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sertanlavr [38]

3 years ago

12

Use graphing calculator to find the zeros and local maximum ad minimum of polynomial functions.

1 answer:

Elanso [62]3 years ago

6 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$f(x)=x^{3}-5x^{2}+5x-1$

using a graphing tool

see the attached figure

The local maximum is the point $(0.61.0.42)$

The local minimum is the point $(2.72,-4.27)$

The zeros of the function are $(0.27,0)$ , $(1,0)$ , $(3.73,0)$

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Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7, 2), and is parallel to the graph x + 3y = -5.

Elena-2011 [213]

Answer:

$B - A = -6$

Step-by-step explanation:

Given

Point: (-7,2)

x + 3y = -5

Required

Find B- - A in Ax + By = 3

To start with; we need to calculate the slope of x + 3y = -5

$x + 3y = -5$

Subtract x from both sides

$x - x + 3y = -5 - x$

$3y = -5 - x$

Divide both sides by 3

$\frac{3y}{3} = -\frac{5}{3} - \frac{x}{3}$

$y = -\frac{5}{3} - \frac{x}{3}$

The slope of the line is the coefficient of x

Slope = $- \frac{1}{3}$

The question says line Ax + By = 3 is parallel to line x + 3y = -5; This means that they have the same slope of $- \frac{1}{3}$

Having calculated the slope, next is to calculate the equation of the line using the following formula;

$m = \frac{y - y_1}{x - x_1}$

Where m is the slope; m = $- \frac{1}{3}$ ; $(x_1, y_1) = (-7,2)$

Substitute these values in the formula above; the formula becomes

$-\frac{1}{3} = \frac{y - 2}{x - -7}$

$-\frac{1}{3} = \frac{y - 2}{x +7}$

Cross Multiply

$-1(x+7) = 3(y-2)$

Open brackets

$-x - 7 = 3y - 6$

Add x to both sides

$x - x - 7 = 3y - 6 + x$

$-7 = 3y - 6 +x$

Add 6 to both sides

$-7 + 6 = 3y -6 + 6 + x$

$-1 = 3y + x$

Multipby both sides by -3

$-3(-1) = -3(3y + x)$

$3 = -9y - 3x$

$-9y - 3x = 3$

$-3x - 9y = 3$

Comparing the above to Ax + By = 3

$Ax = -3x\\A = -3$

$By = -9y\\B = -9$

$B - A = -9 - (-3)$

$B - A = -9 + 3$

$B - A = -6$

3 0

3 years ago

Suppose 4-year-olds in a certain country average 3 hours a day unsupervised and that most of the unsupervised children live in r

natta225 [31]

Answer:

D)the time (in hours) a 4-year-old spends unsupervised per day

Step-by-step explanation:

Given that 4-year-olds in a certain country average 3 hours a day unsupervised and that most of the unsupervised children live in rural areas, considered safe

X - the time (in hours) a 4-year-old spends unsupervised per day

X is N(3,1.8)

$P(X$

4 0

3 years ago

mariana tinha 169 balas ela prometeu dar a raiz quadrada de suas balas a seu primo igor Depois de dar as balas a seu primo,deu 3

koban [17]

√169= 13

169-13 = 156

156 - 37 = 119

Mariana ficou com 119 balas.

3 0

3 years ago

Given 0 below, if GH and JK are congruent, what is the measure of KOJ?

alexira [117]

Answer:

D

Step-by-step explanation:

Since GH and JK are congruent then the central angles are congruent, that is

∠KOJ = ∠HOG = 68° → D

8 0

3 years ago

Read 2 more answers

Which expression is NOT equivalent to the other three? A) −9 − 7n + 16n B) 9(n − 9) Eliminate C) n − 9 + 8n D) 9n − 9

yuradex [85]

Answer:

The expression is not equivalent to other three is 9(n-9) .

Option (B) is correct .

Step-by-step explanation:

Take first expression

= -9 -7n + 16n

= 9n-9

Take second expression

= 9(n-9)

= 9 × n - 9 × 9

= 9n - 81

Take third expression

= n-9+8n

= 9n-9

Take fourth expression

= 9n-9

Therefore expression is not equivalent to other three is 9(n-9) .

Option (B) is correct .

6 0

3 years ago

Read 2 more answers