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krek1111 [17]
3 years ago
10

What is the vertex of the graph of the following equation? y = x^2 + 2x-3

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
6 0

Answer:

vertex = (- 1, - 4 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - \frac{b}{2a}

y = x² + 2x - 3 ← is in standard form

with a = 1, b = 2 , then

x = - \frac{2}{2} = - 1

Substitute x = - 1 into the equation for corresponding value of y

y = (- 1)² + 2(- 1) - 3 = 1 - 2 - 3 = - 4

vertex = (- 1, - 4 )

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Yes because 3 * 2 * 4 = 24
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4 years ago
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Solve for x:<br> x + 3x - 19 = 17
Natasha_Volkova [10]
<h2><u>Answer:</u></h2><h2><u></u>\boxed{\boxed{\sf{x=9}}}<u></u></h2><h2><u></u></h2><h2><u>Solution Steps:</u></h2>

______________________________

<h3>1.) Combine x and 3x:</h3>
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<em>  - We combine the </em>(x)<em> variables because to get to the end sum of the equation, there can only be 1 variable. So to get the 1, you combine like terms. </em>

<em />

<h3>2.) Add 19 to both sides:</h3>
  • -19+19= Cancels Out
  • <em></em>17+19=36<em></em>

<em>  - We do this to get 1 number left over. To do this you do the opposite of what you see. In this case we have a negative 19, so you add 19 on each side of the equals. </em>

<em />

<h3>3.) Divide both sides by 4:</h3>
  • 4x ÷ 4=x
  • 36 ÷ 4=9

<em>  - We do this to get x alone. To do this you do the opposite of what you see. In this case we have </em>4(x)<em> which is multiplying, so you divide by 4 on each side. </em>

<em />

So your answer is \bold{x=9}.

______________________________

7 0
3 years ago
HELLO!!! PLEASE HELP?! BRAINLIEST ANSWER INCLUDED! A sample of 130 firecrackers contained 9 duds. How many duds would you expect
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you would expect 99 duds in a box of 1430. 1430 divided by 130 is 11. therefore, multiply the amount of duds in the package of 130 times 11.


Hope this helps!!

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Answer:

Ishaan is now 6.

Step-by-step explanation:

If Ben is 12 years older, and you have the info that <em>three</em> years ago, he was <em>4 </em>times as old, then all you have to do is divide 12 by 4, giving you 3. You add 3 to that because it's been three years. You have your answer of 6.

Hope this helps! :)

4 0
3 years ago
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Answer:

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Step-by-step explanation:

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