If the zeros of the function g(x) are (-3,0,4),
which function could represent g(x)?
1)
2)
3)
4)
g(x) = (x+3)(x-4)
g(x) = (x − 3)(x+4)
-
g(x) = x(x+3)(x − 4)
g(x)= x(x − 3)(x+4)

So I think I had this for Imagine Math, so here is what I got :D;

Franco (6 items): 6 notebooks = 1.89+1.89+1.89+1.89+1.89+1.89= 11.34

Ivanna (3 items): 1 colored thingy + 2 sharped thingy = 4.29+2.45+2.45= 9.19

Esther (4 items): 1 colored thingy + notebook + sharpened thingy = 1.89+2.45+0.54+4.29= 9.17

I really hope this helps :DDDDDDDD

Answer:

a. The two players playing the game

b. No dominant strategy

c. No equilibrium

Step-by-step explanation:

a. The players are the two people playing the game of matching pennies

The strategy of the players are to meet the conditions of them keeping the pennies by having either heads or tails

The payoff of the game are as follows;

Player A keeps the two pennies when the outcome matches

Player B keeps the two pennies when the outcome does not match

The payoff of the game are as follows;

                                                Player A

                                             Head                          Tails

Player B  Head                     1, -1                              -1, 1

               Tails                      -1   1                               1, -1

Where:

x, y

x = Player A

y = Player B

1 = Getting to keep the two pennies

-1 = Losing a penny

b. There are no best strategy because the game is one of chance whereby the result of the strategy of one player depends on the side of the penny facing up by the other player.

c. There is no equilibrium as the possible outcomes are equal hence the outcomes can be even or one sided.

Answer:

D No, because the cards are not being replaced in the deck after they are turned over, the independence condition has not been met.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

lucky guess

Answer:

-If you bought a small number of tickets, it is possible for you to make money

-If you bought a large number of tickets, you should expect the average value to be about −1−1minus, 1 dollar per ticket.

Step-by-step explanation:

The definite integral for this problem has the result given as follows:

\(\int_1^5 x^2 + 2x - \tan{x} dx = 212 - \ln{|\sec{5}|} + \ln{|\sec{1}|}\)

The definite integral for this problem is defined as follows:

\(\int_1^5 x^2 + 2x - \tan{x} dx\)

We have an integral of the sum, hence we can integrate each term, and then add them.

For the first two terms, applying the power rule, the integrals are given as follows:

The integral of the tangent is given as follows:

ln|sec(x)|

Then the integral is given as follows:

I = x³/3 + x² - ln|sec(x)|, from x = 1 to x = 5.

Applying the Fundamental Theorem of Calculus, the result of the integral is obtained as follows:

I = 5³/3 + 5² - ln|sec(5)| - (1³/3 + 1² - ln|sec(1)|)

I = 625/3 - 1/3 + 5 - 1 - ln|sec(5)| + ln|sec(1)|

I = 208 + 5 - 1 - ln|sec(5)| + ln|sec(1)|

I = 212 - ln|sec(5)| + ln|sec(1)|.

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Answer:

???

Step-by-step explanation:

Answer:

m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Step-by-step explanation:

2m³ - 5m² - 7m = 0 ← factor out common factor m from each term

m(2m² - 5m - 7) = 0

factorise the quadratic 2m² - 5m - 7

consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term

product = 2 × - 7 = - 14 and sum = - 5

the factors are + 2 and - 7

use these factors to split the m- term

2m² + 2m - 7m - 7 ( factor the first/second and third/fourth terms )

2m(m + 1) - 7(m + 1) ← factor out (m + 1) from each term

(m + 1)(2m - 7)

then

2m³ - 5m² - 7m = 0

m(m + 1)(2m - 7) = 0 ← in factored form

equate each factor to zero and solve for m

m = 0

m + 1 = 0 ( subtract 1 from both sides )

m = - 1

2m - 7 = 0 ( add 7 to both sides )

2m = 7 ( divide both sides by 2 )

m = \(\frac{7}{2}\)

solutions are m = - 1 , m = 0 , m = \(\frac{7}{2}\)

The author of the review is disappointed with the meatball sub casserole recipe posted on Recipe Masters, which did not turn out well despite following the recipe.

The author recommends that others should not attempt to make the recipe and believes that Recipe Masters should ensure that their posted recipes are reliable and thoroughly tested. The author also implies that the quality of the recipes on Recipe Masters is not as advertised, which could potentially lead subscribers to lose faith in the service and seek out free recipe sites instead.

