Simplify the expression (2−3i) (5+i) by distributing. Express your answer in a+bi form, Step by Step.

Answer:

The answer is C

Step-by-step explanation:

We apply the given formula: y= 2x + 1.

0 x 2 = 0 + 1 = 1, so A is incorrect.

1 x 2 = 2 + 1 = 3, C is the only one with 3 as the second number, so C is correct

Answer:

Gross pay = $2496

Step-by-step explanation:

Erica earns $24 an hour. She works extra shifts and earns time and a half for each hour.

Her extra earning starts over 40 hours.

Therefore, her extra earning above 40 hours = 1.5 × 24

                                                                           = $36 per hour

She worked for 44 hours in last week, her total earnings for last week

= (40 × $24) + (4 × $36)

= 960 + 144

= $1104

She worked for 52 hours this week, her total earnings for this week

= (40 × $24) + (12 × $36)

= 960 + 432

= $1392

Since, Erica was paid biweekly,

Her gross income = $1104 + $1392

                              = $2496

Answer:

4+14= 18 this is the answer

Step-by-step explanation:

2(7)=14+4=18

you multiply the 2 and 7 and then add the 4

Answer:

18

Step-by-step explanation:

what this wants you do do is use PEMDAS. the number in parentheses always means to multiply. first youre gonna multiply 2 by 7 which gives you fourteen. then add 4 to 14 which gives you 18.

hope this helped! <3

Answer:

Step-by-step explanation: I dont know actually

Answer:

13.5

Step-by-step explanation:

The two triangles are similar

According to the question

The equation is

⅔=11/x+3

2x+6=33

2x=27

x=13.5

Answer: AB=20, BC=14

Step-by-step explanation:

set AB together with the side congruent to it (which is DC)

3x-7=x+11

subtract x and add 7 to both sides

2x=18

divide both sides by 2

x=9

plug 9 in for AB.

3(9)-7

27-7=20.

now do the same for BC

Answer:

AB = 20

BC = 14

Step-by-step explanation:

ABCD is a parallelogram

Opposite sides of a parallelogram are equal.

Therefore,

AB = DC

3x - 7 = x + 11

3x - x = 11 + 7

2x = 18

x = 18/2

x = 9

AB = 3x - 7 =3*9 - 7 = 27 - 7 = 20

7y - 7 = 3y + 5

7y - 3y = 7 + 5

4y = 12

y = 12/4

y = 3

BC = 7y - 7 = 7*3 - 7= 21 - 7 = 14

Answer:

5/100×$1500= 75 dollar

as it is annual income we can solve the answer relative to year and considering it as 1 so the interest would be 75 annually

Answer:

4%

Step-by-step explanation:

The percentage of the people polled like playing golf =( people that liked playing golf / total number of people polled) x 100

(4/100) x100 = 4%

Answer:

the remainder is 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

A

Step-by-step explanation:

35

Answer:

We conclude that:

[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}[/tex]

Least Common Multiple of x+4, x+6:  (x+4) (x+6)

Adjusting fractions based on the LCM

[tex]=\frac{\left(x+2\right)\left(x+6\right)}{\left(x+4\right)\left(x+6\right)}-\frac{\left(x-1\right)\left(x+4\right)}{\left(x+6\right)\left(x+4\right)}[/tex]

since the denominators are equal, combine the fractions:

[tex]\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]

so the expression becomes

[tex]=\frac{\left(x+2\right)\left(x+6\right)-\left(x-1\right)\left(x+4\right)}{\left(x+4\right)\left(x+6\right)}[/tex]

[tex]=\frac{x^2+8x+12-\left(x-1\right)\left(x+4\right)}{\left(x+4\right)\left(x+6\right)}[/tex]

[tex]=\frac{x^2+8x+12-x^2-3x+4}{\left(x+4\right)\left(x+6\right)}[/tex]

simplify

[tex]=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]

Therefore, we conclude that:

[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]

Answer:

Step-by-step explanation:

first one A and second one C

Answer:

7.5

Step-by-step explanation:

3 + 9 + 13 + 8 + 10 + 2 = 45

There are 6 numbers so we divide 45 by 6

45/6 = 7.5

answer: 5b

the exponents basically cancel themselves out. :)

9514 1404 393

Answer:

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

__

  [tex]\left(\dfrac{a^3b^4}{a^2b}\right)^6= (a^{3-2}b^{4-1})^6 =a^{1\cdot6}b^{3\cdot6}=\boxed{a^6b^{18}}[/tex]

Comparing to the given form, we see x=6, y=18.

