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erastovalidia [21]
3 years ago
6

(help!) Without graphing or solving either system of equations explain how you know what the solution to the system is.

Mathematics
1 answer:
Pavel [41]3 years ago
3 0

Answer:

For A, both  equations have the same slope, but different y-intercepts. This means that they are parallel, and will never cross, meaning there is no solution.

For B, it's the same equation, meaning that they are always crossing (it's the same line!), so there are infinite solutions.

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The sum S of the first n integers is given by the formula S=1/2n(n+1). How many integers must be taken to have a sum of
statuscvo [17]

Answer:

25

Step-by-step explanation:

We require to solve for n, hence

\frac{1}{2} n(n + 1) = 325

multiply both sides by 2 to eliminate the fraction

n(n + 1) = 650

n² + n = 650

subtract 650 from both sides to have equation in standard form

n² + n - 650 = 0 ← in standard form

(n + 26)(n - 25) = 0 ← in factored form

equate each factor to zero and solve for n

n + 26 = 0 ⇒ n = - 26

n - 25 = 0 ⇒ n = 25

however, n > 0 ⇒ n = 25


5 0
3 years ago
An explanation or answer is good. It doesn’t matter which one
shtirl [24]
You have to plug in the numbers for x
7 0
2 years ago
Y-5, y=2x^2-16x+29, use substitution to solve the system of equations
seraphim [82]

Answer:

2x^2-16x+34

Step-by-step explanation:

Since Y is equal to -5

And  you substitute -5 in the equation.

You now have -5=2x^2-16x+29

Add 5 to both sides

5-5=2x^-16x+29+5

7 0
2 years ago
Danielle pays a monthly charge of $69 for her cable bill. She also pays a fee every time she watches a movie on demand. Last mon
raketka [301]

Answer:

5

Step-by-step explanation:

First, take away the monthy charge of 69$ just to have cable from 104$, then you will want to see that there is still a mysterious 35$ left from the bill after cable was removed. That 35$ is to be divided amoungst the 7 movies on demand that Danielle watched , leading you to get 5$ per movie on demand as your answer.

3 0
3 years ago
Read 2 more answers
ziggy sells coffee and donuts , the total number of cofees and donuts ziggy sells today is 100. Ziggy charges 3$ for coffee and
sergejj [24]
You use a system of equations
x= coffee
y= donuts
x+y=100
3x+y=180
there’s 3 ways to solve system of equations substitution graphing and elimination. it would be easiest to use substitution here. So you multiply x+y=100 by -1 so it become -x-y=-100. then you combine it with the other equation and get 2x=80 so x=40 which means 40 cups of coffee were sold then you plug it back in to find y. 40+y=100. y=60.
y= 60 (donuts). x= 40 (coffee)
6 0
3 years ago
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