Write the slope-intercept form of the equation of the line.

problem 1: x^2 + 4 = 0 , x^2 = -4 , this problem has no real solution because x = 2i which is an imaginary number

problem 2: x^2 +x -6 = 0 , (x + 3)(x - 2) =0 , x = 2 or x = -3

problem 3: x^2 -6x +7 =0 , (x^2 -6x +9) - 2 =0 , (x - 3)^2 = 2 , x-3 = √2 , x = 3+√2 or x - 3 = -√2 , x = 3 - √2

Answer:

A. 2y

B. (xy − 10)(2x²y + 18y)

Step-by-step explanation:

Part A: Rewrite the expression so that the GCF is factored completely.

2x³y² + 18xy² − 20x²y − 180y

Factoring y out, we have

(2x³y + 18xy − 20x² − 180)y

Factoring 2 out, we have

(x³y + 9xy − 10x² − 90)2y

So, the GCF is 2y and the expression factored is (x³y + 9xy − 10x² − 90)2y

Part B: Rewrite the expression completely factored.

2x³y² + 18xy² − 20x²y − 180y

Rearranging, we have

2x³y² − 20x²y + 18xy²  − 180y

Separating them into brackets, we have

(2x³y² − 20x²y) + (18xy²  − 180y)

Factorizing the expressions in bracket, we have

(xy − 10)2x²y + (xy  − 10)18y

collecting like terms, we have

(xy − 10)(2x²y + 18y)

Answer:

c = $1116/36

c = $31

Step-by-step explanation:

the cost of each jacket can be determined by dividing the total cost of the 36 jackets by the number of jackets bought

cost of each jacket = total order cost / total number of jackets bought

$1116 / 36 = $31

Each jacket costs $31

Answer:

832

Step-by-step explanation:

multiply the original number by 2, seven times.

Answer:

30 degrees

Step-by-step explanation:

its obtuse which is 90 degrees angle

Answer:

50

Step-by-step explanation:

all triangles angles add up to 180, add up the other 2 sides, then subtract from 180, 130, which means because of how triangles work, the other side must make it equal to 90, so 130+50=180.

Answer:

35.6

Step-by-step explanation:

Answer:

1.22%

Step-by-step explanation:

150 x 1.22 = 183

Answer:

64

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

Answer:

266.24 Ounces

Step-by-step explanation:

By taking the numbers provided as the inital liquid value and the additional subtraction of 3.84 ounces per day, we get the equation:

y = -3.84(x) + 320

By using this equation we will then add the 14 days as x to get

y = -3.84(14) + 320

y = -53.76 + 320

y = 266.24

Answer: $400,000

Step-by-step explanation:

Let the salesperson's total amount of sales, in dollars, for this year be represented by x.

Therefore, 60% of x = $240,000

60/100 × x = $240,000.

0.6 × x = $240,000..

x = $240000 / 0.6

x = $400,000

Therefore, the salesperson's total amount of sales, for this year is $400,000.

Answer:

No

Step-by-step explanation:

Counting numbers are considered to be whole numbers greater than zero. Whole numbers are positive numbers without decimals or fractions, so 12, 15, and 124 can be classified as counting numbers, but not 0.1.

hope this helps!!!

Answer: it’s D

Step-by-step explanation:

The Linear Inequality - 4x - y <- 6 represents option d, of the solution set.

What is Linear Inequality?

Expressions using linear inequalities compare any two values using inequality symbols like "," ">," "," or "." These values might be either numerical, algebraic, or both. Examples of numerical inequality include 1011 and 20>17, whereas algebraic inequalities include x>y, y19-x, and x z > 11 (also called literal inequalities). The mathematical equation when both sides are not equal is called an inequality. Inequality occurs when a connection compares two expressions or two numbers in an unequal manner. In this instance, any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to a symbol (), less than or equal to a symbol (), or not equal to a symbol (), is used in place of the equal sign "=" in the phrase. Polynomial inequality, rational inequality, and absolute value inequality are the many sorts of inequalities. The symbols "and ">" signify tight inequalities, whereas " and "signify slack inequalities. A linear inequality looks precisely like a linear equation, but the symbol connecting two expressions is different.

In the given question, we have given the graph of the inequality  4x - y <- 6, So, we need to find the best suitable graph that represents the graph of the given Inequality.

So, the Inequality is:

- 4x - y <- 6.

So, we can substitute the value of x and y;

So, substitute x = 1;
So, The y value will be less than 2;

That is:

y < 2;

Again let's put the value of x = -1;

we get the value of y  as less than 10.

y<10;

So, by substituting the values as mentioned we can see that the value of y is decreasing.

