Answer: -1 < x < 8
x = 3
x ≠ 2
<u>Step-by-step explanation:</u>
Isolate x in the middle. Perform operations to all 3 sides.
-6 < 2x - 4 < 12
<u>+4 </u> <u> +4</u> <u>+4 </u>
-2 < 2x < 16
<u>÷2 </u> <u>÷2 </u> <u> ÷2 </u>
-1 < x < 8
**************************************************************************
Isolate x. Solve each inequality separately. Remember to flip the sign when dividing by a negative.
4x ≤ 12 and -7x ≤ 21
<u>÷4 </u> <u>÷4 </u> <u> ÷-7 </u> <u>÷-7 </u>
x ≤ 3 and x ≥ 3
Since it is an "and" statement, x is the intersection of both inequalities.
When is x ≤ 3 and ≥ 3? <em>when x = 3</em>
****************************************************************************
Isolate x. Solve each inequality separately.
15x > 30 or 18x < -36
<u>÷15 </u> <u> ÷15 </u> <u> ÷18 </u> <u>÷18 </u>
x > 2 or x < 2
Since it is an "or" statement, x is the union of both inequalities.
When we combine the inequalities, x is every value except 2.
x ≠ 2
1.
<h3>Answer: D) rapid spread of disease</h3>
Choice A is not exponential growth or decay because the cost will go up by the same amount ($2) each time. Choices B and C are exponential, but they aren't growth functions. Rather, they are decay functions. A disease spreads exponentially because one person infects two, and then each of those two people infect two others (making 4 additional people infected), and so on.
===============================
2.
<h3>Answer: C) number of cancer cells over time with treatment</h3>
Assuming the treatment works and it is effective, then the cancer cells will go away over time. One example would be that the population is cut in half each time. Choice A is not an answer because the balance will go down the same amount each time. This is assuming the bus company does not change its prices. Choices B and D are eliminated because they represent growth.
================================
3.
I'm unable to answer this because the table is missing.
================================
4.
If the y values increase or decrease by the same amount, as x increases by some set amount, then you have a linear function. For example, if x increases by 1 pairs up with y increasing by 4, then the slope is 4/1 = 4 and we have a linear function.
--------
On the other hand, if x increases by 1 couples with the y values multiplying by some set amount, then you have an exponential function.
Example:
- (x,y) = (1,2)
- (x,y) = (2,10)
- (x,y) = (3,50)
Each time x increases by 1, y is multiplied by 5.
Answer:the number of True/false questions that the test has is 15
the number of multiple choice questions that the test has is 5
Step-by-step explanation:
Let x represent the number of True/false questions that the test has.
Let y represent the number of multiple choice questions that the test has.
The total number of questions in the test is 20. It means that
x + y = 20
The test consists of True/false question worth 3 points each multiple choice questions worth 11 points each. All the questions are worth 100 points. This means that
3x + 11y = 100 - - - - - - - - - - -1
Substituting x = 20 - y into equation 1, it becomes
3(20 - y) + 11y = 100
60 - 3y + 11y = 100
- 3y + 11y = 100 - 60
8y = 40
y = 40/8 = 5
x = 20 - y = 20 - 5
x = 15
.
Answer:
The measurement of a central angle (in degrees) subtended by an arc is
.
Step-by-step explanation:
as
meters
so
meters
and
meters
Using the formula








Simplify



Therefore, the measurement of a central angle (in degrees) subtended by an arc is
.
Answer:
(-2,1)
Step-by-step explanation:
i graphed it ..its right