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Lelechka [254]
3 years ago
14

given the functions f(x)=4x^2-1, g(x)=x^2-8x+5, and h(x)=-3x^2-12x +1, rank them from least to greatest based on their axis of s

ymmetry
Mathematics
1 answer:
Lesechka [4]3 years ago
7 0
The formula for axis of symmetry is -b/2a.

For f(x):
0/2(4)
0/8
Axis of symmetry= 0

For g(x)
-(-8)/2(1)
8/2
Axis of symmetry= 4

For h(x)
-(-12)/2(-3)
12/-6
Axis of symmetry= -2

Order from least to greatest: -2, 0, 4

Final answer: h(x), f(x), g(x)
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Line b passes through the Point(-3, -4) and has a slope of -1/2. What is the equation of Line b in standard form?
Anna11 [10]

Answer:

x+2y=-11

Step-by-step explanation:

Slope intercept form of a line is given by:

y=mx+b

Where

m is the slope and b is the y-intercept

Given slope is  -\frac{1}{2}

We can write:

y=-\frac{1}{2}x+b

Now to find b, we replace x with -3 and y with -4, given, so we have:

y=-\frac{1}{2}x+b\\-4=-\frac{1}{2}(-3)+b\\-4=\frac{3}{2}+b\\b=-5.5

So, the equation is:

y=-\frac{1}{2}x-\frac{11}{2}

Now,

The standard form is given by:

Ax+By=C

So, we take x and y to left side and the constant to right side. Rearranging, we get:

y=-\frac{1}{2}x-\frac{11}{2}\\2y=-x-11\\x+2y=-11

The first answer choice is right.

3 0
3 years ago
What is the boundedness
DedPeter [7]

Answer:

Boundedness requires that there is only a bounded number of different kinds of parts

Step-by-step explanation:

8 0
3 years ago
1. What is the area of this triangle?
Nimfa-mama [501]

Answer:

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Step-by-step explanation:

7 0
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What are the values of the coefficients and constant term of 0 = 4 – 7x2 + x in standard form?
sweet [91]

Answer:

a = -7 and b = 1.  The constant term is 4

Step-by-step explanation:

In standard form, this equation is -7x^2 + x + 4 = 0

The coefficients are a = -7 and b = 1.  The constant term is 4.

7 0
3 years ago
Read 2 more answers
What is the domain and range for the following function and its inverse?
Basile [38]

Answer:

"f(x)  

domain: all real numbers, range: all real numbers  

f–1(x)  

domain: all real numbers, range: all real numbers"

Step-by-step explanation:

We can use the fact that the domain of a function and the range of its inverse are equal.

Also, the range of the function and the domain of its inverse are equal as well.

<em>Looking at the function f(x/ = -x + 5, we see that this is a line with a negative slope of 1 and a y-intercept of +5. </em>

As we know from the graph of lines, there is no restricting values in x and y. So for the original function,  domain is the set of all real numbers and the range is the set of all real numbers.

For the inverse, the range is set of all real numbers and domain is also the set of all real numbers.

First answer choice is right.

4 0
3 years ago
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