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natulia [17]
2 years ago
9

For the function f(x) = -4x - 5, what are the outputs for the inputs -4, 1, 3, and 11?

Mathematics
1 answer:
Anika [276]2 years ago
8 0

We have to find the output values for the given input values of the function given as,

  • f(x) = -4x - 5

Here, x = Input value of the function

And f(x) = Output values

By substituting the input values of x as,

For x = -4,

f(-4) = -4(-4) - 5

      = 16 - 5

      = 11

For x = 1,

f(1) = -4(1) - 5

    = -4 - 5

    = -9

For x = 3,

f(4) = -4(3) - 5

     = -17

For x = 11,

f(11) = -4(11) - 5

     = -44 - 5

     = -49

       Therefore, Option (A) will represent the output values for the given input values.

Learn more,

brainly.com/question/4397150

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1b)  Area = 28x^2 -2x -6

1c)  Area = 2774 sq. m

2.  (x-4)(y+7)

Step-by-step explanation:

1a)

The length given as words is "3 more than 7 times x"

The width given as words is "4 times x minus 2"

The expression for length would be  7x + 3

The expression for width would be 4x - 2

1b)

The area is length * width

Since we already know the algebraic expressions for length and width from part (a) above, we use the formula:

Area = (7x+3)(4x-2) = 28x^2 -14x + 12x - 6 = 28x^2 -2x -6

Area = 28x^2 -2x -6

1c)

Given x = 10, we put this into the area expression we found in (b) above.Let's see:

28x^2 -2x -6\\=28(10)^2 -2(10) -6\\=2774

Area = 2774 sq. m

2.

We can group the first two terms and next two terms and write up:

xy-4y+7x-28\\(xy-4y)+(7x-28)\\y(x-4)+7(x-4)\\(x-4)(y+7)

That's the factored form.

8 0
3 years ago
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If 5\9 of a tank can be filled in 2 minutes, how many minutes will it take to fill the whole tank?
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Answer:

It would take 3.6 mins.

Step-by-step explanation:

In order to find this, we simply divide the amount of time by the amount of the tank that is filled.

2 ÷ 5/9 = 3.6

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3 years ago
The average weight of the top 5 fish at a fishing tournament was 13.6 pounds. Some of the weights of the
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Step-by-step explanation:

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3 years ago
The number of major earthquakes in a year is approximately normally distributed with a mean of 20.8 and a standard deviation of
SCORPION-xisa [38]

Answer:

a) 51.60% probability that in a given year there will be less than 21 earthquakes.

b) 49.35% probability that in a given year there will be between 18 and 23 earthquakes.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 20.8, \sigma = 4.5

a) Find the probability that in a given year there will be less than 21 earthquakes.

This is the pvalue of Z when X = 21. So

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

Z = \frac{21 - 20.8}{4.5}

Z = 0.04

Z = 0.04 has a pvalue of 0.5160.

So there is a 51.60% probability that in a given year there will be less than 21 earthquakes.

b) Find the probability that in a given year there will be between 18 and 23 earthquakes.

This is the pvalue of Z when X = 23 subtracted by the pvalue of Z when X = 18. So:

X = 23

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

Z = \frac{23 - 20.8}{4.5}

Z = 0.71

Z = 0.71 has a pvalue of 0.7611

X = 18

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

Z = \frac{18 - 20.8}{4.5}

Z = -0.62

Z = -0.62 has a pvalue of 0.2676

So there is a 0.7611 - 0.2676 = 0.4935 = 49.35% probability that in a given year there will be between 18 and 23 earthquakes.

5 0
3 years ago
How do I do this?<br> Please help
riadik2000 [5.3K]

<u>Answer </u><u>:</u>

In the given quadrilateral ABCD ,

  • Angle BCA = 18°
  • Angle ACD = 62°

Angle BCA = Angle CAD ( alternate interior angle )

Now in triangle CAD ,

We have two angles so by using angle sum property we can find the required third one ,

  • Angle CAD + Angle ACD + Angle ADC = 180°
  • 18 + 62 + Angle ADC = 180
  • 80 + Angle ADC = 180
  • Angle ADC = 180 - 80
  • Angle ADC = 100

6 0
3 years ago
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