Use interval notations to represent each number line graph<br><br><br>please help

Solve for x. I need help now!!!!!

Aleksandr-060686 [28]

Answer:

X would be 9.5

Step-by-step explanation:

Simple, 13.5-9

4 0

3 years ago

The food service manager conducted a random survey of students to determine their preference for new lunch menu items. Which of

madreJ [45]

Answer:

It is A, B, and C

6 0

3 years ago

Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (22,99) and perpendicu

liberstina [14]

Y-99=-1/33(x-22)

a). y = 1/33x + 98 1/3

b) 33y = x + 109 1/3
x - 33y = -109 1/3

5 0

3 years ago

Graph f(x) = x2 + 2x - 3, label the function’s x-intercepts, y-intercept and vertex with their coordinates. Also draw in and lab

Semenov [28]

<h2>Answer with explanation:</h2>

The given function : $f(x)=x^2+2x-3$

Using completing the squares, we have

$f(x)=x^2+2x+1-1-3$ [∵ $(x+1)^2=x^2+2x+1$ ]

$f(x)=(x+1)^2-4$ (1)

Comparing (1) to the standard vertex form $f(x)=(x-h)^2+k$ , the vertex of function is at (h,k)=(-1,-4)

For x-intercept, put f(x)=0 in (1), we get

$0=(x+1)^2-4\\\\\Rightarrow\ (x+1)^2=4$

Square root on both sides, we get

$x+1=\pm2\\\\x+1=-2\ or\ \ x+1=2\\\\=x=-3\ \ or\ x=1$

∴ x intercepts : x= (-3,0) and (1,0)

For y-intercept put x=0 in (1), we get

$f(1)=(1)^2-4=1-4=-3$

∴ y intercept : (0,-3)

Axis of symmetry : $\dfrac{-b}{2a}$

In $f(x)=x^2+2x-3$ , a=1 and b=2

Axis of symmetry= $\dfrac{-2}{2(1)}=-1$

5 0

3 years ago

Which of the following statements properly define a variable? Select all that apply. a. Let w represent Enrique's weight b. Let

RoseWind [281]

Answer: c. Let d represent Enrique's distance from home (in miles).

e. Let w represent Enrique's weight in pounds

Step-by-step explanation:

A variable is a particular type of value that denotes an unknown quantity.

It is denotes by using alphabets.
It can change.

To define a variable , we need define a amount or quantity with units and in case of length an exact position is required.

a. Let w represent Enrique's weight

It is not a variable because no units is defined.

b. Let d represent Enrique's distance (in miles).

It is not a variable because the points to establish distance traveled by Enrique is not given .

c. Let d represent Enrique's distance from home (in miles).

It is a variable as both units and position as mentioned.

d. Let d represent Enrique's distance from home.

It is not a variable because no units is defined.

e. Let w represent Enrique's weight in pounds.

It is a variable because unit of weight is mentioned.

Hence, the correct statements that properly define a variable are :

c. Let d represent Enrique's distance from home (in miles).

e. Let w represent Enrique's weight in pounds

4 0

4 years ago

Use interval notations to represent each number line graphplease help