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3 years ago

Course Activity: Relationships Betwee

Mathematics

1 answer:

Alenkinab [10]3 years ago

5 0

Answer:

yes

Step-by-step explanation:

A rational number is in the form p/q where p and q are both integers and the denominator q is not equal to zero. This means that the set of all real numbers are rational numbers.

Since q can be any integer apart from zero, it means that all integers are rational numbers i.e for q = 1.

Hence 2 which can be written as fraction as 2/1 is a rational number since the denominator (q = 1) is a non zero number

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The equations given are in standard form. Put each equation in slope-intercept form. State the slope and the

rusak2 [61]

Answer:

3. $\displaystyle y = \frac{2}{5}x + 1\frac{2}{5}$

2. $\displaystyle y = -\frac{5}{7}x + 2$

1. $\displaystyle y = -2x + 4$

Step-by-step explanation:

3. 2x - 5y = −7

- 2x - 2x

__________

$\displaystyle \frac{-5y}{-5} = \frac{-2x - 7}{-5} \\ \\ y = \frac{2}{5}x + 1\frac{2}{5}$

2. 5x + 7y = 14

- 5x - 5x

__________

$\displaystyle \frac{7y}{7} = \frac{-5x + 14}{7} \\ \\ y = -\frac{5}{7}x + 2$

1. 6x + 3y = 12

- 6x - 6x

__________

$\displaystyle \frac{3y}{3} = \frac{-6x + 12}{3} \\ \\ y = -2x + 4$

I am joyous to assist you anytime.

8 0

3 years ago

I NNEEEDDDDDD HELPPPPP PLEASEEEE

NikAS [45]

Answer:

The small balloon bouquet uses 7 balloons and the large one uses

18 balloons.

Step-by-step explanation:

Let's say that small balloon bouquets are S and large balloon bouquets are L. For the graduation party the employee assembled 6 small bouquets and 6 large bouquets, the total number of balloon used is 150. To put the sentence into an equation will be:

6S + 6L= 150

S+L= 25 ----> 1st equation

For Father's Day, the employee uses 6 small bouquet and 1 large bouquet, the total number of balloons used is 60. The equation will be:

6S + 1L= 60

1L= 60- 6S ----> 2nd equation

We can solve the number of small balloon bouquet by substitute the 2nd equation into 1st. The calculation will be:

S+L = 25

S+ (60-6S)= 25

-5S= 25-60

-5S= -35

S= -35/-5

S=7

Then we can find L by substitute S value to 1st or 2nd equation.

S+L=25

7+L=25

L=18

Hope this helps ;)

3 0

3 years ago

Read 2 more answers

Which of the following is the product of the rational expression shown below

wolverine [178]

Option C: $\frac{x^{2}-9}{x^{2}-4}$ is the product of the rational expression.

Explanation:

The given rational expression is $\frac{x+3}{x+2} \cdot \frac{x-3}{x-2}$

We need to determine the product of the rational expression.

Product of the rational expression:

Let us multiply the rational expression to determine the product of the rational expression.

Thus, we have;

$\frac{(x+3)(x-3)}{(x+2)(x-2)}$

Let us use the identity $(a+b)(a-b)=a^2-b^2$ in the above expression.

Thus, we get;

$\frac{x^{2} -3^2}{x^{2} -2^2}$

Simplifying the terms, we get;

$\frac{x^{2}-9}{x^{2}-4}$

Thus, the product of the rational expression is $\frac{x^{2}-9}{x^{2}-4}$

Hence, Option C is the correct answer.

6 0

3 years ago

Can someone solve 8 = b - 1 + 8b STEP BY STEP PLEASE

andrew11 [14]

Answer:

8 = b - 1 + 8b

group like terms

8 + 1 = b + 8b

9 = 9b cus b standing alone me 1b

divide both side by 9

9 = 9b

9 9

b = 1

7 0

3 years ago

Let A and B be two disjoint events such that P(A) = .30 and P(B) = .60. What is P(A and B)? 0.18 0.72 0.90 0 none of the above

antiseptic1488 [7]

Answer:

Step-by-step explanation:

If two events are disjoing (aka mutually exclusive) that means that there is 0 overlap or the intersection equals 0

So the probability of A and B occuring is 0 (because P(A∩B)= 0)

4 0

3 years ago