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2 years ago

State the degree and leading coefficient of each polynomial in one variable -12-8x^2+5x-21x^7

Mathematics

1 answer:

leonid [27]2 years ago

4 0

Answer:

The degree is 7 and the leading coefficient is -21.

Step-by-step explanation:

The degree of an equation is found using the highest exponent on the variable in the equation.

-12-8x^2+5x-21x^7 has the term x^7 so its degree is 7

The leading coefficient is the coefficient of the term with the highest degree. The coefficient of x^7 is -21.

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2 years ago

Ex 4.8 14) integrate 3^(2x-1)

sesenic [268]

Take the integral:

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$\large\begin{array}{l} \textsf{Substitute}\\\\ \mathsf{2x-1=u\quad\Rightarrow\quad 2\,dx=du}\\\\\\ \textsf{so (i) becomes}\\\\ =\mathsf{\displaystyle\frac{1}{2}\int\!3^u\,du}\\\\ =\mathsf{\dfrac{1}{2}\cdot \dfrac{1}{\ell n\,3}\,3^u+C}\\\\ =\mathsf{\dfrac{1}{2\,\ell n\,3}\,3^{2x-1}+C} \end{array}$

$\large\begin{array}{l} \boxed{\begin{array}{c}\mathsf{\displaystyle\int\!3^{2x-1}\,dx=\frac{1}{2\,\ell n\,3}\,3^{2x-1}+C} \end{array}}\qquad\checkmark \end{array}$

If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2154165

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Tags: integrate indefinite integral substitution exponential base logarithm log ln composite integral calculus

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3 years ago

Carly is buying deli meat for her lunches this week. Turkey is on sale for $5.80 per pound. If Carly buys 1.25 pounds of turkey,

alisha [4.7K]

Answer:

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Step-by-step explanation:

We know that:

1 pound of turkey = $5.80

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I really hope this helps!

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2 years ago

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frozen [14]

$\bf \begin{cases}
h(x)=(f\circ g)(x)\\
h(x)=\sqrt{x+5}\\
f(x)=\sqrt{x+2}
\end{cases}\\\\
-------------------------------\\\\
(f\circ g)(x)\implies f[\ g(x)\ ]\implies f[\ g(x)\ ]=\sqrt{g(x)+2}\qquad thus
\\\\\\
\sqrt{g(x)+2}=(f\circ g)(x)=h(x)=\sqrt{x+5}\qquad therefore
\\\\\\
\sqrt{g(x)+2}=\sqrt{x+5}\impliedby \textit{squaring both sides}\\\\\\
g(x)+2=x+5\implies g(x)=x+5-2\implies \boxed{g(x)=x+3}$

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2 years ago

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