Help me pleaseeeeeee

The only expression of that can represent polynomial p as a function on a graph having four zeros at -4, -2/3, 0, and 9 is: A. [tex]\mathbf{-3x(x + 4)(3x + 2)(x - 9)}[/tex]

Given the four zeros of the graph of p are at:

From the options given, the expression in option A will represent a function of a polynomial p with zeros at -4, -2/3, 0, and 9.

Here's why:

[tex]-3x(x + 4)(3x + 2)(x - 9)[/tex] (option A)

Therefore are four factors in the polynomial above which are:

[tex]3x\\\\(x + 4)\\\\(2x - 3), $ and\\\\(x -9)[/tex]

The zeros of polynomial p will be the following:

[tex]3x = 0\\\\x = \frac{0}{3} \\\\\mathbf{x = 0}[/tex]

[tex](x + 4) = 0\\\\\mathbf{x = -4}[/tex]

[tex](3x + 2) = 0\\\\3x = -2\\\\\mathbf{x =-\frac{2}{3}}[/tex]

[tex](x -9) = 0\\\\\mathbf{x = 9}[/tex]

Therefore, the only expression of that can represent polynomial p as a function on a graph having four zeros at -4, -2/3, 0, and 9 is: A. [tex]\mathbf{-3x(x + 4)(3x + 2)(x - 9)}[/tex]

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Answer:

She got home at 12:35 P.M.

Step-by-step explanation:

She got to the library at 10:30 am.

She spent 50 minutes there

10:30 + 50 mins can be seperated to 30 mins and 20 mins

So, 30 mins goes to 11 and 20 mins more equals 11:20.

She took 1 1/4 hours to get home

1 hour more means 12:20, and since 1/4 of an hour is 15 mins,

12:20 + 15 = 12:35 P.M

hope this helped!

Answer:

y=1/3x-2

Step-by-step explanation:

Answer: 13

Step-by-step explanation:

cost for 3 hours: 7+2(3)=13

cost for t hours: 7+2t

Answer:

13

Step-by-step explanation:

Answer: Remember how to find equivalent fractions? Here are some:

1/4, 2/8, 3/12, 4/16, 5/20, 25/100, 90/360, 1800/7200

To find all of these, there's a simple method- multiply the denominator and the numerator by the same number. As long as you make sure to use the same number for both the top AND the bottom, you'll always have an equivalent fraction. For example,

1                1800            1800

---    x     --------------   =   ---------

4               1800             7200

This works because, as you may have noticed, any muliplier you use is in the form of n over n, which, of course, is equivalent to one whole or 100%. Make sense?

The three fractions equivalent to 6/24 are 3/12, 1/4, and 2/8.

A fraction is a part of the whole represented by a/b, where a and b are any integers.

The given fraction is 6/24.

Simplify the fraction:

6/24

= 3/12

= 1/4

Divide and multiply the above fraction by 2:

2/8

Hence, the three fractions equivalent to 6/24 are 3/12, 1/4, and 2/8.

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Answer:

[tex]P(F/E) = 0.6[/tex]

Step-by-step explanation:

If we are given two dependent events [tex]A[/tex] and [tex]B[/tex] such that their chances of occurrence or the probabilities of the events are: [tex]P(A)[/tex] and [tex]P(B)[/tex].

Then the conditional probability that the event [tex]B[/tex] will occur given that [tex]A[/tex] has already occurred is given by the following formula:

[tex]P(B/A) = \dfrac{P(A \cap B)}{P(A)}[/tex]

Here the two events given are [tex]E[/tex] and [tex]F[/tex].

[tex]P(E\ and\ F)\ or\ P(E\cup F) = 0.3[/tex]

and [tex]P(E) = 0.5[/tex]

As per the above formula that we have already discussed, the formula can be written as:

[tex]P(F/E) = \dfrac{P(E \cap F)}{P(E)}\\\Rightarrow P(F/E) = \dfrac{0.3}{0.5}\\\Rightarrow P(F/E) = \dfrac{3}{5}\\\Rightarrow \bold{P(F/E) = 0.6}[/tex]

Answer:

b. Hо : μ ≥ 40.1; Ha : μ > 40.1

Step-by-step explanation:

Note: The complete options to the question is attached as picture below

The alternative hypothesis is focusing on "the recession has led to a reduction in the average work week".

So, it will be less than the past average. i.e, 40.1.. so, we will use a less than (<) sign to write the alternative hypothesis.

The hypotheses are as below:

Hо : μ ≥ 40.1 (Null hypothesis)

Ha : μ > 40.1 (Alternative hypothesis)

Answer:

The parabola is translated down 2 units.

Step-by-step explanation:

You have the parabola f(x) = 2x² – 5x + 3

To change this parabola to f(x) = 2x² - 5x + 1, you must have performed the following calculation:

f(x) = 2x² – 5x + 3 -2= 2x² - 5x + 1  Expresion A

The algebraic expression of the parabola that results from translating the parabola f (x) = ax² horizontally and vertically is g (x) = a(x - p)² + q, translating in the same way as the function.

In the expression A it can be observed then that q = -2 and is less than 0. So the displacement is down 2 units.

This can also be seen graphically, in the attached image, where the red parabola corresponds to the function f(x) = 2x² – 5x + 3 and the blue one to the parabola f(x) = 2x² – 5x + 1.