Answer:

How long is the snail, what is its terminal velocity, what kind of snail, and also wheres the the graph or picture?

Step-by-step explanation:

Answer:

nine is a number added to four

Answer:

nine is a number added to four

Answer:

9.8

Step-by-step explanation:

Answer:

0.8= 2.1448=2.1379

Step-by-step explanation:

Answer:

0.8/2.1448/2.1379

Step-by-step explanation:

I got right(Plato/Edmentum

Answer:

it is B and E

Step-by-step explanation:

The table shows a proportional relationship between the milliliters (\text{mL})(mL)left parenthesis, start text, m, L, end text, right parenthesis of red paint and milliliters of yellow paint to make a certain shade of orange.

Paint mixtures

Red (\text{mL})(mL)left parenthesis, start text, m, L, end text, right parenthesis Yellow (\text{mL})(mL)left parenthesis, start text, m, L, end text, right parenthesis

10.510.510, point, 5 282828

7.57.57, point, 5 202020

999 242424

? ?

A row of values is missing in the table.

Which of the following mixtures of paint could be used as the missing values in the table?

Choose 2 answers:

Choose 2 answers:

(Choice A)

A

1.25\,\text{mL}1.25mL1, point, 25, start text, m, L, end text red and 5\,\text{mL}5mL5, start text, m, L, end text yellow

(Choice B)

B

1.5\,\text{mL}1.5mL1, point, 5, start text, m, L, end text red and 4\,\text{mL}4mL4, start text, m, L, end text yellow

(Choice C)

C

8\,\text{mL}8mL8, start text, m, L, end text red and 3\,\text{mL}3mL3, start text, m, L, end text yellow

(Choice D)

D

7\,\text{mL}7mL7, start text, m, L, end text red and 16\,\text{mL}16mL16, start text, m, L, end text yellow

(Choice E)

E

4.5\,\text{mL}4.5mL4, point, 5, start text, m, L, end text red and 12\,\text{mL}12mL12, start text, m, L, end text yellow

Answer:

Step-by-step explanation:

in this expression we have

two variables: 6x and 10p

one constant 5

3 terms

Answer:

the slope will be 5/6 and the y- intercept is going to be (0,-5)

Step-by-step explanation:

use the slope-intercept form y=mx+b to find the slope (M) and the y-intercept (b)

Answer:

y=-2.5x-8.5

Step-by-step explanation:

Answer:

Mr. Lopez delivers 1.5 tons of dog food to the animal shelter.

Step-by-step explanation:

Mr Lopez picks up 2 pallets of dog food to deliver to the animal shelter. Each pallet contains 40 bags of dog food, and the dog food weighs 37 1/2 pounds pet bag.

The weight of 1 bag of dog food = [tex]37\frac{1}{2}\text{ pounds }[/tex]

The weight of 40 bags of dog food = [tex]40 \times 37\frac{1}{2} =1500 \text{ pounds }[/tex]

Each pallet weighs = 1500 pounds

2 pallets weighs = 1500×2=3000 pounds.

We know that 2000 pounds = 1 ton

[tex]\frac{3000}{2000} \text{ pounds}=1.5 \text{ tons}[/tex]

Hence, Mr. Lopez delivers 1.5 tons of dog food to the animal shelter.

Answer:

Length

√45 units

Distance

√13 units

Step-by-step explanation:

Here, we want to calculate the length and the distance between the points

To calculate the length, we need the coordinates of the points

These are;

(1,-2) and (4,4)

the length can be calculated using the formula for the distance between two points

Mathematically, that will be;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(1-4)^2 + (-4-2)^2

D = √(9 + 36)

D = √45 units

We use the same formula to get the distance between the two given points

that will be;

D = √(5-3)^2 + (-2-1)^2

D = √(2)^2 + (3)^2

D = √13 units