Identify as growth or decay, the initial value and the growth and decay factor, then find f(3)

Answer:

[tex]\Huge \boxed{-14 + 2i}[/tex]

Step-by-step explanation:

(3 – 4i)(–2 – 2i)

Expanding brackets.

3(-2 - 2i) - 4i(-2 - 2i)

-6 -6i + 8i + 8i²

Apply imaginary number rule : i² = -1

-6 - 6i + 8i + 8(-1)

-6 - 6i + 8i - 8

Combining like terms.

-6 - 8 - 6i + 8i

-14 + 2i

Answer:

18.25

Step-by-step explanation:

Add 5.50 and 12.75

5.50 + 12.75 = 18.25

Answer: 18.25

Step-by-step explanation:

Answer:

Ali's heart rate is 135 times per minute.

Step-by-step explanation:

Let Ali's heart rate be denoted by x times per minute.

It is provided that Ben's heart beats 18 times per minute more than Ali.

The ratio of their heart rates was 15:17.

That is:

[tex]\frac{15}{17}=\frac{x}{x+18}[/tex]

Solve for x as follows:

[tex]\frac{15}{17}=\frac{x}{x+18}[/tex]

[tex]15(x+18)=17x\\15x+270=17x\\2x=270\\x=135[/tex]

Thus, Ali's heart rate is 135 times per minute.

Answer:

D

Step-by-step explanation:

The expression is equivalent to [tex]\rm \frac{2 \sqrt2}{x^3}[/tex]. Option D is correct.

What is the definition of a fraction number?

A fraction number is a number that represents a portion of a larger number, where the larger number might be any integer. It has the shape of a numerator and a denominator.

The given expression is;

[tex]\rm \sqrt {\frac{8}{x^6}}[/tex]    x>0

The square root of 8 is 2√2 and x⁶ is x³.

The expression is equivalent to [tex]\rm \frac{2 \sqrt2}{x^3}[/tex].

Hence, option D is correct.

To learn more about fraction numbers, refer to https://brainly.com/question/8602593

#SPJ2

Answer:

Step-by-step explanation:

2x-x-5

Answer:   -21x + 5y = 9

Step-by-step explanation:

The standard form says that  Ax + By=C  

So to covert y = 4.2x + 1.8 into  subtract 4.2 from both sides.

    y = 4.2x + 1.8

-4.2x   -4.2x

-4.2x + 1y = 1.8       Now it is written in standard form and to make the decimals integers we will multiply both sides by 10.

-4.2x(10) + 1y(10) = 1.8(10)

-42x + 10y = 18  which reduces to -21x + 5y = 9

Answer:

Step-by-step explanation:

The question lacks Allen's workings. Find it below.

Step Work Reasoning

−8.3 + 9.2 − 4.4 + 3.7 Original problem

1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse

2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property

3 −8.3 + (4.4 + 9.2 + 3.7) Associative property

4 −8.3 + 17.3 Simplify

5 9 Simplify

Given the equation −8.3 + 9.2 − 4.4 + 3.7, to solve this we are going to be using different properties.

Given three values A, B and C, the following are true:

A-B = A+(-B) Additive inverse

(A+B)+C = A+(B+C) Commutative property

Applying this laws to correct Allen's calculation

Original problem

−8.3 + 9.2 − 4.4 + 3.7

Applying the additive inverse property

−8.3 + 9.2 +(− 4.4) + 3.7 {since product of plus and minus sign still gives a minus sign)

Rearranging the equation based on signs according to the associative property we will have:

−8.3 +(-4.4) + 9.2 + 3.7

Using the commutative property to separate the positive variables from negative variables will give:

{−8.3 +(-4.4)} + {9.2 + 3.7}

Since {−8.3 +(-4.4)} + {9.2 + 3.7} = {9.2 + 3.7} + {−8.3 +(-4.4)}

Simplify the expressions in parenthesis:

= {−8.3 +(-4.4)} + {9.2 + 3.7}

= (-8.3-4.4)+(9.2+3.7)

= (-12.7)+(12.9)

= 0.2

From the above calculation, it can be seen that Allen made an error while using the additive inverse property in his first step. He should not have removed the minus sign. The negative sign was removed from step 1 which makes the remaining steps of his calculation to be wrong. Instead of replacing -4.4 directly with +4.4 he should have used the additive inverse property by replacing -4.4 with +(-4.4).

