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andre [41]
3 years ago
15

Which inequality's graph will have a solid boundary line?

Mathematics
1 answer:
sukhopar [10]3 years ago
8 0

Answer:

D

x − y ≤ 5

Step-by-step explanation:

When drawing lines for inequalities in a graph, all lines whose equation have the greater than or less than signs are dotted hence they can't be solid boundary lines. Otherwise, all other equations with equal sign, less than or equal and greater than or equal are represented by a solid boundary line. In this case, the only equation that qualifies for a solid boundary line is x − y ≤ 5 since the other equations have either less than or greater than signs

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The yoga company Yoga for Life offers 45-minute classes at $12 per class. If the number of minutes Randolf
TiliK225 [7]
This is a classic example of where you would need to use the process of elimination. Let's start with answer A, 3 classes.
If A were to be correct, 3 classes of 45 minutes each would be 132 greater than the amount he paid, 3 classes worth $12. We could easily express this as a math equation:

45 * 3 = 132 + (12 * 3)               Then, all you would have to do is simplify:
135 = 132 + 36
135 = 168

Obviously this equation isn't true, and you can continue with answer choice B.
But wait... there's a better way. Using this starting equation, we can come up with a formula to solve for c, the number of classes. Let's take our starting equation:

45 * 3 = 132 + (12 * 3)         Now, let's turn all the 3s into cs.
45c = 132 + 12c                   Then, using algebra, we can solve this equation.
-12c           - 12c
33c = 132
33c/33 = 132/33
c = 4

And finally, we have our answer, B! I hope both methods help you in your further studies.
8 0
4 years ago
I have a stat class review and what would be the letter choice for this scatter plot?
Sonja [21]

Answer:

C. 4.5

Step-by-step explanation:

If you reference the scatter plot, you see that when x=3, y=4.5. Therefore, the answer is 4.5.

8 0
4 years ago
Find X using the Angle Sum Theorem
sleet_krkn [62]

Answer:

x = 20°

Step-by-step explanation:

So when I learned it we called it the exterior angle theorem not the angle sum theorem but here goes.

Since exterior angle = 110 Degrees,

--> The Inner 2 angles's sum = 110 Degrees

so, 70 + 2x = 110

=> 2x = 40

x = 20

x = 20°

<u>Hope this helps!</u>

4 0
3 years ago
The set of all real numbers x that satisfies -3 &lt; x&lt;14 is given by the following interval notation: [-3,14)
Burka [1]

Answer:

Step-by-step explanation:

The set of all integer numbers

6 0
3 years ago
Read 2 more answers
Answer 1-9 please help i will give thanks or brainiest 10 points
vlabodo [156]
Is for number 1 number 2 is

5 0
3 years ago
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