MATHEMATICS MIDDLE SCHOOL

Which expressions would complete this equation so that it has infinitely many solutions?8 + 2(8x – 6) =
Choose exactly two answers that are correct
A. 2(4x + 7)
B. 9x – 10
C. 16x – 4
D. 4(4x – 1)

Answers

Answer 1
Answer: A) 8 + 2(8x - 6) = 2(4x + 7) is x = (9)/(4)
B) 8 + 2(8x - 6) = 9x - 10 is -(6)/(7)
C) 8 + 2(8x - 6) = 16x - 4 has infinite solutions.
D) 8 + 2(8x - 6) = 4(4x - 1) has infinite solutions.

Answer: C and D

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solve system by substitution

y=3x-20

y=-x^(2)+34

Answers

\begin{cases} y=3x-20 \n y=-x^2+34 \end{cases}\n \n \begin{cases} y=3x-20 \n3x-20=-x^2+34 \end{cases}\n \n\begin{cases} y=3x-20 \nx^2+3x-20-34=0 \end{cases}\n \n\begin{cases} y=3x-20 \nx^2+3x-54=0 \end{cases}

\begin{cases} y=3x-20 \nx^2+3x-54=0 \end{cases} \n \nx^2+3x-54=0 \n \na=1, \ \ b=3, \ \ c= -54 \n \n \Delta =b^2 -4ac =3^2-4*1*(-54)=9+216=225 \n \nx_(1)=(-b-√(\Delta ))/(2a) =(-3-√(225))/(2)=(-3-15)/(2)= (-18)/(2)=-9

x_(2)=(-b+√(\Delta ))/(2a) =(-3+√(225))/(2)=(-3+15)/(2)= (12)/(2)=6

\begin{cases} y=3x-20 \n x=-9 \end{cases}\ \ \vee \ \ \begin{cases} y=3x-20 \nx=6 \end{cases}\n \n \begin{cases} y=3*(-9)-20 \n x=-9 \end{cases}\ \ \vee \ \ \begin{cases} y=3*6-20 \nx=6 \end{cases}\n \n \begin{cases} y=-27-20 \n x=-9 \end{cases}\ \ \vee \ \ \begin{cases} y=18-20 \nx=6 \end{cases}\n \n \begin{cases} y=-47 \n x=-9 \end{cases}\ \ \vee \ \ \begin{cases} y=-2\nx=6 \end{cases}

a picture has dimensions of 5cm by 10 cm. if you want to enlarge the picture to a size of 31 1/2 cm by 65 by what fraction would you multiply the dimensions?

Answers

5/10 , 31.5/65Just divide the larger dimensions by the original one:31.5/5= 6.3And...65/10=6.5Therefore your fraction is 6.3/6.5

A fishing boat was out to sea for 6 months and traveled a total of 8578 milesin the first month the boat traveled 659 miles how many miles did the fishing boat travel during the remaining 5 momths

Answers

7919 miles in the next 5 months

Stuck on this math question

Answers

Answer:

SinA = √5/3

CosB = √5/3

Step-by-step explanation:

First let us find the value of a. This is illustrated below:

a^2 = 6^2 — 4^2

a^2 = 36 — 16

a^2 = 20

Take the square root of both side

a = √20 = √(4 x 5) = √4 x √5

a = 2√5

From the diagram,

For sinA

Opp = 2√5

Hypo = 6

Adj = 4

SinA = opp /Hypo

SinA = 2√5/6

SinA = √5/3

For CosB

Opp = 4

Hypo = 6

Adj = 2√5

CosB = Adj /Hypo

CosB = 2√5/6

CosB = √5/3

How do you convert 1/40 to a decimal form

Answers

The answer will be 0.4 .
you can convert this number into a decimal this way. 1.40

What is the rate of change of the function?

Answers

Answer:

Option A

Step-by-step explanation:

The given function is a linear function therefore rate of change of this function will be the slope of the given line.

Since this line passes through two points ( 0,1 ) and ( 0.5 0 )

the slope of the line = ((y-y'))/((x-x'))

                     slope   = ((1-0))/((0-0.5))

                                 = ( -2 )  

Therfore, Option A will be the answer.

The rate of change of function is,

m = - 2

We have to given that,

A function is shown in figure.

Since, The rate of change of linear function is slope of line.

Here, Two points on the line are (1, - 1) and (0, 1)

Since, The equation of line passes through the points (1, - 1) and (0, 1)

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (1 - (-1)) / (0 - 1)

m = 2 / - 1

m = - 2

So, The rate of change of function is,

m = - 2

Learn more about the equation of line visit:

brainly.com/question/18831322

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