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avanturin [10]
3 years ago
8

A six sided die is tossed and a coin is flipped. What is the fractional probability that the die lands on an even number and the

coin is heads?
Mathematics
1 answer:
patriot [66]3 years ago
4 0

Answer:

For the die it is 3/6 - 3/6 simplified is 1/2

For the coin it is 1/2

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Graph y &gt; -1/3x+5<br><img src="https://tex.z-dn.net/?f=y%20%3E%20%20-%20%20%5Cfrac%7B1%7D%7B%203%20%7D%20x%20%2B%205" id="Tex
ad-work [718]

Explanation:

The function is y>-\frac{1}{3} x+5

To graph the function, let us find the x and y intercepts.

To find x-intercept, let us substitute y=0 in the function y>-\frac{1}{3} x+5

\begin{aligned}0 &=-\frac{1}{3} x+5 \\-5 &=-\frac{1}{3} x \\x &=15\end{aligned}

Thus, the x-intercept is (15,0)

To find the y-intercept, let us substitute x=0, we get,

\begin{aligned}&y=-\frac{1}{3}(0)+5\\&y=5\end{aligned}

Thus, the y-intercept is (0,5)

The graph has no asymptotes.

To plot the points in the graph, we need to substitute the values for x in the function y>-\frac{1}{3} x+5, to find the y-values.

The points are (-2,5.667),(-1,5.333),(1,4.667),(2,4.333),(3,4). The image of the graph and table is attached below:

6 0
3 years ago
4. x^2+13x=-42
Mrrafil [7]
x^2+13x=-42\ \ \ |+42\\\\x^2+13x+42=0\\\\x^2+6x+7x+42=0\\\\x(x+6)+7(x+6)=0\\\\(x+6)(x+7)=0\iff x+6=0\ \vee\ x+7=0\\\\x=-6\ \vee\ x=-7

Anaswer: <span>a. x = -6 or x = -7</span>

8 0
3 years ago
Find the solution to the system of equations
Neko [114]

Answer:

x=1

y=-4

Step-by-step explanation:

Since -x-3=y subsitue that in at the top equation

- x - 3 =  - 7x + 3

- x =  - 7x + 6

6x = 6

x = 1

Plug x=1 back into the equation to solve for y.

y =  - 7(1) + 3

y =  - 4

3 0
3 years ago
What is 5 units from -6?
Sedaia [141]

Answer:

11

Step-by-step explanation:

-6 + ___ = 5 is your format.

3 0
2 years ago
Read 2 more answers
The table shows how much money Edguardo earns as a golf coach. He charges a flat fee of $38, plus $22 per hour. Complete the tab
Tomtit [17]
1 hour: $60
2 hours: $82
3 hours: $104
4 hours: $126
8 hours: $214
4 0
3 years ago
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