Which of the following statements is NOT equivalent to the statement, 'There exists either a

Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance

ANTONII [103]

Answer:

-35.626 < temperature < 733.928 . . . . degrees F

(-35.626, 733.928)

Step-by-step explanation:

It is convenient to let a calculator evaluate the expression for converting °C to °F.

-35.626 < temperature < 733.928 . . . . degrees F

(-35.626, 733.928) . . . . . . . . . . . . . . . . . in interval notation

_____

The given relation is C = 5/9(F -32). The inverse relation is F = 9/5C +32. That is the relation we need to use to answer this question.

4 0

3 years ago

Problem type join results unknown

Allisa [31]

Not sure what you are asking for, but,

Here is an example of a JRU (Join Result Unknown) word problem:

There were _____ kids on the playground. ____ more kids came onto the playground. How many kids are on the playground?

Here is an example of a JCU (Join Change Unknown) word problem:

There were ____ kids on the playground. Some more kids came on the playground. Now there are ____ kids on the playground. How many kids came on the playground?

Here is an example of a JSU (Join Start Unknown) word problem:

Some kids were on the playground. ____ kids came on the playground. Now there are ____ kids on the playground. How many kids were on the playground at the beginning?

8 0

3 years ago

The table shows a linear function. which equation represents the function?

Bas_tet [7]

Answer:

Option C is correct.

The equation $f(x)= -\frac{1}{2}x +4$ represents the function.

Step-by-step explanation:

Using slope intercept form to find the equation of line :

For any two points $(x_1, y_1)$ and $(x_2, y_2)$ the equation of line is given by:

$y -y _1 = m(x-x_1)$ ......[1] ;where m is the slope given by:

$m = \frac{y_2-y_1}{x_2-x_1}$

Consider any two points from table :

let (4, 2) and (0, 4) be any two points.

calculate slope:

$m = \frac{y_2-y_1}{x_2-x_1}= \frac{4-2}{0-4}$

$m = \frac{2}{-4} = -\frac{1}{2}$

Now, substitute in equation [1] we have:

$y - 2 = -\frac{1}{2} (x-4)$

Distributive property i.e, $a\cdot (b+c) = a\cdot b + a\cdot c$

$y -2 = -\frac{1}{2}x +2$

Add both sides 2 we get;

$y -2+2 = -\frac{1}{2}x+2+2$

Simplify:

$y = -\frac{1}{2}x+4$

Since, y= f(x)

$f(x)= -\frac{1}{2}x +4$

therefore, the equation $f(x)= -\frac{1}{2}x +4$ represents the function.

8 0

3 years ago

1. What are the roots of 4x2 = 8x - 7?

Andrei [34K]

4 times 2 =8times-7 is 1

8 0

3 years ago

Read 2 more answers

To solve a system of inequalities so you can graph it how do you change these two equations into something like the two that are

Zigmanuir [339]

Explanation

Problem #2

We must find the solution to the following system of inequalities:

$\begin{gathered} 3x-2y\leq4, \\ x+3y\leq6. \end{gathered}$

(1) We solve for y the first inequality:

$-2y\leq4-3x.$

Now, we multiply both sides of the inequality by (-1), this changes the signs on both sides and inverts the inequality symbol:

$\begin{gathered} 2y\ge-4+3x, \\ y\ge\frac{3}{2}x-2. \end{gathered}$

The solution to this inequality is the set of all the points (x, y) over the line:

$y=\frac{3}{2}x-2.$

This line has:

• slope m = 3/2,

,

• y-intercept b = -2.

(2) We solve for y the second inequality:

$\begin{gathered} x+3y\leq6, \\ 3y\leq6-x, \\ y\leq-\frac{1}{3}x+2. \end{gathered}$

The solution to this inequality is the set of all the points (x, y) below the line:

$y=-\frac{1}{3}x+2.$

This line has:

• slope m = -1/3,

,

• y-intercept b = 2.

(3) Plotting the lines of points (1) and (2), and painting the region:

• over the line from point (1),

,

• and below the line from point (2),

we get the following graph:

Answer

The points that satisfy both inequalities are given by the intersection of the blue and red regions:

8 0

1 year ago