Identify which functions have complex roots by selecting the function names on the provided coordinate plane.

The proportional graph that corresponds to the situation is: Graph C.

A proportional graph is a straight line graph with a constant of proportionality, k = y/x. The equation of the graph is defined as, y = kx.

The equation, M = 3n, has a constant of proportionality as, k = 3.

In graph C, using a point on the line, (400, 1,200), the constant of proportionality, k = 1,200/400

k = 3.

Therefore, the answer is: C.

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Mauricio takes 24 hours, and Alyson takes 24/5 hours if the Mauricio does a job in 6 hrs less time than Alyson.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Let x and y be the time to take the job for Mauricio and Alyson respectively

1/x = 1/y - 1/6 ..(1)

1/x + 1/y = 1/4 ..(2)

After solving the equations:

[tex]\rm \dfrac{1}{\dfrac{6y}{6-y}}+\dfrac{1}{y}=\dfrac{1}{4}[/tex]

y = 24/5 hours

x = 24 hours

Thus, Mauricio takes 24 hours, and Alyson takes 24/5 hours if Mauricio does a job in 6 hrs less time than Alyson.

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Hello and Good Morning/Afternoon

Let's take this problem step by step:

What the problem wants to find:

  ⇒ area of a parallelogram

What is the area formula of the parallelogram:

  ⇒ Area = Base * Height

Let's gather the information necessary:

Let's solve:

   ⇒ Area = 12 * 11 = 132 in²

Answer: 132 in²

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Answer:

132 inches squared

Step-by-step explanation:

Area is 132 inches squared

Method 1:

Area of parallelogram = base x height = 11inches x 12 inches = 132 inches squared

Method 2:

Move the triangle divided by the dotted line on the right to the left.

It becomes a rectangle of 11 inches by 12 inches. 11 inches x 12 inches = 132 inches squared.

[tex]\rm y\ \le2x+1[/tex] , [tex]\rm y\le-x+3[/tex]  , Option B represents the the graph given .

An Inequality is a statement that connects two algebraic expression by an inequality operator.

To determine the solution of the inequalities , the common area that comes under the inequality will be found

The graph plotted using

y ≥ 2x +1 and y ≥ - x+3

it doesn't represent the solution as given in the question graph , graph no.1

The graph given in the question is the solution of the  set of inequalities

This can be understood by Graph 2

[tex]\rm y\ \le2x+1[/tex]

[tex]\rm y\le-x+3[/tex]

As all the inequalities of all the options were plotted  and the solution to the system of inequality is represented by the graph

Therefore Option B is the correct answer.

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The given system of equation has no solution.

The set of equation that have common solution is called the system of equation

The equation given are

- 7x + 7y = 7

2x - 2y = -18

On simplifying the equations

- x + y = 1

x - y = -9

On adding these equations there is no solution

as

[tex]\rm \dfrac {a_1}{a_2 } = \dfrac{b_1} {b_2} \ne \dfrac{c_1}{c_2}[/tex]

The given system of equation has no solution.

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Answer: [tex]57^{\circ}[/tex]

Step-by-step explanation:

[tex]\triangle ACB \cong \triangle DBC[/tex], so by CPCTC, [tex]x=57^{\circ}[/tex]

Answer:

he attempted 30 shots

Step-by-step explanation:

60 percent of 30 is 18 and 40 percent of 30 is 12 so you at 12 plus 18 and get 30

The temperature in degrees Fahrenheit outside at various times throughout the day is given by the inequality x < 69°F

An equation is an expression that shows the relationship between two or more numbers and variables.

A number line is a straight line with numbers placed at equal intervals.

Let x represent the temperature in degrees Fahrenheit, from the number line:

x < 69°F

The temperature in degrees Fahrenheit outside at various times throughout the day is given by the inequality x < 69°F

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1) given

2) definition of an angle bisector

3) reflexive

4) [tex]\triangle ABD \cong \triangle CBD[/tex] (ASA)

5) [tex]\angle A \cong \angle C[/tex] (CPCTC)

The value of the missing triangle sides and angles are XY = 20.9, YZ = 12.4 and ∠Y = 119°

An equation is an expression that shows the relationship between two or more numbers and variables.

Sine rule is used to show the relationship between the sides and angles of a triangle.

In the triangle XYZ:

∠X + ∠Y + ∠Z = 180° (sine rule)

22 + 39 + ∠Y = 180

∠Y = 119°

Using sine rule:

XY / sinZ = XZ / sinY

XY / sin(39) = 29 / sin(119)

XY = 20.9

Also:

YZ / sinX = XZ / sinY

YZ / sin(22) = 29 / sin(119)

YZ = 12.4

The value of the missing triangle sides and angles are XY = 20.9, YZ = 12.4 and ∠Y = 119°

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The scientific notation for the given information is 1 × [tex]10^{-10}[/tex]. Thus, one angstrom is written as 1 × [tex]10^{-10}[/tex] and denoted by A°.

