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Ede4ka [16]
3 years ago
8

PLEASE HELP ME!!!

Mathematics
1 answer:
melisa1 [442]3 years ago
7 0

Answer:

1.2

Step-by-step explanation:

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Write an equation for the quadratic graphed below: x-intercepts: (-1,0) and (4,0); y-intercept: (0,1)
Luda [366]

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

6 0
2 years ago
The sum of two numbers is 22 and their difference is 12 what are the numbers
nlexa [21]

Answer:

The numbers are 17 and 5

Step-by-step explanation:

x + y = 22

x - y = 12

Add y to both sides of the equation

x = 12 + y

Substitute new value for x into first equation

12 + y + y = 22

Add the y's

12 + 2y = 22

Subtract 12 from both sides

2y = 10

y = 5

22 - 5 = 17

The numbers are 17 and 5

Hope this helps :)

8 0
3 years ago
Felix is now six times as old as Debbie. In twelve years time Felix will be two times as old as Debbie. How old are they​
Minchanka [31]

Step-by-step explanation:

let debbie be x years

let felix be 6x years

in 12 years felix will be 2x older than debbie

do the calc

6 0
3 years ago
HELP PLS Simplify an expression (2x-2x^4)-(2x+2x^4)
Naily [24]
2x-2x∧4-2x-2x∧4
-4x∧4
5 0
3 years ago
Find the probability that you throw a dart and land in the region labeled G.
Alexandra [31]
1. Check the picture attached. We can calculate the area of the orange region G by dividing it into right triangles with both legs equal to 1.

Area of one triangle is 1/2*1*1=1/2 units square. 
There are 9 in total, so area G = 9/2 units square.

2. The square has side length equal to 10, so the square area is 100 units square.

3. P(landing in G)=Area of G/total area= (9/2)/100=9/200= 0.045
 

4 0
3 years ago
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