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galben [10]
3 years ago
11

or inequalities. Greater Than, >, and Less Than, <, mean the solution does NOT contain the number. So would you use and op

en circle or a closed circle to graph on a number line ___________________ For inequalities. Greater Than or Equal TO, >, and Less Than or Equal TO, <, mean the solution does contain the number. So would you use and open circle or a closed circle to graph on a number line?____________________
Mathematics
2 answers:
Lelechka [254]3 years ago
6 0

Closed circle for the first one

Open circle for the second one

zysi [14]3 years ago
4 0

In case of inequalities we have following two rules.

Rule 1:

If we have just greater than > or less than < sign , then we would use open cirlce.

An open dot means the function has no definition at the specific point

Greater Than, >, and Less Than, <, mean the solution does NOT contain the number

Rule 2:

For inequalities. Greater Than or Equal TO, >, and Less Than or Equal TO, <, mean the solution does contain the number.

So in that case we will use closed circle.

Hope that helps.

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5c+16.5=13.5+10c<br> solve for c
lana66690 [7]

Answer:

c = 3/5

Step-by-step explanation:

5c+16.5=13.5+10c

Subtract 5c from both sides:

13.5+5c=16.5

5c=3

c = 3/5

7 0
3 years ago
Read 2 more answers
Tom determines that the system of equations below has two solutions, one of which is located at the vertex of the parabola.
xxTIMURxx [149]

Answer:

Option A: b must equal 7 and a second solution to the system must be located at the point (2, 5)

Step-by-step explanation:

<u><em>The complete question is</em></u>

Tom determines that the system of equations below has two solutions, one of which is located at the vertex of the parabola.

Equation 1: (x – 3)2 = y – 4

Equation 2: y = -x + b

In order for Tom’s thinking to be correct, which qualifications must be met?

A: b must equal 7 and a second solution to the system must be located at the point (2, 5).

B: b must equal 1 and a second solution to the system must be located at the point (4, 5).

C: b must equal 7 and a second solution to the system must be located at the point (1, 8).

D: b must equal 1 and a second solution to the system must be located at the point (3, 4).

step 1

Find the vertex of the quadratic equation

The general equation of a vertical parabola in vertex form is

y=a(x-h)^2+k

where

(h,k) is the vertex

we have

(x-3)^{2}=y-4

so

y=(x-3)^{2}+4

The vertex is the point (3,4)

step 2

Find out the value of b in the linear equation

we know that

If the vertex is a solution of the system of equations, then the vertex must satisfy both equations

substitute the value of x and the value of y of the vertex in the linear equation

y=-x+b

For x=3, y=4

4=-3+b\\b=7

so

y=-x+7

step 3

Find out the second solution of the system of equations

we have

y=(x-3)^{2}+4 -----> equation A

y=-x+7 ----> equation B

solve the system of equations by graphing

Remember that the solutions are the intersection points both graphs

The second solution of the system of equations is (2,5)

see the attached figure

therefore

b must equal 7 and a second solution to the system must be located at the point (2, 5)

5 0
3 years ago
Read 2 more answers
You invest $3000 in an account that pays simple interest of 7% for 30 years. how much will you have at the end of 30 years?
nekit [7.7K]
$9,300
First, multiply your beginning amount by the percent of interest: 3,000x0.07 = 210
Then, multiply your interest times the number of years:
210x30 = 6,300
Add you interest to your initial amount:
3,000 + 6,300 = 9,300
5 0
3 years ago
-4.25 ⋅ (3/10 + 1/5)
elixir [45]

Answer: -0.85

Step-by-step explanation:

3/10 + 1/5 = 1/2

1/2 x -4.25 = -0.85

3 0
1 year ago
HELP!!! answer quickly pls
Mumz [18]
Answer:

The first one B

Step by step explanation:

B is (2,4) then do 2+1 which is 3 and then 4 -3 which is 1 and your left with (3,1) which is point B
4 0
3 years ago
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