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bagirrra123 [75]
3 years ago
14

The difference between an open circle and a closed circle on a graph of an inequality.

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
3 0

A closed circle means that value is included, and an open circle means that value is excluded.

Example:

x > 2 ---- Graphed with an open circle, everything greater than but not including 2

x ≤ 3 ------ Graphed with a closed circle, everything less than and including 3

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What is the answer to 1/4+1/2
Bas_tet [7]

Answer:

0.75

Step-by-step explanation:

7 0
3 years ago
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10. Giselle invests $16,250 in an account that earns 4.25% interest, compounded continuously.
denis-greek [22]

Answer: <u>24 years</u>

Step-by-step explanation:

% • total = Answer

4.25% • $40,000 = Answer

.0425 • $40,000 = Answer

Answer = $1,700 per year

40,000 ÷ 1,700 = 23.5

<u>23.5 rounded to the nearest year is 24</u>

3 0
3 years ago
Determine whether the function shown in the graph is even or odd.
erica [24]

Answer:

Option A) The function is even because it is symmetric with respect to the y-axis.

Step-by-step explanation:

We are given a graph of the function.

We can see that the given function is symmetric around the y axis as the y axis acts as a mirror.

Symmetry around y-axis

  • The y-axis acts as the line of symmetry for the given graph.
  • A graph is said to be symmetric about the  y axis if (a,b) is on the graph, then we can find the point (-a,b) on the graph as well.

Even Function:

  • A function is said to be even if

f(x) = f(-x)

  • A function f is even if the graph of f is symmetric with respect to the y-axis

Odd function:

  • A function is said to be odd if

-f(x) = f(-x)

  • A function f is even if the graph of f is symmetric with respect to the x-axis.

Thus, we can write that the given function is an even function as the the graph is symmetric to the y-axis.

Option A) The function is even because it is symmetric with respect to the y-axis.

7 0
3 years ago
Read 2 more answers
1. Segment A'B' is parallel to segment AB. What is the length of segment BB'?
ella [17]

Answer:

A. 3.5

Step-by-step explanation:

Given that AB is parallel to A'B', therefore,

CB/CB' = CA/CA'

CB' = 7

CB = CB' + BB' = 7 + BB'

CA' = 6

CA = CA' + AA' = 6 + 3 = 9

Plug in the values

(7 + BB')/7 = 9/6

(7 + BB')/7 = 3/2

Cross multiply

2(7 + BB') = 7(3)

14 + 2BB' = 21

Subtract 14 from both sides

2BB' = 21 - 14

2BB' = 7

Divide both sides by 2

BB' = 7/2

BB' = 3.5

5 0
3 years ago
the longest side of a right-angled triangle is 13 cm. if the perimeter of the triangle is 30 cm, find the shortest side
sasho [114]

Answer:

The shortest side = 5

Step-by-step explanation:

Call one  side = a

The middle side = b

the hypotenuse = c

a^2 + b^2 = c^2

a^2 + b^2 = 13^2

a^2 + b^2 = 169

a + b + c = 30

a + b + 13 = 30

a + b = 17

b = 17 - a

a^2 + b^2 = 169

a^2 + (17 -  a)^2 = 169

a^2 + (289 - 34a + a^2) = 169

a^2 + a^2 - 34a + 289 = 169           Subtract 169 from both sides

2a^2 - 34a + 289 - 169 = 0

2a^2 - 34a + 120 = 0                      Divide by 2

a^2 - 17a + 60 = 0

This quadratic is easily factored. You need two numbers that add to - 17 and multiply to 60

(a - 5) * (a - 12) = 0    Both give you positive answers. You only want the shortest side

a - 5 = 0

a = 5                                              Is 5 the shortest side?

a - 12 = 0

a = 12                                           Yes 5 is the shortest side.

7 0
2 years ago
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