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
ozzi
3 years ago
14

Given the following values for a quadratic function, which is the graph of the function? (–1, 0), (0, 3), (1, 4), (2, 3), (3, 0)

Mathematics
1 answer:
Firdavs [7]3 years ago
3 0

Answer:

The function of the graph is f(x) = - x² + 2x + 3

Step-by-step explanation:

Using the value of the graph we can say that the the function is negative x² because there are x-intercepts and the y-intercept if above 0.

Using the x-intercepts we can form the function of the graph:

-(x + 1)(x - 3) - we have a negative in front of the two brackets because the function is a negative. Now we multiply out the brackets and the negative at the end:

-(x² - 2x - 3)

- x² + 2x + 3 - So the function of the graph is:

f(x) = - x² + 2x + 3

You might be interested in
What is the range of the function below:<br> Let a(x)=x+2 such that x is a positive integer.
liubo4ka [24]
So all positive integers is the domain (the number  you can use)

and the range (the numbers you get when you put the numbers in the domain in) is all positive integers more than 2
3 0
3 years ago
Read 2 more answers
180 euros to exchange rate 1.2 to the pound
BaLLatris [955]
Your answer is 138.61440

Hope this helps.
8 0
2 years ago
If Richard can paint their living room in 4 hours, and Vanessa can paint the same living room in 5 hours, then how long will it
Tju [1.3M]

Answer:

2 hrs 13 mins

Step-by-step explanation:

If Richard can paint the living room in 4 hrs, then in 1 hour he can paint 1/4 of the living .

If Vanessa can paint the living room in 5 hours, then in one hour, she can paint 1/5 of the living room.

In one hour Richard and Vanessa can paint 1/4 + 1/5 = 1/y

y is the number of hours it will take both Richard and Vanessa to paint the living room. 1/y is how much of the house they can paint in one hour.

1/4 + 1/5 = 1/y

(5 + 4)/20. ( find the LCM)

9/20 = 1/y

9y= 20

y = 20/9

y = 2.22hrs

y = 2 hrs 13 mins

4 0
3 years ago
The fifth grade has 152 students. Each student has 18 pencils. How many pencils do the students have altogether? ( and how did y
timurjin [86]
You're given that there's 152 students. Each student has 18 pencils. All you have to do is multiply 152 students x 18 pencils/student, to get 2,736 pencils.
4 0
3 years ago
What is the coefficient of x2y3 in the expansion of (2x + y)5?
Zigmanuir [339]

Option C:

The coefficient of x^{2} y^{3} is 40.

Solution:

Given expression:

(2 x+y)^{5}

Using binomial theorem:

(a+b)^{n}=\sum_{i=0}^{n}\left(\begin{array}{l}n \\i\end{array}\right) a^{(n-i)} b^{i}

Here a=2 x, b=y

Substitute in the binomial formula, we get

(2x+y)^5=\sum_{i=0}^{5}\left(\begin{array}{l}5 \\i\end{array}\right)(2 x)^{(5-i)} y^{i}

Now to expand the summation, substitute i = 0, 1, 2, 3, 4 and 5.

$=\frac{5 !}{0 !(5-0) !}(2 x)^{5} y^{0}+\frac{5 !}{1 !(5-1) !}(2 x)^{4} y^{1}+\frac{5 !}{2 !(5-2) !}(2 x)^{3} y^{2}+\frac{5 !}{3 !(5-3) !}(2 x)^{2} y^{3}

                                                            $+\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}+\frac{5 !}{5 !(5-5) !}(2 x)^{0} y^{5}

Let us solve the term one by one.

$\frac{5 !}{0 !(5-0) !}(2 x)^{5} y^{0}=32 x^{5}

$\frac{5 !}{1 !(5-1) !}(2 x)^{4} y^{1} = 80 x^{4} y

$\frac{5 !}{2 !(5-2) !}(2 x)^{3} y^{2}= 80 x^{3} y^{2}

$\frac{5 !}{3 !(5-3) !}(2 x)^{2} y^{3}= 40 x^{2} y^{3}

$\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}= 10 x y^{4}

$\frac{5 !}{5 !(5-5) !}(2 x)^{0} y^{5}=y^{5}

Substitute these into the above expansion.

(2x+y)^5=32 x^{5}+80 x^{4} y+80 x^{3} y^{2}+40 x^{2} y^{3}+10 x y^{4}+y^{5}

The coefficient of x^{2} y^{3} is 40.

Option C is the correct answer.

5 0
2 years ago
Other questions:
  • Can anybody help me please?
    12·2 answers
  • If a linear system has no solution what happens when you try to solve the system by adding or subtracting
    13·1 answer
  • A local animal feed company makes its feed by the ton, which is 2000 pounds. They want to include a medication in the feed. Each
    12·1 answer
  • Fine the volume of the prism.
    6·1 answer
  • Can someone help with my math question
    8·1 answer
  • A company needs to package 2400 pencils. A box in the shape of a rectangular prism can hold 60 pencils. A cylindrical container
    12·2 answers
  • What is the range of the following data values?
    8·2 answers
  • What scale factor can you use to MULTIPLY 10<br> to get to 20?
    14·2 answers
  • What’s is 9 divided by 3/10
    7·1 answer
  • How many times larger is 4 × 1011 than 2 × 106?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!