If f(x) is a linear function and the domain of f(x) is the set of all real numbers, which statement cannot be true?

Graph each piecewise function. Then identify the properties.

Alexxx [7]

Answer:

Domain: (-∞, -2) U [-2, 1] U (1, ∞)

Range: (-∞, 2) U [-3, -∞)

Step-by-step explanation:

This function is composed of three polynomial functions, a positive slope line $m = \frac{1}{2}$ , whose domain is all real numbers, a horizontal line, and a negative slope line $m = -1$ whose domain is all real numbers.

Observe in the attached graph that the function has a discontinuity in x = -2, it has a jump.

When x approaches -2 by the left hand, y tends to 2. But when x approaches -2 from the right y tends to -3.

In addition, the function comes from -∞, then has a maximum value at y = 2 and finally derece up to -∞

Then we can conclude that for this piecewise function:

Domain: (-∞, -2) U [-2, 1] U (1, ∞) All Real Numbers

Range: (-∞, 2) U [-3, -∞)

4 0

3 years ago

In an isosceles triangle, one of the equal interior angles is equal to the adjacent exterior

yarga [219]

Answer:

Step-by-step explanation:

can you show a picture?

5 0

2 years ago

Write the number shown in standard form and expanded notation

zhenek [66]

Given:

Standard form and expanded notation

Find-:

The number shown in standard form and expanded notation

Explanation-:

The standard form is

Standard form = The standard form is

$abcde=a.bcde\times10^4$

For example, is

$5326.6=5.3266\times10^3$

The expanded form is

The expanded = Expanded form is a way to write a number by adding the value of its digits. We can use a place value chart to determine the value of a number's digits.

For example

$7229=7000+200+20+9$

3 0

1 year ago

I need help on finding an equation!?

Sedbober [7]

Your distance from Seattle after two hours of driving at 62 mph, from a starting point 38 miles east of Seattle, will be (38 + [62 mph][2 hr] ) miles, or 162 miles (east).

Your friend will be (20 + [65 mph][2 hrs] ) miles, or 150 miles south of Seattle.

Comparing 162 miles and 150 miles, we see that you will be further from Seattle than your friend after 2 hours.

After how many hours will you and your friend be the same distance from Seattle? Equate 20 + [65 mph]t to 38 + [62 mph]t and solve the resulting equation for time, t:

20 + [65 mph]t = 38 + [62 mph]t

Subtract [62 mph]t from both sides of this equation, obtaining:

20 + [3 mph]t = 38. Then [3 mph]t = 18, and t = 6 hours.

You and your friend will be the same distance from Seattle (but in different directions) after 6 hours.

7 0

3 years ago

The table below shows the amount of lemon juice and sugar needed to make three different-sized batches of lemonade using the sam

Amiraneli [1.4K]

Answer:

The equation is:

$j/g=5/2$

Or, what is equivalent:

$j=5g/2$

Explanation:

This is the table that shows the amount of lemon juice and sugar needed to make three different-sized batches of lemonade using the same recipe:

Lemon juice (mL) Sugar (g)

Batch A 500 200

Batch B 750 300

Batch C 1500 600

You need to write an equation to describe the relationship between j, the amount of lemon juice in mL and s, the amount of sugar in g.

Calculate some ratios, to determine the kind of relation between the amount of juice and the amount of sugar in the recipe.

Batch A: lemon juice / sugar = 500 / 200 = 5/2

Batch B: lemon juice / sugar = 750/300 = 5/2

Batch C: lemon juice / sugar = 1500/600 = 5/2

Hence, the amount of juice, j, and the amound of sugar, s, are proportional and the constant of proportionality is 5/2. From this, the equation is:

$j/g=5/2$

Or, what is equivalent (solving for j):

$j=5g/2$

3 0

2 years ago