16)}{(0.02)^{2}} \\=909.2244\\\approx910$

Thus, the sample size required is 910.

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4 years ago

Can a quadrilateral have 4 obtuse angels

Viefleur [7K]

Yes, the shape is a very rare shape that not many people know about

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3 years ago

3. Explain why the polynomial 34 + 5x3 - 7x2 + 3x has a degree 3 and not 4.​

3. Explain why the polynomial 34 + 5x3 - 7x2 + 3x has a degree 3 and not 4.