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Semenov [28]
4 years ago
14

Write an equation of a quadratic function with a

Mathematics
1 answer:
Volgvan4 years ago
8 0

Answer:

y = x² - 8x + 18

Step-by-step explanation:

The minimum value occurs at the vertex, thus the y- coordinate of the vertex is 2

The axis of symmetry is vertical and passes through the vertex , thus the x- coordinate of the vertex is 4

The vertex of the quadratic is therefore (4, 2 )

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier.

let a = 1, then

y = (x - 4)² + 2 ← expand (x - 4)² using FOIL

  = x² - 8x + 16 + 2

y = x² - 8x + 18 ← is a possible equation

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Prev
Svetlanka [38]

Answer:

C) 24

Step-by-step explanation:

we know that 18 students is 75% of the class and we need to know 100% of the class. to calculate this, divide the 18 students by 75% to work out what 1% of the students equals:

18 ÷ 75 = 0.24

0.24 students = 1% of the class. multiply this number by 100 to calculate 100% of the class:

0.24 x 100 = 24

∴ there are 24 students in Ms. Perron's class

I hope this was helpful :-)

6 0
4 years ago
Read 2 more answers
How do I find the answer to 4+3j=43
melamori03 [73]
4+3j=43
-4 from both sides
3j=39
then divide both sides by 3 to isolate j
j=12
8 0
3 years ago
The weight y of an object on Mars is proportional to the weight x of the object on Earth. An object that weighs 70 pounds on Ear
Zarrin [17]
70/28 = x/250
this however is not an equation it is a proportion so you would not be able to solve using systems of equations but you could use cross multiplication to solve this problem as well
4 0
4 years ago
Plz help.......................
True [87]
Let's use the slope intercept form of a line which is:

y=mx+b where m=slope and b=y-intercept.

Mathematically m=(y2-y1)/(x2-x1) and the y-intercept is just the value of y when x is equal to zero, where the line intercepts the y axis...

First you want to find the slope by finding two clearly identifiable points on the graph...I'll pick (4,4) and (0,1), now we can calculate the slope or "m"...

m=(4-1)/(4-0)=3/4 so now we can say our line is:

y=0.75x+b, using point (4,4) we can now solve for b.

4=0.75(4)+b

4=3+b

b=1 so the line is"

y=0.75x+1
4 0
4 years ago
I don’t comprehend this
MaRussiya [10]
B correct the error
8 0
4 years ago
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