Is the product of 12 and 3/4 more or less than 12?

1. Which of the following is an irrational number? How do you know? Use key words and definitions to explain your answer choice.

Angelina_Jolie [31]

1:-

0.25

it should be in p/q form

$\\ \rm{:}\twoheadrightarrow 0.25$

$\\ \rm{:}\twoheadrightarrow \dfrac{25}{100}$

$\\ \rm{:}\twoheadrightarrow \dfrac{1}{4}$

q not equal to zero hence proved

2:-

Its Slightly false.

Counter example :-

The sum of two rational numbers is may be rational. The sum of two irrational numbers is always irrational.”

ex:-

$\\ \rm{:}\twoheadrightarrow \dfrac{1}{2}+\dfrac{1}{2}$

$\\ \rm{:}\twoheadrightarrow 1$

3:-

NOTA

$\\ \rm{:}\twoheadrightarrow 6(94)+7+(3+2)$

$\\ \rm{:}\twoheadrightarrow 564+7+5$

$\\ \rm{:}\twoheadrightarrow 576$

4 0

3 years ago

Find the equation of the line (in slope intercept form) if the slope of the line is (-5/6) and the point (12,9) is a point on th

horsena [70]

(y=mx+b) Where m is slope and b is y-int.
y=-5/6x-1

6 0

3 years ago

A company offers four plans for customers who want to rent DVDs and video games. The cost of the plans can be modeled by a linea

Luba_88 [7]

To solve this, we are going to use the slope formula, and the point slope formula.
Slope formula: $m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
where
$m$ is the slope.
$(x_{1},y_{1})$ are the coordinates of the first point.
$(x_{2},y_{2})$ are the coordinates of the first point.
Point-slope formula: $y-y_{1}=m(x-x_{1})$

Plan A. Coordinates of the first point: (1,14) (number of discs, cost). Coordinates of the second point: (2,17). Lets replace those values in our slope formula:
$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$m= \frac{17-14}{2-1}$
$m=3$
Now that we have the slope, we can use the point slope formula:
$y-y_{1}=m(x-x_{1})$
$y-14=3(x-1)$
$y-14=3x-3$
$y=3x+11$
Remember that in a linear equation of the form $y=mx+b$ , $m$ is the slope and $b$ is the y-intercept. In our model the y-intercept is the membership fee.
Since $b=11$ in our linear equation, we can conclude that the membership fee is $11

Plan B. Coordinates of the first point (1,12). Coordinates of the second point (2,16).
$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$m= \frac{16-12}{2-1}$
$m=4$
$y-y_{1}=m(x-x_{1})$
$y-12=4(x-1)$
$y-12=4x-4$
$y=4x+8$
Membership fee: $8

Plan C. Coordinates of the first point: (1,10). Coordinates of the second point: (2,15).
$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$m= \frac{15-10}{2-1}$
$m=5$
$y-y_{1}=m(x-x_{1})$
$y-10=5(x-1)$
$y-10=5x-5$
$y=5x+5$
Membership fee: $5

Part D. Coordinates of the first point: (1,12). Coordinates of the second point (2,21).
$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$m= \frac{21-12}{2-1}$
$m=9$
$y-y_{1}=m(x-x_{1})$
$y-12=9(x-1)$
$y-12=9x-9$
$y=9x+3$
Membership fee: $3

We can conclude that the plan that has the smallest one-time membership is Plan D.

6 0

3 years ago

Read 2 more answers

Directions: Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Cal

Ludmilka [50]

7 rollercoasters because 4 shows plus 3 more rolercoasters equal 7 and 4 shows .It takes 5 minutes to ride on the rollercoaster plus the estimated 30 minute wait equals 35 and 35*7=245 and it takes 25 minutes to watch show and 25*4=100 and 245+100=345 so he can ride 7 rollerecoasters and 4 shows in 345 minutes.

6 0

3 years ago

Read 2 more answers

What is the equation for g, which is f(x) = 2x2 + 3x − 1 reflected across the y-axis? Group of answer choices g(x) = −2x2 − 3x −

Sergio [31]

Answer:

$g(x) = 2x^2 - 3x - 1$