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liq [111]
3 years ago
12

Write the set of points from −8 to −2 but excluding −3 and −2 as a union of intervals

Mathematics
1 answer:
Sauron [17]3 years ago
3 0
If you're only dealing with integers, then the answer is:

[-8 , -3)

If you're dealing with real numbers, then the answer is:

[-8, -3)∪(-3, -2)
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Solve the compound inequality 4x – 7 > 5 or 5x + 4 ≤ –6
bija089 [108]

Answer:

inequality form: x \leq -2 or x > 3

interval notation form: (-∞,-2] ∪ (3,∞)

Step-by-step explanation:

I attached a picture that shows all the work. You begin by isolating then solving for x on both sides. Then form a solution using the information found out about x. For example, you can combine the found inequalities for x to solve that x must be GREATER than 3 while being LESS than -2. Using that you can form an line and make a line. Remember, when writing in interval notation form you always begin from the left to the right (in reference) to the number line.

5 0
2 years ago
What is the value of the negative zero of the function, f, defined by<br> f(x) = x^2 - 16
Lelu [443]

Answer:

x = -4

Step-by-step explanation:

f(x) = x² - 16

This is the difference of squares

which factors as

f(x) = (x - 4)(x + 4)

Therefor the negative zero is

x = -4

8 0
3 years ago
Please help me idk this
kupik [55]

Answer:

A. Twice the radius, d = 2r

Step-by-step explanation:

The diameter is a line that splits a circle in half, while the radius is only half of that.

4 0
3 years ago
You are saving money for a new phone. You must have at least $800 saved up in
NeX [460]

Let number of hours needed to work = x

Multiply number of hours by rate: 15x

Add what you already have saved:

15x + 215

This needs to equal at least 800:

The equation becomes:

15x + 215 >= 800

Solve for x:

15x + 215 >= 800

Subtract 215 from both sides

15x >= 585

Divide both sides by 15

X >= 39

They have to work at least 39 hours.

6 0
3 years ago
Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and th
Vesna [10]

Question is Incomplete; Complete question is given below;

Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. Which statements are true of the scenario? Check all that apply.

a. The independent variable, the input, is the variable d, representing distance.

b. The distance traveled depends on the amount of time Marlene rides her bike.

c. The initial value of the scenario is 16 miles per hour.

d. The equation t = d + 16 represents the scenario.

e. The function f(t) = 16t represents the scenario.

Answer:

OPTION (b) and (e) are the true statements.

Step-by-step explanation:

Given:

t=> time in hours that she rides

d=>  distance she rides

We have to find the statements that are true of the scenario.

Solution:

d=16t

The equation itself is a linear equation which presents an equation's scenario and time (t) is a independent variable and distance (d) is a dependent variable.

Equation for distance according to function is  f(t)=16t

Here, we can use graph tool, you can see the attested image below.

Function's domain is the interval⇒ [0,∞)

t\geq0

Function's range is the interval⇒ [0,∞)

f(t)\geq0

The statements which are TRUE are explained below :

b) The distance traveled depends on the amount of time Marlene rides her bike

It is true because as explained above that equation for distance according to function is  f(t)=16t

e) The function f(t) = 16t represents the scenario.

It is true because as explained that the scenario has been represented by the function above that f(t)=16t

* The statement (a) is false because the variable t is the independent variable.

* The statement (c) is false because 16 is been represented as the slope or the rate of the linear equation.

* The statement (d) is false because t = d + 16 donot represents the scenario.

8 0
3 years ago
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