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topjm [15]
4 years ago
12

FUNCTIONS: In the space provided, type the answer in descending order as it applies without any spaces between the letters, numb

ers, or symbols.
Type the composition (fog)(x) of the given functions:
f(x) = x^2 + 2x − 6 and g(x) = x + 5.
Mathematics
1 answer:
Aleonysh [2.5K]4 years ago
3 0

Answer:

Hence The composition (fog)(x) of the given function is x^2+12x+29.

Step-by-step explanation:

Given:

f(x) = x^2+2x-6

g(x)=x+5

We need to find (f o g)(x).

Solution:

Now we can say that;

(f o g)(x) = f(g(x))

(fog)(x) = (x+5)^2+2(x+5)-6

Now Applying distributive property we get;

(fog)(x) = (x+5)^2+2\times x+2\times5-6\\\\(fog)(x) = (x+5)^2+2x+10-6\\\\(fog)(x) = (x+5)^2+2x+4

Now Solving the exponent function we get;

(fog)(x) = x^2+2\times x\times 5+5^2+2x+4\\\\(fog)(x) = x^2+10x+25+2x+4\\\\(fog)(x) = x^2+12x+29

Hence The composition (fog)(x) of the given function is x^2+12x+29.

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On June 13 of the current year, Kensington Factory sold merchandise to a customer for $8,000 with credit terms 2/10, n/30. The c
Serggg [28]

Answer:

General Journal are given below

Step-by-step explanation:

given data

credit terms = 2/10, n/30

Factory sold = $8,000

solution

as here we get Sales Discount that will be

Sales Discount = 2% of Factory sold price

Sales Discount =  2% × $8000

Sales Discount = $160

so Cash debit will be =  $8,000  - $160 = $7,840

so General Journal will be as

Event                  General Journal                     Debit                credit

1                            Cash                                      $7,840  

                            Sales Discount                       $160

                             Accounts receivables                                 $8,000

5 0
4 years ago
Bx-cx=-c solve for x.<br> find any restrictions
Luba_88 [7]
bx-cx=-c\ \ \ \ \ |change\ signs\\\\cx-bx=c\\\\x(c-b)=c\ \ \ \ |divide\ both\ sides\ by\ (c-b)\\\\\boxed{x=\dfrac{c}{c-b}}
6 0
3 years ago
Read 2 more answers
What should be subtracted from
pychu [463]

<u>-5a²+13ab</u> should be subtracted.

<h3>Step-by-step explanation:-</h3>

Based on the given conditions, formulate,

→- {a}^{2} - 4 {a}^{2} + 13ab

→-({a}^{2} - 4 {a}^{2}) + 13ab

Taking the coefficients or numbers, we get,

→(- 1 - 4) {a}^{2} + 13ab

→ - 5 {a}^{2} + 13ab

3 0
2 years ago
Read 2 more answers
We wish to determine the proportion of small- to medium-sized streams in eastern North Carolina which have runoff from hog farms
Oksi-84 [34.3K]

Answer:

The value of the parameter of interest in this setting is:

d. The value of the parameter of interest cannot be determined from the given information.

Step-by-step explanation:

To determine the parameter of interest in this setting, we need information about the population figure of the small-to-medium-sized streams in eastern North Carolina.  We also require the population proportion of these streams, which have runoff from hog farms.  But in this situation, the information is lacking.  Instead, we are given information about the sample, which only produces statistics.  For example, we can calculate the average (mean) proportion of the sample of 242 small-to-medium-sized streams using the 55 that were found to have runoff from hog farms.

5 0
3 years ago
Lin created a scaled copy of Triangle A with an area of 72 square units. How many times larger is the area of the scaled copy co
Tju [1.3M]

Answer:

Copy's area is 16 times bigger then triangle area.

Step-by-step explanation:

Given:

Area of copy = 72 unit²

Find:

How bigger copy compared to triangle

Computation:

Area of triangle = [1/2][base][height]

Area of triangle = [1/2][3][3]

Area of triangle = 4.5 unit²

So.

Area of copy / Area of triangle

72 / 4.5

16

So,

Copy's area is 16 times bigger then triangle area.

3 0
3 years ago
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