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vfiekz [6]
2 years ago
11

(Marking Brainliest) What is the vertex form of the equation?y = x^2 - 4x + 7​

Mathematics
1 answer:
AysviL [449]2 years ago
4 0

Step-by-step explanation:

y = x² - 4x + 7

the general vertex form is

y = m(x-h)² + k

to bring the part "x² -4x" to an expression of (ax + b)² we need to add 4, as "x² - 4x + 4" = (x - 2)².

and since we add 4 there, we need to subtract 4 overall again to keep the value of the expression the same :

y = x² - 4x + 4 + 7 - 4 = (x - 2)² + 7 - 4 = (x - 2)² + 3

and so, that is the vertex form :

y = (x - 2)² + 3

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The sum of two numbers is 43 . The smaller number is 19 less than the larger number. What are the numbers?
Setler [38]
Let the smaller number be x and the larger number be y.
We can calculate this by using simultaneous equation, aka listing 2 equations out.
From given,
X + y = 43
Let this be equation no. 1
X + 19 = y
Let this number be equation 2.
We can do simultaneous equations either by substitute method or elimination. In this case I'm using substitute.
We can already obtain the value of y (in terms of x) in euqation no. 2, so all we gonna do is to put y into equation 1.
X + x + 19 = 43
Solve this by algebra.
2x = 43 - 19
X = 12
Now we know the exact value of x
Now substitute x = 12 into equation no. 2
12 + 19 = y
Y = 31
So the answer is 12 and 31
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2 years ago
The recipe says he needs 450 grams of rice for 6 people
Fynjy0 [20]

Answer:

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Step-by-step explanation:

450g : 6 people

x : 18 people

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2 years ago
The line that contains a slope of 1/2 and passes through the point (-2, -3) in standard form
mash [69]
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So any line parallel to it has slope = 1/2
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Step-by-step explanation:

4 0
2 years ago
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