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3 years ago

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

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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

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? 0 only –6 only –2, 1, or 3 only –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:

The system:

{ 7x=-67-11y

{ 5x=-73-11y

Finding a value for x:

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

Solving for y by plugging in our x:

[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

Plug in our y to solve for x:

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)

8 0

2 years ago