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ikadub [295]
2 years ago
6

Write the quadratic function in the form f (x) = a (x - h)2 +k.

Mathematics
1 answer:
Yakvenalex [24]2 years ago
6 0
The awnser would be f(x) = 2x2 -4x +4
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In a basketball game, a regular basket was worth 2 points and a long-distance basket was worth 3 points. If there were 45 basket
-BARSIC- [3]

Answer:

B. r + l = 45; 2r + 3l = 96

39 regular; 6 long-distance

Step-by-step explanation:

There were 45 baskets, so

(1) r + l = 45

There were 96 points in the game, so

(2) 2r + 3l = 96

Solve equation (1) for l

                    l = 45 – r     Substitute the value for l in Equation (2)

2r + 3(45 – r) = 96      Remove parentheses

 2r + 135 - 3r = 96      Combine like terms

         -r + 135 = 96      Subtract 135 from each side

                  -r = -39      Multiply each side by -1

                  r = 39      Substitute the value of r in Equation (1)

           39 + l = 45        Subtract 39 from each side

                   l = 6

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

Check:

(1) 39 + 6 = 45

         45 = 45

(2) 2×39 + 3×6 = 96

           78 + 18 = 96

                   96 = 96


4 0
3 years ago
15 arches decreased by 80%
morpeh [17]

If it decreases by 80٪, then only 20٪ remains.

15×20٪=15×20/100=15×0.2=3

Answer: 3

8 0
3 years ago
Read 2 more answers
NO LINKS!!
yan [13]

Answer:

y=-\dfrac{1}{2}(x+4)^2-1

Step-by-step explanation:

Vertex form:  y=a(x-h)^2+k  

where:

  • (h, k) is the vertex
  • a is some constant

Given:

  • vertex = (-4, -1)
  • point on parabola = (-2, -3)

Substitute given values into the formula to find a:

\implies -3=a((-2)-(-4))^2+(-1)

\implies -3=a(2)^2-1

\implies -3=4a-1

\implies -2=4a

\implies a=-\dfrac{2}{4}=-\dfrac{1}{2}

Therefore, the equation of the parabola is:

y=-\dfrac{1}{2}(x+4)^2-1

6 0
2 years ago
Read 2 more answers
What would x and y be in this equation 4x - 5y =7
vekshin1

x-intercept:  

(-7/4 , 0)

y-intercept:(0 , 7/5)

6 0
3 years ago
What is a point on a line and all points of the line to one side of it called?
ladessa [460]

Answer:

  you have described a "ray"

Step-by-step explanation:

A "ray" is a half-line: all the points on a line that are to one side of its terminal point. (The terminal point is included in the ray.)

3 0
3 years ago
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