All categories

3 years ago

Which function is shown in the graph?

Mathematics

1 answer:

ch4aika [34]3 years ago

8 0

C because if the denominator equals x-2 that means that the horizontal asymptote happens at x=2. And because the numerator and denominator have the same degree then you divide leading coefficients to get the vertical asymptote at y=-2

You might be interested in

- The sample space for a roll of two number cubes is shown in the table.

ladessa [460]

Answer:

Step-by-step explanation:

5,6?

5 0

2 years ago

at a school number of boys : number of girls =9:7. There are 116 more boys than girls. Work out the total number of students at

Amanda [17]

X=number of boys.
y=number of girls.
we suggest this system of equation
x/y=9/7
x=y+116
We solve this system of equation by substitution method.
(y+116)/y=9/7
7(y+116)=9y
7y+812=9y
9y-7y=812
2y=812
y=812/2=406

x=y+116
x=406+116=522

answer: At the school there are 522 boys and 406 girls.

to chek.
522/406=1.2857...
9/7=1.2857...

The number of boys (522) is equal to 406+116=522.

5 0

4 years ago

Read 2 more answers

The graph of the equation x^2+6x+y^2-16y=-9 is a circle. Choose True or False for each statement

BigorU [14]

Answer:

see the explanation

Step-by-step explanation:

we have

$x^2+6x+y^2-16y=-9$

Convert the equation of the circle in center radius form

Group terms that contain the same variable

$(x^2+6x)+(y^2-16y)=-9$

Complete the square twice. Remember to balance the equation by adding the same constants to each side

$(x^2+6x+9)+(y^2-16y+64)=-9+9+64$

$(x^2+6x+9)+(y^2-16y+64)=64$

Rewrite as perfect squares

$(x+3)^2+(y-8)^2=8^2$

The center of the circle is (-3,8)

The radius of the circle is 8 units

Verify each statement

A. The center of the circle is (3,-8).

False

The center of the circle is (-3,8)

B. The circle is tangent to the x-axis

True

The circle is tangent to x=5 and x=-11 and is tangent to y=0 and y=16

Remember that y=0 is the x-axis

C. The circle has a radius of 64

False

The radius of the circle is 8 units

7 0

3 years ago

Please help find the interest?!

Vaselesa [24]

You want to calculate the interest on $300 at 9% interest per year after 4 month(s). The formula we'll use for this is the simple interest formula, or:

Where:

P is the principal amount, $300.00.

r is the interest rate, 9% per year, or in decimal form, 9/100=0.09.

t is the time involved, 4....month(s) time periods.

Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into "year" as well.

Do this by dividing your time, 4- month(s), by 12, since there's 12 months in 1 year.

So, t is 0.333333....year time periods.

To find the simple interest, we multiply 300 × 0.09 × 0.333333 to get that:

The interest is: $9.00

Usually now, the interest is added onto the principal to figure some new amount after 4 month(s),

or 300.00 + 9.00 = 309.00. For example:

If you borrowed the $300.00, you would now owe $309.00

If you loaned someone $300.00, you would now be due $309.00

If owned something, like a $300.00 bond, it would be worth $309.00 now.

3 0

4 years ago

To the nearest tenth of a second, how much longer would it take a dropped penny to fall 100 ft on the Moon than it would on Eart

nata0808 [166]

Answer:

3.6

Step-by-step explanation:

8 0

4 years ago