Answer:

but like can you tell us where he did it wrong

Answer:

do as direct

which one of the following is square of 4

2

8

16

64

Answer:

$3.65 per chicken

Step-by-step explanation:

Divide the coat of he chickens by the number of chickens.

18.25/5

= 3.65

So one chicken would cost $3.65.

Answer:

$3.65

Step-by-step explanation:

$18.65/5=$3.65

1 chicken=$3.65

Answer:

Altitude

Step-by-step explanation:

A segment from a vertex of a triangle at right angles to the opposite side is an altitude.

Thus AB is an Altitude

Answer:

-7m³z

Step-by-step explanation:

(-m³)(7z) = -7m³z

Answer:

36 inches

Step-by-step explanation:

1 yard = 3 feet = 3*12 inches = 36 inches

1 yard = 36 inches

Answer:

Hey there!

First, we want to find the side length of the large triangle.

1/2bh=y cm^2

bh=2y cm^2

Since b and h are the same here, we have b^2= 2y, [tex]b=\sqrt{2y}[/tex].

And we have FC=[tex]\frac{\sqrt{2y} }{2}[/tex].

Area of shaded triangle: [tex]\frac{1}{2} (\frac{\sqrt{2y} }{2})(\frac{\sqrt{2y} }{2})[/tex].

This is equal to: [tex]\frac{1}{2}(\frac{2y}{4})[/tex], or y/4.

Let me know if this helps :)

Answer:

4

Step-by-step explanation:

First, substitute x for 3 and simplify

(9 + 8) - (6 + 7)

Simplify again

17 - 13

Simplifly once more

4

answer 4

method: if x=3

Sol (3(3)+8) - (2(3)+7) changed x=3

Then multiply =(9+8) - (6+7)

Add and subtract = 17-13

Then subtract and you will have your answer =4

Hope it helped

Please mark brainliest :)

Answer:

Brainliest!

Step-by-step explanation:

1/3 is going to be like

1^2

------

3^2

= 1/9

Answer:

262

Step-by-step explanation:

3(90) - 8 = x

270-8 = x

262 = x

Answer:

5 dias

Step-by-step explanation:

10/2= 5

Answer:

Tardarán:

5 días

Step-by-step explanation:

Se trata de una regla de tres:

2 obreros son a 10 días

4 obreros son a W días

W = 10*2/4

W = 5  

If it's up then add then up , or you can trace it and move it up with paper.

Answer:

U'(-3, 1), M'(-1, 4), L'(-2, 0)

Step-by-step explanation:

To do a translation of 5 units up, add 5 to the y-coordinate of each point.

U(-3, -4) ----> U'(-3, -4 + 5) = U'(-3, 1)

M(-1, -1) ----> M'(-1, -1 + 5) = M'(-1, 4)

L(-2, -5) ----> L'(-2, -5 + 5) = L'(-2, 0)

Answer: The translated points are U'(-3, 1), M'(-1, 4), L'(-2, 0)

Answer:

  B

Step-by-step explanation:

The lowest price in column 2 is $1.95 per loaf, at store B.

