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Mekhanik [1.2K]
3 years ago
11

Which function in vertex form is equivalent to f(x) = x2 + x +1?

Mathematics
2 answers:
ArbitrLikvidat [17]3 years ago
6 0

Answer: C

Step-by-step explanation:

2020edg

Alexxandr [17]3 years ago
3 0

Answer:

C

Step-by-step explanation:

Given

f(x) = x² + x + 1

To express in vertex form use the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² + x

x² + 2(\frac{1}{2})x + \frac{1}{4} - \frac{1}{4} + 1

= (x + \frac{1}{2})² + \frac{3}{4} → C

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(3,-3), slope 3 write an equation of the line that passes through the given point and has the given slope
tester [92]

Answer:

y = 3x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3, thus

y = 3x + c ← is the partial equation

To find c substitute (3, - 3) into the partial equation

- 3 = 9 + c ⇒ c = - 3 - 9 = - 12

y = 3x - 12 ← equation of line

4 0
4 years ago
Read 2 more answers
Solve the system of equations given . -2x+5y=-3
algol13

For this case we have the following system of equations:

-2x + 5y = -3\\y-15 = 3x

We multiply the second equation by -5:

-5y + 75 = -15x

Now we add the equations:

-2x-5y + 5y + 75 = -3-15x\\-2x + 75 = -3-15x\\-2x + 15x = -75-3\\13x = -78\\x = \frac {-78} {13}\\x = -6

We find the value of the variable "y":

y = 3x + 15\\y = 3 (-6) +15\\y = -18 + 15\\y = -3

THE solution is: (-6, -3)

Answer:

(-6, -3)

3 0
4 years ago
If the line above is translated 5 units up and 8 units left, what is the slope of the<br>new line?​
vazorg [7]
The slope is 5/-8

Since rise/run...

Rise = +5 and Run = -8
3 0
3 years ago
Which translation slides the shape without changing its orientation?
Levart [38]

Answer:

向きを変えずに形状をスライドさせますか?

Step-by-step explanation:

this translation will not change its orientation

8 0
3 years ago
Is 19.8 a rational or irrational
Llana [10]
It is rational................
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4 years ago
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