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3 years ago

The ___________ of a numerical set of data is the value that occurs most frequently.

Mathematics

1 answer:

Leya [2.2K]3 years ago

3 0

The median is the answer

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Find all values of $x$ such that $\dfrac{x}{x+4} = -\dfrac{9}{x+3}$. If you find more than one value, then list your solutions i

mixer [17]

We start with

$\dfrac{x}{x+4} = -\dfrac{9}{x+3}$

Assuming that $x \notin \{-4,\ -3\}$ we can cross multiply the equation:

$x(x+3) = -9(x+4) \iff x^2+3x=-9x-36 \iff x^2+12x+36=0$

You can recognize the perfect square pattern in the quadratic equation:

$x^2+12x+36 = (x)^2 + 2\cdot x \cdot 6 + (6)^2 = (x+6)^2$

So, we have

$x^2+12x+36=0 \iff (x+6)^2 = 0 \iff x+6=0 \iff x=-6$

Which is the only solution, with multiplicity 2.

8 0

4 years ago

Read 2 more answers

4. Freddie purchased a pair of never worn Vintage 1997 Nike Air Jordan XII Playoff Black Varsity

Leni [432]

It would trend continues how much it would be in shoes

6 0

2 years ago

The function f(x) = x2 is graphed above. Which of the graphs below represents the function g(x) = (x + 1)2

Lina20 [59]

Answer:

Step-by-step explanation:

you mean the function f(x)=x² not x2

the answer is the 1st attachment

for the second question

Which of the graphs below represents the function g(x) = (x + 1)²

the answer is the 2nd attachment

7 0

3 years ago

How many solutions does the system have?

kykrilka [37]

Answer: a

Infinitely many

Step-by-step explanation:

Solve by substitution:

1) Solve $y=2x+1$ for $y$ :

$y=2x+1$

2) Substitute $2x+1$ for $y$ in $-4x+2y=2$ :

$-4x+2y=2$

$-4x+2(2x-1)=2$

3) Simplify both sides of the equation:

$2=2$

4) Add -2 to both sides of the equation:

$2+-2=2+-2$

5) Simplify both sides of the equation:

$0=0$

Therefore, there are infinitely many solutions.

Solve by elimination:

You cannot solve this system by elimination

Solve by graphing:

The $2$ equations are on top of each other, therefore, the system of equations has infinitely many solutions.

6 0

3 years ago

Negitive 7 over 18 minus negitive 9 over 4 equals?

Inessa [10]

Answer:

1 31/36 is your answer

Step-by-step explanation:

Find common denominators. Note that what you do to the denominator, you must do to the numerator;

(-7/18)(2/2) = (-14/36)

(-9/4)(9/9) = (-81/36)

Combine the terms:

(-14/36) - (-81/36)

Note that two negative signs directly next to each other equals a positive sign.

(-14/36) + 81/36

-14/36 + 81/36

(-14 + 81)/36

Combine like terms. Solve the parenthesis:

(67)/36

Change to a mixed fraction:

(67/36) = 1 31/36

1 31/36 is your answer.

5 0

3 years ago