The point (2,6) lies on the graph of the equation y = kx^2

What are the first five terms of the sequence an= n +8?

vladimir2022 [97]

Answer:

9, 10, 11, 12, and 13

Step-by-step explanation:

The first term is determined when n=1, therefore a(1)=1+8=9

The second term is determined when n=2, therefore a(2)=2+8=10

The third term is determined when n=3, therefore a(3)=3+8=11

The fourth term is determined when n=4, therefore a(4)=4+8=12

The fifth term is determined when n=5, therefore a(5)=5+8=13

8 0

3 years ago

Find the inequality represented by the graph.<br> Can someone please help me!!!!!!

lapo4ka [179]

Answer:

$y$

Step-by-step explanation:

We first need to determine the equation of the line.

Thus, we will need to find our slope first. To do so, we need to pick two points from the line. We can use (0, 5) and (3, 1).

Now, we can use the slope formula. Therefore:

$m=\frac{y_2-y_1}{x_2-x_1}$

Let (0, 5) be (x₁, y₁) and let (3, 1) be (x₂, y₂). Substitute appropriately:

$m=\frac{1-5}{3-0}=\frac{-4}{3}$

Therefore, our slope is -4/3.

Now, we can use the slope-intercept form:

$y=mx+b$

Where m is our slope and b is the y-intercept.

We already determined that the slope is -4/3.

And (0, 5) tells us that the y-intercept is 5. Therefore, substitute:

$y=-\frac{4}{3}x+5$

Finally, we need to determine our inequality sign.

Notice that our line is dotted. Hence, we do not need “or equal to.”

Also, the blue shaded region is below our line. Therefore, y must be less than our equation.

Hence, our sign is less than.

Therefore, our equation is:

$y$

8 0

3 years ago

Simplify this for me please!!! And fast

Anika [276]

-2xy + 5x² +4y -10x

Step-by-step explanation:

7 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

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3 0

3 years ago

Read 2 more answers

Find [-4/5]×3/7×15/16×[-14/9]

dangina [55]

The given expression is $\frac{-4}{5} \times \frac{3}{7} \times \frac{15}{16} \times (\frac{-14}{9})$ .

We need to simplify the given expression.

<h3>What is a rational number?</h3>

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

Now group the rational numbers $(\frac{-4}{5}\times \frac{15}{16} ) \times (\frac{3}{7}\times (\frac{-14}{9}))$

$=(\frac{-4}{16}\times \frac{15}{5} ) \times (\frac{3}{9}\times (\frac{-14}{7}))$

$=(\frac{-1}{4}\times \frac{3}{1} ) \times (\frac{1}{3}\times (\frac{-2}{1}))$

$=(\frac{-3}{4} ) \times (\frac{-2}{3})=\frac{1}{2}$

Therefore, the simplified value of the given expression is $\frac{1}{2}$ .

To learn more about the rational numbers visit:

brainly.com/question/17450097.

#SPJ1

8 0

2 years ago

The point (2,6) lies on the graph of the equation y = kx^2 - 3x. Find the value of K.