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julsineya [31]
4 years ago
9

Find the minimum y-value on the graph y=f(x) f(x)= x^2+4x-5

Mathematics
1 answer:
djverab [1.8K]4 years ago
8 0
There are two ways to solve the problem: using calculus and algebra. For this, I'll be using the algebraic way. The function is parabolic, thus the minimum value is the ordinate of the vertex. Using completing the square, we could get the vertex of the parabola.

y = x^2 + 4x - 5y = x^2 + 4x + 4 - 5 - 4y = (x + 2)^2 - 9Vertex is (-2, -9). 

Therefore, the minimum value is -9.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

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(a) determine the null and alternative hypotheses, (b) explain what it would mean to make a Type I error, and (c) explain what i
iren2701 [21]
Null: the mean amount of peanut butter in a jar is equal to 32 oz.
alternative: the mean amount of peanut butter in a Jar is less than 32oz.

type 1 error is is rejecting the null when it is actually true. this means that we would say that the mean amount of peanut butter is not equal to 32 when it actually is.

type 2 error is failing to reject the null when it is actually false. this means that we would say the mean amount of peanut butter is equal to 32 when in reality it is less.
3 0
3 years ago
The width of a rectangular is 12 units. can the perimeter x of the rectangle can be 60 units when it's length y is 18 units
inn [45]
Yes. It's a rectangle so width*2 + length*2=perimeter
12*2=24
18*2=36
24+36=60
3 0
4 years ago
What is the better buy<br> 1. 2 trains for $25 <br> or<br> 2.6 trains for 90$
creativ13 [48]

Answer:

1.2 trains for $25.

Step-by-step explanation:

For 50 dollars, you could get 2.4 trains with the $25 dollar option.

For 90 dollars (an extra 40 dollars!) you only get 0.2 more trains.

If you add another $25 to the current $50 on the other option, you get 3.6 trains.

So, 1.2 trains for $25 must be the better option as you can get an extra 1 train for 15 dollars less!

Hope this helps!

Also, who buys 0.2 or 0.6 of a train? -_-

5 0
3 years ago
Read 2 more answers
Solve 3x + 70 - 7x is greater than or equal to 18
Anit [1.1K]
Okay, let's work this out.

<span><span><span>3x</span>+70</span>−<span>7x</span></span><span>=<span><span><span><span>3x</span>+70</span>+</span>−<span>7x

</span></span></span>Combine Like Terms:<span>=<span><span><span>3x</span>+70</span>+<span>−<span>7x</span></span></span></span><span>=<span><span>(<span><span>3x</span>+<span>−<span>7x</span></span></span>)</span>+<span>(70)</span></span></span><span>
=<span><span>−<span>4x</span></span>+<span>70

Answer -4x+70

I really don't understand what you mean by this, perhaps you wrote the question wrong, but it would be great than 18.


</span></span></span>
6 0
3 years ago
Identify the type of triangles
Margarita [4]

answer 6cm , 3cm , 6cm, this the answer

4 0
3 years ago
Read 2 more answers
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