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densk [106]
3 years ago
7

Write the quadratic function f(x) = 3x2 - 6x + 9 in vertex form.

Mathematics
2 answers:
Y_Kistochka [10]3 years ago
7 0
The answer is y=3(x-1)^2+6
Anni [7]3 years ago
5 0

Answer:

f(x) = 3(x - 1)2 + 6

Step-by-step explanation:

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Endpoint 1: (-1,2)<br> Midpoint: (9,-6)<br> Endpoint 2=
Vlad [161]

Answer:

(19 , -14)

Step-by-step explanation:

Find the distance in between each x & y for a coordinate.

Let: (x₁ , y₁) = (-1 , 2)

Let: (x₂ , y₂) = (9 , -6)

From x₁ ⇒ x₂: 9 - (-1) = 10

From y₁ ⇒ y₂: -6 - 2 = -8 = 8*

*Remember that distance cannot be negative, but for the sake of this question, we will leave it as -8.

The distance between the x points are in intervals of 10. The distance between the y points are in intervals of 8. Add 10 & subtract 8 to their respective numbers to get endpoint 2:

(9 (+ 10) , -6 (- 8)) = (19 , -14)

Endpoint 2 = (19 , -14)

~

7 0
3 years ago
Solve the equation. <br><br><br> 12=2+z/-6
Bogdan [553]

Answer:

\boxed{\bold{z=-60}}

Step-by-step explanation:

Switch Sides

\bold{2+\frac{z}{-6}=12}

Subtract 2 From Both Sides

\bold{2+\frac{z}{-6}-2=12-2}

Simplify

\bold{\frac{z}{-6}=10}

Multiply Both Sides By -6

\bold{\frac{z\left(-6\right)}{-6}=10\left(-6\right)}

Simplify

\bold{z=-60}

3 0
3 years ago
Read 2 more answers
Ricky has 3/4 of a bag of Skittles. He wants to split the rest between between his 5 friends. What fraction of the bag will each
Wittaler [7]

Answer:

  • 3/20, with the assumptions below.

Explanation:

The question seems incomplete.

In order to show you the procedure, I make some assumptions.

Assuming that Ricky wants to split the full content of the 3/4 of a bag between his 5 friends, to find what fraction of the bag will each friend receive you must divide 3/4 by 5.

The operation is:

        \dfrac{3}{4}\div 5

Convert the whole number 5 into fraction using 1 as denominator:

       \dfrac{3}{4}\div \dfrac{5}{1}

Transform the division into multiplication changing the divisor into its reciprocal:

       \dfrac{3}{4}\times \dfrac{1}{5}

Multiply numerator with numerator and denominator with denominator:

       \dfrac{3\times 1}{4\times 5}=\dfrac{3}{20}\leftarrow answer

7 0
3 years ago
A city is growing at the rate of 0.3% annually. If there were 3,278,000 residents in the city in 2015, find how many (to the nea
ss7ja [257]
The formula is
A=pe^rt
A ?
P 3,278,000
E constant, it equals 2.7
R 0.003
T 2,021−2,015=6 years

A=3,278,000×e^(0.003×6)
A=3,337,538
3 0
3 years ago
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What is the measure of the angle of elevation from point L to point J? 37° 45° 53° 137°
aleksley [76]

Answer:

It's C) 53

Step-by-step explanation:


3 0
3 years ago
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