3 years ago

Determine the number of solutions based on the graph for the following system of equations.

1 answer:

3 0

When reduced, both of these equations are

y=(-2/5)x + 7/5, which means they are the same line and therefor have infinitely many solutions

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2x-4y =8with domain -2

givi [52]

2x-4y=8 --> (4y=-2x+8)/2 ---> (2y=-x+4)/2 --> y=-1/2+2
slope is -1/2 domain is (2, 0)

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3 years ago

Fresh Fruits sells 10 lemons for $2.50. What is the price for 1 lemon

Mnenie [13.5K]

Answer:

25 cents per lemon

Step-by-step explanation:

Simply divide

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I'm not sure but I think its c

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Vladimir [108]

Answer:

Step-by-step explanation:

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3 years ago

Write down the quadratic equation whose roots are $x = -7$ and $x = 1,$ and the coefficient of $x^2$ is 1. Enter your answer in

pav-90 [236]

<h2>Steps:</h2>

So firstly, since we know that the coefficient of x² is 1, this means that this is our base equation:

y = x² + bx + c

Now, since we know that the roots are -7 and 1, set y = 0 and set x = -7 and 1 and simplify:

$0=(-7)^2+b(-7)+c\\0=49-7b+c\\-49=-7b+c\\\\0=1^2+b(1)+c\\0=1+b+c\\-1=b+c\\\\-49=-7b+c\\-1=b+c$

Now with this, we can set up a system of equations to solve for b and c. For this, I will be using the elimination method. For this, subtract the 2 equations:

$\begin{alignedat}{2}-49&=-7b+c\\-(-1&=b+c)\\-48&=-8b\end{alignedat}$

Now that the c variable has been eliminated we can solve for b. For this, divide both sides by -8 and your first part of your answer is b = 6.

Now that we know the value of b, plug it into either equation to solve for c:

$-49=-7(6)+c\\-49=-42+c\\-7=c\\\\-1=6+c\\-7=c$

<h2>Answer:</h2>

<u>Putting it together, your final answer is x² + 6x - 7 = 0.</u>

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3 years ago