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2 years ago

Which is f(5) for the function -2x2 + 2x - 3?

Mathematics

2 answers:

nexus9112 [7]2 years ago

8 0

Answer:

f(5) = - 43

Step-by-step explanation:

$f(x) = - 2 {x}^{2} + 2x - 3 \\ plugging \: x = 5 \\ f(5) = - 2( {5})^{2} + 2 \times 5 - 3 \\ \hspace{20 pt} = - 2 \times 25 + 10 - 3 \\ \hspace{20 pt}= - 50 + 7 \\ f(5) = - 43$

aksik [14]2 years ago

5 0

Answer:

-43

Step-by-step explanation:

-2x2 + 2x - 3?

Let x = 5

-2 (5)^2 +2(5) -3

-2 (25) +10 -3

-50 +10 -3

-43

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How do you use a number line to solve 235+123

Novosadov [1.4K]

<span>Number line refers to a mathematical process of solving the equation with the use of lines.
=> 235 + 123
Starting from 0 you count 1 up to 235. Then starting from 235 you additionally count another 123.
Then from zero start counting the total number to the line you stopped when adding 123 to 235.

This simply equals to
=> 235 + 123
=> 358.
Pls. see attached image for illustration of number line.</span>Answer here

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2 years ago

Point C(3.6, -0.4) divides AB in the ratio 3:2. If the coordinates of A are (-6, 5), the coordinates of point B are ___. If poin

kari74 [83]

When a point divides a line segment into ratios of k1:k2, the formula to find the coordiates of the point is:
x=(k2*x1+k1*x2)/(k1+k2), y=(k2*y1+k1*y2)/(k1+k2),
(x1,y1) being the coordinates of the starting point, and (x2,y2) coordinates of the end point.
in this case, 3.6=[2*(-6)+3x2]/5
-12+3x2=18
3x2=30
x2=10

use the same method to find y2: -0.4=(2*5+3y2)/5
3y2=-12
y2=-4
so the the coordinates of B is (10,-4)

use the same method to find the coordinates of D.

the answer I've got for D is (58/9, -2) please double check my calculation.

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2 years ago

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The cost of producing x soccer balls in thousands of dollars is represented by h(x) = 5x + 6. The revenue is represented by

Firdavs [7]

Answer:

(k-h)(x) = 4x - 8

Step-by-step explanation:

We know Profit = Revenue - Cost

Basically we gotta subtract cost function from revenue function and get the profit function.

The cost function is h(x) = 5x + 6

The revenue function is k(x) = 9x - 2

Hence, Profit is:

(k-h)(x) = (9x - 2) - (5x + 6)

(k-h)(x) = 9x -2 - 5x - 6

(k-h)(x) = 4x - 8

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2 years ago

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The cafeteria director at Great Minds School wants to know what percent of the students would choose vegetarian entrees if they

Korvikt [17]

Answer:

Sort a list of the students into a random order, then ask the first 353535 students on the list.

Step-by-step explanation:

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2 years ago

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Dave’s Automatic Door, referred to in Exercise 29, installs automatic garage door openers. Based on a sample, following are the

HACTEHA [7]

The question is not complete and the full question says;

Calculate the (a) range, (b) arithmetic mean, (c) mean deviation, and (d) interpret the values. Dave’s Automatic Door installs automatic garage door openers. The following list indicates the number of minutes needed to install a sample of 10 door openers: 28, 32, 24, 46, 44, 40, 54, 38, 32, and 42.

Answer:

A) Range = 30 minutes

B) Mean = 38

C) Mean Deviation = 7.2

D) This is well written in the explanation.

Step-by-step explanation:

A) In statistics, Range = Largest value - Smallest value. From the question, the highest time is 54 minutes while the smallest time is 24 minutes.

Thus; Range = 54 - 24 = 30 minutes

B) In statistics,

Mean = Σx/n

Where n is the number of times occurring and Σx is the sum of all the times occurring

Thus,

Σx = 28 + 32 + 24 + 46 + 44 + 40 + 54 + 38 + 32 + 42 = 380

n = 10

Thus, Mean(x') = 380/10 = 38

C) Mean deviation is given as;

M.D = [Σ(x-x')]/n

Thus, Σ(x-x') = (28-38) + (32-38) + (24-38) + (46-38) + (44-38) + (40-38) + (54-38) + (38-38) + (32-38) + (42-38) = 72

So, M.D = 72/10 = 7.2

D) The range of the times is 30 minutes.

The average time required to open one door is 38 minutes.

The number of minutes the time deviates on average from the mean of 38 minutes is 7.2 minutes

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2 years ago