9514 1404 393
Answer:
x-intercept: (16, 0)
y-intercept: (0, 8)
Step-by-step explanation:
Each intercept is found by setting the other variable to zero and solving for the variable of interest.
I like to find the intercepts from this form because it basically involves dividing the constant by the variable coefficient.
<u>x-intercept</u>
y = 0, so we have 4x = 64 ⇒ x = 64/4 = 16
x-intercept is (16, 0)
<u>y-intercept</u>
x = 0, so we have 8y = 64 ⇒ y = 64/8 = 8
y-intercept is (0, 8)
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<em>Additional comment</em>
There is a form of the linear equation called the "intercept form" that looks like this:
x/a +y/b = 1
where 'a' is the x-intercept and 'b' is the y-intercept.
You can get this form by dividing the standard form equation by the constant. Here, that gives ...
4x/64 +8y/64 = 1
x/16 +y/8 = 1
This is nice because it gives both intercepts with one operation (divide by the constant). It's easy enough to do, but not always easy to explain. This form of the equation of a line is rarely seen.
Ms. Cassidy instructed Miguel to change one sign of the graph of y < 2x – 4 so that point (2, 3) can be included in the solution set.
To check which of the given options might Miguel write we check the inequality that holds true for the point (2,3).Substituting x=2 ,y=3 we have:
1) y < 2x – 1
3<2(2)-1
3<3 Not True.
2)y ≤ 2x – 4
3≤ 2(2) -4
3≤ 0 .Not true.
3) y > 2x – 4
3> 2(2)-4
3> 0 True.
4) y < 2x + 4
3<2(2)+4
3<8 True
5) .y < 3.5x – 4
3< 3.5(2)-4
3<3 Not true
6) y < 4x – 4
3<4(2)-4
3<4 True.
Options 3 ,4 ,6 holds true for the point (2,3)
[Find the changes in the salary]
Increase = 28100 - 25300 = 2800
[the change, divided by the original amount. x100 to give the percentage]
percentage increase = 2800/25300 x 100 = 11.07%
I really dont understand what the W means... But i can definately tell you this: I am a former rythmic gymnast who trained for 5 years, and in gym, i am always first place. True facts
83 + 58 = 141
55 + 68 = 123
92 + 69 = 161
48 + 72 = 120
69 + 77 = 146
95 + 88 = 183
78 + 43 = 121
86 + 77 = 163
79 + 47 = 126
74 + 59 = 133
85 + 94 = 179
69 + 78 = 147
91 + 89 = 180
48 + 95 = 143
66 + 45 = 111
73 + 86 = 159
98 + 74 = 172
23 + 79 = 102
163 - 125 = 38
243 - 74 = 169
208 - 92 = 116
262 - 77 = 185
122 - 86 = 36
197 - 82 = 115
159 - 41 = 118
299 - 151 = 148
181 - 87 = 94
196 - 159 = 37
232 - 168 = 64
165 - 76 = 89
241 - 85 = 156
149 - 38 = 111
184 - 95 = 89
124 - 67 = 57
142 - 96 = 46
272 - 119 = 153
261 - 95 = 166
225 - 88 = 137
p.s a calculator does exist.