So, by plotting the values in the graph, we can get the correct graph.

Hence, The correct answer is option d.

To learn more about Linear Inequality, visit:

https://brainly.com/question/24372553

#SPJ13

Answer:

[tex]x=-1.25y-3.75[/tex]

Step-by-step explanation:

try adding 6 to both sides

-4x=5y+15

try dividing both sides by -4

x=-1.25y-3.75

Answer:

1. (2,3)

2. (7,-2)

3. (-4,-1)

4. No solutions

Step-by-step explanation:

Solve using substitution or elimination.

Answer:

The second one, the third one.

Step-by-step explanation:

Answer:

8/32;

Step-by-step explanation:

8/32 is equivalent to 1/4 which percentage is 25

Answer:

Step-by-step explanation:

8.180

9.34.44

10. 885.6

Answer:

sure.

Step-by-step explanation:

dm on discord. xcyz#6022

anime is the way leave the earth for your waifu

Answer:

-1

Step-by-step explanation:

Please enclose the fractional coefficient inside parentheses:

m(x) = (-5/3)x + 4

To find m(3), replace x in the above equation with 3:

m(3) = (-5/3)(3) + 4  =  -5 + 4 = -1

Answer:

3/20 m²

Step-by-step explanation:

Here is the complete and clear question :

Evan bought A rectangular doormat that was 1/2 a meter long and 3/10 a meter wide. What is the area, in square meters, of the doormat?

Characteristics of a rectangle

Area of a rectangle = length x breadth

Area of the rectangular doormat = [tex]\frac{1}{2}[/tex] × [tex]\frac{3}{10}[/tex] = [tex]\frac{3}{20}[/tex] m²

Responda:

1075 tijolos

Explicação passo a passo:

Dado que:

Número de tijolos produzidos Mensalmente = 5.000 tijolos

A quantidade de tijolos produzidos por licença = 3925

O número de tijolos que ainda faltam no valor mensal desejado:

Quantidade de produção mensal - quantidade produzida por licença

5000 - 3925 = 1075 tijolos

Answer:

sin(x)=[tex]\sqrt{119\\}[/tex] / 12, cos(x)=5/12, tan=[tex]\sqrt{119\\}[/tex] / 5

Step-by-step explanation:

segment YZ is length a, we need to find a

segment XZ is length 5

segment XY is length 12

XYZ is a right triangle, so a^2 + b^2 = z^2, so

a^2 + 5^2 = 12^2, simplify

a^2 + 25 = 144, subtract 25

a^2 = 119

a = [tex]\sqrt{119\\}[/tex]

then we can determine all the trig ratios

soh - cah - toa

sin = opp/hyp, cos=adj/hyp, tan=opp/adj

sin(x)=[tex]\sqrt{119\\}[/tex] / 12, cos(x)=5/12, tan=[tex]\sqrt{119\\}[/tex] / 5

Answer: The second one

Step-by-step explanation: Y-int is -2 and the slope is 1/5 so we know its going up but very slowly

Answer:

The area of the warehouse B is 1150 square feet.

Step-by-step explanation:

Let [tex]x[/tex], [tex]y[/tex] are the width and length of the warehouse A, in inches. The areas of the each warehouse are described below:

[tex]A_{A} = x\cdot y[/tex] (1)

[tex]A_{B} = \left(\frac{1}{2}\cdot x \right)\cdot \left(\frac{1}{3}\cdot y \right)[/tex] (2)

Where:

[tex]A_{A}[/tex] - Area of the warehouse A, in square inches.

[tex]A_{B}[/tex] - Area of the warehouse B, in square inches.

If we know that [tex]A_{A} = 6900\,ft^{2}[/tex], then by (1) and (2) we have the following equation:

[tex]A_{B} = \frac{1}{6}\cdot A_{A}[/tex]

[tex]A_{B} = 1150\,ft^{2}[/tex]

The area of the warehouse B is 1150 square feet.

Answer:

16

Step-by-step explanation:

Set up the equation: g/2 = 8

We want to get 'g' by itself, so we need to reverse the division of two. To do that, we multiply (division and multiplication go together, addition and subtraction go together) both sides by two (what you do to one side of an equation, you must do to the other).

End up with: g = 16

Hope this helps :)

Answer:

5:15 pm

Step-by-step explanation:

Hope this helps!

Answer:

1a. y= -6x+30

1b. y= -6x-22

2a. y= 3x+2

2b. y= -1x+4