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NISA [10]
3 years ago
7

Solve the system by using a table. {3y = 4x + 7 {-4x - 4y = 28

Mathematics
1 answer:
dmitriy555 [2]3 years ago
5 0

Answer:

The two equations given in the question are:

3y = 4x + 7

- 4x - 4y = 28

Now, let us subtract 3y and 7 from both sides of the first equation

3y - 3y - 7 = 4x + 7 - 3y - 7

- 7 = 4x - 3y

This can be written as 

4x - 3y = - 7

Now let us set the two equations in table form

4x - 3y = - 7

- 4x - 4y = 28

We get from the above deduction,

- 7y = 21

y = - 21/7

y = - 3

Now let us put the value of y in the first equation, we get

3y = 4x + 7

3 (- 3) = 4x + 7

- 9 = 4x + 7

4x = - 9 - 7

4x = - 16

x - - 4

So (x,y) comes out to be (-4, -3). The correct option among all the options given in the question is the first option or option "A".

please add options

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Step-by-step explanation:

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Answer:

A. Continuous, B. Discrete, C. Continuous, D. Continuous, E. Continuous.

Step-by-step explanation:

A. Area is a continuous unit. Then, the floor area of a kitchen is a continuous random variable.

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3 years ago
If a price decreases by 20% I can calculate 20% of the price and subtract it from the original price or I can calculate it in on
Irina-Kira [14]

Answer:

both statements are fine

Step-by-step explanation:

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For example:

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in the first case it would be:

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in the second case it is:

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6 0
2 years ago
Move two choices to the blanks to correctly complete the sentences.
Pavel [41]

Answer:

(A) There should have been 5 outcomes of HT

(B) The experimental probability is greater than the theoretical probability of HT.

Step-by-step explanation:

Given

S = \{HH,HT,TH,TT\} -- Sample Space

n(S) = 4 --- Sample Size

Solving (a); theoretical outcome of HT in 20 tosses

First, calculate the theoretical probability of HT

P(HT) = \frac{n(HT)}{n(S)}

P(HT) = \frac{1}{4}

Multiply this by the number of tosses

P(HT) * n= \frac{1}{4} * 20

P(HT) * n= 5

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Solving (b); experimental probability of HT

Here, we make use of the table

P(HT) = \frac{n(HT)}{n(S)}

P(HT) = \frac{6}{20}

P(HT) = 0.30 ---- Experimental Probability

In (a), the theoretical probability is:

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P(HT) = 0.25 ---- Experimental Probability

By comparison;

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Step-by-step explanation:

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