Write each parabola in the form y−k=a(x−h)^2 and determine its vertex: y=−4x^2+16x−19

Answer:

y = -3x - 5

Step-by-step explanation:

The equation of a line is given as either:

[tex]y = mx + b[/tex]  where m is the slope, and b is the y-intercept.

or

[tex]y-y_{1} = m(x-x_{1} )[/tex]  where given that you have a point (x, y), y₁ is the y-value of the point, m is the slope, and x₁ is the x-value of the point.

We can just plug in the point (0, -5) into the second equation and -3 for the slope.

However, (0, -5) tells us that this point must be a y-intercept, since the x-value of that point is 0. So, we can also just plug into the first equation -5 for the y-intercept and -3 for the slope.

So, we get:

y = -3x + (-5)

Which simplifies into:

y = -3x - 5

Answer:

i dont know

Step-by-step explanation:

Answer:

y=-x+5

Step-by-step explanation:

(4,1)

(8,-3)

1)a slope of a line is (y2-y1)/(x2-x1)

  so (-3-1)/(8-4)

  -4/4=>m=-1

2)to find y-int replace any points in the equation by x and y

so    1=-1(4)+b

        1=-4+b

        1+4=b

so b= 5

therefore the equation is  y=-x+5   so d

Answer:

The Slope of Line 1 is ->  [tex]-\frac{2}{9}[/tex]

The Slope of Line 2 is -> [tex]-\frac{9}{2}[/tex]

These two lines are - >  Perpendicular

Step-by-step explanation:

To find the slope of line one, you follow these steps:

First Coordinate 10 -> x1, 5 -> y1

Second Coordinate -8 -> x2, 9 -> y2

Then insert the assigned values into this equation:  [tex]\frac{y2-y1}{x2-x1}[/tex] -> [tex]\frac{9-5}{-8-10}[/tex] which equals [tex]\frac{4}{-18}[/tex] which simplifies to [tex]-\frac{2}{9}[/tex]

Then do the same process to find the slop of line 2:

First Coord: 2 -> x1, -4 -> y1

Second Coord: 11 -> x2, -6 -> y2

Then insert the values into this equation: [tex]\frac{y2-y1}{x2-x1}[/tex]  ->[tex]\frac{11-2}{-6-(-4)}[/tex] which equals [tex]\frac{9}{-2}[/tex].

We know the lines are perpendicular by:

a. Typing the equations of the lines into a graphing calculator and observing the graph

b. Looking at the slopes. By looking at the slopes, we see that the slope of line 1 is the reciprocal of line 2, and vice versa. Since reciprocal slopes indicate perpendicular lines, the lines 1 and 2 are perpendicular to each other.

Hope this helps!

Answer:

The answer is A

Step-by-step explanation:

Answer:

12.9

Step-by-step explanation:

tan⁡θ=opp/adj

tan 24° = x/29

x = 29 tan 24°

x = 12.9

Answer:

$3 for the small drinks and $4 for the large popcorn

Step-by-step explanation:

so we know that 2 popcorns and 4 small drinks give us $20 and 2 popcorns and 2 drinks gives us 14. so $6 was taken away because of two drinks and 6÷2 equals 3 therefore $3 is how much a small drink costs. after taking away another 6 from 14 because we found the costs of drinks we get $8 for two popcorns and 8÷2 is 4 so a large popcorn costs $4

Answer:

The large popcorn bucket cost $4 and the small drink cost $3.

Step-by-step explanation:

Answer:

x is 2

Step-by-step explanation:

Answer:

X=85°....

Step-by-step explanation:

you do this by first acknowledging that in any triangle 180° will be present... so 40 + 45° equals 85°..this means that the other angle in the triangle will equal 95 degrees... now, in a line there's 180° present... that means 180 minus the 95 from the angle of c equals 85.

