MATHEMATICS HIGH SCHOOL

Solving Linear Systems: Using Substitution
x=3y-4
3y - 4x = 6
someone pls help

Answers

Answer 1

Answer:

Answer:

x = -2/3

y = 10/9

Step-by-step explanation:

3y - 4x = 6

x=3y-4

Substitute the second equation into the first for x

3y - 4( 3y-4) =6

3y - 12y +16 = 6

Combine like terms

-9y +16 = 6

Subtract 16 from each side

-9y +16-16 = 6-16

-9y = -10

Divide by -9

-9y/-9 = -10/-9

y = 10/9

x = 3y -4

x =3(10/9) -4

=10/3 - 12/3

=-2/3

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Round 82290 times 240

Answers

19,749,600 is the correct answer. according to calculator

The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditions must be true?a. P(B|A) = y
b. P(A|B) = y
c. P(B|A) = x
d. P(A and B) = x + y

e. P(A and B) = x/y

P(A)

Answers

The right answer for the question that is being asked and shown above is that: "d. P(A and B) = x + y." The probability of event A is x, and the probability of event B is y. If the two events are independent, the condition must be true is this d. P(A and B) = x + y

If two events are independent, then

$Pr(A\cap B)=Pr(A)\cdot Pr(B)$ .

Use formulas for conditional probabilities:

For independent events these formulas will be:

Now in your case $Pr(A)=x,\ Pr(B)=y$ and $Pr(A|B)=x,\ Pr(B|A)=y, Pr(A\cap B)=x\cdot y$ .

This shows that the only correct choice is A.

Which is the completely factored form of 12x3 – 60x2 + 4x – 20?

Answers

$12x^3 - 60x^2 + 4x - 20 \n \n GCF = 4 \n \n 4( (12x^3)/(4) + (-60x^2)/(4) + (4x)/(4) - (20)/(4)) \n \n 4(3x^3 - 15x^2 + x - 5) \n \n 4(3x^2(x - 5) + (x - 5)) \n \n 4(x - 5)(3x^2 + 1) \n \n$

The final result is: 4(x - 5)(3x² + 1).

Examples of prime numbers

Answers

1,2,3,5,7,11.... Any number that are only divisible by 1 and the number itself

Find all horizontal asymptotes of the following function. f(x)=(x+4)(x²+13x+36)

Answers

Answer:

To find the horizontal asymptote of the function,

we need to find the intersection points of the function with the

y-axis.

These points are the solutions of the equation

f(x) = 0.

We decompose the function in the form of the product of two expressions:

f(x) = (x + 4)(x² + 13x + 36)

Now we can set each of the expressions inside the parentheses equal to zero and solve the horizontal equations:

x + 4 = 0 or x² + 13x + 36 = 0

To solve the first equation

, we can factor out

x: x = -4

To solve the second equation, we can use the analysis method or the quadratic formula.

Using the analysis method, we can decompose the expression

x² + 13x + 36 in the following form:

(x + 4)(x + 9) = 0 So the two horizontal equations are equal to

x + 4 = 0 (that is, x = - 4) and x + 9 = 0 (that is, x = -9).

So the horizontal asymptote of the function

f(x) = (x + 4)(x² + 13x + 36) is equal to

x = -4 and x = -9.

Final answer:

The horizontal asymptote of the function f(x) = (x+4)(x²+13x+36) is y = x³.

Explanation:

The function given is f(x) = (x+4)(x²+13x+36). To find the horizontal asymptotes, we need to determine the behavior of the function as x approaches positive and negative infinity.

As x approaches positive or negative infinity, the function behaves like the highest power term in the expression. In this case, the highest power term is x³, so the horizontal asymptote is y = x³.

Therefore, the horizontal asymptote of the function is y = x³.

Learn more about Horizontal asymptotes here:

brainly.com/question/4084552

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Just one more What is 35 = 5 |x+6|-10

Answers

35 = 5|x + 6| - 10

First, add '10' to both sides.
$35 + 10 = 5|x + 6|$
Second, add 35 + 10.
$45 = 5|x + 6|$
Third, divide the sides by '5'.
$(45)/(5) = |x + 6|$
Fourth, since 9 × 5 = 45, simplify the fraction to 9.
$9 = |x + 6|$
Fifth, separate the equation into 2.
$9 = x + 6 \n and \n 9 = -(x + 6)$
Sixth, solve the first one.
( $1) 9 - 6 = x \n 2) 3 = x \n 3) x = 3$
Seventh, solve the second one.
$1) 9 = -x - 6 \n 2) 9 + 6 = -x \n 3) 15 = -x \n 4) -15=x \n 5) x = -15$
Eighth, gather both the solutions you just got.
$x = -15,3$

Answer: x = -15, 3

35 = 5 | x+6 | - 10
35 + 10 = 5 | x+6 |
45 = 5 | x+6 |
9 = | x+6 |
x + 6 = 9 x + 6 = -9
x = 9 - 6 x = -9 - 6
x = 3 x = -15

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