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
FinnZ [79.3K]
3 years ago
12

What is the factorizaion of the polynomial graphed below? assuming it has no constant factor.​

Mathematics
1 answer:
Oxana [17]3 years ago
5 0

Answer:

y = 0.96(x -√5)(x + √5).

Step-by-step explanation:

The two zeros of this polynomial are (0, 0) and (5, 0), and the vertex is (2.5, -6), all of this info readily available from the graph.

The standard equation of a vertical parabola with vertex at (h, k) is

y - k = a(x - h)^2, where the vertex is represented by (h, k).  Since we know that the vertex is (2.5, -6), the equation for the given graphed parabola is

y + 6 = a(x - 2.5)^2

Since the graph of this parabola goes through the origin, (0, 0), the following must be true if we substitute 0 for both x and y:

0 + 6 = a(0 - 2.5)^2, or 6 = a(6.25).  Thus, a = 6/6.25, or a = 0.96.

The equation of this polynomial must then be:

y + 6 = 0.96(x - 2.5)^2, which is satisfied by both (0, 0) and (5, 0).

This equation can be rewritten as

y = 0.96(x^2 - 5x + 6.25) - 6 = 0.96x^2 - 4.8x + 6 - 6, or just

y = 0.96x^2 - 4.8x.  We must factor this.  Factoring out 0.96, we get:

y = 0.96(x^2 - 5), which can be factored further:  

y = 0.96(x -√5)(x + √5).  This is the fully factored form of the polynomial.

You might be interested in
When plotting sample statistics on a control chart, 99.7% of the sample statistic values are expected to fall within plus/minus
Blababa [14]

Answer:

By the Empirical Rule, \pm 3\sigma

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

The symbol of a standard deviation is \sigma. So

When plotting sample statistics on a control chart, 99.7% of the sample statistic values are expected to fall within plus/minus how many sigma?

By the Empirical Rule, \pm 3\sigma

5 0
3 years ago
PLEASE ITS DO TOMORROW
inysia [295]
Here you go :) !!!!!!!!

8 0
3 years ago
Solve this problem. What is x?<br><br> x ÷ 7 = 6<br><br> x =
Marat540 [252]
So another way to look at is 7x6=__ and so when you do this you get 42. Hope this is helpful.
6 0
3 years ago
2) In 1000 sq. meter of land a farmer cultivated 765 kg of rice with the wastage of 23.5%. I) Find the weight of the wastage. II
LiRa [457]

Answer:

Weight of wastage=179.775kg

weight of rice cultivated= 585.225 kg

percentage of rice cultivated=76.5%

Step-by-step explanation:

Area of land=100 square meters

Cultivated rice=765kg

Wastage=23.5%

1) Weight of the wastage=23.5% of 765kg

=23.5/100 × 765

=17977.5 / 100

=179.775 kg

2) Weight and percentage of rice cultivated.

weight of rice cultivated = 765 kg - 179. 775 kg

= 585.225 kg

percentage of rice cultivated = 100 - 23.5

= 76.5%

3) if area is increased 40 times in size

New area=1000 square meters × 40

=40,000 square meters

Cultivated rice= 765kg × 40

=30,600 kg

Cultivated rice excluding wastage=585.225 kg × 40

=23,409 kg

8 0
3 years ago
94b + 48 &lt; b + 54 &lt; 94b + 82
Softa [21]

DATES: The rule amendments will become effective October 29, 1999. Section IV of this release contains information on compliance dates.
3 0
3 years ago
Other questions:
  • The temperature at any random location in a kiln used for manufacturing bricks is normally distributed with a mean of 1000°f and
    13·1 answer
  • If f(x)=3x^2-2 and g(x)=4x+2 what is the value of f+g 2
    5·1 answer
  • The total temperature change over 3 days in gritty city was -6 celsuis What was the average temperature change each day?
    9·2 answers
  • 3³ - (4)(2) find da value or die mwaha
    10·1 answer
  • Please I truly need help I’m not that good with math
    9·1 answer
  • Step 1: -3(+ 2) = 5(x - 7)
    15·1 answer
  • What is 36 divided by 1/4 <br> PLS AWNSER ASAP
    9·2 answers
  • The radius of a sphere is increasing at a rate of 3 mm/s. How fast is the volume increasing when the diameter is 60 mm
    8·1 answer
  • Lines d, e, and f are parallel. That means they have the same slope. Each of these lines has a slope of −3. Enter numbers to com
    14·1 answer
  • ALGEBRA Find mZA in ABC if mZB = 38º and mZC = 38º.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!