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3 years ago

Solve using ELIMINATION (with step by step explanation) Please 3x+y=-9 y=5x+7

Mathematics

1 answer:

Yuki888 [10]3 years ago

7 0

Answer:

<h2>x = -2 (verified by algebra) ✅</h2>

Step-by-step explanation:

Since we are given the value of y, we can replace it with 5x + 7.

We now have: 3x + 5x + 7 = -9

We can now simplify by adding 3x and 5x to get 8x.

8x + 7 = -9

We can subtract 7

8x = -16

And now, we divide by 8

x = -2

We can check to make sure we are correct

3(-2) + 5 (-2) + 7 = -9

-6 + -10 + 7 = -9

-9 = -9 ✅

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3 years ago

A box contains 15 resistors. twelve of them are labelled 50ω and the other three are labeled 100ω. what is the probability that

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Answer : P(second resistor is 100ω , given that the first resistor is 50ω) is given by

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Explanation :

Since we have given that

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Number of resistors labelled with 50ω = 12

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Let A: Event getting resistor with 50ω

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Since A and B are independent events .

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$P(A\cap B)=P(A).P(B)\\\\P(A\cap B)=\frac{4}{5}\times \frac{1}{5}\\\\P(A\cap B)=\frac{4}{25}$

So, by using the conditional probability , which state that

$P(B\mid A)=\frac{P(A\cap B)}{P(A)}$

$P(B\mid A)=\frac{\frac{4}{25}}{\frac{4}{5}}\\\\P(B\mid A)=\frac{5}{25}\\\\P(B\mid A)=\frac{1}{5}$

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3 years ago

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Here is your answer

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c) /_ADB

are correct

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/_D represents the point where the two lines or rays have a common point, i.e.D

[However writing a single letter to represent an angle is not completely correct. But when there is only one angle represented through the point then writing a single letter is correct

i.e. /_D is correct ]

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