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Dafna11 [192]
3 years ago
13

Which of the following rational numbers is equal to 4.5 terminate ?

Mathematics
1 answer:
sammy [17]3 years ago
8 0

Answer:

B......................

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3. (05.06 MC)
AveGali [126]

Answer:

Step-by-step explanation:

y > 3x + 10

y < -3x - 1

<h3> Part A:</h3>

You'd graph the given systems of linear inequalities the same way as you graph the linear equations.  

To graph y > 3x + 10, plot the y-intercept, (0, 10), then use the slope, m = 3 (rise 3, run 1), to plot other points on the graph.  Use a dashed line (because of the ">" symbol).  

Follow the same steps for the other linear inequality. Plot the y-intercept, (0, -1), then use the slope, m = -3 (down 3, run 1) to plot other points. Use a dashed line (because of the "<" symbol).  

Pick a test point on either side of the boundary line and plug it into the original problem.  This will help determine which side of the boundary line is the solution.  Plug in a test point that is not on the boundary line.

Use the point of origin, (0, 0) as the test point. Plug in these values into the given systems of linear inequalities to see whether it will provide a true statement.  

y > 3x + 10

0 > 3(0) + 10

0 > 0 + 10

0 > 10 (False statement).  

y < -3x - 1

0 < -3(0) - 1

0 < 0 - 1

0 < -1 (false statement).  

Since the point of origin provided a false statement to the given systems of linear inequalities, you must shade the half-plane region where it doesn't contain the test point.  

<h3>Part B: </h3>

You'll do the same process as what I've done for the test point. Plug in the values of (8, 10) into the given systems of linear inequalities. If it provides a false statement, then it means that it is not a solution to the system.  

y > 3x + 10

10 > 3(8) + 10

10 > 24 + 10

10 > 34 (False statement).  

y < -3x - 1  

10 < -3(8) - 1

10 < -24 - 1

10 < -25 (false statement).  

Therefore, (8, 10) is not a solution to the system.    

8 0
3 years ago
What is 35% of 60? just had to be 20 words
Vladimir [108]

Answer:

35% of 60 = 21

4 0
2 years ago
Read 2 more answers
(-3/4)*(-3/5)*(-1)= <br> pls help my teacher is gonna kill me
GaryK [48]

Answer:

-9/20

Step-by-step explanation:

For the first two terms, all you have to do is multiply the numerators and the denominators, and cancel out the negative, but because there is a -1 after that, the negative sign comes back, although the -1 doesn't really change the number.

3 0
3 years ago
Elliot spent $16.15 on ground beef at a grocery store. He purchased 3 and 2 over 5 pounds of ground beef. What is the price per
Andrej [43]

We want to know how much is the price per pound (or unit rate) of ground beef, given that we know the price for Elliot's purchase. We will see that each pound costs $4.75

So we know that (3 + 2/5) lb of ground beef costs $16.15, the cost of a single pound will be given by the quotient between the total cost and the amount purchased, then we need to solve:

P =\frac{ \$ 16.15}{(3 + 2/5)lb}

We can rewrite the denominator as:

(3 + 2/5)lb = (15/5 + 2/5)lb = (17/5) lb

Replacing that we get:

P =\frac{ \$ 16.15}{(17/5)lb} = \frac{ \$ 16.15*5}{17lb} = \$4.75   \ per  \ lb

So each pound of ground beef costs $4.75

If you want to learn more about unit rates, you can read:

brainly.com/question/2375289

4 0
2 years ago
In Image:
iris [78.8K]

Answer:

The answer to your question is          x ≠ -10   x ≠ 2     x ≠ -2

Solution                                                \frac{(x- 8)(x + 2)}{(x + 8)(x - 2)}      

Step-by-step explanation:

Process

1.- Factor all the polynomials

              \frac{x^{2} -3x - 40}{x^{2} + 8x - 20} / \frac{x^{2}+ 13x + 40}{x^{2}+ 12x + 20} = \frac{(x-8)(x + 5)}{(x + 10)(x- 2)} / \frac{(x+ 8)(x + 5)}{(x + 10)(x + 2)}

2.- Invert the second term

                                             = \frac{(x- 8)(x + 5)}{(x +10)(x - 2)}  \frac{(x+ 10)(x + 2)}{(x + 8)(x +5)}

3.- Simplify

                                              = \frac{(x- 8)(x + 2)}{(x + 8)(x - 2)}

4.- x must be different to

            x ≠ -10   x ≠ 2     x ≠ -2

This values are from the factor expressions and then equal to zero.

8 0
3 years ago
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