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3 years ago

Write a fraction with a decimal value between 1/2 and 3/4

1 answer:

7 0

$\dfrac{1}{2}=\dfrac{1\cdot5}{2\cdot5}=\dfrac{5}{10}=0.5=0.50\\\\\dfrac{3}{4}=\dfrac{3\cdot25}{4\cdot25}=\dfrac{75}{100}=0.75\\\\0.50\ \boxed{ \ \textless \ 0.51 \ \textless \ 0.52 \ \textless \ ... \ \textless \ 0.73 \ \textless \ 0.74} \ \textless \ \ 0.75\\\\\dfrac{1}{2}\ \boxed{\ \textless \ \dfrac{51}{100} \ \textless \ \dfrac{52}{100}=\dfrac{13}{25} \ \textless \ ... \ \textless \ \dfrac{73}{100} \ \textless \ \dfrac{74}{100}=\dfrac{37}{50}}\ \ \textless \ 0.75$

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What are the excluded values of x for x+4/-3x^2+12x+36

LekaFEV [45]

I will assume that you meant:

(x+4)/(-3x^2+12x+36) factor the denominator...

(x+4)/(-3(x^2-4x-12))

To factor a quadratic of the form ax^2+bx+c you need to find two values, j and k, which satisfy two conditions...

jk=ac=-12 and j+k=b=-4 so j and k must be 2 and -6 and the factors are then:

(x+2)(x-6) so we are now left with:

(x+4)/(-3(x+2)(x-6))

The only restriction on this function is that division by zero is undefined, so x cannot equal -2 or 6

3 0

3 years ago

Read 2 more answers

Given that APOR is similar to APTS, what is the value of x?

marusya05 [52]

Answer:

Step-by-step explanation:

8 0

2 years ago

Jamie ordered 200 business cards and paid $23. She ordered 500 business cards a few months later and paid $35. Write and solve a

Gnesinka [82]

Answer:

To purchase 700 business cards, Jamie needs to pay $43.

Step-by-step explanation:

We are given that Jamie ordered 200 business cards and paid $23 in total.

We are also given that Jamie ordered 500 business cards and paid $35.

We can use the rate of change formula to find the average change.

$\displaystyle \bullet \ \ \ \frac{\triangle y}{\triangle x}$

This can also be represented with:

$\displaystyle \bullet \ \ \ \frac{y_2-y_1}{x_2-x_1}$

Therefore, we need to identify our variables.

In every relationship, there is a dependent variable and an independent variable.

The independent variable is the variable that an experimenter adjusts in order to receive an altered effect from an output.
The dependent variable is the variable that adjusts based on the changes made to the independent variable.

We change the amount of business cards that are purchased, which in turn, changes the price.

The y-variable is assigned to the dependent variable and the x-variable is assigned to the dependent variable.

Therefore, if we use the coordinate system:

(200, 23)
(500, 35)

Now, we can name our coordinates. We use this system:

(x₁, y₁)
(x₂, y₂)

This means that we can name our points:

x₁ = 200
y₁ = 23
x₂ = 500
y₂ = 35

Revisiting the rate of change formula, we can insert these values.

$\displaystyle \frac{y_2-y_1}{x_2-x_1}$

$\displaystyle \frac{35 - 23}{500-200}\\\\\frac{12}{300}=\frac{1}{25}$

Next, we need to find the y-intercept of our line. We can do this by using one coordinate pair from above and our slope.

The slope-intercept equation is:

$\bullet \ \ \ y = mx + b$

We already know m:

$\displaystyle \bullet \ \ \ \frac{1}{25}$

We also know x and y (we take them from of the coordinate pairs):

$\bullet \ \ \ x = 200$

$\bullet \ \ \ y = 23$

Now, we can substitute these values into the equation and solve for b.

$\displaystyle [y = mx + b]\\\\23 = \frac{1}{25}(200) + b\\\\23 = 8 + b\\\\23 - 8 = 8 - 8 + b\\\\15 = b\\\\b = 15$

Now, we can set up our linear equation.

$\displaystyle y = \frac{1}{25}x + 15$

Therefore, in order to find the price of 700 business cards, we make x in the equation equal 700 and then solve.

$\displaystyle y = \frac{1}{25}(700)+15\\\\y = 28 + 15\\\\y = 43$

Therefore, the price of 700 business cards is equal to $43.

3 0

3 years ago

89 + 217 = 1,564 – 1,438 = 11 X 5 = 72 : 8 = 6 X 10 = 88 + 8 = 4,632-4,608 =

denpristay [2]

Answer:

use a calculator

7 0

3 years ago

An object is moving at a speed of 850 miles per hour. Express this speed in meters per minute.

MAVERICK [17]

Answer:

it would be 1385

Step-by-step explanation: because 850 miles per hour converted into meter per min would be 22799.04 meters per sec and then u would Find the number in the whole number place 4 and look one place to the right for the rounding digit on the right side of the decimal point 7. Round up if this number is greater than or equal to 5 and round down if it is less than 5

So the answer is 1385

8 0

3 years ago

Read 2 more answers