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2 years ago

Alec says the sum of two numbers can never be less than either number.

Mathematics

1 answer:

STatiana [176]2 years ago

4 0

Answer:

If you put two things together it cannot be less than what was originally there.

Step-by-step explanation:

For example if you have two bowls of soup and you add them together you will have more soup.

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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

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katrin2010 [14]

You will need to subtract if u are taking 15% off

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2 years ago

Use the discriminant to find what type of solutions the equation has,<br> 3x^2+ 7x = 7

kherson [118]

X
=
−
7
±
133
6
x=
6
−7±
133

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2 years ago

A b c or d?? Lmk..Brainly

jeyben [28]

Answer:

28.3 (b)

Step-by-step explanation:

To solve circumference, you will need to use the equation C = 2 *pi* r

for this, we will use 3.14 for pi and the radius is 4.5 so this is how we need to solve it

C= 2 pi (4.5) Solve 2*4.5

C= 9 pi Now we input 3.14 for pi and multiply

C= 9(3.14)

C= 28.26 Now we round to the nearest tenth to get

C=28.3

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2 years ago

Y=x^2-4x-3<br> y=-2x^2-5x+1

Serggg [28]

Hi! This is the solution of your equation!

Download docx

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2 years ago