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Zinaida [17]
3 years ago
12

Calculate the derivative of the function. hint [see example 1.] f(x) = 7x + x2

Mathematics
1 answer:
Leviafan [203]3 years ago
5 0
F’= 7+2x, plz mark my answer~
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Irrational conjugate theorem
podryga [215]

Answer:

The irrational conjugate theorem states that if a polynomial equation has a root (a + √b), then we can say that the conjugate of (a + √b), i.e. (a - √b) will also be another root of the polynomial.

Step-by-step explanation:

The irrational conjugate theorem states that if a polynomial equation has a root (a + √b), then we can say that the conjugate of (a + √b), i.e. (a - √b) will also be another root of the polynomial.

For example, if we consider a quadratic equation x² + 6x + 1 = 0, then two of its roots are - 3 + √8 and - 3 - √8 and they are conjugate of each other. (Answer)

7 0
3 years ago
Determine if the following triangle is a right triangle or not using the Pythagorean Theorem Converse. Triangle with side length
seraphim [82]

Answer:

A right triangle is a triangle in which one of the angles is a 90∘ angle. The "square" at the vertex of the angle indicates that it is 90 degrees. A triangle can be determined to be a right triangle if the side lengths are known.

6 0
3 years ago
Which of the following expressions is equivalent to 3p^4
olganol [36]
<span>Assuming that this is referring to the same list of options that was posted before with this question, the correct response was the first one, although I forget what it was. </span>
3 0
3 years ago
What is the y-value of the vertex of the function f(x) = –(x + 8)(x – 14)?
maxonik [38]

we have

f(x)=-(x+8)(x-14)

Convert to vertex form

f(x)=-(x+8)(x-14)\\f(x)=-( x^{2}-14x+8x-112) \\f(x)=-( x^{2}-6x-112)\\f(x)=-x^{2}+6x+112

we know that

the equation of a vertical parabola in vertex form is equal to

y=a(x-h)^{2} +k

where

(h,k) is the vertex

f(x)=-x^{2}+6x+112

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)-112=-(x^{2}-6x)

Complete the square. Remember to balance the equation by adding the same constants to each side

f(x)-112-9=-(x^{2}-6x+9)

f(x)-121=-(x^{2}-6x+9)

Rewrite as perfect squares

f(x)-121=-(x-3)^{2}

f(x)=-(x-3)^{2}+121

the vertex is the point (3,121)

therefore

<u>the answer is </u>

The y-value of the vertex is 121

8 0
3 years ago
Use the table to solve.
MAXImum [283]
$10 x 6 = 60
60 - 7 = 53
3 0
3 years ago
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