What are the values of the constants in the vertex form of the quadratic equation that models the bird's path? h = k = a =

Answer:

[tex]\frac{1}{3(x-2)}[/tex]

Step-by-step explanation:

Hi there!

We need to multiply the fractions:

[tex]\frac{x+3}{12x}[/tex]×[tex]\frac{4x}{x^{2}+x-6}[/tex]

Before we multiply, we can cancel out and factor the polynomials to make multiplying easier

First, we can factor x²+x-6

1 (in front of +x) is the sum of two numbers and -6 is the product of those numbers

Those numbers are -2 and 3

so when we factor, we get:

(x-2)(x+3)

here are the fractions so far:

[tex]\frac{x+3}{12x}[/tex]×[tex]\frac{4x}{(x+3)(x-2)}[/tex]

we can cancel out x+3 on both fractions

[tex]\frac{1}{12x}[/tex]×[tex]\frac{4x}{x-2}[/tex]

we can also cancel out 4x from both fractions

[tex]\frac{1}{3}[/tex]×[tex]\frac{1}{x-2}[/tex]

now multiply the fractions together

[tex]\frac{1}{3(x-2)}[/tex]

So the first option is your answer

Hope this helps! :)

Answer:

d = 67.5

e = 22.5

Step-by-step explanation:

d + e = 90

d = 3e

Therefore, we can simply divide 90 by 4, which gives us 22.5, and also tells us what e equals. Then, multiply that by 3 to get d.

Hope that this helps!

Answer:

It's [tex]3x^4+22x^3+31x^2-6[/tex]

Step-by-step explanation:

Area is L times width

LW=H

and the length is [tex]3x^2+4x-1[/tex] times the width [tex]x^2+6x+3[/tex]

basically you multiply yhem togetheer and combine like terms and voila

The answer is 3x^4 + 24x^2 - 6

explanation:

A = l × w

= (3x^2+4x-2)(x^2+6x+3)

=(3x × x) + (4x×6x) + (-2×3)

= 3x^2 + 24x^2 - 6

Answer:

x=10

Step-by-step explanation:

To solve for x, you need to draw an imaginary line connecting the right end of side x to the left side with length 15. This forms a triangle with side lengths 6 and 8, and hypotenuse x. Using the Pythagorean Theorem to solve for x, we get 6^2 + 8^2 = x^2, 36 + 64 = 100, [tex]\sqrt{100}[/tex] = 10.

Answer:

It's 10

Step-by-step explanation:

C^2=A^2+B^2blank

C=√(A^2+B^2)

If c is x and a and b are the side lengths the we can use Pythagoras's theorem to calculate the length of the line. A=6 B=8 and in the end when you calculate all that doohickey stuff you get x=10

Answer:

1-2i

Step-by-step explanation:

Divide: 5 + 2i by 3 + 4i.

Given data

5 + 2i by 3 + 4i.

We have the expression as

(5 + 2i)/(3 + 4i)

Rationalize the denominator

(5 + 2i)/(3 + 4i)* (3 -4i)/(3 -4i)

=(5*3-20i+6i-8i^2)/9-12i-12i+16i^2

=15-14i+8/9-16

=7-14i/-7

=1-2i

Answer:

A=4cm

ok to do this we do the formula

A=PiR^2

A=3.14*4^2

A=3.14*16

A=50.24

and the area of circle B is 4 times the area of a so

50.24*4=200.96

200.96=3.14*X^2

Since  r  is on the right side of the equation, switch the sides so it is on the left side of the equation. 3.14 ⋅ r 2 = 200.96  Divide each term by  3.14  and simplify.

r 2 = 64

r=8

CIRLCE A=50.24

CIRLCE B=8

Answer:

cone a is the correct answer

the third choice is the cirrect answer.

the cone with a 4.5 cm height and a 8cm diameter

hope this helps :)

Answer:

30 dólares es la ganancia neta.

Step-by-step explanation:

En la primera transacción, el hombre está perdiendo 50 dólares:

1. -50 dólares

En la segunda transacción, el hombre gana 70 dólares:

2. -50 + 70 = +20 dólares

En la tercera transacción pierde 80 dólares:

3. 20 - 80 dólares = -60 dólares

Y en la última transacción, la ganancia es de 90 dólares. Así, la ganancia neta es:

4. -60 dólares + 90 dólares =

Both equations represent straight lines

The first line has slope of 2 and y-intercept at -3

The second line gas slope of 2 and y-interceot at +3

you may now try to plot these two lines on the paper

Answer: B: 1/8

Step-by-step explanation: the formula for volume of a cube is a^3, so I 1/2^3 = 1/8

your answer is B: 1/8

Answer:

254.47

Step-by-step explanation:

Formula is pi r^2

the radius is 9 which is half of the diameter

pi 9^2

Answer:

(x - 4)(x - 2)

Step-by-step explanation:

x² - 6x + 8

x² - 2x - 4x + 8

x(x - 2) - 4(x - 2)

(x - 4)(x - 2)

Step-by-step explanation:

(x-4)(x-2)=0

x2-2x-4x+8=0

x2-6x+8=0

Answer:

