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Dmitrij [34]
3 years ago
10

Can anyone help me I don’t know how to do this

Mathematics
1 answer:
wolverine [178]3 years ago
8 0
Start with the vertex form of the equation of a quadratic. Fill in the numbers you know and solve for the one you don't know.
  y = a(x -h)² +k . . . . . . . . for some stretch factor "a" and vertex (h, k)

1. Vertex = (h, k) = (0, 0). Stretch factor can be found from the given point (x, y).
  8 = a(-2 -0)² +0
  8 = 4a . . . . . . . . simplify
  2 = a . . . . . . . . . divide by the coefficient of "a"
Your equation is y = 2x².

Note the above method for solving these problems. It repeats.


2. As above, substitute what's given and solve for what's not.
  3 = a(1 -2)² +0
  3 = a
Your equation is y = 3(x -2)²

3. Repeat
  -4 = a(-5 +3)² +0
  -4 = 4a
  -1 = a
Your equation is y = -(x +3)²

4. Are you seeing the pattern yet?
  0 = a(-1 -0)² +1
  0 = a +1
  -1 = a
Your equation is y = -x² +1

5 & 6. You know that if you want a zero (x-intercept) to be located at x=a, then a factor of the quadratic will be (x -a). Multiply the factors together to get your quadratic function.

5. y = (x -0)*(x -2) = x² -2x

6. y = (x +5)*(x -5) = x² -25 . . . . . . . . . . you should recognize this "special form", the factoring of the difference of squares
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A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 3 ​hours, while the outlet pipe can empty it
leva [86]

The time it will take to fill the vat if both pipes are left open is = 4.3 hours

<h3>Calculation of time taken to fill vat</h3>

The number of pipes a vat has = 2

The time it takes the inlet pipe to fill the vat = 3hrs

The time it takes the outlet pipe to empty the vat= 10hrs

Therefore, the time it will take to fill the vat if both pipes are left open is;

1/t = 1/3-1/10

1/t = 7/30

Make t the subject of formula,

t = 30/7

t= 4.3 hours

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5 0
2 years ago
What is 39+21g when g = -4
timurjin [86]

Answer:

-45

Step-by-step explanation:

When the -4 is plugged in, it needs to be multiplied and then added to 39. That equals -45.

8 0
3 years ago
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A _____ consists of two or more inequalities. At least one of these is nonlinear
serious [3.7K]

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3 0
3 years ago
A polygon has n sides. Two of its sides are right angle while the remaining each side is 144.find n​
deff fn [24]
Use the formula that states that the sum of the angles of an n-sided polygon is given by
S=(n−2)180
0
........(1)

Since we are given that the two angles are right angles and each of the remaining angles is 144
0
, therefore, the sum is:

S=90
0
+90
0
+(n−2)144
0
.........(2)

Therefore setting (2) equal to (1) we get

(n−2)180
0
=90
0
+90
0
+(n−2)144
0

⇒(n−2)180
0
−(n−2)144
0
=180
0

⇒(n−2)(180
0
−144
0
)=180
0

⇒(n−2)(36
0
)=180
0

⇒n−2=
36
180
​

⇒n−2=5
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Hence, the polygon has 7 sides.
4 0
3 years ago
What is the time that is 4 hours and 45 minutes after 4:25am
spayn [35]
4:25
60 mins in 1 hour
4 hours after 4:25=8:25
45 mins+8:25
45+25=70
70=60+10
60=1 hour
add 1 to 8
9
9:10 am is the answer
4 0
3 years ago
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