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Digiron [165]
3 years ago
14

Find all relative extrema of the function. use the second derivative test where applicable. (if an answer does not exist, enter

dne.) f(x) = x2 + 3x − 1

Mathematics
1 answer:
Alinara [238K]3 years ago
7 0
The given quadratic describes a parabola that opens upward. Its one absolute extreme is a minimum that is found at x = -3/2. The value of the function there is
  (-3/2 +3)(-3/2) -1 = -13/4

The one relative extreme is a minimum at (-1.5, -3.25).

_____
For the parabola described by ax² +bx +c, the vertex (extreme) is found where
  x = -b/(2a)
Here, that is x=-3/(2·1) = -3/2.

You might be interested in
How do you solve a/7+5/7=2/7
Anton [14]
\frac{a}{7} + \frac{5}{7} = \frac{2}{7} \\ \frac{a + 5}{7} = \frac{2}{7} \\ 7(\frac{a + 5}{7}) = 7(\frac{2}{7})
a + 5 = 2
a + 5 - 5 = 2 - 5
a = -3

Hope this helps! :)
4 0
3 years ago
Please help me fast I still nee to finish 2 more ixl's by monday!!!!
sleet_krkn [62]

Answer:No

Step-by-step explanation:

Given system of equation is:

2x + 3 = y

2x + y = 15

To check whether (2,7) is solution to this system or not, we will put x=2 and y=7 in both equations.

Putting x=2 and y=7 in Eqn 1

2(2) + 3 = 7

4 + 3 = 7

7 = 7

Thus the ordered pair satisfies the equation

Putting x=2 and y=7 in Eqn 2

2(2) + 7 = 15

4 + 7 = 15

11 ≠ 15

The ordered pair do not satisfy the second equation.

Hence,

(2,7) is not a solution to the given system of equations.

3 0
2 years ago
Complete the square to solve the equation below. check all that apply.<br><br> x^2 + 8x - 1 = 19
Andreas93 [3]
X=-10,x=2.I hope this helps.
8 0
1 year ago
Read 2 more answers
Can someone please tell me why I got this wrong?
kvasek [131]
We have 
f(x)=<span>−x</span>²<span>+ 5x + 6
g(x)=</span><span>3x − 2

we know that
f(x)=g(x)
the solution is the intersection both graphs

using a graph tool
see the attached figure

the solution are the points
(4,10)
and
(-2,-8)

</span>

8 0
3 years ago
Describe a similarity transformation that maps △ABC
PIT_PIT [208]

Let's start with a picture.

We see RST is smaller, and BC is parallel to but in the opposite direction to its corresponding segment ST.  Both have slope -1.

If we look at the difference of points (technically called vectors but we don't have to go there) we get

C-B=(-2,2)

T-S=(1,-1)

Without further calculation we can see T-S is half the length of C-B.

The problem asks for a dilation followed by a reflection.   We know the dilation scale is k=1/2 because the new triangle is half the size.  

After dilation we get A'B'C':

A'(3,2), B'(-1,0), C'(-2,1)

We see now we need a reflection that flips the coordinates x and y.  That's the +45° line through the origin, namely y=x.

Answer: k=1/2, y=x

7 0
3 years ago
Read 2 more answers
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