5. [tex]\frac{-19}{1}[/tex], [tex]\frac{27}{1}[/tex], [tex]\frac{71}{1}[/tex], [tex]\frac{-101}{1}[/tex]

6. [tex]\frac{1000}{99999}[/tex]

7. [tex]\frac{7}{4}, 0[/tex]    [tex]\frac{-5}{7} ,\frac{-12}{5}, \frac{-13}{9}, \frac{-18}{7} ,\frac{-95}{116}, \frac{-1}{9}[/tex]

8. (ii) [tex]\frac{9}{8}[/tex]

9. (iv) [tex]\frac{-115}{-197}[/tex]

10. (i) true, (ii) true, (iii) false

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

Answer:

Step-by-step explanation:

First function:  even, because both exponents are even; graph is symmetric about the x-axis

Second function:  mixture of even and odd exponents:  not even

Third function:  This is the square root of x - 2; not even

Fourth function:  |x| is even; graph is symmetric about the x-axis

Answer:

89.43

Step-by-step explanation:

a = 670 * (1 * .25)^7

a = 670 * (.75)^7

a = 89.43

Answer:

[tex]Base\ Area = 93ft^2[/tex]

Step-by-step explanation:

Given

[tex]Volume = 279ft^3[/tex]

[tex]Height =3ft[/tex]

Required

The base area

Volume is calculated as:

[tex]Volume = Base\ Area * Height[/tex]

This gives:

[tex]279= Base\ Area * 3[/tex]

Make Base Area the subject

[tex]Base\ Area = \frac{279}{3}[/tex]

[tex]Base\ Area = 93ft^2[/tex]

Answer:

A. It increased both her intensity and her workout time.

Step-by-step explanation:

A. It increased both her intensity and her workout time.

B. It decreased her intensity but increased her workout time.

C. It increased her intensity but decreased her workout time.

D. It decreased both her intensity and work out time

Last week = 4 miles per day

This week = 5 miles per day

Intensity refers to how hard one exercises.

Workout time refers to how long one exercises the body.

By adding a mile, she has increased how hard she exercises her body (intensity))

And also increased how long she exercises the body (workout time) because the time she spent on 5 miles per day is more than time spent on 4 miles per day

Answer:

You get paid $9 per hour

Step-by-step explanation:

Answer:

the cone is not a prism, as it is not a cylinder. the star prism(lookimg like thing) is. alsp it is circular so it cannot be a prism(like the cylinder)

Answer:

for number one it is 6

for number two it is 48

Step-by-step explanation:

please mark brainliest

Answer:

Step-by-step explanation:

1. 3 · 2 (First power) = 3 · 2 = 6

2. 3 · 2 (Fourth power) = 3 · 16 = 48

Answer:

6.50

Step-by-step explanation:

Answer:

6.50

Step-by-step explanation:

the 7 one is too high to make sense and the rest are to low to make sense its a multiple choice question so it probably one mark for correct answer

Answer:

D - x=y/12

Step-by-step explanation:

So lets just take one set of data from the table.

This is all we need.

So I am just going to set our values to:

x = 21

y = 252

Now lets plug this into each equation, ands ee if it is accurate or not:

21=12+252

=

21=264

Thats not right! Lets try the next one:

21 = 252/12

=

21 = 21

Thats correct! Lets just try the other ones anyway:

21 = 252 - 12

=

21=240

Thats not right! Lets try the last one:

21 = 12*252

=

21 = 52,424

That is most definatly not right!

So the answer is B, x=y/12

Hope this helps!

Answer:

Step-by-step explanation:

there are 18 dogs

Answer:

14

Step-by-step explanation:

So the ratio of dogs (2) to cats (5) is 2:5

How did we go from 5 to 35?

Multiply by 7

So multiply 2 with 7 which is 14

So there are 14 dogs

Hope this helps!

Answer: 59

Step-by-step explanation:

Answer:

x = 33

Step-by-step explanation:

b^2 = c^2− a^2 = 652 − 562 = 4225 − 3136 = 1089 =33^2

Answer: is

59

Step-by-step explanation:

pls give brainly

Answer:

b = 5

Step-by-step explanation:

You want to get b on one side alone so you divide by 4.

20 divided by 4 is 5.

Answer:

b = 5

Step-by-step explanation:

4b = 20

Whatever we do to one side of the equation, we have to do to the other.

To "isolate the variable", or get "b" by itself, we have to divide both sides by 4

4b divided by 4 is b, since "4b = 4 times b"

20 divided by 4 is 5

4b = 20

b = 5

Answer:6

Step-by-step explanation:

Which graph represents the function f(x) = 5x + 3?

6

5

A++

4

34

2

1

o

-6 -5 -4 -3 -2 -14

1

2

3

4

5

х

2

3

The graph of the linear equation can be seen below.

Here we have the linear function:

y = 5x + 3

To graph this, we need to find two points on the equation and then connect them with a line.

By evaluating in 0 we get:

y = 5*0 + 3 = 3

So the point (0, 3) is on the line.

By evaluating on 1 we get:

y = 5*1 + 3 = 8

So we have the point (1, 8).

Now we just plot them and connect them with a line, the graph is the one below.

If you want to learn more about linear equations:

https://brainly.com/question/1884491

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