1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lelechka [254]
2 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]2 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)
You might be interested in
What is the slope of a line that contains the points (12,17) and (-8,-17)
professor190 [17]
\frac{y2 - y1}{x2 - x1}
\frac{ - 17 - 17}{ - 8 - 12} = \frac{ - 34}{ - 20} = \frac{17}{10}
Alternative forms:
1 \frac{7}{10} \: or \: 1.7
Slope: 17/10
Equation : y= 17/10x
6 0
3 years ago
A line includes the points (4, 8) and (3, 5). What is its equation in slope-intercept form? Write your answer using integers, pr
stich3 [128]

Answer:

A line includes the points (4, 8) and (3, 5) whose equation in slope-intercept form will be :

y=3x-4

Step-by-step explanation:

The point slope form: (x_1,y_1) and(x_2,y_2)

(y-y_1)=m(x-x_1)

where : m = Slope of the line

m=\frac{y_2-y_1}{x_2-x_1}

A line includes the points (4, 8) and (3, 5).The equation of the line will be:

m=\frac{5-8}{3-4}=3

(y-8)=3\times (x-4)

y-8=3x-12

y=3x-4

(y=mx+c), where c is intercept at y axis.

The above equation represents slope-intercept form of the line.

6 0
3 years ago
the ratio of the number of galleons to the number of galleys in the Spanish armada was 5:1 what missing information could be use
Ahat [919]
Either the amount of galleons or the galleys.

if given the amount of galleons, you can find the amount of galleys by dividing the number of given galleons by 5.

if given the amount of galleys, you can find the amount of galleons by multiplying the number of given galleys by 5.
7 0
2 years ago
Read 2 more answers
Which of these limits evaluate to 0?
Vikentia [17]
<h3>Answer: C) I and II only</h3>

===============================================

Work Shown:

Part I

\displaystyle \lim_{x \to 2}\frac{x-2}{x+2} = \frac{2-2}{2+2}\\\\\\\displaystyle \lim_{x \to 2}\frac{x-2}{x+2} = \frac{0}{4}\\\\\\\displaystyle \lim_{x \to 2}\frac{x-2}{x+2} = 0\\\\\\

----------

Part II

\displaystyle \lim_{x \to 0}\frac{\sin(x)}{x+2} = \frac{\sin(0)}{0+2}\\\\\\\displaystyle \lim_{x \to 0}\frac{\sin(x)}{x+2} = \frac{0}{2}\\\\\\\displaystyle \lim_{x \to 0}\frac{\sin(x)}{x+2} = 0\\\\\\

----------

Part III

\displaystyle \lim_{x \to 5}\frac{x}{x} = \lim_{x \to 5}1\\\\\\\displaystyle \lim_{x \to 5}\frac{x}{x} = 1\\\\\\

7 0
2 years ago
Assume that blood pressure readings are normally distributed with a mean of 124 and a standard deviation of 6.4. If 64 people ar
Murrr4er [49]

Answer:

99.38%

Step-by-step explanation:

We have that the mean (m) is equal to 124, the standard deviation (sd) 6.4 and the sample size (n) = 64

They ask us for P (x <126)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / (sd / (n ^ 1/2))

We have all these values, replacing we have:

z = (126 - 124) / (6.4 / (64 ^ 1/2))

z = 2.5

With the normal distribution table (attached), we have that at that value, the probability is:

P (z <2.5) = 0.9938

The probability is 99.38%

4 0
2 years ago
Other questions:
  • Which is a factor of 21 <br> a6 <br> b5 <br> c4 <br> d3
    10·2 answers
  • Evaluate the expression - |7-9|
    6·1 answer
  • Identify the percent of change as an increase or a decrease. 16 centimeters to 44.2 centimeters.
    13·2 answers
  • What is the least common multiple of 6 cents,18 cents,24 cents
    13·2 answers
  • Two-thirds of a number is negative six. Find the number. a) -9 b) -8 c) -4
    9·1 answer
  • Can anyone help me out with questions 14 and 15? (i need explanations as well plz)
    8·1 answer
  • At the frozen yogurt shop, a machine fills cups with 4 ounces of frozen yogurt before adding the toppings. After the cups are fi
    7·1 answer
  • Find the solution to the following system using substitution or elimination:
    7·1 answer
  • Given the relation of points, (7,-1),(3,5),(0,-4),(-2,-2), which of the following sets represents the RANGE of the relation? Cho
    13·1 answer
  • Write the equation given the following polynomial graph.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!