If you owe money to a creditor, you are a ____

The eighth-grade class is planning a trip to Washington, D.C. this spring. They need a minimum of

Hoochie [10]

Answer:

There needs to be 174 Students in the 8th grade class.

Step-by-step explanation:

173(1/3) is 58

58+17=75

3 0

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>

4 0

3 years ago

What is the length of the diagonal of a square with side lengths 7 square root of 2 ? round to the nearest tenth if necessary?

mr_godi [17]

There is 2 ways to solve this type of question.

Method 1
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Formula
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a² + b² = c²

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Apply the formula
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(7√2)² + (7√2)² = c²
c² = 98 + 98
c² = 196
c = √196
c = 14

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Ans: The diagonal length is 14cm
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_____________________________________________________________

Method 2
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Identify the triangle
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This is a special triangle
45° - 45° - 90°

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Property of the Angles
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x - x - x√2

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Find hypotenuse
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Given that the non-hypotenuse is 7√2

Hypotenuse = (7√2)(√2)
Hypotenuse = 7 x 2
Hypotenuse = = 14cm

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Ans: The diagonal length is 14cm
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6 0

3 years ago

Figure 3:

Firdavs [7]

C) 18 because you could get 6 numbers with red, 6 numbers with brown and 6 numbers with yellow.

8 0

3 years ago

How are piecewise functions and infinite limits alike? How are they different?

Shtirlitz [24]

Answer: i got 100% on the journal activity on EDGE with this “ The difference of piecewise functions and infinite limits is the graphs, with piecewise functions you're graphing several equations... when looking at a graph with an infinite limit there is a difference. A similarity they do have is their end points.” I haven’t been paying attention at all so this I made this up and some how it works(?!)

Step-by-step explanation: I’m not sure if it’s even correct but it worked as a response!

3 0

3 years ago

If you owe money to a creditor, you are a _____.