Answer:
-2, -13
0, -3
2, 7
4, 17
Step-by-step explanation:
To fill out the table, substitute the table x-values into the equation and the y-values will fill the table.
y = 5x - 3
y = 5(-2) - 3
y = -10 - 3
y = -13
This means the table value corresponding to -2 should be -13.
y = 5x - 3
y = 5(0) - 3
y = 0 - 3
y = -3
This means the table value corresponding to 0 should be -3.
y = 5x - 3
y = 5(2) - 3
y = 10 - 3
y = 7
This means the table value corresponding to 2 should be 7.
y = 5x - 3
y = 5(4) - 3
y = 20 - 3
y = 17
This means the table value corresponding to 4 should be 17.
Answer:
The first option, the mayor will lose by a large percentage.
Step-by-step explanation:
If you look at the numbers, You can see that the two best answers which are excellent and satisfactory are low, and in total equal 28.
Being compared to the lower ratings which are needs improvement and unsatisfactory are high, and in total equal 52.
Seeing this, this shows that the mayor will lose the election the with more than half of the people voting for someone else.
All the other options excluding the first one, say that he will win by a close call, a big percent, or a close call again.
which just leaves the first option saying that he will lose by large percent, which is true.
9514 1404 393
Answer:
C
Step-by-step explanation:
You can reflect point x across the origin to find is is just above -1. Adding 3 to that value gives a point just above -1+3 = 2. That's where point C is located.
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<em>Algebraic solution</em>
Algebraically, you can set y = -x +3, and solve for x. That gives you ...
x = 3 -y
Using the relation given at the start:
0 < x < 1
0 < 3 -y < 1 . . . . . substitute for x
Adding y gives ...
y < 3 < y+1
We can separate this into two inequalities:
y < 3, and
3 < y+1
2 < y . . . subtract 1
Now, we have ...
2 < y < 3 . . . . . the location of point C
As you can see, it is much easier to use the number line directly to find the desired point.
x + 24 = first angle
x = second angle
4x = third angle
x + 24 + x + 4x = 180°
6x + 24 = 180°
6x = 180° - 24
6x = 156°
x = 156° ÷ 6
x = 26°....the second angle.
x + 24 = 26 + 24 = 50°.... the first angle.
4(26) = 104°
The largest angle is the third angle, which measures 104°.
Answer:
- 12 large rooms
- 8 small rooms
Step-by-step explanation:
If all were small rooms, 40 guests could be accommodated. Each large room accommodates 1 more guest, so there must be 52 -40 = 12 large rooms. The remaining 20 -12 = 8 rooms are small rooms.
Jayden reserved 12 large and 8 small rooms.
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If you can't think without an equation, let x represent the number of large rooms. Then the number of guests accommodated is ...
3x + 2(20-x) = 52
x + 40 = 52
x = 52 -40 = 12 . . . . . . .number of large rooms
(20-x) = 20-12 = 8 . . . . number of small rooms
