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
Marina CMI [18]
2 years ago
11

8. The graph of f(x) = 2x² - 5x is shown. Amanda

Mathematics
1 answer:
snow_lady [41]2 years ago
5 0

Answer: Amanda is not correct

The vertex is at (1.25, -3.125)

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

Reason:

The x intercepts are 0 and 2.5

This is where the graph crosses the x axis. If we plugged in either x = 0 or x = 2.5, then we'd get f(x) = 0.

Find the midpoint of those values mentioned. Add them up, and divide by 2 to get the midpoint to be (0+2.5)/2 = 1.25

This is the x coordinate of the vertex.

Then plug that into the function to find the corresponding y coordinate of the vertex.

f(x) = 2x^2 - 5x

f(1.25) = 2(1.25)^2 - 5(1.25)

f(1.25) = -3.125

The vertex is located at (1.25, -3.125)

Amanda's x coordinate is correct, but the y coordinate isn't. Though her y coordinate isn't too far off.

I think I can see why she went with y = -3 since the lowest part of the graph is around this area. However, the lowest part of the parabola dips a tiny bit below y = -3. This is why it's better to use the equation rather than solely rely on the graph alone.

You might be interested in
The table below shows the number of marbles of different colors in a bag: Color of Marbles Number of Marbles Pink 5 Blue 2 Green
Airida [17]
\frac{3}{10} x \frac{2}{9} = \frac{1}{15}
6 0
3 years ago
Read 2 more answers
In an experiment examining the effects Tai Chi on arthritis pain, Callahan (2010) selected a large sample of individuals with do
Volgvan

Answer:

a) Participants in Tai Chi course

b) Nominal

c) Magnitude of arthritis pain

d) Ordinal

Step-by-step explanation:

TYPES OF VARIABLES:

  • Independent Variable:

An independent variable is the one controlled or changed in an experiment to test the effects on the dependent variable. If this variable is changed, there shall be effects on the experiment.

In this case, number of participants in the course was independent.

  • Dependent Variable:

Dependent variable is the one being tested and measured. If the independent variable changes, this variable will show the effect of the changes.

<em>The variables can be determined by their cause and effect on the experiment.</em>

TYPES OF SCALES:

<em>There are two variations in types of scales; Quantitative and Qualitative.</em>

<em>Qualitative variables are measured by either nominal or ordinal scale, while quantitative variables are measured by ratio or interval.</em>

  • Nominal scale:

Nominal scales assign identifiers as labels to objects or classes of objects. The  assigned numbers carry no additional meaning except as identifiers for example: patient A, patient B etc.  

  • Ordinal scale:

Ordinal scales assign numbers to objects to rank  an attribute. For example: Level of pain 1 - 10, Level of satisfaction etc.

  • Interval:

In an interval scale, numbers are  assigned to objects such that the interval helps in interpretation of the variables. For example: age of patients: 30 - 40, 40 - 50 etc.

  • Ratio:

Ratio scales includes an absolute “zero” point. For example, Rate of arthritis in patients of a particular age etc.

4 0
3 years ago
APQR is inscribed in a circle with P=60, Q = 80, and R = 40. What are the measures of PQ, QR, and PR?
Sergeeva-Olga [200]

Answer:

PQ:80

QR:160

PR:120

Step-by-step explanation:

PQ=2x∠R

=2×40

=80

QR=2×m∠p

=20×80

=160

PR=2×m∠Q

=2×60\\

=120

<em>hope it helps </em>

<em>have a great day!!</em>

5 0
3 years ago
PLZZ HELP ME 20 POINTS AND BRAINLIEST!
omeli [17]

Answer:

The price of price of the stock after it has been owned for 12 weeks is $92.55

Step-by-step explanation:

Given: The price of a particular stock is represented by the linear equation

y = -0.91x + 103.47

where x represents the number of weeks the stock has been owned and y represents the price of the stock, in dollars.

We have to find the price of price of the stock after it has been owned for 12 weeks.

Since , x represents the number of weeks the stock has been owned.

Thus, by substitute, x = 12

We get the value of y , the price of stocks.

Thus, y(x) =  -0.91x + 103.47

⇒ y(12) =  -0.91(12) + 103.47

⇒ y(12) =  -10.92 + 103.47

Solving , we get,

⇒ y(12) = 92.55

Thus, the price of price of the stock after it has been owned for 12 weeks is $92.55.

8 0
3 years ago
Read 2 more answers
the ratio of cats to dogs at an animal shelter is 5:2. currently there is 63 cats and dogs are up for adoption. how many cats ar
vesna_86 [32]

Answer:

45 cats 18 dogs

Step-by-step explanation:

63/7 = 9

9*5=45

9*2=18

45+18=63

4 0
3 years ago
Other questions:
  • At 3:25 p.m., two trains left Kalamazoo, Michigan. One train traveled westward at a constant rate of 82 miles per hour, while th
    9·1 answer
  • Bob has a standard deck of playing cards. If he randomly draws a J, K, 2, and 2, what is the probability that the next card he d
    15·2 answers
  • Can some explain me how to find the answers
    12·2 answers
  • Write an equation for the line below​
    13·1 answer
  • What is 93•10•10•10•10•10•10•10
    12·2 answers
  • It’s not 3 but still need help with it
    11·2 answers
  • If LMN=XYZ, which congruences are true by CPCTC? Check all that apply
    12·2 answers
  • Look at pic......................................
    6·1 answer
  • Please answer thanksss
    5·1 answer
  • A 25-pound bag of fertilizer is on sale for $40. What is the price per ounce of the fertilizer?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!