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xenn [34]
3 years ago
11

Solve the inequality. 5w + 8 > 14

Mathematics
1 answer:
Jet001 [13]3 years ago
6 0
If you would like to solve the inequality 5 * w + 8 > 14, you can calculate this using the following steps:

5 * w + 8 > 14
5 * w > 14 - 8
5 * w > 6     /5
w > 6/5
w > 1 1/5

The correct result would be w > 1 1/5.
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Use the figure to find the measures of<br> &lt;1 and &lt;2
Romashka [77]
Angle 1 = 134
angle 2 = 46

explanation:
angle 1 is a supplementary with 46
angle 2 is alternate interior with 46
6 0
2 years ago
Determine whether the equation x^3 - 3x + 8 = 0 has any real root in the interval [0, 1]. Justify your answer.
nikdorinn [45]

Answer:

The equation does not have a real root in the interval \rm [0,1]

Step-by-step explanation:

We can make use of the intermediate value theorem.

The theorem states that if f is a continuous function whose domain is the interval [a, b], then it takes on any value between f(a) and f(b) at some point within the interval. There are two corollaries:

  1. If a continuous function has values of opposite sign inside an interval, then it has a root in that interval. This is also known as Bolzano's theorem.
  2. The image of a continuous function over an interval is itself an interval.

Of course, in our case, we will make use of the first one.

First, we need to proof that our function is continues in \rm [0,1], which it is since every polynomial is a continuous function on the entire line of real numbers. Then, we can apply the first corollary to the interval \rm [0,1], which means to evaluate the equation in 0 and 1:

f(x)=x^3-3x+8\\f(0)=8\\f(1)=6

Since both values have the same sign, positive in this case, we can say that by virtue of the first corollary of the intermediate value theorem the equation does not have a real root in the interval \rm [0,1]. I attached a plot of the equation in the interval \rm [-2,2] where you can clearly observe how the graph does not cross the x-axis in the interval.  

6 0
2 years ago
What is the probability of rolling a number greater than 4 on a number cube and then spinning an
oee [108]

Answer:

1/6

Step-by-step explanation:

There are 2 numbers greater than 4 on a die (5 and 6).

A spinner divided into 12 equal sectors numbered 1 through 12 has 6 even numbered sectors.

Therefore, the probability is:

P = (2/6) (6/12)

P = 1/6

5 0
2 years ago
What is the value of x?<br><br> Enter your answer in the box.<br><br> x =
Dmitry_Shevchenko [17]
Answer: x = 20

We know opposite angles are equivalent so we can set both of these expressions equal to each other to solve for x.

3x + 50 = 6x - 10
50 = 3x - 10 (subtract 3x from both sides)
60 = 3x (add 10 to both sides)
20 = x (divide both sides by 3)

8 0
3 years ago
Answer 10,11 and 12 for 100 points
geniusboy [140]
10) 7(2m+3)
11) 3(3r-1)
12) 2p(5q+4)
3 0
3 years ago
Read 2 more answers
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