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3 years ago

Please help apex ansers

Mathematics

1 answer:

goblinko [34]3 years ago

6 0

The factorization of A is y = (x - 8)(x + 7).
The factorization of B is y = (x + 1)(x - 4)(x - 5)

In order to find these, you must first find where each graph crosses the x-axis. In the first problem it does so at 8 and -7. In order to find the correct parenthesis for those, you need to write it out as a statement and then solve for 0.

x = 8 ---> subtract 8 from both sides
x - 8 = 0
This means we use (x - 8) in our factorization.

You then need to repeat the process until you have all the pieces. In the second problem, there will be 3 instead of 2 since it crosses the axis 3 times.

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Creat an expression without parentheses that is equivalent to 4(6x+x)

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4 years ago

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A scale drawing of a square has a side length of 6 millimeters. The drawing has a scale of 1 mm : 7 km. Find the actual perimete

zvonat [6]

Answer:

The real perimeter is:

$P= 24 mm *\frac{7 km}{1mm}= 168 km$

And the area would be:

$P = 36mm^2 *\frac{(7km)^2}{(1mm)^2} = 1764 km^2$

Step-by-step explanation:

For this case we know one side of a square given 6mm.

We can begin calculating the perimeter for the scale figure with this formula:

$P = 4x = 4*6 mm =24 mm$

The area for this case is given by:

$A = x^2 = 6mm^2 = 36 mm^2$

And we know that the drawing has a scale of 1 mm : 7 km and if we convert the perimeter to km we got:

$P= 24 mm *\frac{7 km}{1mm}= 168 km$

And the area would be:

$P = 36mm^2 *\frac{(7km)^2}{(1mm)^2} = 1764 km^2$

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3 years ago

What is the remainder of (x^3-6x^2-9x+3)/(x-3)

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4 years ago

Gabe Amodeo, a nuclear physicist, needs 60liters of a 40%acid solution. He currently has a 30 % solution and a 60% solution. H

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4 years ago

Roll the number cube to find the observed frequency. Which statements are true? Check all that apply

ch4aika [34]

Answer:

(a) and (c)

Step-by-step explanation:

Given

See attachment for complete question

Required

Select all true statements

First, calculate the total observed frequency;

$Total = 11 + 16 + 14 + 20 + 12 + 17$

$Total = 90$

(a): Relative frequency of 4 is 2/9

Relative frequency is calculated by:

$RF= \frac{Observed\ Frequency}{Total}$

For roll 4

$Observed\ frequency = 20$

So, the relative frequency is:

$RF = \frac{20}{90}$

Simplify

$RF = \frac{2}{9}$

(a) is true

(b): Experimental probability of 3 greater than its theoretical probability

The experimental probability is its relative frequency;

For roll 3

$Observed\ frequency = 14$

The experimental probability is:

$Pr = \frac{14}{90}$

Simplify

$Pr = \frac{7}{45} = 0.156$

To calculate the theoretical probability, w have:

$S = \{1,2,3,4,5,6\}$ ---- sample space

$n(S)= 6$

$n(3) = 1$ --- number of times 3 occur

The theoretical probability is:

$Pr = \frac{1}{6} = 0.167$

The theoretical probability is $greater\ than\ the$ experimental probability.

(b) is false

(c): Experimental probability of 2 greater than its theoretical probability

Using the explanations in (b), we have:

For roll 2

$Observed\ frequency = 16$

The experimental probability is:

$Pr = \frac{16}{90}$

Simplify

$Pr = \frac{8}{45} = 0.178$

To calculate the theoretical probability, we have:

$n(S)= 6$

$n(2) = 1$

The theoretical probability is:

$Pr = \frac{1}{6} = 0.167$

The experimental probability is $greater\ than\ the$ theoretical probability.

(c) is true

(d): Relative frequency of 5 is 2/13

For roll 5

$Observed\ frequency = 12$

The relative frequency is:

$RF = \frac{12}{90}$

Simplify

$RF = \frac{2}{15}$

(d) is true

7 0

3 years ago