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
DochEvi [55]
2 years ago
14

Write an equation for the quadratic graphed below: x-intercepts: (-1,0) and (4,0); y-intercept: (0,1)

Mathematics
1 answer:
Luda [366]2 years ago
6 0

Answer:

y = (1/4)x² - (5/4)x + 1

Step-by-step explanation:

The x-intercepts of the quadratic equation are simply it's roots.

Thus, we have;

(x + 1) = 0 and (x - 4) = 0

Now, formula for quadratic equation is;

y = ax² + bx + c

Where c is the y intercept.

At y-intercept: (0,1), we have;

At (-1,0), thus;

0 = a(1²) + b(1) + 1

a + b = -1 - - - (1)

At (4,0), thus;

0 = a(4²) + b(4) + 1

16a + 4b = -1

Divide both sides by 4 to get;

4a + b = -1/4 - - - (2)

From eq 1, b = -1 - a

Thus;

4a + (-1 - a) = -1/4

4a - 1 - a = -1/4

3a - 1 = -1/4

3a = 1 - 1/4

3a = 3/4

a = 1/4

b = -1 - 1/4

b = -5/4

Thus;

y = (1/4)x² - (5/4)x + 1

You might be interested in
Please tell me what the value of x would be (it has to be a fraction)
Kamila [148]
X=1/6? Not too sure though
4 0
3 years ago
Consider the two trinomials​
Brilliant_brown [7]

Answer:

Step-by-step explanation:

Add the trinomials it becomes a binomial 7x removes. Becomes 2x^4-7(2x^2-7)(x^2+1)

3 0
3 years ago
Please help !<br> I need the answers for #43 and #44
Vlad [161]

43. 9 + 10 + 13 + 13 = $45

45 - 1 = 44

44 x 4 = 176

176 + 8 = 184

184/4 = 46

46 tokens per person

44. a. 22 x 5 = 110

943/110 = 8.7

you will need 9 bookcases

b. 110 x 9 = 990

990 - 943 = 47

47 - 44 = 3

There will be 3 books on the third shelf.

4 0
3 years ago
A total of
Arte-miy333 [17]
Let x equal the number of adult tickets sold. 

X + 3X=512
(I put 3x because we know the students sold 3 times as many). 
Solve for X. 

X+3X=512
4X=512
4X/4=512/4
X=128
3 0
3 years ago
You are trying to heat up a cup of water with a butane lighter.
algol13

Answer:

Step-by-step explanation:

Remark

The formula for this is

Heat = m * c * Δt

Givens

Heat = unknown

m = 200 grams

c = 4.184 Joules / grams oC

Δt = the change in temperature = 35.7 - 22.3 = 13.4

Solution

Heat = 200 * 4.184 * 13.4

Heat = 11213 Joules

Heat = 11.2 Kj

It's hard to get the correct number of sig digs because the 200 is not qualified in any way.

Part 2.

This can really puzzle you until you know that heat given up = the heat taken on. The heat taken on was 11.2 Kj. The Butane lighter must have given that heat on.

Heat of Combustion = Heat Given Up / Number grams burned.

Heat of Combustion = 11.2 Kj / 0.23 grams

Heat of Combustion = 48.8 Kj / gram

8 0
2 years ago
Other questions:
  • Please help me with the problem
    13·1 answer
  • Please could someone help me?
    15·1 answer
  • How many solutions does this system have?<br> 3x+y=2<br> 4y=12-12x
    13·1 answer
  • Suppose y varies directly with x. if y=6 when x=2 find x when y=12
    10·2 answers
  • Write three numbers that round to 60,000 when rounded to the nearest ten thousand​
    7·2 answers
  • The exponent on variable z is _____
    12·1 answer
  • Triangle ABC is equilateral. Find the length of CD .
    7·2 answers
  • Which of the following could be the side lengths of a triangle?
    8·1 answer
  • Find the mean of the following<br> data set.<br> 1,1,2,4,6,7,7,8,9,10,12,13,17,17,18
    9·1 answer
  • I eed some help thx alotttt
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!