25 divided by 2305 is 0.0106
Answer:
Yes
Step-by-step explanation:
3 x - 2 y = 10
( - 2 , - 8 )
We know that coordinates are put in the form ( x , y ) and from that we can work out that x = -2 and y = -8
Now we just substitute x = -2 and y = -8 into 3 x - 2 y = 10
3 x - 2 y = 10
{ 3 × ( - 2 ) } - { 2 × ( - 8 ) } = 10
{ - 6 } - { - 16 } = 10
- 6 + 16 = 10 True
Answer:
x < -2
Step-by-step explanation:
1. Original Inequality: 10 – 2(2x + 2) > 14
2. 10-4x-4>14
<em>Distribute the -2 to 2x and 2. </em>
3. Simplify the left side: 6-4x>14
<em>Do 10-4 </em>
4. Subtract: -4x>8
<em>Subtract 6 from both sides to get x by itself</em>
5. Divide: x< -
<em>You want to divide by -4 that way you can find what x is. When you divide OR multiply by a negative number in an inequality you are going to need to switch the way the sign is facing.</em>
6. Simplify: x< -2
7. Check:
10-2(2(-3) +2) > 14
10-2(-6 + 2)
10-2(-4)
10+8
18 > 14
Answer:
Step-by-step explanation:
Remark
They are asking you to combine like terms. The total should be 180.
Givens
2 angles
Total 180
Solution
8x - 3 + 4x + 3 = 180 The threes cancel. So add what's left. They are of opposite signs, so they cancel.
12x = 180 Divide both sides by 12
12x/12 = 180 /12
x = 15
Answer:
A. the vertical intercept (often called the y-intercept)
B. the slope of the line
C. V(t) = 100t +2000
D. V(10) = 3000, the value in year 10
E. see attached
Step-by-step explanation:
<h3>a. </h3>
You are told that year 0 is the year that you made the investment. Then the value in year 0 represents <em>the value of the investment in the year you made the investment</em>. (It is sometimes called the "initial value.")
When the function is graphed, the value in year 0 will be the value on the graph at t=0. If t=0 is the vertical axis (as it usually is), then 2000 is the vertical intercept--the point where the line meets the vertical axis.
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<h3>b.</h3>
To find the difference between values in consecutive years, subtract one from the other:
2100 -2000 = 100 . . . . the change in value in consecutive years
On the graph, for each increment of 1 in the value of t, the value of the investment will increase by this amount. That means the slope of the graph (rise/run) is 100/1 = 100. The difference in value in consecutive years is the slope of the graph.
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<h3>c.</h3>
The equation of the line is ...
V(t) = (slope) × t + (vertical intercept)
V(t) = 100t +2000
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<h3>d.</h3>
V(10) = 100×10 +2000 = 1000 +2000
V(10) = 3000 . . . . . the value of the investment in year 10
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<h3>e.</h3>
see attached