Evaluate the function below for x=2.
F(x)=x^3+5x^2+1

Answers

Answer 1
Answer: 2^3=8.  2^2=4 5*4= 20.  Your answer is 8+20+1= 29

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if we have a geometric series with u1 = 2.1 and r= 1.06, what would the least value of n be such that Sn > 5543?

Answers

Answer:

  88

Step-by-step explanation:

Write the expression for the sum in the relation you want.

  Sn = u1(r^n -1)/(r -1) = 2.1(1.06^n -1)/(1.06 -1)

  Sn = (2.1/0.06)(1.06^n -1) = 35(1.06^n -1)

The relation we want is ...

  Sn > 5543

  35(1.06^n -1) > 5543 . . . . substitute for Sn

  1.06^n -1 > 5543/35 . . . .  divide by 35

  1.06^n > 5578/35 . . . . . . add 1

  n·log(1.06) > log(5578/35) . . . take the log

  n > 87.03 . . . . . . . . . . . . . . divide by the coefficient of n

The least value of n such that Sn > 5543 is 88.

At a local bodega, the cost of a bottle of juice at the corner store is$1.05, and the cost of a bag of chips is $1.10. What would it cost to get
8 bottles of juice and 4 bags of chips? What would it cost to get a
bottles of juice and y bags of chips?
Total cost, 8 bottles of juice and 4 bags of chips:
Total cost, x bottles of juice and y bags of chips:
y

Answers

Answer:

$12.80

Step-by-step explanation:

The cost to get 8 bottles of juice and 4 bags of chips will be:

= 8($.105) + 4($1.10)

= $8.40 + $4.40

= $12.80

The cost for x bottles of juice and y bags of chips will be:

= (1.05 × x) + (1.10 × y)

= 1.05x + 1.10y

Convert the polynomial equation y=(x+2)(x-6)(x+7) from factored form to general form

Answers

y = (x+2)(x-6)(x+7)

(x+2)(x+7)
x^2 - 6x + 2x - 12
x^2 - 4x - 12

(x^2 - 4x - 12)(x + 7)
x^3 + 7x^2 - 4x^2 - 28x - 12x - 84
x^3 + 3x^2 - 40x - 84

y = x^3 + 3x^2 - 40x - 84

y = (x + 2) (x -6) (x + 7) \n \n i.e, y = (x+2) (x^2 - x - 42) \n\n => y = x^3 + 3x^2 - 40x - 84

6x - 2y + x + 5y plz answer quick.

Answers

So,

6x + -2y + x + 5y

Collect Like Terms

7x + 3y

7x + 3y
so add like terms
6x-2y+x+5y=6x+x+5y-2y
7x+3y

Which of the following figures in a plane separates itinto half-planes?
F. A line
G. A ray
H. An angle
J. A point
K. A line segment

Answers

F. A line

Which of the following figures in a plane separates it into half-planes is a line. In addition, a line is the only given entity or object that can elicit an unlimited and infinite figure to separate the given assumed limitless plane thus, it will unceasingly divide the plane endlessly if given that the plane is unknown in measure and length. For example, a given figure of rectangle with an unknown length or measure, the only figure that can divide itself is the line perpendicularly speaking in its shape or position of the line.



Answer:

F. A line

Step-by-step explanation:

A line separates a plane into three parts the line and two half-planes.

What are the coordinates of the image (-3,-1) after a 90 counterclock wise e about the orgin and then translation 4 units up

Answers

1. The counterclockwise rotation by 90° about the origin has rule:

(x,y)→(-y,x).

Then

(-3,-1)→(1,-3).

2. Translation 4 units up has rule:

(x,y)→(x,y+4).

Then

(1,-3)→(1,1).

Answer: after composition of transformations the image point has coordinates (1,1).