If k-8= 0, what property justifies k = 8?

Answer:

(f - g)(x) = -x - 6

(f + g)(x) = 3x - 4

(f*g)(4) = -9

Step-by-step explanation:

These are your equations:

f(x) = x - 5

g(x) = 2x + 1

To find (f - g)(x), subtract g(x) from f(x).

(f - g)(x) = x - 5 - (2x + 1)

(f - g)(x) = x - 5 - 2x - 1

(f - g)(x) = -x - 5 - 1

(f - g)(x) = -x - 6

To find (f + g)(x), add f(x) with g(x).

(f + g)(x) = x - 5 + 2x + 1

(f + g)(x) = 3x - 5 + 1

(f + g)(x) = 3x - 4

To find (f*g)(4), you need to first find (f*g)(4).  You can do this by multiplying f(x) wih g(x).

(f*g)(x) = (x - 5)(2x + 1)

(f*g)(x) = 2x² - 9x - 5

Now that you have (f*g)(x), solve with x as 4.

(f*g)(4) = 2(4)² - 9(4) - 5

(f*g)(4) = 2(16) - 9(4) - 5

(f*g)(4) = 32 - 36 - 5

(f*g)(4) = -9

The required expression for (f-g)(x), (f+g)(x) and (fg)(4) are given as 3x - 4, -x - 6 and 11.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
f(x)=x-5
g(x) = 2x+1

According to the question,
[f + g ](x) = x - 5 + 2x + 1 = 3x - 4

[f + g ](x) =  3x - 4

[f - g ](x) =  x - 5 - 2x - 1
[f - g ](x) = -x - 6

(f.g)(x) = (x - 5)(2x + 1)
(f.g)(x) = 2x² -4x -5

(f.g)(4) = 2[4]² - 4[4] - 5
         = 32 - 16 - 5
         = 11
(f.g)(4) = 11

Thus, the required expression for (f-g)(x), (f+g)(x) and (fg)(4) are given as 3x - 4, -x - 6 and 11.

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Answer: The numerator and denominator degrees of freedom (respectively) for the critical value of F are 4 and 118 .

Step-by-step explanation:

We know that , for critical value of F, degrees of freedom for numerator = k-1

and for denominator = n-k, where n= Total observations and k = number of independent variables.

Here, Numbers of independent variables(k) = 5

Total observations (n)= 123

So, Degrees of freedom for numerator  = 5-1=4

Degrees of freedom for denominator =123-5= 118

Hence, the numerator and denominator degrees of freedom (respectively) for the critical value of F are 4 and 118 .

Answer:

The sum of the expression (8 - 4i) + (-2 +7i) is (6 + 3i)

Step-by-step explanation:

In the complex numbers (a + bi) and (c + di), we can add the real parts together and the imaginary parts together, so their sum is

(a + bi) + (c + di) = (a + c) + (b + d)i

Let us use this fact to solve our question

∵ The complex numbers are (8 - 4i) and (-2 + 7i)

∴ Their sum = (8 - 4i) + (-2 + 7i)

∵ The real parts are 8 and -2

∵ 8 + -2 = 8 - 2 = 6

∴ The sum of the real parts is 6

∵ The imaginary parts are -4i and 7i

∵ -4i + 7i = 3i

∴ The sum of the the imaginary parts is 3i

∵ (8 - 4i) + (-2 + 7i) = (8 - 2) + (-4 + 7)i

∴ (8 - 4i) + (-2 + 7i) = 6 + 3i

∴ The sum of the expression (8 - 4i) + (-2 +7i) is (6 + 3i)

Answer:

0

Step-by-step explanation:

0 divided by anything is 0

Answer:

15% of 60 is 9

Step-by-step explanation:

15%= 3/20

3/20*60= 180/20

180/20= 9

15% of 60 is 9

Hope this helps!

