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astraxan [27]
3 years ago
6

What is the value of x?

Mathematics
1 answer:
dimulka [17.4K]3 years ago
8 0

Answer

12

Step-by-step explanation:

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For the polynomial function ƒ(x) = x4 − 12x3 + 46x2 − 60x + 25, find all local and global extrema.
rodikova [14]
\bf f(x)=x^4-12x^3+46x^2-60x+25\\\\
-------------------------------\\\\
\cfrac{df}{dx}=4x^3-36x^2+92x-60\implies 0=4x^3-36x^2+92x-60
\\\\\\
0=x^3-9x^2+23x-15\impliedby \textit{doing some synthetic division with 5}
\\\\\\
0=(x^2-4x+3)(x-5)\implies 0=(x-3)(x-1)(x-5)\\\\
-------------------------------\\\\
\begin{cases}
f(1)=0\leftarrow minimum&1,0\\
f(3)=16\leftarrow maximum&3,16\\
f(5)=0\leftarrow minimum&5,0
\end{cases}\impliedby \textit{3 extrema, locals and globals}
4 0
3 years ago
Graph the linear equation and answer each of the following questions. y=-2x-3 (A)What is the y-intercept?
balandron [24]
A) The Y-intercept of this equation is 3

B) The slope of this equation is 2

C) This equation has a positive slope

D) Starting from the Y-intercept, I simply went over to the right 1 box, and up 2 boxes

I hope this helps!

5 0
3 years ago
Solve for x in the equation x² - 4x - 9 = 29.
alexandr1967 [171]

Answer: First option.


Step-by-step explanation:

 1. To solve this problem you can applly the quadratic formula, which is shown below:

 x=\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}

2. The quadratic  equation is:

x^{2}-4x-9-29=0\\x^{2}-4x-38=0

3. Then:

a=1

b=-4

c=-38

4. Therefore, when you substitute these values into the quadratic formula, you obtain the following result:

x=\frac{-(-4)+/-\sqrt{(-4)^{2}-4(1)(-38)}}{2(1)}

x=2±√42


7 0
3 years ago
Read 2 more answers
32. Which of the following is horizontal ellipse
maria [59]

Answer:

  • b. 16x² + 25y² = 1

Step-by-step explanation:

Only one of them has a < b in ax² + by² = c formula, making its graph horizontal

All the rest are vertical, see attached

6 0
3 years ago
Seven subtracted from the quotient of a number and 2 is -6
Pachacha [2.7K]
N/2 -7 = -6

add 7 to both sides;
n/2 -7+7 = -6+7

n/2 = 1
multiply both sides by 2 (  or divide by 1/2 ) in order to get n by itself.

n/2 * 2/1 = 1 * 2/1

n = 2
5 0
3 years ago
Read 2 more answers
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