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SOVA2 [1]
3 years ago
15

write the equation for the quadratic function that has the vertex at (1,3) and passes through the point (0,5)

Mathematics
1 answer:
Kisachek [45]3 years ago
4 0
For this quadratic, its vertex form f(x) = a(x-h)^2+k is f(x) = a(x-1)^2+3.

To find the value of a, plug in (0,5) and solve. 

5 = a(0-1)^2+3 \\ a = 2

The final equation in vertex form is f(x) = 2(x-1)^2+3.

In standard form f(x) = ax^2+bx+c, the function is f(x) = 2x^2-4x+5.
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If f(x)x+12 and g( x)-2x, what is the value of (f -g)(144)?
serg [7]
First, we want to subtract function f minus function g to get a new function:

(f-g)(x)= x+12 - (-2x)
(f-g)(x)= x+12+2x
(f-g)(x)= 3x+12

Now, we want to plug in 144 for x:

<span>(f-g)(144)=(3)(144)+12
</span>(f-g)(144)=432 +12
<span>(f-g)(144)=444
</span>
Therefore, the answer is 444
7 0
3 years ago
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Jlenok [28]
12:4=3
9:3=3
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4 0
3 years ago
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Comparing Relationships with Tables1. Decide whether each table could represent a proportional relationship.If the relationship
yan [13]

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx

where

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Verify each table

table a

Let

x ----> distance

y ----> sound level

For each ordered pair calculate the value of k

k=y/x

so

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table b

let

x ----> volume

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k=y/x

(16,1.49) ----> k=1.49/16=0.093125

(20,1.59) ----> k=1.59/20=0.0795

the values of k are differents

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the table nor represent a proportional relationship

6 0
2 years ago
A triangle has side lengths 7, 17, and x. Fill in the inequality for the possible
vitfil [10]

Answer:

9  < x  < 25

Step-by-step explanation:

4 0
2 years ago
PLEASE HELP AND PLEASE BE RIGHT THANK U XX
skelet666 [1.2K]
180 - 142 = 38
w = 180 - (38+49)
w = 93

180 - (93 + 42) = 45

y = 180 - 131 = 49

t = 180 - (45 + 49)
t = 86
8 0
3 years ago
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