What are the zeros of f(x)= x•x + 3x

Can you use the SSS Postulate or the SAS Postulate to prove triangle FEZ is congruent to triangle FGZ?

love history [14]

SAS only. The 3rd side cannot be proven.

8 0

3 years ago

Identify the monomial function described as odd or even, and indicate whether a is positive or negative.

Igoryamba

Answer:

Case 1: As x > 0 increases, f(x) increases. As x < 0 decreases, f(x) decreases.

It is an 'odd' function with 'positive' a.

Case 2: As x > 0 increases, f(x) decreases. As x < 0 decreases, f(x) decreases.

It is an 'even' function with 'negative' a.

Case 3: As x > 0 increases, f(x) increases. As x < 0 decreases, f(x) increases.

It is an 'even' function with 'positive' a.

Case 4: As x > 0 increases, f(x) decreases. As x < 0 decreases, f(x) increases.

It is an 'odd' function with 'negative' a.

Step-by-step explanation:

Let us consider a monomial function:

f(x) = axⁿ

Case 1:

As x > 0 increases, f(x) increases. As x < 0 decreases, f(x) decreases.

This happens only if a is 'positive' and n is 'odd'. So, it is an 'odd' function with 'positive' a.

Case 2:

As x > 0 increases, f(x) decreases. As x < 0 decreases, f(x) decreases.

This happens only if a is 'negative' and n is 'even'. So, it is an 'even' function with 'negative' a.

Case 3:

As x > 0 increases, f(x) increases. As x < 0 decreases, f(x) increases.

This happens only if a is 'positive' and n is 'even'. So, it is an 'even' function with 'positive' a.

Case 4:

As x > 0 increases, f(x) decreases. As x < 0 decreases, f(x) increases.

This happens only if a is 'negative' and n is 'odd'. So, it is an 'odd' function with 'negative' a.

Keywords: monomial function, odd function, even function

Learn more about monomial function from brainly.com/question/8973176

#learnwithBrainly

3 0

3 years ago

Read 2 more answers

Y = x² – 4 y = 2r + 4 Solve algebraicallu for the solutions of equations below.

oksano4ka [1.4K]

Step-by-step explanation:

Okay, the first step is to rewrite this equation in "vertex form." You can search that up but it's basically just (h/k).

y = ( x − 1) 2 + 3

Now, we are going to use the vertex form, "y = a (x - h)2 + k, to get the values of a, h, and k.

By using the form we get 1 for the value a, 1 for the value h, and 3 for the value k.

1 = a

1 = h

3 = k

Becuse the value of a is positive, the parabola opens up! (A parabola is the U shaped line in a graph, so that opens up.)

Now, we find the vertex (h,k)

which is (1,3)

Now we find the p from the vertex to the focus. (vertext the top, focus one of the points.)

Follow this formula to find the distance from the vertex to a focus by using this formula

1/4a.

Now we just gonna substitue 1 for a, since we know that 1 equals a above ^

1/4 * 1

Solving that, we got a nice little 1/4.

Next we find the focus

"Find the focus.

The focus of a parabola can be found by adding p to the y-coordinate k if the parabola opens up or down.

(h,k+p)

Substitute the known values of h, p, and k into the formula and simplify.

(1,134)

Find the axis of symmetry by finding the line that passes through the vertex and the focus.

x=1

Find the directrix.

y=114

Use the properties of the parabola to analyze and graph the parabola.

Direction: Opens Up

Vertex: (1,3)

Focus: (1,134)

Axis of Symmetry: x=1

Directrix: y=114

Select a few x values, and plug them into the equation to find the corresponding y values. The x values should be selected around the vertex.

xy−1704132437

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex: (1,3)

Focus: (1,134)

Axis of Symmetry: x=1

Directrix: y=114

xy−17041324"

(Sorry if this is long! But I hope you understand it better now! Thanks for the points!)

3 0

3 years ago

Help

mars1129 [50]

To find one year, here's the equation:
5000 + 0.06(5000)
For 10 years:
5000 + 10(0.06(5000))
Multiply:
5000 + 0.6(5000)
We can make it smaller:
1.6(5000) = 8000
You can make $8000

7 0

3 years ago

A family went to a baseball game. The cost to park cars was $5 and the cost per ticket was $21. Write a linear function in the f

Sophie [7]

Answer:

The total cost $y$ in dollars of going to the baseball game for $x$ people of a family can be given as:

$y=21x+5$

Step-by-step explanation:

Given:

At a baseball game:

Cost of car parking = $5

Cost per ticket = $21

To write an equation in the form of $y=mx+b$ representing the total cost of going to the baseball game.

Solution:

The total number of people in the family is = $x$

Using unitary method to find the cost of tickets for $x$ persons.

If 1 ticket costs = $21

Then, $x$ tickets will cost in dollars = $21x$

Fixed rate for car parking = $5

Thus, the total cost $y$ in dollars of going to the baseball game for $x$ people of a family can be given as:

$y=21x+5$

5 0

3 years ago

What are the zeros of f(x)= x•x + 3x - 10?