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Morgarella [4.7K]
3 years ago
10

Represent the proportional relationship described with an equation where d equals dogs and c equals cats: three dogs for each ca

t
Mathematics
1 answer:
amid [387]3 years ago
8 0
The equation would be y= 3d + c
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Determine whether the point is on the graph of the equation 2x+3y=8.<br> (1,2)
geniusboy [140]

The point (1,2) is on the graph of the equation.

Explanation:

The equation is 2x+3y=8

We need to determine the point (1,2) is on the graph.

To determine the point (1,2) is on the graph, we need to substitute the point in the equation and find whether the LHS is equal to RHS.

Thus, substituting the point (1,2) in the equation 2x+3y=8, we get,

2(1)+3(2)=8

Multiplying the terms within the bracket, we have,

2+6=8

Adding the LHS, we have,

8=8

Thus, both sides of the equation are equal.

Hence, the point (1,2) is on the graph of the equation 2x+3y=8

3 0
3 years ago
One of two numbers is five more than other. the sum of the numbers is 17 find the numbers
Vesna [10]
The numbers are 11 and 6.

Hope this helps!!!
4 0
4 years ago
Simplify -(-2a + 13) + (-9a - 2) - (-7a - 3)
nadya68 [22]
-12 hope it helps :)
5 0
4 years ago
Read 2 more answers
ALGEBRA 1, SEMESTER 2
SIZIF [17.4K]

So firstly, we have to find f(x) when x = 8 and x = 0. Plug the two numbers into the x variable of the function to solve for their f(x):

f(0)=\frac{2*0+3}{3*0-3}\\ f(0)=\frac{0+3}{0-3}\\ f(0)=\frac{3}{-3}\\ f(0)=-1\\ \\ f(8)=\frac{2*8+3}{3*8-3}\\ f(8)=\frac{16+3}{24-3}\\ f(8)=\frac{19}{21}

Now that we have their y's, we can use the slope, aka average rate of change, formula, which is \frac{y_2-y_1}{x_2-x_1} . Using what we have, we can solve it as such:

\frac{\frac{19}{21}-(-1)}{8-0}=\frac{\frac{40}{21}}{8}=\frac{40}{21*8}=\frac{40}{168}=\frac{5}{21}

In short, the average rate of change from x = 0 to x = 8 is 5/21.

8 0
3 years ago
QUESTION 16<br> What is the absolute value of -72?
11Alexandr11 [23.1K]

The absolute value of -72 is 72.

Absolute value is essentially just making the number given positive.

If the given number is already positive then the absolute value is the same as the original number

Hope this helped!

~Just a girl in love with Shawn Mendes

3 0
4 years ago
Read 2 more answers
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