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kkurt [141]
2 years ago
8

1. The table shows a function.

Mathematics
1 answer:
Nataliya [291]2 years ago
7 0

Answer: a) Linear function

 b) adding 8 each time x increases by 1

c) (0,13)


Step-by-step explanation:

For the given table, the rate of change is constant throughout the table.

The rate of change = \frac{change\ in\ y}{change\ in\ x}=\frac{21-13}{1-0}=8

Similarly we can check for every interval, the rate of change remains constant .

Thus, it is a linear function and the pattern we observe here is "adding 8 each time x increases by 1".

We know that the ordered pair of y intercept = (0,y)

In the table at x=0, y=13

hence, the y intercept of the given function is (0,13)

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a number machine uses a rule to charge input numbers into output numbers. this number machine charged 4 into 16, 5 into 20, and
DaniilM [7]

Answer:

28

Step-by-step explanation:

The function that we have in this is f(x) = 4x.  We can see this in 4 * 4 = 16,  5 * 4 = 20 and 6 * 4 = 24.   Therefore,  following the pattern,  7 * 4 = 28.

6 0
2 years ago
Ben is going to make 1/4 pound burgers for a barbecue next weekend. He is planning on making 19 burgers. How much hamburger meat
Monica [59]

Answer:

4.75 pounds of hamburger meat

Step-by-step explanation:

In order to calculate the total amount of hamburger meat that Ben would need we would need to multiply the total number of burgers that he wants to make (19) by the amount of meat each burger will use (1/4 pound or 0.25 pound). Therefore, we would do the following...

19 * 0.25 = 4.75 pounds

Finally, we can see that Ben would need a total of 4.75 pounds of hamburger meat to make 19 equal sized 1/4 pound burgers.

4 0
3 years ago
the length of a flag is 0.3 foot less than twice its width. if the perimeter is 14.4 feet longer than the width, find the dimens
forsale [732]
x-\ length\\
y-\ width\\\\
x+0.3=2y\ \ \ \ \ | subtract\ 0.3\\x=2y-0.3\\
perimeter=2x+2y\\ 2x+2y-14.4=y\\\\
2*(2y-0.3)+2y-14.4=y\\
4y-0.6+2y-14.4=y\\
6y-15=y\ \ \ | add\ 15\\
6y=15+y\ \ | subtract\ y\\
5y=15\ \ \ | divide\ by\ 5\\
y=3\\
x=2y-0.3=2*3-0.3=6-0.3=5.7\\\\
Dimensions:\ length=5.7\ feet\, width=3\ feet.
4 0
3 years ago
If the area of the following parallelogram is 135 square feet, what is the length of the base?
sleet_krkn [62]

Answer:

9ft

Step-by-step explanation:

The area is 135ft and the formula for area is length x width.

on the image it shows the height is 5yds and we want feet since that's that the area is in. a yard = 3 feet so its 3 x 5 = 15.

since the formula to find area is multiplication, use division to find a number in the equation. so

135 divided by 15 = 9.

The length of the base is 9ft.

7 0
2 years ago
Translate each of the following into an expression or equation:
Harrizon [31]

Answer:

You have to translate these sentences into expressions.  I am not going to solve all of these because if I explain one/two problems to you, you'll get the hang of it.  Seven more than three times a number: 7+3x; Five times a number decreased by six: 5x-6

Step-by-step explanation:

Why?  We don't know what number that is, so we can put any variable like (x, y, z, a, b, etc.). Three times a number is simply that number times 3.  In this case we would input: 3*x, or 3x.  7 more than that number is 3x+7.  Five times a number decreased by six: 5x-6 .  Remember: it is simply 5*x which simplifies to 5x.  Decreased is take away, so take away 6, and get 5x-6

Key words: Quotient: the result after dividing two/or more numbers; Product: the result after multiplying two/ or more numbers; Decreased: take away (Example: x decreased by 7=x-7)

I hope you understand!! It is very simple after you start to get the hang of it!!

4 0
3 years ago
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