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iren [92.7K]
3 years ago
12

What’s the property of a + 0 = a

Mathematics
2 answers:
jek_recluse [69]3 years ago
6 0

Answer:Identity property

Step-by-step explanation:

katrin2010 [14]3 years ago
6 0

Answer:

Neutral element of the sum

Step-by-step explanation:

The <em>neutral element</em> of the sum is the value that, when added to any other value in a set, returns the other value in the set. For the set of real numbers, the additive identity is 0. This is because for any real number a, a + 0 = a.

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Caitlin makes candles and sells them in her online shop. Tall candles cost $8 each and short candles cost $5 each. last month, s
snow_tiger [21]

Answer:

tall candles = 39

Short candles = 52

Step-by-step explanation:

let tall candles be x

and short candles be y

No. Of candles sold = x + y =91

Money made from candles will be equal to = 8x + 5y = $572

These both are simultaneous linear equations.

x + y =91 ( multiply by 5)

5x + 5y = 455

8x + 5y = $572

Subtract them:

-3x = -117

x = -117/3

x = 39

put value of x in

x + y = 91

39 + y = 91

y = 91 - 39

y = 52

x shows tall candles so they are 39

y shows short candles so they are 52

3 0
3 years ago
I think of a number multiply by two then subtract 9
EastWind [94]

Answer:

2n - 9

Step-by-step explanation:

Let the number be n.  Then "a number multiply by two then subtract 9" yields

2n - 9

3 0
3 years ago
1. Write the equation of the piece-wise function graphed below​.
DaniilM [7]

Problem 4

<h3>Answer:</h3>

f(x) = \begin{cases}2x+4 \text{ if } x < 1\\x-3 \text{ if } x \ge 1\end{cases}

------------------

Work Shown:

The left line goes through (-2,0) and (0,4)

The slope of this line is

m = (y2-y1)/(x2-x1)

m = (4-0)/(0-(-2))

m = (4-0)/(0+2)

m = 4/2

m = 2

The y intercept is b = 4

Since m = 2 and b = 4, this means y = mx+b turns into y = 2x+4. This portion is only done when x < 1. Note the open circle at the endpoint of this portion. So we do not include x = 1 as part of this piece.

---

The line on the right side goes through (1,-2) and (2,-1)

Slope

m = (y2-y1)/(x2-x1)

m = (-1-(-2))/(2-1)

m = (-1+2)/(2-1)

m = 1/1

m = 1

The y intercept is b = -3. You can see this if you extend the line until it crosses the y axis.

Alternatively, plug in (x,y) = (1,-2) and m = 1 into y = mx+b to find that b = -3

So y = mx+b turns into y = 1x+(-3) or just y = x-3

We combine both parts to end up with f(x) = \begin{cases}2x+4 \text{ if } x < 1\\x-3 \text{ if } x \ge 1\end{cases}

This is only graphed when x \ge 1 (note the closed or filled in circle for the endpoint of this portion).

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

Problem 5

Answer:

<h3>f(x) = \frac{1}{2}|x+3| is the absolute value function</h3><h3>while this is the piecewise function</h3>

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

------------------

Work Shown:

y = |x| .... parent function

y = |x+3| ... shift 3 units to the left

y = (1/2)*|x+3| .... vertically compress by factor of 1/2

f(x) = (1/2)*|x+3|

------

Break that down into a piecewise function

when x < -3, then y = -(1/2)(x+3)

when x \ge -3, then y = (1/2)(x+3)

I'm using the rule that y = |x| turns into y = -x when x < 0 and y = x when x \ge 0

So that is how we get f(x) = \begin{cases}-\frac{1}{2}(x+3) \text{ if } x < -3\\\frac{1}{2}(x+3) \text{ if } x \ge -3\end{cases}\\as the piecewise function.

8 0
3 years ago
Read 2 more answers
Can someone please take a look at the attachment and tell me what the answer is? Serious answers only please!
siniylev [52]
The solid line indicates that the line itself is included in the solutions.  That the shaded area is to the left, or under, the line means that y≤the line.

To find the equation of the line you first find the slope or m using any two points.

m=(y2-y1)/(x2-x1)  in this case you are given (2,-5) and (-2, 3) so

m=(3--5)/(-2-2)

m=8/-4

m=-2

So far for y≤mx+b we have:

y=-2x+b  using either point we can solve for b, I'll use (2,-5)

-5=-2(2)+b

-5=-4+b

-1=b

So the line is:

y=-2x-1  and since y≤ the line:

y≤-2x-1
5 0
3 years ago
GHOST FACE CULT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! help me
trapecia [35]

Answer:

it would be A

Step-by-step explanation:

because 4x-7=1

x=2

4(2)-7=1

8-7=1

I hope this helps you

7 0
3 years ago
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