Answer: 48.75

Step-by-step explanation:

Answer:

121

Step-by-step explanation:

5 Raise to the power of 3

125-4=

121

Answer:

Step-by-step explanation:

121 simplify the equation

Answer:

41

Step-by-step explanation:

BDA = DBC+CBA

84=5x+3 + 6x-7

Combine like terms

84 = 11x-4

Add 4 to each side

84+4= 11x -4+4

88 =11x

Divide each side by 11

88/11 = 11x/11

8 = x

We want angle  ABC

ABC = 6x-7

       =6*8 -7

      =48-7

     =41

Answer:

∠ABC   = 41°

∠ DBC  = 43°

Step-by-step explanation:

6x-7 + 5x+3 = 84

6x + 5x = 84 - 3 + 7

11x = 88

x = 8

∠ABC   = 6x-7

           = 6*8 - 7

           = 48 - 7

           = 41°

∠ DBC = 5x + 3

           = 5*8 + 3

           = 40 + 3

            = 43°

Answer:

$11.57

Step-by-step explanation:

First, find the total amount they need to pay.

Add the bill for lunch and the tip amount.

bill + tip

The bill was $29.46 and the tip was $5.25

$29.46 + $5.25

$34.71

The total amount with tip is $34.71

Next, find the amount each person should pay.

They want to divide the amount equally. There are 3 total people ( Jack + 2 friends = 3 people). Divide the total ($34.71) by 3.

$34.71 /3

$11.57

Each person should pay $11.57

Answer:

42, 44, 46, 48

Step-by-step explanation:

Let x be the first number. Then x + x + 2 + x + 4 + x + 6 = 180.

We can combine like terms, getting 4x + 12 = 180.

Then we get x as 42.

The numbers are 42, 44, 46, 48.

Answer:

133.33 meters per minute.

#FreeMelvin

======================================================

Work Shown:

x = year

y = amount of hydrocarbon emissions in grams, per mile driven

m = rate of change = slope

m = (y2 - y1)/(x2 - x1)

m = (0.8 - 3.4)/(2007 - 1972)

m = -2.6/35

m = -0.0742857 approximately

The approximate rate of change is about -0.0742857 grams per year. The negative rate of change indicates the per mile hydrocarbon amount has gone down by about 0.0742857 grams each year.

Answer:

$0.50

Step-by-step explanation:

Suppose that a person  bought  six T-bone steaks that cost $15.99 per pound

The weight that is listed on the package is 5.77 pounds.

The scale that weighed the package is accurate to within 1/32 pound

Let assume x is the range of the  weight listed on the package,

Then:

[tex]|x-5.77| \leq \dfrac{1}{32} \ --- \ (1)[/tex]

Using the method of absolute value inequality;

[tex]- \dfrac{1}{32} \leq x -5.77 \leq \dfrac{1}{32}[/tex]

[tex]5.77- \dfrac{1}{32} \leq x \leq \dfrac{1}{32}+ 5.77[/tex]

[tex]5.77- 0.03125\leq x \leq 0.03125+ 5.77[/tex]

[tex]5.73875 \leq x \leq 5.80125[/tex]

The amount per kilogram undercharged or overcharged is :

[tex]=\dfrac{1}{32} \times 15.99[/tex]

= $0.50

Answer:

The correct answer is z = -6.

Step-by-step explanation:

1/3 (2z + 6) = 1/4 (z - 2)

The first step I am going to take is to multiply both sides of the equation by 12 (the least common multiple of 3 and 4).  This will eliminate the fractions on both sides of the equations and make the numbers much easier to work with.

4 (2z + 6) = 3 (z - 2)

Next, we can use the distributive property to eliminate the parentheses.  This means multiplying each term inside the parentheses by the coefficient on the outside of the parentheses.

8z + 24 = 3z - 6

Now, we can subtract 3z from both sides of the equation.

5z + 24 = - 6

Next, we should subtract 24 from both sides of the equation.

5z = -30

Finally, we can divide both sides of the equation by 5.

z = -6

Therefore, the correct answer is z = -6.

Hope this helps!

Answer:

Decimal Number System

Step-by-step explanation:

5.12  has a decimal in it. Therefore, it belongs to the decimal number system.

Answer:

the answer is 150 days

Step-by-step explanation:

that is the answer