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3 years ago

Find the x- and y- intercepts of the line with the equation 3x+4y=-12

1 answer:

8 0

3x + 4y = -12

X - Intercept: 3x + 4y = -12
      3x + 4(0) = -12
           3x + 0 = -12
   3x = -12
      3    3
   x = -4
   (x, y) = (-4, 0)

Y - Intercept:   3x + 4y = 12
   3(0) + 4y = 12
   0 + 4y = 12
   4y = 12
      4 4
   y = 3
   (x, y) = (0, 3)

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A rectangular container measuring 20 inches long by 16 inches wide by 12 inches tall is filled to its brim with water. If 850 cu

makkiz [27]

The new height of the water is = 9.34 inches (approx)

Step-by-step explanation:

Given, a rectangular container measuring 20 inches long by 16 inches wide by 12 inches tall is filled to its brim with water.

Let the new height of water level be x inches.

The volume of the container = (20×16×12) cubic inches

=3840 cubic inches

According to the problem,

3840 - (20×16×x) = 850

⇔3840 -320x = 850

⇔-320x =850-3840

⇔-320 x = -2990

$\Leftrightarrow x =\frac{2990}{320}$

⇔x = 9.34 inches

The new height of the water is = 9.34 inches (approx)

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3 years ago

What is the length, width, and area

Temka [501]

Length: 6 Width: 2 Area: 12

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3 years ago

The probability of having a winning raffle ticket is 20%. If you bought 50 tickets, how many winning tickets should you expect t

Usimov [2.4K]

$\frac{20}{100} = \frac{x}{50}$
Let's solve for x:
100x=1000
Divide by 100
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You should expect to win 10 times.

3 0

3 years ago

Read 2 more answers

Please Help Me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

GuDViN [60]

Answer:

(-2, 11) and (2, 3)

Step-by-step explanation:

Given system of equations:

1) f(x) = x² - 2x + 3 ⇒ y = x² - 2x + 3

2) f(x) = -2x + 7 ⇒ y = -2x + 7

Solve Using the Substitution Method:

Step 1: Substitute the the first equation into the second.

⇒ x² - 2x + 3 = -2x + 7

Step 2: Solve for x.

x² - 2x + 3 = -2x + 7 [ Add 2x to both sides. ]

x² - 2x + 2x + 3 = -2x + 2x + 7

⇒ x² + 3 = 7 [ Subtract 3 from both sides. ]

x² + 3 - 3 = 7 - 3

⇒ x² = 4 [ Take the square root of both sides. ]

√x² = √4

x = ± 2

⇒ x = -2, x = 2

Step 3: Solve for y.

Substitute the found x-values into one of the given equations.

y = -2x + 7 ⇒ y = -2(-2) + 7 ⇒ y = 4 + 7 ⇒ y = 11

y = -2x + 7 ⇒ y = -2(2) + 7 ⇒ y = -4 + 7 ⇒ y = 3

The solutions to the system of equations are: (-2, 11) and (2, 3).

Learn more about system of equations here:

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2 years ago

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In measuring the center of the data from a skewed distribution, the median would be preferred over the mean for most purposes be

icang [17]

The median would be preferred over the mean in such scenarios because the median will lessen the impact of the outliers that fall within the "tail" of the skew. Therefore, if a curve is normally distributed, that is to say that data is normally distributed, there will be two tails, each with approximately equal proportions of outliers. Outliers in this case being more extreme numbers, and are based on your determination depending on how you are using the data. If data is skewed there is one tail, and therefore it may be an inaccurate measure of central tendency if you use the mean of the numbers. Thinking of this visually. In positively skewed data where there is a "tail" towards the right and a "peak" towards the left, the median will be placed more in the "peak", whereas the mean will be placed more towards the "tail", making it a poorer measure of central tendency, or the center of the data.

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3 years ago