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Levart [38]
3 years ago
6

Which rules define the function graphed below? (15 points cuz I'm stumped)

Mathematics
1 answer:
Lana71 [14]3 years ago
4 0

Answer:  Choice A

y=2x+3; y=-1/3x+3

==================================================

Explanation:

The left portion of the blue curve is y = 2x+3 but it is only graphed when x < 0 (we could argue that x \le 0 but I'll set that aside for the other portion).

The right portion is the line y = -1/3x + 3 and it's only graphed when x \ge 0

So we could have this piecewise function

f(x) = \begin{cases}2x+3 \ \text{ if } x < 0\\-\frac{1}{3}x+3 \ \text{ if } x \ge 0\\\end{cases}

Or we could easily swap the "or equal to" portion to move to the first part instead like this

f(x) = \begin{cases}2x+3 \ \text{ if } x \le 0\\-\frac{1}{3}x+3 \ \text{ if } x > 0\\\end{cases}

Either way, we're involving the equations mentioned in choice A

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Solve this by substitution
frozen [14]

Answer:

y= 1 and x=-2

Step-by-step explanation:

Since they both equal y, you can equal them to each other:

x + 3 = 2x + 5

Then solve:

x - x + 3 = 2x - x + 5

3 - 5 = x + 5 - 5

-2 = x

Substitute x in either equation to solve for y:

y = (-2) +3

y = 1

Or the other equation:

y = 2(-2) + 5

y = -4 + 5

y = 1

hope this helps :)

6 0
3 years ago
Choose the correct translation of the following statement into symbolic form using the uppercase letters available. If neither w
Over [174]

Answer:

¬(W∨S)→¬(J∨E)

D→(B∨C)

X is true

No

Step-by-step explanation:

The hypotheses  "neither water nor soft drinks can quench your thirst" translates to ¬(W∨S) ("neither nor" negates the disjunction W∨S). The "if,... then" translates to the implication symbol (arrow). The conclusion "juice will not do it, unless the juice contains electrolytes" translates to ¬(J∨E). This is because if J or E were true, then J would be true (because E implies J), contrary to the conclusion that J is false ("juice will not do it"), then J∨S is false.

The hypothesis here is "the dyer breaks" hence D is the hypothesis. The conclusion is "we will hang the clothes to dry, or take the clothes to a coin-operated laundry" which is the same as (B∨C).

The proposition p→p is always true (according to truth tables). In this case, p:=X is true, then p is true and X is true.

X∨Y is false if and only if X is false and Y is false, so both statements X,Y must be false.

5 0
3 years ago
If f(x) = 0, what is x?<br><br> 0 only<br> –6 only<br> –2, 1, or 3 only<br> –6, –2, 1, or 3 only
Angelina_Jolie [31]

Answer:

answer will be 0

plz mark me as brainliest

8 0
3 years ago
Solve this system of linear equations. separate x and y values with a comma. 7x=-67-11y 5x=-73-11y​
Aleks [24]

Answer:

3, -8

(x is equal to 3 and y is equal to -8)

Step-by-step explanation:

<u>The system:</u>

{ 7x=-67-11y

{ 5x=-73-11y​

<u>Finding a value for x:</u>

7x=-67-11y -> x = -\frac{67}{7} - \frac{11y}{7}

<u>Solving for y by plugging in our x:</u>

[Equation] 5x = -73 -11y​

[Plug-in] 5(-\frac{67}{7} - \frac{11y}{7}) = -73 -11y​

[Distribute the 5] -\frac{335}{7} - \frac{55y}{7} = -73 -11y​

[Multiply by 7] 7 (-\frac{335}{7} - \frac{55y}{7}) = (-73 -11y​) 7

[Simplify] -335 - 55y = -511 - 77y

[Add 335 and 77y to both sides] 22y = -176

[Divide by 22] y = -8

<u>Plug in our y to solve for x:</u>

5x = -73 -11y​

5x = -73 -11(-8)

5x = -73 + 88

5x = 15

x = 3

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

5 0
3 years ago
What is the range for the following set of measurements? 7.1 g, 9.8 g, 2.3 g, 8.5 g, 7.4 g, 5.7 g
tankabanditka [31]

Answer:

7.5

Step-by-step explanation:

you take the largest number (9.8) and subtract with the smallest number (2.3)

<h2>9.8-2.3= 7.5</h2>
8 0
2 years ago
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