Scientific notation is used to write very large numbers or very small numbers in a simple way that is easy to understand and easy for calculate.

A number is written in scientific notation as follows:

Scientific notation: m × [tex]10^n[/tex]

where m is the absolute value of the number or a decimal number and n is the power and 10  is the base.

The given information is,

One Angstrom = ten billionths part of a meter

Since ten billion = [tex]10^{10}[/tex]

So, ten billionth part of a meter = 1 ×1/[tex]10^{10}[/tex] = 1 × [tex]10^{-10}[/tex].

therefore, the scientific notation for one Angstrom is 1 × [tex]10^{-10}[/tex].

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Hello !

Answer:

4x² + 3x + 4

Step-by-step explanation:

 (3x² + 2x + 3) + (x² + x + 1)

= 3x² + 2x + 3 + x² + x + 1

= 3x² + x² + 2x + x + 3 + 1

= 4x² + 3x + 4

Answer:

Step-by-step explanation:

hello :

√4=2 and √8=2√2

√4(√8+3). =2(2√2+3)=4√2+6

Answer:

4√2 +6

Step by step explanation:

To find the product of the the above question, we open bracket.

√4(√8+3)

removing brackets.

√4×√8 + √4×3

2√8 + 2×3

2× √4×√2 + 6

2× 2 √2 + 6

4√2 + 6

Answer:

1st option

Step-by-step explanation:

the area of the shaded portion is calculated as

area of sector - area of white Δ

area of sector = area of circle × fraction of circle

                        = πr² × [tex]\frac{90}{360}[/tex] ( r is the radius )

                        = π × 8² × [tex]\frac{1}{4}[/tex]

                       = 64π × [tex]\frac{1}{4}[/tex]

                       = 16π in²

area of Δ = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = h = 8

area of Δ = [tex]\frac{1}{2}[/tex] × 8 × 8 = [tex]\frac{1}{2}[/tex] × 64 = 32 in²

then

area of shaded portion = (16π - 32 ) in²

The equivalent expressions of 22c + 33d are (a), (c) and (e)

The expression is given as:

22c + 33d

Factor out 11 from the expression

11(2c + 3d)

Multiply by 1

1 * 11(2c + 3d)

Express 1 as -1 * -1

-1 * -1 * 11(2c + 3d)

Evaluate the product

(-11) * (-2c - 3d)

Also, we have:

22c + 33d

Multiply by 1

(22c + 33d) * 1

Express 1 as 3/3

(22c + 33d) * 3/3

Evaluate the product

(66c + 99d) * 1/3

Hence, the equivalent expressions are (a), (c) and (e)

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Answer:

1/6, 7/18, 4/9, 5/6, 5/9, 5/9

Step-by-step explanation:

Answer:

x<−7 and x>−11

Step-by-step explanation:

Let's solve your inequality step-by-step.

5(|x+9|)<10

Step 1: Divide both sides by 5.

5(|x+9|)/5 < 10/5

|x+9|<2

Step 2: Solve Absolute Value.

|x+9|<2

We know x+9<2 and x+9>−2

x+9<2(Condition 1)

x+9−9<2−9(Subtract 9 from both sides)

x<−7

x+9>−2(Condition 2)

x+9−9>−2−9(Subtract 9 from both sides)

x>−11

Answer:

x<−7 and x>−11

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{5|x + 9| < 10}[/tex]

[tex]\huge\textbf{Solving:}[/tex]

[tex]\mathbf{5|x + 9| < 10}[/tex]

[tex]\huge\textbf{DIVIDE 5 to BOTH SIDES:}[/tex]

[tex]\mathbf{\dfrac{5|x \ + \ 9|}{5} = \dfrac{10}{5}}[/tex]

[tex]\huge\textbf{Simplify it!}[/tex]

[tex]\mathbf{|x + 9| < 2}[/tex]

[tex]\huge\textbf{Solve the absolute value:}[/tex]

[tex]\mathbf{|x + 9| < 2}[/tex]

[tex]\huge\textbf{Possibly we know that:}[/tex]

[tex]\mathbf{x + 9 < 2 \ and\ we\ know\ that \ x+9 > -2}[/tex]

[tex]\huge\textbf{Solving for:}[/tex]

[tex]\mathbf{x + 9 < 2}[/tex]

[tex]\huge\textbf{SUBTRACT 9 to BOTH SIDES:}[/tex]

[tex]\mathbf{x + 9 - 9 < 2 -9}[/tex]

[tex]\huge\textbf{Simplify it!}[/tex]

[tex]\mathbf{x < -7}[/tex]

[tex]\huge\textbf{Solving for:}[/tex]

[tex]\mathbf{x + 9 > -2}[/tex]

[tex]\huge\textbf{SUBTRACT 9 to BOTH SIDES:}[/tex]

[tex]\mathbf{x + 9 - 9 > -2 - 9}[/tex]

[tex]\huge\textbf{Simplify it!}[/tex]

[tex]\mathbf{x > -11}[/tex]

[tex]\huge\textbf{Answer(s):}[/tex]

[tex]\huge\boxed{\mathsf{x < -7\ or\ x > -11}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

are we supposed to solve the graph

Step-by-step explanation:

Answer:

last choice

angle 1 and 7 are alternet xterior angles

Step-by-step explanation:

The linear function that gives the rule for the table is: y = -8x + 2.

