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3 years ago

Solve each system by substitution y=-4x + 5 y= -2x + 1

2 answers:

5 0

y=−4x+5;y=−2x+1Step: Solvey=−4x+5for y:Step: Substitute−4x+5foryiny=−2x+1:y=−2x+1−4x+5=−2x+1−4x+5+2x=−2x+1+2x(Add 2x to both sides)−2x+5=1−2x+5+−5=1+−5(Add -5 to both sides)−2x=−4−2x−2=−4−2(Divide both sides by -2)x=2Step: Substitute2forxiny=−4x+5:y=−4x+5y=(−4)(2)+5y=−3(Simplify both sides of the equation)

x=2 and y=−3

MrRa [10]3 years ago

4 0

[-2x+1=-4x+5] is the first step and isolate for x -2x+1=-4x+5: x+2 then you got y=-3 the answer will be x=2, y=-3

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The side lengths of a triangle are 5,12 and 13. is this right triangle

Ahat [919]

Answer:

<h2>Yes, because 5²+12²=13²</h2>

Step-by-step explanation:

Yes

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2 years ago

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A collection of numerical information, such as the scores on a test, is referred to as simple random sampling.True / False.

Nimfa-mama [501]

Answer:

False. See explanation below.

Step-by-step explanation:

False

A simple random sample "is a subset of a statistical population in which each member of the subset has an equal probability of being chosen"

In other words that means in order to apply a random sampling we need to ensure that we have the same probability of inclusion for every possible element of the population of interest.

And for this case a collection of any numerical information is not referred as random sampling since we don't know if these scores are representative of the population of interest.

And we don't know if this information is obtained using any sampling frame or sampling methodology.

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3 years ago

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Anna35 [415]

Ur lines are parallel...they never intersect...means there is no solution...
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3 years ago

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A student studying his classmates' cars' ages reports the 5-number summary as {1, 3, 4, 8, 20}. what is the iqr for his data?

timurjin [86]

IQR for the data {1, 3, 4, 8, 20} is 5.

Interquartile Range(IQR) for a data is defined as the difference between third quartile and first quartile.

denoted by IQR=Q₃-Q₁ (Q₃ is third quartile and Q₁ is first quartile)

The five number summary of a data set is represented as

{minimum, first quartile , second quartile , third quartile , maximum}..…(1)

According to the question

{1, 3, 4, 8, 20}

On comparing it with equation …(1)

minimum=1

Q₁ =3 , Q₂=4 , Q₃=8 , maximum =20

IQR=Q₃-Q₁

Substituting the values we get

IQR=8-3=5.

Therefore , Interquartile Range for the data {1, 3, 4, 8, 20} is 5.

Learn more about Inter Quartile Range here brainly.com/question/28037049

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1 year ago

When you multiply a pair of conjugates you get a real number

marusya05 [52]

Answer: The complex conjugate has a very special property. Consider what happens when we multiply a complex number by its complex conjugate. We find that the answer is a purely real number it has no imaginary part. This always happens when a complex number is multiplied by its conjugate the result is real number.

Real numbers can be positive or negative, and include the number zero. They are called real numbers because they are not imaginary, which is a different system of numbers

Step-by-step explanation: Every complex number has a complex conjugate. The complex conjugate of a + bi is a - bi. For example, the conjugate of 3 + 15i is 3 - 15i, and the conjugate of 5 - 6i is 5 + 6i.

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2 years ago