MATHEMATICS MIDDLE SCHOOL

Solve 81x = 27x + 2.

x = 1
x = 2
x = 5
x = 6

Answers

Answer 1

Answer: 81x = 27x + 2
81x - 27x = 2
54x = 2
x = 2/54
x = 1/27

none of the above is the answer...

Answer 2

Answer:

Answer: x = 6

Step-by-step explanation:

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

81x=27x+2

Solve Exponent.

81x=27x+2

log(81x)=log(27x+2)(Take log of both sides)

x*(log(81))=(x+2)*(log(27))

x=(

log(27)

log(81)

)*(x+2)

x=0.75*(x+2)

x=0.75x+1.5(Simplify both sides of the equation)

x−0.75x=0.75x+1.5−0.75x(Subtract 0.75x from both sides)

0.25x=1.5

0.25x

0.25

1.5

0.25

(Divide both sides by 0.25)

x=6

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Which statements accurately describe how to determine the y-intercept and the slope from the graph below?On a coordinate plane, a line goes through points (0, negative 6) and (3, 0).
To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction.
To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction.
To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction.
To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction.

Answers

The accurate statement which explains how to determine the slope (m) and y-intercept (b) of a line on a coordinate plane that goes through two points is:

C. To determine the y-intercept, move from the origin vertically to the graphed line. To find the slope, you will use two ordered pairs on the line and substitute into the equation $\mathbf{ m = (y_2 - y_1)/(x_2 - x_1) }$ .

Recall:

The y-intercept is the point at which the graphed line intercepts the y-axis (vertical axis). The y-intercept is the value of y here.

Slope (m) = $\mathbf{(y_2 - y_1)/(x_2 - x_1) }$

You can simply find the y-intercept on a coordinate plane like the one given in the image attached below.

To do this, from the point of origin (0), you have to move towards the graphed line, that's vertically upwards, to the point where the line crosses the vertical axis.

The y-intercept in the graph shown in the image = 2.

To find the slope, use two ordered pairs on the line, i.e., (0, 2) and (1, 5). (see attached image.)

Next is to let,

$(0, 2) = (x_1, y_1)\n\n(1, 5) = (x_2, y_2)$

Then, substitute the values into $\mathbf{ m = (y_2 - y_1)/(x_2 - x_1) }$

Thus:

$m = (5 - 2)/(1 - 0) = (3)/(1) \n\n\mathbf{m = 3}$

Therefore, the accurate statement which explains how to determine the slope (m) and y-intercept (b) of a line on a coordinate plane that goes through two points is:

Learn more here:

brainly.com/question/14431998

Answer:

To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction.

Step-by-step explanation:

What is the area of a rectangle with length 1/12 ft and width 3/4 ft

Answers

Answer:

3/48 or reduced 1/16

Step-by-step explanation:

1/3 x 3/4 = 3/48

Reduced:

3/48 ÷ 3/3 = 1/16

Only put the reduced fraction if it asks.

Hope this helps :)

Which of the following ratios will form a proportion with
2
3

Answers

Answer:

you have to use cross-multiplication in order to find out the answer to this question.

Step-by-step explanation:

9/12 times 2/3

Chet's father is five times as old as Chet. In six years, his father only be three times as old. How old is Chet now?

Answers

12 bc if u take a random number like 6 times it by 5 you get thirty so his dad is 30 years old and chet is 6 then add six years and chet is 12 and his dad is 36 and 12 goes into 36 3 times. I hope this helped. :-)

What is greater 2/8 or 3/16

Answers

2/8 is greater. In order to figure out the answer for this, I cross multiplied. So, first, you would do 2 times 16. And 8 times 3. 2 times 16 is 32 and 8 times 3 is 24. 32 is greater than 24, and the 34 comes from 2/8. Good luck!

2/8=4/16 because if you multiply 8x2, it equals 16, which would then make it 4/16 and 3/16 comparable, so then you just look at which numerator (top number) is bigger, so 2/8 would be greater.

What is 300 in scientific notation