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Sphinxa [80]
3 years ago
15

If f(x)=x2-2x and g(x)=6x=4, for which value of x does (f+g)(x)=0

Mathematics
2 answers:
zhenek [66]3 years ago
7 0
X = -2
hope it helps (: 
diamong [38]3 years ago
3 0

Answer:  The required value of x is - 2.

Step-by-step explanation:  We are given the following two functions :

f(x)=x^2-2x,~~~~~g(x)=6x+4.

We are to find the value of x for which (f + g)(x) = 0.

We know that for any two functions p(x) and q(x), the following property holds true :

(p+q)(x)=p(x)+q(x).

We have

(f+g)(x)=0\\\\\Rightarrow f(x)+g(x)=0\\\\\Rightarrow x^2-2x+6x+4=0\\\\\Rightarrow x^2+4x+4=0\\\\\Rightarrow (x+2)^2=0\\\\\Rightarrow x+2=0,~~~x+2=0\\\\\Rightarrow x=-2,~-2.

Thus, the required value of x is - 2.

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64. Denise wants to burn at least 5000 calories a week through running. Based on her running speed, she estimates that she can b
Rudiy27

An inequality that represents Denise's goal in terms of the number of hours spent running 'h'

550h\leq 5000

Given :

Denise wants to burn at least 5000 calories a week through running.

she can burn 550 calories per hour

Let 'h' be the number of hours spent

In 1 hour  she can burn  550 calories

In 'h' hours she can burn 550h calories

Given that she want to burn atleast 5000 calories in a week

Burn atleast 5000 calories means <=5000 calories

So , the inequality that represents Denise's goal is

calories burn in h hours  <= 5000 calories

550h\leq 5000

Learn more :  brainly.com/question/381815

5 0
2 years ago
The volume of a rectangular prism is 48 cubic meters. It is 6 meters long and 2 meters wide.
horsena [70]

Answer:

12m^2

Step-by-step explanation:

volume = 48 m^3

l*b*h = 48

12*h = 48

h = 4 m

baSe of prism will be made of l and b

so area is 12 m^2

8 0
2 years ago
Sears editing ‘company is a small editorial services company owned and operated by deloris Sears. On January 31, 20Y1 , the end
Valentin [98]

1. Preparation of   the adjusting entries for

Sears editing ‘company

Sears editing ‘company  Adjusting Entries

a. Dr Insurance expense $1,800

($7,200-$5,400)  

Cr Prepaid insurance  $1,800

(To record insurance expense)

 b. Dr  Supplies expense $1,605

($1980 - $375)

Cr Supplies  $1,605

(To record supplies expense)

c. Dr  Depreciation expense $6,000

Cr Accumulated depreciation-building  $6,000

(To record depreciation expense on building)

d. Dr  Depreciation expense $3,000

Cr Accumulated depreciation-equipment  $3,000

(To record depreciation expense on equipment)  

e. Dr Unearned rent $5,400

($6,750-$1,350)

Cr Rent revenue  $5,400

(To record rent earned from unearned rent)

f. Dr Salaries and wages expense $2,900

Cr Salaries and wages payable  $2,900

(To record salaries and wages expense)  

g. Dr Accounts receivable $18,600

Cr Fees earned  $18,600

(To record accrued revenue)

2. Preparation of  an adjusted trial balance.

Sears editing ‘Company Adjusted Trial balance

Debit side

Cash $7,500

Account Receiveble $57,000

Prepaid Insurance  $5,400

Supplies $375

Land $112,500

Building $150,250

Equipment $135,300

Drawing $15,000

Salaries and wages expense $196,270

Utilities expense $42,375

Advertising expense $22,800

Repair expense $17,250

Depreciation expense-Building $6,000

Depreciation expense-Equipment $3,000

Insurance expense $1,800

Supplies expense $1,605

Miscellaneous expense $6,075

Total Debit side $780,500

Credit side

Accumulated Depreciation-Building  $93,550

Accumulated Depreciation-Equipment $100,950

Account payable $12,150

Unearned rents $1,350

Salaries and wages payable $2,900

Capital stock $221,000

Fees earned $343,200

Rent revenue $5,400

Total Credit side $780,500

Learn more here:brainly.com/question/21304366

4 0
3 years ago
A display case for the artifact is in the shape of a cube. Each side of the display case is three times longer than the width ww
Katena32 [7]
A cube is a 3d object bounded by  6 square faces. 

Each side of the display case is 3 times longer than the width of the artifact.

width of the artifact = w
side of the cube = 3w

<span>a. Write an expression for the volume of the case.
 volume of a cube is the measure of its side raised to the power of 3.

Volume = (3w)</span>³

<span>Volume = 27w</span>³<span>

</span>
6 0
3 years ago
a teacher plans a simulation to estimate the probability that a student will pick a vowel out of a bag of 26 tiles, each with a
Alex Ar [27]

Answer:

Yes

Step-by-step explanation:

Given that a teacher prepares 26 tiles with 5 vowels numbered 1 and 21 consonants numbered 2.

The probability for drawing vowel =\frac{5}{26}

Prob for consonant =\frac{21}{26}

If number of trials is atleast 30 we can expect reliable results.

Here the results are recorded for 120 times at random.

Since number of trials is large, we can expect a reliable and accurate results representing the actual probability.

This is because more the number of trials, the less would be the margin of error i.edeviationfrom the expected probability would be minimum

8 0
3 years ago
Read 2 more answers
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