Answer:

$1,030

Step-by-step explanation:

Step 1- Multiply One way tickets by How much the tickets cost:

35 x 14= 490

Step 2- Multiply Round trip tickets by how much the tickets cost:

20 x 27= 540

Step 3- Add both sums together:

490 + 540= 1,030

Therefore, the answer is $1,030

Answer:

just looking for free point..

Step-by-step explanation:

Answer:

If i did this right the answer would be f(2)=g(2)

both numbers are 2 and the numbers are (x) so x=2

Step-by-step explanation:

Hope this helps Kas <33

Answer:

a)  t₁ = 2,947

b)  t₁ = 2,131

c)  t₁ = 1,753

d) t₁ = 2,947   -t₁ = -2,947  

e) t₁ = 2,131    -t₁  = -2, 131

Step-by-step explanation:

a) t₁ para el área a la derecha de 0,01  

En la tabla t- student  el t correspondiente a 0,01  es:

t₁ = 2,947

b) t₁ para el área a la izquierda sea de 0,95. Es igual al t para el cual el área de la drecha es  0,05

t₁ = 2,131

c) t₁ para que el área de la derecha sea 0,10

t₁ = 1,753

d) Buscar t₁ para el cual las áreas de derecha de (t₁) más la de la izquierda  de (- t₁ ) sea  0,01.

Si el área es de 0,01 quere decir que la mitad, es decir 0,005 es el área para una cola, luego

t₁ = 2,947  y -t₁ = -2,947

e) Para que el área entre - t₁ y t₁ sea 0,95

t₁ = 2,131  y  -t₁  = -2, 131

Answer:

80 labels

Step-by-step explanation:

The number of packages are 16 envelopes and 20 envelopes

We solve using LCM Method

We find the Multiples of 16 and 20

Multiples of 16:

16, 32, 48, 64, 80, 96, 112

Multiples of 20:

20, 40, 60, 80, 100, 120

Therefore,

LCM(16, 20) = 80

The least number of labels and envelopes you can buy so that there is one label on each envelope with none left over = 80 labels

Answer:

80 labels

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Not sure, i'm sorry

should be the same logic as

a=b

b=c

a=c

Answer:

25%

Step-by-step explanation:

(56/224)*100

Answer:

25%

Step-by-step explanation:

56 pages of 224 pages

56/224

= 1/4

1/4 = 0.25

1/4 & 0.25 = 25%

Answer:

-9/x-1

The top one.

Answer:

1.782

Step-by-step explanation:

8.91 ÷ 5= 1.782

Answer: 1.782

Step-by-step explanation:

Divide  8.91  by  5

1.782

Answer:

question 10 is B

Step-by-step explanation:

Answer:

5c-5=45

Step-by-step explanation:

Since he didn't have the dessert you have to take away the five and the total was 45 which means something has to equal it.

Answer:

Step-by-step explanation:

1. yes

2. no - it's a quadratic equation

3. yes

Answer:

Tell whether the following equations represent a linear function.

1. 15x + 3y = 9-- linear equation✓

2. −x^2 + 9y = 21-- quadratic equation

3. 6x + 1/4y = 3-- linear equation✓

Answer:

f(2) = g(2)

General Formulas and Concepts:

Alg I

Step-by-step explanation:

We see from the graph that f(x) and g(x) intersect at x = 2. Therefore, the point at x = 2 would be equivalent in both graphs/be a solution to both equations.

Therefore, f(2) must equal g(2), as they intersect each other at that point and have the same value of 0.

Answer: A f(2) = g(2)

Step-by-step explanation: look at the picture

Answer:

D

Step-by-step explanation:

If you use a calculator and try each you will see that d is correct 3/2+1=2.5 3 is your x from the table and keep doing that with all and see if its true which it is

Answer:

about 37 times

Answer:

1

Step-by-step explanation:

All numbers to the power of 0 are 1.

PLS GIVE BRAINLIEST

Answer:

192.5

Step-by-step explanation:

multiply 55 and 3.5