"A parabola has the equation y=3x^2+ 6x- 12 . What are the coordinates of the vertex? (You must solve by factoring)!!!!!" I NEED THE ANSWER TO THIS FAST WITH STEPS I'm a grade 10 academic student by the way

Answers

Answer 1

y = 3x ^ 2 + 6x- 12  

(a=3; b=6; c= -12)

• Ta có Δ=b^2 -4ac

             = 6^2 -4*3*( -12)

             =180

• X= (-b+√Δ)/2a

              ≈ 3.2

• X= (-b-√Δ)/2a

 ≈ -3.2

Khi đó: y= 948/25

       Và: y= -12/25

Vậy : A(3.2: 948/25)

       B(-3.2; -12/25)

Step-by-step explanat bion :


Related Questions

A man walks at the rate of 88 paces to the minute if the average length of his paces is 0.875m, find the time take to walk 2.31km.

Answers

Answer:

30 minutes

Step-by-step explanation:

Walk rate = 88 paces/ minute

Average length of pace = 0.875 m

Time taken to walk 2.31 km ;

The distance in metres :

1000 m = 1 km

2.31 km = (1000 * 2.31) = 2310 m

Recall :

Time taken = distance / speed

Distance walked in a minute = 88 * 0.875 = 77 m

Time taken = 2310 / 77

Time taken = 30 minutes

EVALUATE: 10x – 2y3 (if x = 5 and y = 2)​

Answers

Answer:

10*(5) - 2*(2)^3

= 50 - 2*8

= 50 - 16

=34

Answer:

Step-by-step explanation:

với x=5 và y=2

phương trinh trở th a

10*  5 - 2 * 2^ 3

=50 -  2*8

=50 - 16

=34

4 of 204 of 20 Questions




Question 4
What is the equation of the line that is parallel to y−5=−13(x+2) and passes through the point (6,−1)?

Answers

Answer:

y= -13x+77

Step-by-step explanation:

Parallel lines do not share any points but have the same slope.

First, put the equation y-5=-13(x+2) into slope-intercept form.

y= -13x-21

Slope= -13x

Y-Intercept= (0,-21)

Now that we know the slope...

y-(-1)=-13(x-6)

becomes

y+1=-13x+78

y-1=-13x+78-1

y=-13x+77

A phone company charges each customer a monthly fee of $11.25. In addition, it charges $0.03 per minute for in-state calls and $0.11 per minute for out-of-state calls. What is the total monthly charge for a customer who made 340 minutes of in-state calls and 84 minutes of out-of-state calls?

Answers

340 x 0.03 = 10.2 (in state)

84 x 0.11 = 9.24 (out of state)

10.2 + 9.24 + 11.25

= $30.69 monthly charge

hope it helps :)

The total monthly charge for a customer is given as $30.69.

What is simplification?

Simplifying allows us to test each process and strategy to determine which is the most efficient and best suited for its specific goal.

here,

A phone provider costs each customer $11.25 per month. Furthermore, it charges $0.03 per minute for in-state calls and $0.11 for out-of-state calls.

Charge within the boundary  of state for 340 minutes = 340 x 0.03 = 10.2

Charge beyond the boundary  of state for 84 minutes  = 84 x 0.11 = 9.24

Total monthly charge = 10.2 + 9.24 + 11.25

                                = $30.69 monthly charge

Thus, A customer's total monthly price is shown as $30.69.

Learn more about simplification here:

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When x + y = 30 and x < 13, which of the following must be true?
y = 30
y > 17
y = 17
y < 17
y > 30

Answers

Answer:

y>17

Step-by-step explanation:

[tex]x + y = 30 \\ 13 + y = 30 \\ y = 17 \\ for \: x < 13 \\ y > 17[/tex]

Answer:

y>17

Step-by-step explanation:

x+y=30

x<13

What + 13 is 30?

17. So if x+y=30. Because x will be less than 13, y must make up the differnce by being greater than 17.

Ex: x=12

y+12=30

y=18

18 is greater than 17.