A linear function is modeled by:

y = mx + b

In which:

In this problem, when x = 0, y = 2, hence the y-intercept is of b = 2. When x increases by 1, y decreases by -8, hence the slope is of m = -8, and the rule is given by:

y = -8x + 2.

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Answer:

1. graphing a linear using slope

2. Determine the learning goals of your tutoring session

            - convert equations to slope-intercept forms.

            - graph linear equations from the slope-intercept form.

3. Provide a brief overview of the graphing method that you will be demonstrate.

          - use this formula y=mx+b to make the equation into slope intercept form

          - Then graph the line equation using the slope intercept form

4.  Plot the line Y = 2x+3 starting with the y-intercept and then using the slope

Steps on how to do number 4

1. Find the y-intercept = b of the equation y = mx + b.

2. Plot the y-intercept. The point will be (0, b).

3. Find the slope=m of the equation y = mx + b.

4. Make a single step, using the rise and run from the slope. (Make sure you go up to the right if it's positive and down to the right if it's negative.)

5. Connect those two points with your line.

Should look like the first graph below

5. Plot the line y= -3x+2  starting with the y-intercept and then using the slope.

Answer key

Use these steps

Find the y-intercept = b of the equation y = mx + b.

2. Plot the y-intercept. The point will be (0, b).

3. Find the slope=m of the equation y = mx + b.

4. Make a single step, using the rise and run from the slope. (Make sure you go up to the right if it's positive and down to the right if it's negative.)

Second graph is what number 5 question is supposed to look like

The initial sum of money in the account is 9000

The function is given as:

A = 9, 000(1.03)^t

The above function is an exponential function.

An exponential function is represented as:

A = ab^t

Where

a represents the initial value

By comparison;

a = 9000

Hence, the initial sum of money in the account is 9000

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The total expenditure is Rs 72,000.

The total expenditure can be determined using this equation:

(total amount spent on a good x total value of circle) / degree of the sector of good

(8000 x 360) / 40 = Rs 72,000

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Answer:

P' (- 3, 4 ) , Q' (2, 7 )

Step-by-step explanation:

the line passing through the origin and (4, 4 ) has equation

y = x

a point reflected in the line y = x

(x, y ) → (y, x ) , then

P (4, - 3 ) → P' (- 3, 4 )

Q (7, 2 ) → Q' (2, 7 )

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

sin([tex]cos^{-1}[/tex] [tex]\frac{\sqrt{3} }{2}[/tex] )

using the sides of the 30- 60- 90 triangle

with legs 1, [tex]\sqrt{3}[/tex] and hypotenuse 2 , then

[tex]cos^{-1}[/tex] [tex]\frac{\sqrt{3} }{2}[/tex] = 30° and

sin30° = [tex]\frac{1}{2}[/tex]

answer:

1/2

Step-by-step explanation:

sin 30º=-√3/2, 1/2 or π/6

cos=√3/2

sin= 1/2

The kind of statistics that provides a description that illuminates some characteristic of a numerical dataset and has an estimate is called descriptive.

Descriptive statistics is a branch of statistics field that sheds light on a given feature of datasets.

Descriptive statistics uses numerical coefficients to analyze datasets that may represent the overall population or only a sample.

In conclusion, the statistics that provides a description that illuminates some characteristic of a numerical dataset is called descriptive.

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Answer: 30506.49303

Step-by-step explanation:

Carter's salary is $1.1138⁶ more than Salma's salary.

To perform the difference, we need to be able to take a common factor.

We know that Salma's salary is $6.2×10⁴

While Carter's salary is $1.2×10⁶

To get the same common factor, 10⁴, we can divide and multiply Carter's salary by 100, so we get:

[tex]1.2*10^6*\frac{100}{100} = (1.2*100)*(10^6/100) = 120*10^4[/tex]

Then Carter's salary is $120*10⁴

The difference between Carter's and Salma's salaries is:

$120*10⁴ -  $6.2×10⁴ = $113.8*10⁴

If we return to the scientific notation, we get:

$113.8*10⁴  = $1.1138⁶

This means that Carter's salary is $1.1138⁶ more than Salma's salary.

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7.6 expressed in p/q form is 7 3/5.

7.6 is in decimal. The decimal is a number that consists of integers and non integer. The integers are to the left of the decimal point and the non-integers are to the right of the decimal point.

In order to convert 7.6 to a fraction, note that 7 is the whole number while 0.6 is the non integer.

7.6 = 7 + 6/10

7 3/5

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Answer:

46,386=Forty six thousand three hundred eighty six.

1,020,615=One million twenty thousand and six hundred fifteen.