Find the vertex of f(x) = 3(x-7)(x+5)
Please show your work.

^^ I’ve been having a bit of trouble with this question :( although it’s simple quadratics is not my strong suit

Answer:

Domain(-infinity,+infinity)

Range=f(x) >or= - 34

Step-by-step explanation:

Domain for every parabola the domain is (-infinity, +infinity) unless there are any restrictions

Range we look at the y value of the maximum point or minimum points

We find it by finding the turning point

F'(x) =2x+6

0=2x+6

-6=2x

x=-3

F(-3)=(-3)^2+6(-3)-23

=-34

So all value that exist on the f(x) must be greater or =-34

9514 1404 393

Answer:

  y = 6^x -3

Step-by-step explanation:

The graph is that of an exponential function that has been translated downward. We notice the horizontal asymptote is -3, and a couple of points on the graph are (0, -2) and (1, 3).

The shifted parent function will look like ...

  y = a·b^x +c

where c is the horizontal asymptote. Using the two points we found, we have ...

  -2 = a·b^0 -3 . . . . . using (x, y) = (0, -2)

  1 = a . . . . . . . . . . add 3 and simplify

Then using (x, y) = (1, 3), we have ...

  3 = b^1 -3

  6 = b . . . . . . . . . add 3 and simplify

So, the equation is ...

  y = 6^x -3

Answer:

-1

Step-by-step explanation:

we match the input to the output to find that f(3) points towards -1

all even except 4th equation

Step-by-step explanation:

an even equation is the one who proves that f(-x) = f(x)

Answer:

Each jar contains 150 g.

Step-by-step explanation:

Florencia prepared a kilo 3/4 kg of dulce de leche and wants to divide it into equal portions in 5 jars How many kg of Dulce will she put in each jar How many grams are equivalent?

Amount prepared = 3/4 kg

Total number of jars = 5

The amount in each jar is given by

[tex]\frac{3}{4}\times \frac{1}{5}\\\\=\frac{3}{20} kg\\\\= \frac{3}{20}\times1000g = 150 g[/tex]

Answer:

[tex]A=157.07\ cm^2[/tex]

Step-by-step explanation:

Given that,

The radius of a cylinder, r = 5 cm

Height of the cylinder, h = 5 cm

We need to find the lateral surface area of the  cylinder. The formula for the lateral surface area of the cylinder is given by :

[tex]A=2\pi r h[/tex]

Put all the values,

[tex]A=2\pi\times 5\times 5\\\\=157.07\ cm^2[/tex]

So, the lateral surface area of the cylinder is [tex]157.07\ cm^2[/tex].

Answer:

[tex]\displaystyle \frac{\tan\theta}{\sec\theta - \cos\theta} = \frac{1}{\sin\theta} = \csc\theta[/tex]

Step-by-step explanation:

We have the expression:

[tex]\displaystyle \frac{\tan\theta}{\sec\theta - \cos\theta}[/tex]

And we want to write the expression in terms of sine and cosine and simplify.

Thus, let tanθ = sinθ / cosθ and secθ = 1 / cosθ. Substitute:

[tex]=\displaystyle \frac{\dfrac{\sin\theta}{\cos\theta}}{\dfrac{1}{\cos\theta}-\cos\theta}[/tex]

Multiply both layers by cosθ:

[tex]=\displaystyle \frac{\left(\dfrac{\sin\theta}{\cos\theta}\right)\cdot \cos\theta}{\left(\dfrac{1}{\cos\theta}-\cos\theta\right)\cdot \cos\theta}[/tex]

Distribute:

[tex]\displaystyle =\frac{\sin\theta}{1-\cos^2\theta}[/tex]

Recall from the Pythagorean Theorem that sin²θ + cos²θ = 1. Hence, 1 - cos²θ = sin²θ. Substitute and simplify:

[tex]\displaystyle =\frac{\sin\theta}{\sin^2\theta} \\ \\ =\frac{1}{\sin\theta}[/tex]

We can convert this to cosecant if we wish.

Answer:

There is no way to know to know because we don't have a way to see where 0,7 is on the graph

Answer:

y = 2x - 11

Step-by-step explanation:

y = 2x + b

-1 = 2(5) + b

-1 = 10 + b

-11 = b

Answer:

come to mya massanger dk khanal fb user

Step-by-step explanation:

i will teach you by sending picture

Answer:

Step-by-step explanation:

Let "ab" represent the digits of the number. The value of "ab" is 10a+b.

a+b = 7

The value of "ba" is 10b+a

(10b+a) - (10a+b) = 9b-9a = 27

b-a = 3

a+b = 7

b-a = 3

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

2b = 10

b = 5

a = 2

The number is 25.