This is a great way to check because if your not sure, it elimates the other options!

Hope this helps!

See photo/ will give 10 points.

Answers

Answer:

B) Multiply by 3/2 on both sides of the equation by the multiplication property of equality

Problems 5-9, Find the value of the variable to the nearest tenth of each triangle.

Answers

Answer:

35

Step-by-step explanation:

answer please it's urgent​

Answers

Answer:

HOPE IT HELP YOU . Plz tell me if it is write or wrong .

WILL GIVE BRAINLIEST
How many integers n between 1 and 100 inclusive are there, such that n^2 + n is divisible by 99

Answers

Answer:

It is 121

Step-by-step explanation:

Geometry homework I need help pls pls pls

Answers

Answer:

vertex of 4 is 2

Step-by-step explanation:

cuh cuh uchuch uch uch uch

When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown?

Answers

Answer:

The Polynominal is not shown. So how can i answer???

Step-by-step explanation:

Thank You! Hope it helps! Please Mark me brainliest!

Let f(x)=1/2|x−2|. Write a function g whose graph is a translation 7 units to the left of the graph of f.

Answers

Answer:

g(x) = -2(x - 6) - 7

Step-by-step explanation:

Sorry if I'm wrong

Which function can be used to find r, the total amount the teacher pays in dollars when
z scissors are ordered?

A teacher is ordering scissors for her classroom.

• the teacher pays a one-time fee of $8.

• the teacher also pays $2 for each pair of scissors ordered.

Answers

r = 2z + 8
To find the total, 2 times the number of scissors plus 8 for delivery

HELPPPPP ASAP!!!! Thx!! and NOOO FILESSSS!!

Answers

Answer:

[tex]x=32[/tex]°

Step-by-step explanation:

The law of sines is a property of all triangles that relates the sides and angles of a triangle. This property states the following:

[tex]\frac{sin(a)}{A}=\frac{sin(b)}{B}=\frac{sin(c)}{C}[/tex]

Where side (A) is the side opposite angle (<a), side (B) is the side opposite angle (<b), and side (C) is the property opposite angle (<c).

Substitute each of the sides and respective angles into the formula, and solve for the unknown angle (<x). Please note that a triangle with two congruent sides (referred to as an isosceles triangle) has a property called the base angles theorem. This states that the angles opposite the congruent sides in an isosceles triangle are congruent. Therefore, there can be two (<x)'s in this triangle.

[tex]\frac{sin(a)}{A}=\frac{sin(b)}{B}=\frac{sin(c)}{C}[/tex]

[tex]\frac{sin(x)}{10}=\frac{sin(116)}{17}=\frac{sin(x)}{10}[/tex]

One can shorten the equation so it only holds the parts that will play a role in solving this equation,

[tex]\frac{sin(x)}{10}=\frac{sin(116)}{17}[/tex]

Now take the cross product in this equation to simplify it further,

[tex]\frac{sin(x)}{10}=\frac{sin(116)}{17}[/tex]

[tex]17(sin(x))=10(sin(116))[/tex]

Inverse operations, solve this equation for (x),

[tex]17(sin(x))=10(sin(116))[/tex]

[tex]sin(x)=\frac{10(sin(116))}{17}[/tex]

[tex]x=sin^-^1(\frac{10(sin(116))}{17})[/tex]

[tex]x=31.91782...[/tex]

[tex]x\approx32[/tex]

Answer:

hello,

Step-by-step explanation:

the triangle is isocele,

x+x+116=180

x=(180-116)/2

x= 32° (thirty-two , trente-deux in french)

Hey guys ♡
hw r u all doin
pls solve this question for me ⤵️

(m-1)/2 - (m-2)/3 = ( m - 4 )/7 ​

Answers

Answer:

m = - 31

Step-by-step explanation:

Given

[tex]\frac{m-1}{2}[/tex] - [tex]\frac{m-2}{3}[/tex] = [tex]\frac{m-4}{7}[/tex]

Multiply through by 42 , the LCM of 2, 3 and 7 , to clear the fractions

21(m - 1) - 14(m - 2) = 6(m - 4) ← distribute parenthesis

21m - 21 - 14m + 28 = 6m - 24

7m + 7 = 6m - 24 ( subtract 6m from both sides )

m + 7 = - 24 ( subtract 7 from both sides )

m = - 31

La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6, la probabilidad de que apruebe un estudiante B es 0.4 y la probabilidad de que ambos estudiantes aprueben es 0.3. ¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?

Answers

Answer:

0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.

Step-by-step explanation:

La probabilidad condicional :

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

En el cual:

P(B|A) es la probabilidad de que ocurra el evento B, dado que A sucedió.  

[tex]P(A \cap B)[/tex] es la probabilidad de que ocurran tanto A como B.  

P(A) es la probabilidad de que ocurra A.

En esta pregunta :

Evento A: Estudiante A aprueba.

Evento B: Estudiante B aprueba.

La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6

Entonces [tex]P(A) = 0.6[/tex]

La probabilidad de que ambos estudiantes aprueben es 0.3

Entonces [tex]P(A \cap B) = 0.3[/tex]

¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3}{0.6} = 0.5[/tex]

0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.

Which linear inequality is represented by the graph?

Answers

Answer:

D

Step-by-step explanation:

The correct answer is D

Answer:

D

Step-by-step explanation:

y<2/3 x-1 is the answer

Use the function below to find F(-4).
F(x) = 2^x

Answers

Answer:

Step-by-step explanation:

F(x)=2^x

[tex]F(-2)=2^{-2} =\frac{1}{2^2} =\frac{1}{4}[/tex]

So it’s pretty much how the other person did it, except you substitute -4 for x. That will give you 2^-4 which is 1/(2^4)= 1/16

What is the quadratic regression equation that fits these data?
Number of seconds Helght (In feet)
0
12
1
14
2
15
3
14
4
10
5
6
O A. y=-1.94x2 + 0.62x+ 9.62
B. y = -3.69x2 + 2.08x+8.07
O C. y = 15.68(0.88)
O D. y=-0.89x2 + 3.24x+11.93
SUBMIT

Answers

Answer:

Step-by-step explanation:

The answer is D. Use the Stat and then Edit button on your TI calculator to edit the values in L1 and L2 tables. In L1 enter 0, 1, 2, 3, 4, 5 and then arrow over and enter the y values into L2 the same way. Enter the number 12, then hit enter; enter the number 14, hit enter; enter the number 15 and then hit enter, etc. Do the same for the values that are going into L1.

When that is done, hit the Stat button again and arrow down to QuadReg and hit enter. Depending upon your calculator, you may have to arrow down to "calculate" or the calculator may display the equation immediately after hitting QuadReg. Again, it all depends upon your calculator.

The required correct quadratic regression equation that fits the given data is y = -0.89x² + 3.24x+11.93. Option D is correct.

What is the equation?

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
To find the quadratic regression equation, we need to use a calculator or software that can perform a quadratic regression analysis. Using such a tool, we obtain the following equation:

y = -0.89x² + 3.24x+11.93

This equation fits the data points (0, 12), (1, 14), (2, 15), (3, 14), (4, 10), and (5, 6) with a high degree of accuracy.

The equation is in the form of a quadratic function, which has a parabolic shape when graphed. The coefficient of the x² term (-0.89) indicates that the parabola is downward-facing, while the other coefficients determine the exact shape and position of the parabola.

Option A is incorrect because its equation does not fit the data points accurately. Option B is also incorrect because it is not a quadratic equation, and option C is incorrect because its equation also does not fit the data points accurately.

Learn more about equations here:

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if the area is 1 then what is the side length of a square?

Answers

the side length of the square is also 1.

Answer:

1

Step-by-step explanation:

Since we are taking the area of a square, you can take the square root of its area to find the side lengths.

√1 = 1

How to solve this plsssss

Answers

Answer:

Hope this helps you

Answered by G a u t h m a t h

please help asap, see attached photo!!

Answers

Answer :

Log (12) / Log (2)

Round ur answer :

3.584

CAN SOMEONE HELP PLEASE

Answers

Answer:

72

The result is rational because it can be written as the ratio of two integers and its decimal expansion can terminate or repeat.

Answered by GAUTHMATH

4[30-(10-2)x3] what is the answer?

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{4[30-(10-2)\times3]}}[/tex]

[tex]\huge\boxed{\rightarrow\mathsf{4[30 - (\bold{8}}) \times3]}[/tex]

[tex]\huge\boxed{\rightarrow \mathsf{4[30 - \bf 24]}}[/tex]

[tex]\huge\boxed{\rightarrow \mathsf{4(30) + 4(-24)}}[/tex]

[tex]\huge\boxed{\rightarrow \mathsf{\bf 120 - 96}}}[/tex]

[tex]\huge\boxed{\rightarrow\mathsf{\bf 24}}[/tex]

[tex]\huge\boxed{\rm{Answer: \mathsf{24}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

24

Step-by-step explanation:

4[30 - (10 - 2)*3] = 4[30 - 8*3] =4[30 - 24] = 4*6 = 24

Who can do 20 assignments in math for me rn needs to b finish in 5 hours?

Answers

u need to finish 4 assignments in 1 hour

In the diagram, what is the measure of angle 1 to the nearest degree?

33 degrees
55 degrees
75 degrees
105 degrees

Answers

Answer:

75 degrees

Step-by-step explanation:

From the first part of the diagram,

vertically opposite angles are equal,

hence we have

125° + (4x-5)° + 125° + (4x-5)° = 360°

(Angles about a point equals 360°)

4x – 5 + 4x – 5 + 125 + 125 = 360

8x + 250 – 10 = 360

8x = 360–250 + 10

8x = 120

x = 15°

Now we have (5x)° in the second part.

5x = 5 × 15 = 75°

1 is vertically opposite to angle 75°

hence it is equal to 75 degrees.

Answer:75

Step-by-step explanation:

Please help I don’t understand math

Answers

Answer:

x = 12

Step-by-step explanation:

The sum of the two smaller angles is 140

80+5x = 140

Subtract 80 from each side

80+5x-80 =140-80

5x = 60

Divide each side by 5

5x/5 = 60/5

x = 12

Simplify the complex number √-16+8.

Answers

Answer:

[tex]\sqrt{-16} +8[/tex]

[tex]=4i+8[/tex]

OAmalOHopeO

Find X
Round to the nearest tenth

Answers

Answer:

x=437.3 ft

Step-by-step explanation:

cos(29)=B/H, cos(29)=x/500. x=437.3 ft

Emma earns a $39,000 salary in the first year of her career. Each year, she gets a 5% raise. How much does Emma earn in total in the first 11 years of her career?

Answers

Answer:

554,000

Step-by-step explanation:

that is the answer

Emma earns $554,064.80  in total in the first 11 years of her career

We are to determine the future value of $39,000 each year for 11 years given the growth rate of 5%

The formula for calculating future value:

FV = P (1 + r)^n

Where :

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

First year =  $39,000

Second year = 39,000 x (1.05) = $40,950

Third year = 39,000 x (1.05)^2 = $42,997.50

Fourth year = 39,000 x (1.05)^3 = $45,147.38

Fifth year = 39,000 x (1.05)^4 = $47,404.75

Sixth year = 39,000 x (1.05)^5 = $49,774.99

seventh year = 39,000 x (1.05)^6 = $52,263.74

eighth year = 39,000 x (1.05)^7 = $54,876.93

ninth year = 39,000 x (1.05)^8 = $57,620.78

tenth year = 39,000 x (1.05)^9 = $60,501.82

eleventh year = 39,000 x (1.05)^10 = $63,526.91

Sum of the earnings for the first eleven years = $554,064.80

To learn more about the future value of income, please check : https://brainly.com/question/19407218?referrer=searchResults

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