In conclusion, the parabola is translated down 2 units.

Answer:

276 guests were at the wedding.

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] + [tex]\frac{5}{12}[/tex] = [tex]\frac{4+5}{12}[/tex] = [tex]\frac{9}{12}[/tex]

1 - [tex]\frac{9}{12}[/tex] = [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{4}[/tex]

[tex]\frac{1}{4}[/tex] of the guests are 69 guests ⇒ 69 × 4 = 276 guests were at the wedding.

Answer: C ( square root of 1.5 x 3.6)

Step-by-step explanation:

The price for the variance is 3.6 times 1.5. Standard deviation is the square root of variance, so the answer is the square root of 1.5 x 3.6.

The standard deviation expression of the distribution P is √(1.50 × 3.6)

Given the Parameters :

The price for the variance of the distribution can be written as :

The standard deviation of the distribution D is related to the variance by the formular :

Therefore, the standard deviation in $ of P will be √(1.50 × 3.6)

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Answer:

155 in

Step-by-step explanation:

Theres honestly no easy way to solve this except using a pencil and a notebook.

Anyways, heres how I did it:

6 times 7=42

17 times 5=85

7 times 4=28

42+85+28=155

Answer:

150

Step-by-step explanation:

Answer:

D.)150

Step-by-step explanation:

Hope I helped

Answer:

1 gift per person

Step-by-step explanation:

The graph here is linear, and it crosses right through values such as (1,1) (2,2) etc. That shows that per person, each one will get 1 gift.

Answer:

33 1/3

Step-by-step explanation:

7/21=1/3

1/3*100=100/3

100/3=33 1/3

Answer:

f(x, y) = yx²/2 + 3x² + 4yx + 24x + K

Step-by-step explanation:

Given the expression dy/dx=xy+6x+4y+24

To find the solution, we are to make y the subject of the formula as shown

dy = (xy+6x+4y+24)dx

∫dy =∫(xy+6x+4y+24)dx

y = ∫(xy+6x+4y+24)dx

We are to integrate the function with respect to x keeping y constant. Since all constant are brought out if integral sign we will have;

y = ∫(xy)dx + ∫(6x)dx + ∫(4y)dx + ∫24dx

y = y∫xdx + 6∫xdx + 4y∫dx + 24∫dx

Integrate;

y = yx²/2 + 6x²/2 + 4yx + 24x + K

y = yx²/2 + 3x² + 4yx + 24x + K

Hence the solution to the differential expression is;

f(x, y) = yx²/2 + 3x² + 4yx + 24x + K

Where K is the constant of integration.

Answer:

10

Step-by-step explanation:

go to mathaway.com and type in the equation and when x=-6. Press show graph and it says 10. The graph is my proof.

Answer:

4L/7L

Step-by-step explanation:

32:56 is the same as 32/56

They can be divided by a maximum of 8

32/8=4

56/4=7

4/7

An

2 pie/3

Step-by-step explanation:

Answer:

5 pounds

Step-by-step explanation:

Given that:

Amount of gift card = $80

Cost of coffee per pound = $8.24

Amount left in the card = $38.80

To find:

Number of pounds of coffee bought = ?

Solution:

Let the number of pounds of the coffee bought = [tex]x[/tex] pounds

Cost of 1 pound = $8.24

Cost of [tex]x[/tex] pounds = $8.24 [tex]\times x[/tex]

Writing the equation as per question statement:

[tex]80 - 8.24x = 38.80\\\Rightarrow 80 - 38.80 = 8.24x\\\Rightarrow 8.24x = 41.2\\\Rightarrow x = \dfrac{41.2}{8.24}\\\Rightarrow \bold{x = 5\ pounds}[/tex]

Therefore, 5 pounds of coffee was bought.

Answer:

u ≤ -27/2

Step-by-step explanation:

hope this helps

Answer:

$8.95

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = 4x is proportional and linear ( y = coffienient(x) )

y = -4x - 3 is not proportional because it has a costant ( -3 )

They are both an equation, they have a coffienient, and a value like (x)

9514 1404 393

Answer:

Step-by-step explanation:

The slope of the first line is 4; the slope of the second line is -4, so the slopes are opposites of each other. (The lines are not perpendicular.)

The y-intercept of the first line is 0; that of the second line is -3, so they cross the y-axis in different places.

Since the slopes are opposites of each other, one line is a reflection of the other about the horizontal line through the point where the lines meet. That point is ...

  4x = -4x -3

  8x = -3

  x = -3/8

  y = 4x = -3/2

The point of intersection (common to both lines) is (-3/8, -3/2).

Answer:

35%

Step-by-step explanation:

14÷40= 0.35 (35%)

0.35 × 40= 14

Answer:

Yes they are the same i know this because for every 10 girls or boys there are 4 who try out for the team. so for every 10 Boys or Girls there are 4 that will try out for the team. For those wondering the ratio is 4:10

Step-by-step explanation:

Answer:

Yes, when simpilfied or written as a fraction they are equal

Step-by-step explanation:

12:30 = [tex]\frac{12}{30\\ \left \\\}[/tex] = [tex]\frac{4}{10\\}[/tex]

16:40 = [tex]\frac{16}{40}[/tex] = [tex]\frac{4}{10}[/tex]