How do you solve y=3x²-6x-1 using completing the square?

Answer:

y = x + 2

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 )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (- 1, 2) ← 2 points on the line

m = [tex]\frac{2-1}{-1-(-2)}[/tex] = [tex]\frac{1}{-1+2}[/tex] = [tex]\frac{1}{1}[/tex] = 1

The line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = x + 2 ← equation of line

Answer:

3) parallel

4) y = -1/2x +5

Step-by-step explanation:

3) Two equations are parallel if they have the same slope

The equations are written in y=mx+b (standard) form, where m is the slope. Both equations have a slope of 5/4

4) The two points that are plotted are (0,5) and (4,3).

We can find the slope by using the slope equation

(3) - (5) / (4) - (0) = -2/4 = -1/2

then we can plug it in both points to find b

-1/2(4) = -2

-2 + b = 3

b = 3

Answer:

21

Step-by-step explanation:

trust (used a calculator)

Answer:

heptagon

Step-by-step explanation:

Answer:

wait.

Step-by-step explanation:

what do u really mean by zombies

Answer:

For first page I belive both of the answer are b. The second page I believe b and c

Step-by-step explanation:

Answer:

answers are a,b,a,d

Step-by-step explanation:

Step-by-step explanation:

all odd numbers

that should be the answer

Answer:

A-C

Step-by-step explanation:

Positive velocity means the graph is going up. Hope it helps!

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

The statement (A) Electrons can have a measured radius. and statement (D) Electrons do not have energy, the energy is determined by the orbit are correct.

In the Bohr atomic model, electrons are grouped according to their energy levels. The energy level at which an electron is located determines its energy.

As we know,

The aspects covered by Bohr’s atomic model are:

Energy is absorbed by electrons as they transition from a lower to a higher energy state. The electron emits energy when it transitions from a higher to a lower energy level. Visible light is one way to view this energy.

Thus, the statement (A) Electrons can have a measured radius. and statement (D) Electrons do not have energy, the energy is determined by the orbit are correct.

Learn more about Bohr's atomic model here:

https://brainly.com/question/16858921

#SPJ5

Answer: Electrons do not have energy, the energy is determined by the orbit." or A and b

Step-by-step explanation: The correct answer is, "Electrons do not have energy, the energy is determined by the orbit."

In the Bohr model of the atom, electrons are arranged in energy levels. The energy of an electron is determined by the energy level in which it is found.

When electron an the  electron moves from a lower to a higher energy level it absorbs energy. When the electron moves from a higher to a lower energy level, it radiates energy. This energy is observed in the form of visible light.

Thus, in the Bohr's model, electrons are arranged in energy levels. The energy level where an electron is found determines its energy.

Answer: 4 is 110 degrees  and 3 and 1 is 70 degrees.

Step-by-step explanation: 4 is equal to 2 so 4 is 110 degrees 4

110 x 2 = 220  360 - 220 = 140/2 = 70 so 3 and 1 = 70 degrees

Answer:

Well, the answer is n= -1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

[tex]k - 120 = 768[/tex]

add 120 to both sides of the equation

[tex]k - 120 + 120 = 768 + 120[/tex]

120 on the left hand side of the equation cancels therefore isolating the variable, k

[tex]k = 888[/tex]

Answer:

Step-by-step explanation:

Option A, is true about 73

As it is a prime number because it has only two distinct divisors: 1 and itself (73)

I'm pretty sure it's B because 737 isn't a prime number but 73 is a prime number

Step-by-step explanation:

6y=3y+6(congruent triangles)

6y-3y=6

3y = 6

y=2

ST =6(2) =12

TU = 3(2) + 6 =12

Answer:

5x2 + 5x -1

Step-by-step explanation:

jus multiply 3x to 2x because there to the same power. it becomes a postive and you leave the rest.

