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BartSMP [9]
3 years ago
9

What is the range of the function graphed below?

Mathematics
2 answers:
solmaris [256]3 years ago
4 0

Answer:

second one

Step-by-step explanation:

PilotLPTM [1.2K]3 years ago
3 0

Answer:

[-4,0) ∪ [2, ∞)

Step-by-step explanation:

For piecewise function domain and range, we need to understand the difference between "(" and "["  or  ")" and "]"

  • The parenthesis ( "(" and ")" ) are used for "open circles" in the graph.
  • The brackets ( "[" and "]" ) are use for "closed circles" in the graph.

Range is the set of y-values for which the function is defined.

Now,

The upper part of the function shows the graph going from y = 2 towards infinity (arrow). At y = 2 , there is closed circle, so this part range would be

[2, ∞)  (infinity is always with parenthesis)

Now, looking at bottom part, the function is defined from 0 (open circle) to -4 (closed). so we can write:

[-4,0)

This is the range, 2nd answer choice is correct.

[-4,0) ∪ [2, ∞)

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Frank received a monthly statement for his college savings account. It listed a deposit of $100 as +100.00. It listed a withdraw
artcher [175]

Answer:

Add: $100

Take Out: $25

Total: $835.50

Step-by-step explanation:

A deposit is an amount that is put into the account, by the owner or by someone else.

A withdrawal is an amount that is taken out of the account.

The overall ending balance shows the total amount in the account at the end of the month.

7 0
3 years ago
At a baseball game, a vender sold a combined total of 104 sodas and hot dogs. the number of sodas sold was three times the numbe
Reil [10]
You have to set up a system of equations

x+y=104
3x-y=104

Sodas = 78
Hotdogs = 26
7 0
3 years ago
I need help to solve this multi step equation please give me the correct answer
kozerog [31]

Answer:

291 - 5y

Step-by-step explanation:

x- a measure of the fourth angle

The equation

x+60+(2y+8)+(3y+1)=360\qquad|\text{combine like terms}\\\\x+(2y+3y)+(60+8+1)=360\\\\x+5y+69=360\qquad|\text{subtract 5y and 69 from both sides}\\\\x=291-5y

6 0
3 years ago
What is the surface area of this shape?<br> 1 cm<br> 5 cm<br> 4 cm<br> 2 cm<br> 6 cm<br> 3 cm
a_sh-v [17]

Answer:

88 cm²

Step-by-step explanation:

Each square is 1 cm². Count the squares of each face and add them.

Front face (purple): 14 cm²

Back face (hidden): 14 cm²

Right lower face (orange): 6 cm²

Right upper face (orange): 6 cm²

Left face (hidden): 12 cm²

Upper top face (blue): 3 cm²

Lower top face (blue): 15 cm²

Bottom face (hidden): 18 cm²

Add all areas above:

88 cm²

7 0
2 years ago
Roots of Quadratics 50 PTS!!!
noname [10]

The values of k for the different quadratic equation solutions are as follows

a  the equation 2x² - x + 3k = 0 has two distinct real roots

  • k < 1/24

b. the equation 5x² - 2x + (2k − 1) = 0 has equal roots

  • k = 3/5

ci the equation -x² + 3x + (k + 1) = 0 has real roots

  • k > -3.25

d the equation 3kx² - 3x + 2 = 0 has no real solutions

  • k < ± 1.633

<h3>How to solve quadratic equations to get different answers</h3>

Quadratic equations of the form ax² + bx + c = 0 is solved using the formula

-b+\frac{\sqrt{b^{2}-4ac } }{2a}     OR     -b-\frac{\sqrt{b^{2}-4ac } }{2a}

The equation b² - 4ac is called the discriminant and it is used as follows

To solve the equation and get two real roots: 2x² - x + 3k = 0

  • b² - 4ac > 0

substituting the values gives

(-1)² - 4 * 2 * 3k > 0

1 - 24k > 0

1 > 24k

divide through by coefficient of k

k < 1/24

To solve the equation and get equal roots: 5x² - 2x + (2k − 1) = 0

  • b² - 4ac = 0

substituting the values gives

(-2)² - 4 * 5 * (2k - 1) = 0

4 - 40k + 20 = 0

-40k = -24

divide through by coefficient of k

k = 3/5

To solve the equation and get real roots  -x² + 3x + (k + 1) = 0

  • b² - 4ac > 0

substituting the values gives  

(3)² - 4 * -1 * (k+1) > 0

9 + 4k + 4> 0

4k > -13

divide through by coefficient of k

k > -3.25

To solve the equation and get  no real solutions  3kx² - 3x + 2 = 0

  • b² - 4ac < 0

substituting the values gives  

(-3)² - 4 * 3k * 2 < 0

9 - 24k² > 0

9 > 24k²

divide through by coefficient of k²

k² < 24/9

k < ± 1.633

Learn more about roots of quadratic equations: brainly.com/question/26926523

#SPJ1

4 0
1 year ago
Read 2 more answers
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