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pentagon [3]
3 years ago
8

A function is shown in the table below. What equation represents this function?

Mathematics
1 answer:
yawa3891 [41]3 years ago
4 0

Answer:

The equation is y = -3*x + 6.

Step-by-step explanation:

Looking at the data we can see that everytime "x" goes up by 1 the rate of change in "y" is -3. The function also appear to be changing in a linear fashion, therefore we can use a formula such as:

y = a*x + c

Since tha rate of change is -3, then a = -3:

y = -3*x + c

Applying the equation above to a few points must give us the value for c:

12 = -3*(-2) + c

12 = 6 + c

c = 6

9 = -3*(-1) + c

9 = 3 + c

c = 6

Therefore the equation is:

y = -3*x + 6.

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The area of a rectangle is 135 square feet. The width is 6 feet less than the length. Find the dimensions of the rectangle
drek231 [11]

The length is 15 inches and width is 9 inches

Step-by-step explanation:

Let

l be the length

and

w be the width

w = l-6

The area of rectangle is 135 ft^2

The formula for area is:

Area=l*w\\135=l*(l-6)\\135=l^2-6l\\l^2-6l-135=0\\l^2+9l-15l-135=0\\l(l+9)-15(l+9)=0\\(l+9)(l-15)=0\\l+9 = 0 => l=-9\\l-15 = 0 => l=15\\

As the length cannot be negative, so we will use the value of length 15

If length 15,

w=l-6

w=15-6

w=9

So,

The length is 15 inches and width is 9 inches

Keywords: Area of rectangle, Quadratic equation

Learn more about quadratic equation at:

  • brainly.com/question/10941043
  • brainly.com/question/10978510

#LearnwithBrainly

7 0
3 years ago
there are 49 dogs signed up for the dog show. there are 36 more small dogs than large dogs. how many small dogs are signed up fo
pogonyaev
Okay, so total dogs are 49.
So we know if x=large dogs and y=small dogs, then x+y=49.
Next we are told that there are 36 MORE small dogs than large dogs. We can take that more meaning addition, and x being our value for large dogs. So y=x+36.
After that we now know what value we can plug in for y. So x+x+36=49.
We can then simplify it to 2x+36=49.
Subtracting the 36 from both sides, leaves you with 2x=13.
Followed by dividing both sides by 2, gives you x=6.5. Or 6.5 large dogs.
Now we can plug this into our formula for the small dogs (y=x+36) to give us y=6.5+36, which simplifies to y=42.5. Or 42.5 small dogs. Which is our answer.
We can double check it by adding the small and large dogs together, 6.5+42.5, which gives us 49, our total entries.
4 0
4 years ago
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Answer: 18.75%

Step-by-step explanation:

Here is the complete question:

Last month, a cafe had 3200 customers. 600 of them ordered gluten-free meals. What percentage of the customers ordered gluten-free meals?

To find the percentage of the customers who ordered gluten-free meals, we will divide the number of people who ordered glutton free meal by the total number of customers and then multiply by 100. This will be:

= 600/3200 × 100

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