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2 years ago

Ax + by = a - b bx - ay = a+ b by elimination

2 answers:

5 0

Answer: x = 1, y = -1

Step-by-Step Explanation:

As the answer involves many steps, I’ve taken a pic of my working. Please check the attached photo.

melisa1 [442]2 years ago

4 0

$ax + by = a - b \: \: \: ...(i)\\ \\ bx - ay = a+ b \: \: \: ...(ii) \\ \\$

Multiply equation (i) with a and equation (ii) with b ,

${a}^{2} x + aby = {a}^{2} - ab \: \: \: ...(iii)\\ \\ {b}^{2} x - aby = ab + {b}^{2} \: \: \: ...(iv)$

Adding (iii) and (iv) , we get ,

$( {a}^{2} + {b}^{2} )x = {a}^{2} + {b}^{2} \\ \\ x = 1$

Now , from (i) ,

$ax+by=a−b \\ \\ a+by=a−b\\ \\ by=−b \\ \\ y=−1$

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laiz [17]

Answer:

B) 0.02

Step-by-step explanation:

Use the Binomial Theorem

$\displaystyle P(X=x)=\binom{n}{x}p^xq^{n-x}\\\\P(X=4)=\binom{30}{4}(0.30)^4(1-0.30)^{30-4}\\\\P(X=4)=\frac{30!}{4!(30-4)!}(0.30)^4(0.70)^{26}\\ \\P(X=4)=\frac{30!}{4!(26)!}(0.30)^4(0.70)^{26}\\ \\P(X=4)=\frac{30*29*28*27}{4*3*2*1}(0.30)^4(0.70)^{26}\\ \\P(X=4)=27405(0.30)^4(0.70)^{26}\\\\P(X=4)\approx0.0208$

We have the probability of success, $p=0.30$ , and the probability of failure, $q=1-0.30=0.70$ . The binomial coefficient, $\binom{n}{k}$ , represents the amount of possible combinations that $k$ items can be chosen out of $n$ items, with its respective formula $\frac{n!}{k!(n-k)!}$ .

Hence, the best choice for the probability that 4 students chosen at random from the class of 30 that want the next test to be on Monday will be option B, 0.02

7 0

2 years ago

If you left $25.00 on your table for a $21.50 meal, what was the percent of the tip?

Nesterboy [21]

Answer: 3.5% with a 3.50 Tip

Reason: 25.00 - 21.50 = 3.50

4 0

3 years ago

Read 2 more answers

A polynomial function upper P left parenthesis x right parenthesis with rational coefficients has the given roots. Find two addi

mylen [45]

Given that a polynomial function P(x) has rational coefficients.

Two roots are already given which are i and 7+8i,

Now we have to find two additional roots of P(x)=0

Given roots i and 7+8i are complex roots and we know that complex roots always occur in conjugate pairs so that means conjugate of given roots will also be the roots.

conjugate of a+bi is given by a-bi

So using that logic, conjugate of i is i

also conjugate of 7+8i is 7-8i

Hence final answer for the remaining roots are (-i) and (7-8i).

5 0

3 years ago

Select all of the following tables which represent y as a function of x.x 5 10 11y 3 9 15x 5 10 11y 3 9 9x 5 10 10y 3 9 15

11Alexandr11 [23.1K]

Answer:

Table 1 and 2 represent a function

Step-by-step explanation:

Given

Table 1

x 5 10 11

y 3 9 15

Table 2

x 5 10 11

y 3 9 9

Table 3

x 5 10 10

y 3 9 15

Required

Determine which of the tables represent that y is a function of x

For a relation to be a function; the x values must be unique.

In other words, each x value must not be repeated;

Having said that;

Analyzing Table 1

Table 1

x 5 10 11

y 3 9 15

Note that the x rows are unique as no value were repeated;

Hence, Table 1 is a function

Table 2

x 5 10 11

y 3 9 9

Note that the x rows are unique as no value were repeated;

Hence, Table 2 is a function

Table 3

x 5 10 10

y 3 9 15

Note that the x rows are not unique because 10 was repeated twice;

Hence, Table 3 is not a function

7 0

3 years ago

Solve for X: -2(x+3)=-2(x+1)-4

vodomira [7]

Answer:

All real numbers are solutions.

Step-by-step explanation:

3 0

3 years ago

Ax + by = a - b bx - ay = a+ b by elimination ​

Ax + by = a - b bx - ay = a+ b by elimination