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marysya [2.9K]
3 years ago
13

~~~ 30 POINTS ~~~

Mathematics
2 answers:
frez [133]3 years ago
5 0
Let x be the unknown number of all 3 equations
1.) 3x - 2 = x + 10 x=6
2.) x + 4 = 19 - 2x x=5
3.) 8x - 20 = x + 15 x=5
trasher [3.6K]3 years ago
3 0
<span>1)   3x-2=x+10


</span><span>Now, lets solve this step-by-step.
</span><span>
3x - 2 = x + 10
-x             -x
</span><span>
</span><span>3x - x = 2x                                2x - 2 = 10
</span><span>
</span><span>2x - 2 = 10
</span>2x - 2+2 = 10+2          The inverse operation helps isolate the variable. 
<span>
2x = 12

2x/2 = 12/2

x = 12/2
x = 6</span><span>

Answer: x = 6

2) x + 4 = 19 - 2x </span>

We can solve this much faster

x + 4 = 19 - 2x
                  +2x

x+2x = 3x

3x + 4 = 19
      -4     -4

19-4 = 15

3x= 15
3x/3 = 15/3
x= 5

Answer: x = 5

3) 
<span>8x - 20 = x + 15

Much faster now!!

8x - 20 = x + 15
               -x
8x-x = 7x

7x - 20 = 15
      +20   +20
15+20 = 35

7x = 35
7x/7 = 35/7
x = 35/7
x = 5

Answer: x= 5</span>
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There is a 70% chance of rain tomorrow and a 20% chance that the volleyball game will be postponed. What is the probability that
OleMash [197]

Answer:

The correct option is A. 14%

Step-by-step explanation:

There is a 70% chance of rain tomorrow

⇒ The probability that it will rain tomorrow = 0.7

There is a 20% chance that the volleyball game will be postponed

⇒ The probability that the volleyball game will be postponed = 0.2

Now, We need to find the probability that it will rain tomorrow and the volleyball game will be postponed

⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = Probability that it will rain × Probability that the volleyball game will be postponed

⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 0.7 × 0.2

⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 0.14

⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 0.14 × 100

⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 14%

Thus, the correct option is A. 14%

6 0
3 years ago
For f(X)=2x+1 and g(X)=x^2,find (f-g)(X)
Bezzdna [24]

The answer for f(x)-g(x) is -x^2+2x+1.The solution can be obtained by use of concept of functions.

<h3>What is a function?</h3>

A function, in mathematics, can be defined as an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).It useful in mathematical representation of scientific quantities.

We can perform addition and subtraction operations on functions.

The given function f(x) and g(x) are

f(x)=2x+1\\g(x)=x^2\\f(x)-g(x)=2x+1-x^2\\f(x)-g(x)=-x^2+2x+1

The solution for f(x)-g(x) is -x^2+2x+1.

To know more about functions visit:

brainly.com/question/12431044

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3 0
11 months ago
Whag is an equivalent fraction for 3/8
BabaBlast [244]
The fraction for that is 1/2
7 0
2 years ago
Read 2 more answers
What is the maximum number of possible extreme values for the function,
Liula [17]

Answer:

<h2>(0.3, -18.45).</h2>

Step-by-step explanation:

We need to recur to the extreme value theorem, which states: "If a function is continuous on a closed interval, then that function has a maximum and a minimum inside that interval".

Basically, as the theorem states, if a dunction is continuous, then it has maxium or minium.

In this case, we have a quadratic function, which is a parabola. An important characteristic of parabolas is that they have a maximum or a minium, but they don't have both. When the quadratic term of the fuction is positive, then it has a minium at its vertex. When the quadratic term of the function is negative, then it has a maximum at its vertex.

So, the given function is f(x)=x^{2} +4x^{2} -3x-18=5x^{2} -3x-18, where the quadratic term is positive, so the functions has a minimum at V(h,k), where h=-\frac{b}{2a} and k=f(h), let's find that point

<h3>h=-\frac{-3}{2(5)} =\frac{3}{10} =0.3</h3><h3>k=f(0.3)=5(0.3)^{2} -3(0.3)-18=0.45-0.9-18=-18.45</h3><h3 /><h3>Therefore, the minium of the function is at (0.3, -18.45).</h3>
8 0
2 years ago
If Included in the table, which ordered pair (-4,1) or (1,-4), would result in a relation that is no longer a function. Explain
Kruka [31]

Answer:

(-4,1)

Step-by-step explanation:

Ordered pair (-4,1) means that x = -4 and f(x) = 1

Ordered pair (1,-4) means that x = 1 and f(x) = -4

From the table, we can see that the function is already defined for x = -4, but it is not defined for x = 1. So, the point (1,-4) can be included into the function, but the point (-4,1) cannot.

4 0
2 years ago
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