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3 years ago

What is the leading coefficient of the function f(x)= 3x^5+6x^4-x-3

Mathematics

1 answer:

Natali5045456 [20]3 years ago

4 0

3. The leading coefficient of the function f(x)= 3x⁵+6x⁴-x-3 is 3.

For the function f(x)= 3x⁵+6x⁴-x-3 , the highest power of x is 5, so the degree is 5. The leading term is the term containing that degree, 3x⁵. The leading coefficient is the coefficient of that term, 3.

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Remember to show work and explain. Use the math font.

vichka [17]

Answer:

$\large\boxed{1.\ f^{-1}(x)=\sqrt[12]{3^x}}\\\\\boxed{2.\ f^{-1}(x)=\sqrt[4]{3^x}}\\\\\ \boxed{3.\ f^{-1}(x)=\sqrt[3]{4^{7-x}}}$

Step-by-step explanation:

$(a^n)^m=a^{nm}\\\\\log_ab=c\iff a^c=b\\\\a^{\log_ax}=x\\\\n\log_ab=\log_ab^n\\\\\log_ab+\log_ac=\log_a(bc)\\============================\\\\1.\\y=3\log_3x^4\to y=\log_3(x^4)^3\to y=\log_3x^{12}$

$2.\\y=\log_3x^4\\\\\text{Exchange x and y. Solve for y:}\\\\\log_3y^4=x\Rightarrow3^{\log_3y^4}=3^x\Rightarrow y^{4}=3^x\\\\y=\sqrt[4]{3^x}\\-------------------------$

$3.\\y=-\log_4x^3+7\\\\\text{Exchange x and y. Solve for y:}\\\\-\log_4y^3+7=x\qquad\text{subtract 7 from both sides}\\\\-\log_4 y^3=x-7\qquad\text{change the signs}\\\\\log_4y^3=7-x\Rightarrow4^{\log_4y^3}=4^{7-x}\\\\y^3=4^{7-x}\Rightarrow y=\sqrt[3]{4^{7-x}}$

7 0

3 years ago

The sum of 3 consecutive integers is 90. Find the largest integer if x is the smallest integer.

____ [38]

Answer:

Step-by-step explanation:

x, x+1, x+2

x + x + 1 +x + 2 = 90

3x + 3 = 90

-3 -3

3x = 87

/3 /3

x = 29

29 + 2 = 31

3 0

3 years ago

Given: 3x - 5 = 4 (2x – 15)<br> Prove: x = 11<br> Statement<br> Reason

Shalnov [3]

Step-by-step explanation:

3x-5=8x-60

55=5x

x=11

6 0

3 years ago

Find the distance between each pair of points <br>L(-7,0) ,Y(5,9)

Sedbober [7]

Answer: The distance is 15

Step-by-step explanation:

To find the distance between L and Y find the difference in the x and y coordinates then square them and add them to find their square root.

-7-5= -12

0-9 = -9

12^2 + 9^2 = d^2 where d is the distance

144 + 81 = d^2

225 = d^2

d= $\sqrt{225}$

d= 15

3 0

3 years ago

How to solve for the answer

yarga [219]

A.step 1 because it should be x^2 not 2x

3 0

3 years ago