The ratio of boys to girl at the dance was 9 to 5.how many girls were at the dance if there were 85 girls ar the dance

The graph below shows two polynomial functions, f(x) and g(x): 6 f(x) 5 V -3 -2 2 3 4 g(x) -4 -5 -7 Which of the following state

olya-2409 [2.1K]

The function f(x) is a parabola. We can tell it is a even degree polynomial because the axis of reflection is a vertical line (it passes through the vertex).

In this case, f(x) has a double root at (0,1), but a parabola will have up to 2 roots.

It has a positive leading (quadratic in this case) coefficient, because it is concave up.

In the case of g(x), we can tell it is an odd degree polinomial, as it has a axis of reflection that is a line with slope m=-1. It is like it is reflected two times, one on an horizontal line and then on a vertical line.

The leading coefficient is positive because g(x) tends to infinity when x increases, and the leading coefficient is the one that has more weight for large values of x, so it has to be positive to have positive values of g(x).

Then, we can go through the statements.

O f(x) is an even degree polynomial with a negative leading coefficient. FALSE (the leading coefficient is positive)

O g(x) is an even degree polynomial with a negative leading coefficient. FALSE (it is an odd degree polynomial)

O f(x) is an odd degree polynomial with a positive leading coefficient. FALSE (it is an even degree polynomial).

O g(x) is an odd degree polynomial with a positive leading coefficient. TRUE

7 0

1 year ago

The table shows the outputs y for different inputs x:

Rasek [7]

Part A: Yes, the data represent a function. The definition of a function is a relation in which no value of x will have two different values of y.
(Every time you plug in 3 as x, you will always get 4 as y; it's ok if you plug in 3 and 5 as x and get the same y, you just can't get two different y's for one x; sorry, it is pretty confusing). None of the numbers in the table repeat, so we can safely say that the relation is a function.

Part B: All we have to do is plug in 11 for x in the function given to find the answer:
$f(x)=5x-21\\f(x)=5(11)-21\\f(x)=55-21\\f(x)=34$
In the table, y = 8 when x = 11, but in the function given, y = 34 when x = 11, so the function given is greater.

Part C: To find the answer to C, just plug in 99 for f(x), as it tells you to do:
$f(x) = 5x-21\\99=5x-21\\99+21=5x-21+21\\120=5x\\120/5=5x/5\\24=x$

5 0

3 years ago

Read 2 more answers

Help I’m struggling badly in math

Fynjy0 [20]

Answer:

bran to blueberry: 4:1

banana nut to bran: 1 to 2

total to corn: 12 muffins to 5 muffins

bran to total: 1/3

Step-by-step explanation:

hope that helped.

5 0

3 years ago

Natalie uses 68 photos to make an online photo album. She can fit 5 photos on each page. She fills all of the pages in her album

Sati [7]

68-2(\5)=#of pages in album

6 0

4 years ago

To determine the number of squirrels in a conservation area a researcher cashers tags and releases 114 squirrels you later catch

Ede4ka [16]

Answer:

336 squirrels

Step-by-step explanation:

-This is a Mark-Recapture method.

-The population is estimated using the formula:

$N=\frac{MC}{R}$

where:

N-is the estimated population size.
M-is the number of individuals tagged
C- is the total number captured the second time(both tagged and untagged)
R-is the total number of tagged individuals recaptured.

#We substitute our values as follows to estimate N:

$N=\frac{MC}{R}\\\\=\frac{114\times 97}{33}\\\\=335.0909\approx336$

Hence, there are approximately 336 squirrels in the conservation area.

*population is always rounded up to the next whole number.

5 0

3 years ago