Answer:

9

Step-by-step explanation:

60×15%=9 therefore, 9 is your answer

Answer:

2 /20t+7

​  

Step-by-step explanation:

Answer:

a) The store which provides the lowest total costs is:

True Builders

b) The cost without sales tax is:

$407.48

Step-by-step explanation:

Data and Calculations:

Product                Quantity       True Builders               Quality Suppliers

                                               Price          Costs             Price          Costs

Bricks                      120        $2.20       $264.00         $2.25      $270.00

2 x 4 boards            40 ft     $0.75            30.00         $0.70           28.00

1 x 6 boards           120 ft     $0.60            72.00         $0.65           78.00

2 x 6 boards           30 ft     $0.80            24.00         $0.80           24.00

Paint                        2 gal.    $15.50           31.00         $11.25          22.50

Paint Brushes         2           $7.50            15.00          $9.75           19.50

Total costs                                           $436.00                          $442.00

Imputed Sales Tax of 7%                        28.52                              28.92

Without Sales Tax                              $407.48                           $413.08

Answer:

Quality Supplies 442.00

Step-by-step explanation:

Answer:

30244

Step-by-step explanation:

Step-by-step explanation:

z+w= 1+3i-3-4i = -2-i

w+z=-3-4i+1+3i = -2-i

So, z+w = w+z

So, complex number addition is commutative

If z = 1 + 3i and w = -3 - 4i, then z + w = - 2 - i and w + z = - 2 - i, which supports that complex number addition is commutative.

We are aware that the addition's commutative property states that altering the addends' order will not affect the sum.

Here z = 1 + 3i and w = -3 - 4i.

Now, z + w = 1 + 3i - 3 - 4i = 1 - 3 + 3i - 4i = - 2 - i

and w + z = - 3 - 4i + 1 + 3i = - 3 + 1 - 4i + 3i = - 2 - i

i.e. z + w = w + z

Clearly, the addition obeys the commutative property.

Therefore we can conclude that If z = 1 + 3i and w = -3 - 4i, then z + w = - 2 - i and w + z = - 2 - i, which supports that complex number addition is commutative.

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Answer:

This is what internet says. Maybe this helps.

i believe your answers would be

1/2c+7 and 2H-9

Answer:

20

Step-by-step explanation:

165 divided by 8.25 is 20.

Answer:

20 hrs

Step-by-step explanation:

Just divide $165 by $8.25

Hope this helps!

Answer:

44.52

Step-by-step explanation

Answer:

Yeah

Step-by-step explanation:

Just swiss cheese ngl

Answer:

cheddar + turkey

Step-by-step explanation:

.........mmmm....mm..mm.mm.mm

Answer:

3x+7=2x+13 over 3

3 (3x )+3 (7)=2x +13 over 3×3

9x+21=2x +13

9x- 2x=13-21

7x=-8

x=8/7

Step-by-step explanation:

Step 1:Multiply both sides by the denominator

Step 3:Group like terms

Step 5: Divide both sides to find for x

Answer:

A,t=d/r

Step-by-step explanation:

if d=rt t=?

d/r=rt/r (to get alone t we devided by r on both sides)

d/r=t

i think it is clear

&i hope it helps you

letter B 3 feet

Step-by-step explanation:

he needs three more to get 6 meters of wood

Answer:

-3

Step-by-step explanation:

Answer:

here:- a=4; d:- (1-4)=(-2-1)=>-3

so, nth term= a+(n-1)d

=> 4+(n-1)-3=>4-3n+3=>7-3n

Step-by-step explanation:

nth term=(7-3n)

Answer:

6,882,000 miles

Step-by-step explanation:

Answer:

It is warm.

Step-by-step explanation:

One of the ten bills

Answer:

Point slope-  y + 8 = − 1 2 ⋅ ( x − 4 )

Slope Intercept Form- y = − 1/ 2 x − 6

Slope- m=-1/2

Step-by-step explanation:

Point slope- y-y₁=m(x-x₁)

Slope Intercept form- y=mx+b\

Slope- rise/run= y2-y1/x2-x1

Answer:

decreasing, then increasing. the parabola decreases as it approaches the vertex, then increases afterward

 I believe it is   9(7-b)

Answer:

6 centimeters

Step-by-step explanation:

Area = Length * Width

42 = 7 * Width

Width = 42/7

Width = 6 centimeters

The matching is as follows:

1. <4 and <6 ------> same- side interior angle

2. <5 and <6 ------> vertical angles

3. <2 and <6  ------> corresponding angle.

4. <4 and <5  ------> alternate interior angle

Properties of Parallel Lines

Now, from the figure

1. <4 and <6 shows the relationship of same- side interior angle

2. <5 and <6 shows the relation of vertical angles

3. <2 and <6 shows the relation of corresponding angle.

4. <4 and <5 shows the relation of alternate interior angle

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