Answer:

the first answer is right

none of these i guess

Answer:

Slope-intercept form:

y = -7/9x - 8/3

The slope:

m = -7/9

Picture is of it graphed

Solving the quadratic function, it is found that the range is of:

between 200 and 250; inclusive

The profit for x tours is modeled by the following equation:

[tex]p(x) = -2x^2 + 900x - 40000[/tex]

It is concave down, so the monthly profit will be of at least $60,000 between the two roots when [tex]p(x) = 60000[/tex]. Thus:

[tex]60000 = -2x^2 + 900x - 40000[/tex]

[tex]2x^2 - 900x + 10000 = 0[/tex]

Simplifying by 2:

[tex]x^2 - 450x + 50000 = 0[/tex]

Which has [tex]a = 1, b = -450, c = 50000[/tex]

Then:

[tex]\Delta = (-450)^2 - 4(1)(50000) = 2500[/tex]

[tex]x_{1} = \frac{-(-450) + \sqrt{2500}}{2} = 250[/tex]

[tex]x_{2} = \frac{-(-450) - \sqrt{2500}}{2} = 200[/tex]  

At least $60,000 includes $60,000, thus the interval is inclusive, and the correct option is:

between 200 and 250; inclusive

A similar problem is given at https://brainly.com/question/25181401

Answer:

B) Graph of an Absolute Value Function

Step-by-step explanation:

A function is a relation in which no two ordered pairs have the same input and different outputs. Whenever you're trying to determine whether a given relation is a function, observe whether each input correspond with exactly one output.    

The given table in Option A) is not a function because there are two corresponding y-values for x = 3.

Option C is also not a function because the input value of x = -1 has two output (y-values): -11 and 5.

Option D is also not a function because the input value of 3 has two output values: -5 and 0.

Option B represents a function because each input value has exactly one corresponding output value.  A useful technique to use in determining whether a given graph represents a function is the Vertical Line Test.  If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.

Attached is an edited screenshot of Option B, where it shows that each blue vertical line has its own corresponding point.  This means that the each line crosses the graph at most once. Therefore, the correct answer is Option B.

Answer:

The graph

Step-by-step explanation:

I got it right on plato

Answer:

p = w - cg

Step-by-step explanation:

w = p + cg ( isolate p by subtracting cg from both sides )

w - cg = p

Answer:

[tex]\frac{44}{80}[/tex]

Step-by-step explanation:

We know that the shop only buys Banana with lengths between 13 cm and 20 cm.

So, the fraction of the 80 bananas is actually a ratio between the y-values of each length (13 and 20 cm) and the total 80. First, let's see which y-values belong to each length.

Notice that 13 below to 20 at Cumulative Frequency. And 20 belongs to 62. So, the pairs are (13,20) and (20,62).

[tex]\frac{62-20}{80} =\frac{42}{80}[/tex]

Therefore the shop only buys 42 bananas out of 80, because those are between 13 cm and 20 cm.

Answer:

44/80

Step-by-step explanation:

Answer:

- 1

Step-by-step explanation:

-3 (-3) -10

9 - 10 = -1

Answer:

Step-by-step explanation:

The km/minute is different for segment, so "The train does not always go . . ."

Tha average speed in km/minute of the 3 points is 3.2km/min. 10 minutes would be 32km.

===

Divide the cost by the number of people. It is $7/person in each case. The cost for each person appears to be the same. If Sam knew more math, he could charge each person $10 and end the evening $3/person richer. He would need at least 3 people to cover his own expense, and have $2 left for a tip to the attentive waitress who approved his strategy for profiting from his math skills.

Answer:

y = 13/3

Step-by-step explanation:

First input 10 as our x into the equation. So our new equation is 2(10) - 3y=7.

Once you simplify your equation would be 20 - 3y = 7. Subtract 20 from both sides. New equation is -3y = -13. Divide each side by -3. Your answer for y is 13/3.

Answer:

b) 1.383

d) 2733

f) 41.429

h) 6317

j) 87.889

Step-by-step explanation: