Identify the vertex of the parabola


Options:

A. (-1,0)

B. (0,-1)

C. (0,1)

D. (1,0)

Answer:

Step-by-step explanation:

10 yards by 15 yards

Step-by-step explanation:

Let the dimensions of each plot x yards by y yards.

If three plots are placed as the y-yards side are common to them then,  

The total perimeter will be (6x + 4y) = P = 120 yards {Given} ........... (1)

⇒ 3x + 2y = 60 ........... (2)

Now, the total area of the three plots will be 3xy = A = 450 sq, yards {Given} .......... (3)

Now, solving equations (2) and (4) we get,

⇒ 225 + y² = 30y

⇒ y² - 30y + 225 = 0

⇒ (y - 15)² = 0

⇒ y = 15 yards.

Hence, from equation (4) we get,

x = 150/15 = 10 yards.

Therefore, the dimensions of each plot are 10 yards by 15 yards.

Answer:

Step-by-step explanation:

A

The simulation design could Carlos use to estimate the probability is option D.

Option D is the correct answer.

We have,

In this simulation design:

Carlos assigns specific numbers on the random digits from 1 to 6 to represent different types of songs.

He assigns the numbers 1, 2, and 3 to represent classical songs.

The numbers 4, 5, and 6 represent country songs.

The numbers 7, 8, 9, and 0 represent pop songs.

By generating random digits and observing their values,

Carlos can simulate the random shuffle of his music player.

He would then track and count instances where three consecutive numbers are all in the range of 4, 5, and 6.

These instances would correspond to the occurrence of three consecutive country songs.

Thus,

By running this simulation for a sufficient number of trials, Carlos can estimate the probability of the next three songs being all country songs based on the relative frequency of such occurrences.

Learn more about simulations here:

https://brainly.com/question/1667033

#SPJ2

9514 1404 393

Answer:

  a) k = -19

  b) P(x) = (5x +1)(3x -1)(2x -1)

  c) x = {-1/5, 1/3, 1/2}

  d) see attached

  e) no; P(-1) = -48

  f) see attached

Step-by-step explanation:

a) The second attachment shows synthetic division of P(x) by the factor (x -1/3). The remainder is 0 when the final expression is zero:

  1 + (10 +k)/9 = 0

  (10 +k)/9 = -1 . . . . . subtract 1

  10 +k = -9 . . . . . . . .multiply by 9

  k = -19 . . . . . . . . . . subtract 10

For (3x -1) to be a factor, the value of k is -19.

__

b) The graph (see part C) shows the zeros of the function to be -0.2, 0.333..., and 0.5. This means the linear factors are ...

  P(x) = (5x +1)(3x -1)(2x -1)

The linear factors can also be obtained by finishing the factoring of ...

  P(x) = (3x -1)(10x^2 -3x -1)

The quadratic factor is the synthetic division result, divided by 3. It can be factored by grouping: 10x^2 -3x -1 = (10x^2 -5x) +(2x -1) = 5x(2x -1) +1(2x -1).

So P(x) = (3x -1)(5x +1)(2x -1).

__

c) The graph shows the zeros to be x ∈ {-1/5, 1/3, 1/2}.

__

d) See the attachment for a graph

__

e) The point (-1, -40) is not on the graph. Evaluating P(-1) gives -48. The point that would be on the graph for x=-1 is (-1, -48).

__

f) See the attachment.

The inequality that can be used to determine the maximum budget that can be spent on outfits is 72.82x + 494.69 < 540.

The first step is to determine the total cost of the items bought.

Cost of the bicycle = $446.60.

Cost of the 3 bicycle reflectors = $4.09 x 3 = $12.27

Cost of the bike gloves = $35.82

Total cost = $494.69

The amount left that can be spent on the new biking outfits = $540 - $494.69 = $45.31

The amount of money left is not sufficient to buy the new biking outfits.

To learn more about inequality, please check: https://brainly.com/question/5031619

Answer:

smaller answer x=-9

larger answer x=1

Step-by-step explanation:

[tex]x^{2}[/tex]+8x+14=23

[tex]x^{2}[/tex]+8x-9=0

D=64+36=100

[tex]x_{1} =\frac{-8+10}{2} =1[/tex]

[tex]x_{2} =\frac{-8-10}{2} =-9[/tex]

so, smaller answer x=-9

larger answer x=1

Answer:

x = - 9, x = 1

Step-by-step explanation:

Given

x² + 8x + 14 = 23 ( subtract 23 from both sides )

x² + 8x - 9 = 0 ← in standard form

(x + 9)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 9 = 0 ⇒ x = - 9 ← smaller answer

x - 1 = 0 ⇒ x = 1 ← larger answer

Answer:

Step-by-step explanation:

Answer: Choice C: none of the above

Step-by-step explanation:

The distance between two numbers would be |(number 1) - (number 2)|

--------------------------------------------------------------

Given

Number 1=-3.9

Number 2=-4.7

 |(number 1) - (number 2)|

=|(-3.9) - (-4.7)|

=|-3.9+4.7|

The choice is not available.

Therefore, it is none of the above.

Hope this helps!! :)

Please let me know if you have any questions

Answer:

23x - 8

Step-by-step explanation:

The simplified form of the expression 3(7x) – 2(4 - x) is: 23x-8.

Here, we have,

given that,

the expression is:

3(7x) – 2(4 - x)

now we have to simplify this expression.

so, we have,

3(7x) – 2(4 - x)

= 21x - 8 + 2x

adding the like terms we get,

=> 23x - 8

Hence, The simplified form of the expression 3(7x) – 2(4 - x) is: 23x-8.

To learn more on Expression click:

brainly.com/question/14083225

#SPJ2

Answer: y = -8x - 1

Step-by-step explanation: 2 x (-4) is -8. Therefore you get y = -8x - 1

(please mark as brainliest) :D

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

[tex]\large\textsf{If x = -4 then SUBSTITUTE it in the equation, where x is at}[/tex]

[tex]\large\textsf{y = 2(-4) - 1}[/tex]

[tex]\large\textsf{2(-4) = \bf -8}[/tex]

[tex]\large\textsf{-8 - 1}[/tex]

[tex]\large\textsf{= \bf -9}[/tex]

[tex]\boxed{\boxed{\large\textsf{Therefore, your ANSWER is: \huge \bf y = -9}}}\huge\checkmark[/tex]

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

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

Step-by-step explanation:

Line is passing through the point A (-3, 5) and the point B (0, -16)

a) Slope (m) = (-16 - 5)/(0+3) = - 21/3 = - 7

b) y - intercept (b) = - 16

c) Equation of line

y = mx + b

y = - 7x + (-16)

y = - 7x - 16

Answer:

Step-by-step explanation:

Create and solve an equation of ratios:

5      x

--- = ----

4      8

Cross multiplying yields 4x = 40, or x = 10

Answer:

m = -1/11

Step-by-step explanation:

m = rise/run = (y2-y1)/(x2-x1)

Answer:

$563.50

Step-by-step explanation:

The computation of the amount that should be paid to Carole last week is shown below

Since she worked 40 regular hours and 6 overtime hours

For regular hours, the wage rate is $11.50

And, for overtime it would be

= $11.50  + $11.50 ÷ 2

= $11.50 + $5.75

= $17.25

So, the amount that should be paid is

= 40 × $11.50 + 6 × $17.25

=  $460  + $103.50

= $563.50

Answer: n=8

Step-by-step explanation: add 2 each time for y

Answer:

Answer = 22

Step-by-step explanation:

Linear Function is 2x-6, therefore f(14)=2*14-6=22

So 2*8-6=10

2*9-6=12

2*11-6=16

Answer:

36

Step-by-step explanation:

4×(3)²

4×9

36

Answer:

no

Step-by-step explanation:

To determine if x = 7 is a solution.

Substitute x = 7 into the equation and if left side equals right side then it is a solution

3(7) - 4 = 21 - 4 = 17 ≠ 15

Then x = 7 is not a solution to the equation

No, x = 7 is not the solution of Equation 3x - 4 = 15

An Equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that an Equation 3x - 4 = 15

Solving x = 7 we get,

3*7 - 4 = 21 - 4 = 17

17 ≠ 15

Hence, x = 7 is not a solution of the given Equation.

For more references on Equation, click;

https://brainly.com/question/10413253

#SPJ2

Answer:

y+25=120

y = 120-25

so y= 95

Answer:

y=95 is the required answer of your question

hope it is helpful to you

Answer:

1620 I think. I'm not rlly sure but this seems,like the correct answer from my calculations.

Answer:

its 165 square feet

Step-by-step explanation:

i got the same question and that was the answer (:

Answer:

-28.5

-5

-11.8

-4.5

Step-by-step explanation:

From that data provided for Monday

Temperature at noon = temperature at midnight + the change in temperature

-32 + 20 = -12

Temperature on Tuesday's noon = -17.5 + (-11) = -28.5

Temperature on Friday's noon = -21.8 + 17.3 = -4.5

From that data provided for Monday

Temperature at midnight = temperature at noon - change in temperature

-12 - 20 = -32

Temperature on Wednesday's midnight = 10.5 - 15.5 = -5

From that data provided for Monday,

change in temperature = temperature at noon - temperature at midnight

-32 - (-12) = 20

Change in temperature on Thursday = -24 - (-12.2) = -11.8

Answer:

19.8km recorre Marta

Step-by-step explanation:

Las horas que recorre Marta en la mañana de cada día son:

1.3 horas * (1.2km / h) = 1.56km en la mañana

Y en la Noche de cada día:

1.6 horas * (1.5km / h) = 2.4km en la noche

Esto significa que cada día recorren:

1.56km + 2.4km = 3.96km diarios.

De lunes a viernes (5 días) Marta recorre:

3.96km * 5 =

Answer:

A. Bar graph

Step-by-step explanation:

Since they are all different activities and don't relate you can put different bars to put the different activities and use the left to indicate the amount of students and grow the bar according to the amount of students in that activity; each bar stands for a different activity, the y-intercept is for the amount of students, the bar will grow 'up' according to the amount of students.

Answer:

(4,10)

Step-by-step explanation:

   8x - 5y = -18

+  2x + 5y = 58

10x = 40

Dive both sides by 10.

x = 4

2x + 5y = 58

2(4) + 5y = 58

8 + 5y = 58

5y = 50

y = 10

Answer:

138 feet

Step-by-step explanation:

plug "3" into the expression by replacing "t" with "3"

-16t^2+83t+33

-16(3)^2+83(3)+33 (remember PEMDAS)

=-16(9)+249+33

=-144+282

=138 (I hope this helps)

Answer:

100 units^2

Step-by-step explanation:

a^2+b^2=c^2

8^2+6^2=c^2

64+36=c^2

100=c^2 (area of square)

10=c (length of hypotenuse)

Therefore, the area of the square is 100 units^2

Answer:

Hello!

1 on the left in vertical and 1 on the right is adjacent hope that helps.

Answer:

dum bot answerd

Step-by-step explanation:

Step-by-step explanation:

It seems here that they are asking us to solve for x

to do this we first need to factor

Since we can't factor this using the normal method we can instead do this

x^2 -4x-17=0

add 4 to both sides as it is a perfect square

x^2 - 4x + 4  = 17 +4

(x-2)^2 = sqrt 21

x-2 = ±  4.58

x -2 = 4.58    x-2 = -4.58

x= 6.58          x=-2.58

Or just say x=2+√21 or x=2−√21