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2 years ago

14

Find the multiplicative inverse of -2 in mod 7

1 answer:

Elis [28]2 years ago

6 0

Answer:

So something mod 7 is -2
Lets consider what mod does as a commands: If you have 7 and then mod it by 2 ie 7%2 you get 1
Essentially mod is seeing how many times a # goes into the other number and finding the remainder.
In this case we want the remainder of 2: -8%3 =-2
note there is also a mathematical procedural way to solve this.
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(Geometry Question) : Given the points A(-3, -4) and B(2, 0), find the coordinates of the point P on directed line segment AB th

Elena-2011 [213]

Answer-7:4

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2 years ago

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A company produces and sells widgets and gizmos. In January the company sold 350 items for a total of $9,000. If each widget sol

iren [92.7K]

Answer:

The company sold 100 widgets and 250 gizmos.

Step-by-step explanation:

Let $x_1$ be the number of widgets sold and $x_2$ be the number of gizmos sold.

We are told that the company sold 350 items. We can represent this information in an equation as:

$x_1+x_2=350...(1)$

We have been given that a each widget sold for $35 and each gizmo sold for $22. The company sold 350 items for a total of $9,000.

We can represent this information in an equation as:

$35x_1+22x_2=9,000...(2)$

From equation (1), we will get:

$x_2=350-x_1$

Substitute this value in equation (2):

$35x_1+22(350-x_1)=9,000$

$35x_1+7,700-22x_1=9,000$

$13x_1+7,700=9,000$

$13x_1+7,700-7,700=9,000-7,700$

$13x_1=1,300$

$\frac{13x_1}{13}=\frac{1,300}{13}$

$x_1=100$

Therefore, the company sold 100 widgets.

Substitute $x_1=100$ in equation (1):

$100+x_2=350$

$100-100+x_2=350-100$

$x_2=250$

Therefore, the company sold 250 gizmos.

3 0

2 years ago

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A set of mathematics exam scores are normally distributed with a mean of 80.280.280, point, 2 points and a standard deviation of

hichkok12 [17]

Answer:

0.3745

Step-by-step explanation:

Data

mean ( $\mu$ ): 80

standard deviation ( $\sigma$ ): 4

Normal distribution table is in figure attached .

$Z = \frac{x - \mu}{\sigma
}$

Z = (85 - 80)/4 = 1.25

Area below curve = 0.3944

Z = (82 - 80)/4 = 0.5

Area below curve = 0.0199

Proportion of exam scores between 82 and 85?

0.3944 - 0.0199 = 0.3745

5 0

2 years ago

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The sum of two numbers is 7, and their difference is 1. What are the two numbers?

HACTEHA [7]

I think the two numbers are four and three. Hope this helps.

5 0

2 years ago

Determine the rational zeros for the function f(x)=x^3+7x^2+7x-15

alexandr402 [8]

Answer:

1,-3,-5

Step-by-step explanation:

Given:

f(x)=x^3+7x^2+7x-15

Finding all the possible rational zeros of f(x)

p= ±1,±3,±5,±15 (factors of coefficient of last term)

q=±1(factors of coefficient of leading term)

p/q=±1,±3,±5,±15

Now finding the rational zeros using rational root theorem

f(p/q)

f(1)=1+7+7-15

=0

f(-1)= -1 +7-7-15

= -16

f(3)=27+7(9)+21-15

=96

f(-3)= (-3)^3+7(-3)^2+7(-3)-15

= 0

f(5)=5^3+7(5)^2+7(5)-15

=320

f(-5)=(-5)^3+7(-5)^2+7(-5)-15

=0

f(15)=(15)^3+7(15)^2+7(15)-15

=5040

f(-15)=(-15)^3+7(-15)^2+7(-15)-15

=-1920

Hence the rational roots are 1,-3,-5 !

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2 years ago

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