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12345 [234]
3 years ago
11

Is x+1 a factor of the function f(x)=2x⁵-4x⁴+9x³-x+13?Show work supporting your answer.

Mathematics
1 answer:
algol [13]3 years ago
4 0

Answer:

(x+1) will not be factor of given polynomial

Step-by-step explanation:

We have given polynomial f(x)=2x^5-4x^4+9x^3-x+13

We have to find that  is (x+1) factor of the given polynomial

If (x+1) will be the factor of the polynomial then x= -1 will be the root of the polynomial

And if we put x =-1 in the pronominal then then its value will be zero

f(-1)=2(-1)^5-4(-1)^4+9(-1)^3-(-1)+13=-2-4-9+1+13=-1

So (x+1) will not be factor of given polynomial

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One hundred sixty-two guests attended a banquet. Three servers provided their beverages. The first server helped three times as
Rudiy27

Answer:

  • Below given.

Step-by-step explanation:

  • 162 total guests.
  • 3 servers

Let the number of guests the second server helped be x.

then the first server helped 3x

then the third server helped [(3x)*2] = 6x

Equation in total:

                               6x + 3x + x = 162

                                10x = 162

                                   x = 16.2

  • First server helped: 3 * 16.2 = 49 guests
  • Second server helped: 16 guests
  • Third server helped: 6x = 6(16.2) = 97 guests
6 0
2 years ago
Part of the graph of the function f(x) = (x - 1)(x + 7) is
algol [13]

Answer:

True: B, C and D

Step-by-step explanation:

The graph of the function is shown in the attached diagram.

The vertex of the parabola (parabola is the graph of the function f(x)) is at (-3,-16), because

x_v=\dfrac{1+(-7)}{2}=-3\\ \\y_v=f(-3)=(-3-1)(-3+7)=-4\cdot 4=-16

So, option A is false and option B is true.

As you can see from the graph, the function is increasing for all x>-3, thus option C is true.

The graph is positive for x<-7 and x>1 and negative for -7<x<1, so option D is true and option E is false.

8 0
3 years ago
Read 2 more answers
Question 28 of 42
lina2011 [118]

Answer with explanation:

Properties of Rectangle

1. Opposite sides are equal and parallel.

2. Diagonals are equal and bisect each other.

3. Adjacent Sides are Perpendicular to each other.

→If two lines are parallel their slopes are equal and if two Lines are perpendicular, their product of slopes is -1.

→A Rectangle is a Quadrilateral also.

→Adjacent sides are perpendicular ,so , their slopes can't be equal.Product of their slopes should be equal to ,-1.

⇒Slope of AB × Slope of BC = -1

⇒Also, Slope of AB × Slope of BC = -1

Slope of AB × Slope of AD = -1

⇒ Slope of AD × Slope of CD = -1

Slope of CB × Slope of CD = -1

Option B And Option C

are statement which proves that polygon ABCD is not a rectangle.

5 0
3 years ago
Find the measure of the indicated angle to the nearest degree
netineya [11]
The correct answer is 24
8 0
3 years ago
Read 2 more answers
2. In the following figure, triangle ABC and triangle DEF are similar. What is the value of x ? Triangle ABC and triangle DEF ar
gavmur [86]
FD/CA = EF/BC
x/(8.5 mm) = (12 mm)/(4 mm)
x = (8.5 mm)*(12/4)
x = 25.5 mm . . . . . . . . . . . the 3rd selection
5 0
3 years ago
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