Solve the system of equations y=8x+5 y=6x+25

dalia bought a few swirl marbles and divided it equally among four of her friends and her brother, jake. while playing, Jake los

Deffense [45]

45?

9 marbles x 5 (four of her friends plus jake)

4 0

3 years ago

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When you have the number 81 as your median and you have to find the missing number out of the following 82,87,77,70,80,88

Natali5045456 [20]

Uh, so, you're median is 81 already.

Since the middle two numbers are 82 and 80, you have to add them together and then divide by 2.

However, if you're trying to add a number in, adding 81 as it is would work as well.

Hope this helps!

6 0

3 years ago

Match the features of the graph of the rational function.

Sunny_sXe [5.5K]

After applying algebraic analysis we find the right choices for each case, all of which cannot be presented herein due to length restrictions. Please read explanation below.

<h3>How to analyze rational functions</h3>

In this problem we have a rational function, whose features can be inferred by algebraic handling:

Holes - x-values that do not belong to the domain of the rational function:

x³ + 8 · x² - 9 · x = 0

x · (x² + 8 · x - 9) = 0

x · (x + 9) · (x - 1) = 0

x = 0 ∨ x = - 9 ∨ x = 1

But one root is an evitable discontinuity as:

y = (9 · x² + 81 · x)/(x³ + 8 · x² - 9 · x)

y = (9 · x + 81)/(x² + 8 · x - 9)

Thus, there are only two holes. (x = - 9 ∨ x = 1) Besides, there is no hole where the y-intercept should be.

Vertical asymptotes - There is a vertical asymptote where a hole exists. Hence, the function has two vertical asymptotes.

Horizontal asymptotes - Horizontal asymptote exists and represents the end behavior of the function if and only if the grade of the numerator is not greater than the grade of the denominator. If possible, this assymptote is found by this limit:

$y = \lim_{x \to \pm \infty} \frac {9\cdot x + 81}{x^{2}+8\cdot x - 9}$

y = 0

The function has a horizontal asymptote.

x-Intercept - There is an x-intercept for all x-value such that numerator is equal to zero:

9 · x + 81 = 0

x = - 9

There is a x-intercept.

Lastly, we have the following conclusions:

How many holes? 2
One horizontal asymptote along the line where y always equals what number: 0
This function has x-intercepts? True
One vertical asymptote along the line where x always equals what number: 1
There is a hole where the y-intercept should be? False

To learn more on rational functions: brainly.com/question/27914791

#SPJ1

5 0

2 years ago

Quadrilateral ABCD is transformed according to the rule (x, y) → (y, –x). Which is another way to state the transformation?

scoray [572]

The answer
there is no more explanation about this question, the solution can be found easily by applying the rule of transformation of rotation

for example, the properties of rotation transformation are:
A rotation preserves length but does not necessarily preserveslope of a line.
A 90° rotation ( 1/4 turn) anticlockwise about the origin changesthe point (x; y) to (-y; x).
A 180° rotation ( 1/2 turn) clockwise or anticlockwise about theorigin changes the point (x; y) to (-x;-y).
A 270° rotation ( 3/4 turn) anticlockwise changes about the originthe point (x; y) to (y;-x).
so the answer is
R0, 270°

4 0

3 years ago

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5. A chef prepared 48,462 plates of shrimp. There were 96 shrimp on each plate. How many

marta [7]

Answer:

504 I think

Step-by-step explanation:

48,462 divided by 96

KEYWORD: Each, each always means division

4 0

3 years ago