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polet [3.4K]
2 years ago
11

Choose the graph that matches the following system of equations: (6 points)

Mathematics
1 answer:
KengaRu [80]2 years ago
4 0

The graph that matches the following system of equation is; the picture of a coordinate plane with line y equals negative 4x minus 1 and line y equals minus 3 over 2 times x plus 4. They intersect at negative 2, 7.

<h3>What is the graph of a function?</h3>

The graph of a function y = f(x) shows the position of the x-intercepts and y-intercepts from the graph from which the slope can be drawn.

The system of linear equations can be rewritten in slope-intercept form as follows:

y = -4x - 1

y = -3/2x + 4

From the graph, the two equations intercept at point (-2,7).

Learn more about plotting the graph of a function here:

brainly.com/question/3939432

#SPJ1

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The scale factor of the dilation is 1/5

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Find the expected value of the winnings
Orlov [11]

The expected value of the winnings from the game is $4

<h3>How to determine the expected value?</h3>

The payout probability distribution is given as:

Payout ($) 2 4 6 8 10

Probability 0.5 0.2 0.15 0.1 0.05

The expected value is then calculated as:

E(x) = \sum x * P(x)

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E(x) = 2 * 0.5 + 4 * 0.2 + 6 * 0.15 + 8 * 0.1 + 10 * 0.05

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E(x) = 4

Hence, the expected value of the winnings from the game is $4

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7 0
1 year ago
A cube with side length 4 centimeters is 25% full of sand. What is the volume of sand
earnstyle [38]
First, find the volume of the whole cube
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4 0
3 years ago
Given right triangle jkl, what is the value of cos(l)? five-thirteenths five-twelfths twelve-thirteenths twelve-fifths
kykrilka [37]

The value of the cosine ratio cos(L) is 5/13

<h3>How to determine the cosine ratio?</h3>

The complete question is added as an attachment


Start by calculating the hypotenuse (h) using

h^2 = 5^2 + 12^2

Evaluate the exponent

h^2 = 25 + 144

Evaluate the sum

h^2 = 169

Evaluate the exponent of both sides

h = 13

The cosine ratio is then calculated as:

cos(L) = KL/h

This gives

cos(L) =5/13

Hence, the value of the cosine ratio cos(L) is 5/13

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2 years ago
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