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2 years ago

Line M is represented by the following equation: x + y =-1

Mathematics

1 answer:

BaLLatris [955]2 years ago

5 0

Answer:

2x+ 2y = -2

Step-by-step explanation:

Given the equation of a line as x + y = -1

To get the equation of the line P so the set of equations has infinitely many solutions, we will have to multiply the given equation by a factor

Multiplying the given equation by a factor of 2;

Given x + y = -1

Multiplying both sides by 2;

2(x + y) = 2(-1)

2x+ 2y = -2

Hence the required equation is 2x+ 2y = -2

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3 years ago

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What function translates the function f(x) = to the right 2 units and up 10 units?<br><br> g(x)= |

Mandarinka [93]

Answer:

g(x) = | x - 2 | + 10

Step-by-step explanation:

given g(x) then g(x± h ) is a horizontal translation of g(x)

• if h > 0 then a move to the left of h units

• if h < 0 then a move to the right of h units

here the move is 2 units to the right, then

g(x) = | x - 2 |

given g(x) then g(x) + c is a vertical translation of g(x)

• if c > 0 then a move up

• if c < 0 then a move down

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g(x) = | x - 2 | + 10

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1 year ago

The weight of laboratory grasshoppers follows a Normal distribution, with a mean of 90 grams and a standard deviation of 2 grams

JulsSmile [24]

Answer:

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 90 grams and a standard deviation of 2 grams.

This means that $\mu = 90, \sigma = 2$