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2 years ago

Identify the center and intercepts of the conic section

Mathematics

1 answer:

Lina20 [59]2 years ago

6 0

Answer:

center: (0, 0)
x-intercepts (-3, 0), (3, 0)
y-intercepts (0, -5), (0, 5)
domain -3 ≤ x ≤ 3
range -5 ≤ y ≤ 5

Step-by-step explanation:

Your answer is correct except for the intercepts.

The x-intercepts are where the graph crosses the x-axis. Those points are (-3, 0) and (3, 0). They can be identified in a list of points by the fact that the y-coordinate is zero (corresponding to the x-axis).

The y-intercepts are where the graph crosses the y-axis. Those points are (0, -5) and (0, 5). They can be identified in a list of points by the fact that the x-coordinate is zero (corresponding to the y-axis).

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20 points <br><br> Evaluate the function graphically find f(-6)

Rom4ik [11]

Answer:

Five

Step-by-step explanation:

Just look at the point where x=-6

4 0

2 years ago

Here are two expressions whose product is a new expression, :

Vera_Pavlovna [14]

Answer:

1. Fill in the box with 1

2. Fill in the box with -2

Step-by-step explanation:

Expression:

$(-2x^3 + [\ ]x)(x^{[\ ]}+1.5) = A$

Solving (1): Fill in the box to make it a polynomial.

To make it a polynomial, we simply fill in the box with a positive integer (say 1)

Fill in the box with 1

$(-2x^3 + [1]x)(x^{[1]}+1.5) = A$

Remove the square brackets

$(-2x^3 + x)(x^1+1.5) = A$

$(-2x^3 + x)(x+1.5) = A$

Open bracket

$-2x^4 - 3x^3 + x^2 + 1.5x = A$

Reorder

$A = -2x^4 - 3x^3 + x^2 + 1.5x$

The above expression is a polynomial.

This will work for any positive integer filled in the box

Solving (2): Fill in the box to make it not a polynomial.

The powers of a polynomial are greater than or equal to 0.

So, when the boxes are filled with a negative integer (say -2), the expression will cease to be a polynomial

Fill in the box with -2

$(-2x^3 + [-2]x)(x^{[-2]}+1.5) = A$

Remove the square brackets

$(-2x^3 - 2x)(x^{-2}+1.5) = A$

Reorder

$A = (-2x^3 - 2x)(x^{-2}+1.5)$

Open brackets

$A = -2x-3x^3-2x^{-1}-3x$

Collect Like Terms

$A = -3x^3-2x-3x-2x^{-1}$

$A = -3x^3-5x-2x^{-1}$

Notice that the least power of x is -1.

Hence, this is not a polynomial.

3 0

2 years ago

A bag contains pennies, nickels, nickels, and nickels. There are 50 coins in total. Of the coins, 14% are pennies and 34% are di

Alborosie

answer:

8 pennies,16 dimes,13 nickels,13 quarters

Step-by-step explanation:

total number of coins = 50

16% are pennies

16% of 50

16/100 x 50=(16x50)/100=800/100=8

Pennies = 8

32% are dimes

32% of 50

32/100 x 50=(32x50)/100=1600/100=16

Dimes = 16

5 more nickels than pennies

Pennies = 8

nickels = 8 + 5 = 13

nickels = 13

8+16+13=37

50 - 37 = 13

13 quarters

pennies = 8, dimes = 16, nickels = 13, quarters = 13

8 0

1 year ago

Martin runs 100 meters in 15 seconds. What is the equation for d, the distance in meters that Martin covers per second?

Marizza181 [45]

The answer is d x 15 =100

In order to get the value of d, you must transpose the constant 15 to the left side of the equation.

It can also be written like this:

15d = 100

Divide both sides by 15:

15d / 15 =100/15

d = 6.667 meters per second

7 0

3 years ago

Read 2 more answers

Find compound interest on12600rupees for 2years at10% per annum compounded anually<br>

vekshin1

Answer:

₹2520

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 10%/100 = 0.1 per year,

then, solving our equation

I = 12600 × 0.1 × 2 = 2520

I = ₹ 2,520.00

The simple interest accumulated

on a principal of ₹ 12,600.00

at a rate of 10% per year

for 2 years is ₹ 2,520.00.

3 0

2 years ago