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3 years ago

Can anyone help? I really need it

Mathematics

1 answer:

ElenaW [278]3 years ago

4 0

Answer:

Step-by-step explanation:

Both equations should be in slop-intercept form (y=mx+b)

So add -2x to -6. Your equation should look like this

y=2x-6

In y=mx+b

b will fall on y-axis

mx is rise/run

So in the first equation plot -6 on y axis and go up 2 and over 1(because 2x is equivalent to 2/1 x)

In the second equation plot -1 on the y axis. Then go up 1 and over 3 from that point.

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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

Tell whether the ratios are equivalent: 3 days to 4 hours and 9 days to 12 hours. show your work.

bonufazy [111]

Answer:

yes.

Step-by-step explanation:

write these ratios as fractions to see if they are proportional

3/4

9/12 -------> this can be simplified by dividing by 3

= 3/4

therefore yes they are equivalent

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