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2 years ago

The table shows values of a function f (x) . HELP

Mathematics

1 answer:

maw [93]2 years ago

4 0

Answer:

The average rate of change is 4

Step-by-step explanation:

The average rate of change of the function over the interval is given by the slope of the line that connects the points;

(5,-2) and (9,14)

The slope of a line given 2 points is calculated as;

change in y/change in x = (14- -2)/(9-5)

= 16/4

= 4

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What is the estimation of 102.3/4.7

attashe74 [19]

100/5 = 20.

But, I'm not really sure how you want to do this.

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2 years ago

The length of a rectangle is the sum of the width and one. The area direct angle 72 units. What’s the length, in units, of the r

insens350 [35]

Answer:

The length of the rectangle is of 9 units.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

Area of a rectangle:

A rectangle has width $w$ and length $l$ . The area is the multiplication of these measures, that is:

$A = wl$

The length of a rectangle is the sum of the width and one.

This means that $l = w+1$ , or $w = l - 1$

The area direct angle 72 units. What’s the length, in units, of the rectangle

We want to find the length. So

$wl = 72$

$(l-1)l = 72$

$l^2 - l - 72 = 0$

Quadratic equation with $a = 1, b = -1, c = -72$ . So

$\bigtriangleup = (-1)^{2} - 4(1)(-72) = 289$

$l_{1} = \frac{-(-1) + \sqrt{289}}{2*(1)} = 9$

$l_{2} = \frac{-(-1) - \sqrt{289}}{2*(1)} = -8$

Since the length is a positive measure, the length of the rectangle is of 9 units.

8 0

2 years ago

Solve x2 + 2x + 9 = 0

Keith_Richards [23]

$x^2+2x+9=0 \\ \\
a=1 \\ b=2 \\ c=9 \\ b^2-4ac=2^2-4 \times 1 \times 9=4-36=-32 \\ \\
x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-2 \pm \sqrt{-32}}{2 \times 1}=\frac{-2 \pm \sqrt{-16 \times 2}}{2}=\frac{-2 \pm 4i\sqrt{2}}{2}=-1 \pm 2i\sqrt{2}$

The answer is D.

8 0

2 years ago

Read 2 more answers

Irma needs to rent a car for a business trip from Phoenix to San Jose (720 miles one way). She will drive round trip and will be

cricket20 [7]

The cost per day is $65 per day, the total cost for 8days will be:
8×65
=520
suppose that E is the number of miles she can drive without exceeding $600.
Thus
0.24×E+520=600
hence solving for E we get
0.24E=600-520
0.24E=80
hence
E=80/0.24
E=333.3333
E~333

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2 years ago

Who has the right to levy taxes on the income of individuals and businesses by the ruling of the 16th Amendment of the Constitut

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Congress can levy taxes.

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