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beks73 [17]
2 years ago
13

Evaluate the function for an input value of 3. f (x) = -4x^2 – 3x – 5

Mathematics
1 answer:
Lina20 [59]2 years ago
3 0

Answer:

  • -50

Step-by-step explanation:

<u>Function given:</u>

  • f(x) = -4x² – 3x – 5

Evaluate the function for an input value of 3

<u>Input value is x = 3, output value is:</u>

  • f(3) = -4(3²) – 3(3) – 5 = -4(9) - 9 - 5 = -36 - 14 = -50
  • f(3) = -50
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A manufacturing company measures the weight of boxes before shipping them to the customers. If the box weights have a population
NikAS [45]

Answer:

<u>The probability that the average weight of the boxes will exceed 94 pounds  is 43.25%</u>

Step-by-step explanation:

1. Let's review the information provided to answer the question correctly:

Mean of the population of box weights = 90 pounds

Standard deviation of the population of box weights = 24 pounds

Sample size = 36 boxes

2. What is the probability that the average weight of the boxes will exceed 94 lb?

For answering this question, we will use the z-scores table.

For using the correct z-score, we should use the correct standard deviation. In this case, we have that:

94 - 90 = 4 pounds above the mean.

4 pounds are 4/24 of the standard deviation,

therefore, simplifying:

4/24 = 1/6 = 0.1666......and we'll round to 0.17

z-score is 0.17 because 4 pounds is 1/6 of the standard deviation (24).

The probability of a z-score is 0.5675, but in this case we're asked by a weight over 94 pounds, not under 94 pounds, thus:

1 - 0.5675 = 0.4325

<u>The probability that the average weight of the boxes will exceed 94 pounds  is 43.25%</u>

8 0
2 years ago
PLEASE HELP WILL MARK BRAINLIEST Write the equation of the line parallel to the given line and passing through the given point.
Naily [24]

The parallel lines have the same slope.

The slope-intercept form: y = mx + b

m - a slope.

We have 6x + y = 4     |subtract 6x from both sides

y = -6x + 4 → m = -6.

The slope-point form:

y-y_1=m(x-x_1)

We have m = -6 and (-2, 3).

Substitute:

y-3=-6(x-(-2))\\\\y-3=-6(x+2)\\\\y-3=(-6)(x)+(-6)(2)\\\\y-3=-6x-12\qquad|+3\\\\y=-6x-9\qquad|+6x\\\\6x+y=-9

<h3>Answer: 6x + y = -9.</h3>
5 0
2 years ago
Choose the model that shows the correct answer to this problem:<br> 6/8<br> 9/12<br> 3/4<br> 3/12
Veronika [31]

Answer:

1/3 x 3/4

Step-by-step explanation:

in this case, 3/4 is correct because it is 3 of 4 shaded.

hope this helps!

3 0
2 years ago
Read 2 more answers
. Find two consecutive odd integers whose product is 99. (Note: There are two different pairs of consecutive odd
Tom [10]

Answer:

9 and 11

Step-by-step explanation:Let the 2 consecutive odd integers be n and n+2.

n(n + 2) = 99

Solve for n.

n2 + 2n - 99 = 0

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Two solutions:

n = -11

n + 2 = -9

and

n = 9

n + 2 = 11

Test the answers.

4 0
3 years ago
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Vsevolod [243]

Answer:

1

Step-by-step explanation:

you simply divide 154 by 9, get around 17.1. 17 is the closest whole number answer, so 17*9 is 153.

do 154-153, you get 1.

not the best explaination but i hope it helps.

6 0
3 years ago
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