A number is shown in expanded form.

*I NEED THIS ASAP*

BigorU [14]

Answer:

5 terms

to the fourth degree

leading coeff of 1

3 turning points

end behavior (when x -> inf, y -> inf. When x -> - inf, y -> -inf)

x intercepts are (0,-4) (0,-2) (0,1) (0,3)

Relative min: (-3.193, -25) (2.193, 25)

Relative max: (-0.5, 27.563)

Step-by-step explanation:

The terms can be counted, seperated by the + and - in the equation given.

The highest exponent is your degree.

The number before the highest term is your leading coeff, if there is no number it is 1.

The turning points are where the graph goes from falling to increasing or vice versa.

End behaviour you have to look at what why does when x goes to -inf and inf.

X int are the points at which the graph crosses the x-axis.

The relative min and max are findable if you plug in the graph on desmos or a graphing calculator.

5 0

2 years ago

Ten children in a kindergarten class own a dog. Fourteen children in the class do not own a dog. Find the ratio of the number of

Bond [772]

5/7 which means for every 7 kids, one owns a dog

3 0

2 years ago

William and his three friends went out for lunch. The bill was $34 and they left a 15% tip. They want to split the bill equally.

slavikrds [6]

Answer:

Each person will pay $9.78

Step-by-step explanation:

Given that:

Amount of bill = $34

Tip = 15%

Amount of tip = $\frac{15}{100}*34$

Amount of tip = 0.15 * 34

Amount of tip = $5.10

Amount after bill = 34 + 5.10 = $39.10

Number of people = William + three friends = 4

Per person share = $\frac{39.10}{4}$

Per person share = $9.775

Rounded to two decimal places

Per person share = $9.78

Hence,

Each person will pay $9.78

8 0

2 years ago

Which equation has the steepest parabola?

ICE Princess25 [194]

Given:

The equations of parabolas in the options.

To find:

The steepest parabola.

Solution:

We know that, if a parabola is defined as

$(y-k)=n(x-h)^2$

Then, the greater absolute value of n, the steeper the parabola.

It can be written as

$\dfrac{1}{n}(y-k)=(x-h)^2$

$p(y-k)=(x-h)^2$

where $p=\dfrac{1}{n}$ , the smaller absolute value of p, the steeper the parabola.

Now, find the value of |p| for eac equation

For option A, $|-0.5|=0.5$

For option B, $|5|=5$

For option C, $|8|=8$

For option D, $|-10|=10$

Since, the equation is option A has smallest value of |p|, therefore, the equation $(x+2)^2=-0.5(y+3)$ represents the steepest parabola.

Hence, the correct option is A.

7 0

2 years ago

You are a contractor and charge $45 for a site visit plus an additional $24 per hour for each hour you spend working at the site

tino4ka555 [31]

Answer:

Equation: 810= (90 + 24y)

y = 30 hours

Step-by-step explanation:

Given:

Site visit = $45 per site

cost per hour worked = $24

for <u>each </u>work site, the total amount of money earned

= site visit fee + cost for working

But the question mentions TWO sites, hence there will be two site visits. Therefore for TWO sites, we have to account for TWO site visit fee.

Therefore for TWO sites, the total amount of money earned

= site 1 visit fee + site 2 visit fee + cost for working

= (2 x site visit fee) + cost for working ------ Equation 1

We are further given that we worked y hours at the hourly work rate of $24 per hour.

Hence the cost for working

= y hours x hourly rate

= y x $24

= $24y (substituting this into equation 1 above)

for TWO sites, the total amount of money earned

= (2 x site visit fee) + cost for working

= (2 x $45) + $24y

= $90 + $24y

= $(90 + 24y)

We are also given that we have to earn $810 for two sites, hence

810 = 90 + 24y

810 - 90 = 24y

24y = 720

y = 720/24

y = 30 hours

8 0

3 years ago