Answer:

A

C

D

Step-by-step explanation:

Select three ratios that are equivalent to 4:3.

Choose 3 answers:

(Choice A)

8:6

(Choice B)

9:12

(Choice C)

20:15

(Choice D)

32:24

(Choice E)

36:28

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

To determine which fractions are equivalent to 4:3 express the options in their lowest terms

option 1 - 8 : 6

To transform to the simplest form. divide the numbers by 2

4 : 3 this is equivalent

option 2 : 9 : 12

To transform to the simplest form. divide the numbers by 3

= 3 : 4 this is not equivalent

option 3 : 20:15

To transform to the simplest form. divide the numbers by 5

4 : 3 this is equivalent

option 4 : 32:24

To transform to the simplest form. divide the numbers by 8

4 : 3 this is equivalent

option 5 : 36:28

To transform to the simplest form. divide the numbers by 4

9 : 7 this is not equivalent

Answer:

9, 10, 11, 12

Step-by-step explanation:

Let the consecutive numbers be:

x, x+1, x+2, x+3

Greatest of the numbers will be: x + 3

x+x+1+x+2+x+3 = 3(x+3) + 2

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

4x + 6 = 3x + 12 + 2

4x + 6 = 3x + 14

Collect like terms

4x - 3x = 14 - 6

x = 8

x +1 = 8+ 1 = 9

x + 2 = 8 + 2 = 10

x + 3 = 8 + 3 = 11

x + 4 = 8 + 4 = 12

Answer:

[tex]7b^2+6b-3[/tex]

Step-by-step explanation:

Given:

[tex]2b+7b^2-2+3b-1+b[/tex]

Combine like terms.

[tex]7b^2+6b-3[/tex]

Hope this helps.

Answer:

x = 2/3

Step-by-step explanation:

-3x + 4 = 2

-3x = -2

x = 2/3

y = 2

(plug it into original equation)

(2/3. 2)

Answer:

7

Step-by-step explanation:

2(5) -3

10-3

7

Answer:

For this exercise, we need to add to the $200 the cost of the hours the DJ has been working

If each hour costs 12.50 $ and he worked 8.5 hours, we can just multiply to see the price of their work:  12.5 * 8.5 = $106.25

Now, we can do the sum: 200 + 106.25 = $306.25

Answer:

The one with 6.4 ounces or multiple that are equivalent to that

Step-by-step explanation:

4/10 of a pound is equivalent to 2/5 of a pound. 2/5 of a pound is 6.4 ounces.

Step-by-step explanation:

An equation involving x and y, which is also a function, can be written in the form y = “some expression involving x”; that is, y = f ( x). This last expression is read as “ y equals f of x” and means that y is a function of x.

Answer:

120 miles

Step-by-step explanation:

30 miles per hour * 4 hours

120 miles

Answer:

She travels 120 miles in 4 hours.

Step-by-step explanation:

She travels 120 miles in 4 hours

Answer:

x = 12

Step-by-step explanation:

The sum of angles in a triangle is 180°

Thus,

(x + 20) + (10x) + (x + 16) = 180°

Collect like terms

x + 10x + x + 20 + 16 = 180°

12x + 36 = 180°

12x = 180 - 36

12x = 144

Divide both sides by 12

x = 144 ÷ 12

x = 12

Substitute the value of x into the question

Therefore,

x + 20 = 12 + 20

= 32°

10x = 10(12)

= 120°

x + 16 = 12 + 16

= 28°

Answer:

C

Step-by-step explanation:

The other answers have inputs (x) that have multiple outputs (y) which goes against the definition of a function.  For example in answer D zero has both the outputs of 7 and 52 which can not happen in order to be a function.  However outputs can have multiple inputs just not the other way around.

Answer:

1h b+h boi gate

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A central bank was needed to oversee monetary policy

Answer:A

Step-by-step explanation:

I did the test

Hello!

2√4³ =

2 × √4 ³ =

2 × 2³ =

2 × 8 = 16

Good luck! :)

Answer:

The equation of the line is y=7x

Answer:

Answer: for polynomials in two or more variables, the degree of a term is the sum of the exponents of the variables in the term; the degree (sometimes called the total degree) of the polynomial is again the maximum of the degrees of all terms in the polynomial