Therefore, a suitable summary of the author's point of view would be: The author is dissatisfied with the meatball sub casserole recipe on Recipe Masters, which did not work out well and believes that Recipe Masters should provide reliable, thoroughly tested recipes as advertised.

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Answer:

49 and 18

Step-by-step explanation:

37 plus 12 is 49 and 25 minus 12 is 18.

Answer:

Define two roughly identical sets.

Reduce the chance of bias.

Step-by-step explanation:

In this experiment, Daniel performs a random assignment in order to stablish two separate groups with roughly equivalent ability to do barbell curls. Two different treatments (verbal encouragement and silence) are then applied in order to verify for a cause and effect relationship. If the groups were not randomly assigned, then the experiment could be biased.

Answer:

\(Absolute\ Change = -0.766\)

Step-by-step explanation:

Given

\(2008\ CPI = 215.303\)

\(2009\ CPI = 214.537\)

Required

Determine the absolute change

Absolute change is calculated as thus:

\(Absolute\ Change = 2009\ CPI - 2008\ CPI\)

\(Absolute\ Change = 214.537 - 215.303\)

\(Absolute\ Change = -0.766\)

Hence:

The absolute change from 2008 to 2009 is -0.766

Answer:

∠ B = 82°

Step-by-step explanation:

complementary angles sum to 90° , then

x - 19 + 3x + 1 = 90

4x - 18 = 90 ( add 18 to both sides )

4x = 108 ( divide both sides by 4 )

x = 27

Then

∠ B = 3x + 1 = 3(27) + 1 = 81 + 1 = 82°

The correct statement is;

False,  because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be  x = 2π/3 + 2nx and x = 4π/3 + 2nx.

Option D

From the information given, we have that;

All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx

There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx

Such that n is an integer.

This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.

The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.

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The rate at which the volume of the cube is changing is 1200 in³/seconds.

Volume is the space occupied by a solid object.

To calculate the rate at which the volume of the cube is changing, we use the formula below.

Formula:

Where:

From the question,

Given:

If, the volume of a cube is V = L³,

Then,

Substitute these values into equation 1

Hence, the rate at which the volume is changing is 1200 in³/seconds.
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Answer: the answer is (C) 9:55pm

Step-by-step explanation: 2 hours 15 minutes after 7:40pm is 9:55pm

Answer:

Step-by-step explanation:480 x o.75=360

and now you add this amount on payed

360 + 480=840 was original price

Answer:

I'm not exactly sure yet but i believe the 3rd choice is best!

Comment!

(Soon i will give reasoning and answer or change it unless i am right)

Tell me stuff in comments i'll see what i can do.

Step-by-step explanation:

Hope i helped!

Thanks,

Your helper :)

Friend me!

Answer: D

Step-by-step explanation:

You just have to test pi/6

\(\dfrac{30}{cos(6*\dfrac{Pi}{6})} =\dfrac{30}{cos(\Pi)} =-30\)

The solution is: Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1, the following functions is graphed below.

Option C is correct.

Explanation:

We are given a graph of piece-wise function which break at x=1

We need to choose correct option for graph.

Function is break at x=1.

We will get two function

For x≤1 and x>1

As we can see x≤1, graph is linear and x>1 graph is parabolic.

Equation of linear graph, x≤1

Take two point of graph (0,6) and (-6,0)

Equation of line:

y-y1/y2-y1 = x-x1/x2-x1

y = x+1

f(x)=x+6 , x≤1

Equation of parabolic graph, x>1

f(x) = x^2 + 3

Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1

Please see the attached figure.

Hence, The option C is correct.

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Answer:

ask in English then I can help u

The cost of the paint needed to give the entire wall a good coverage of paint is $22

Firstly, we need to calculate the equivalent areas

Mathematically, we know that 1 ft is 12 inches

So to calculate the area of the wall in square inches, we have;

Now let us calculate the area of the test;

We have this as;

Now, we know that1 ounce is okay for the test, the number of ounces okay for the main wall would be;

So, 100.60 ounces of paint would be enough to cover the wall

Finally, we proceed to get the cost of this as follows;

Mathematically, 1 ounce is 0.0078125 gallons

So, the number of ounces would be;

From the question, the cost per gallon is $28

So, the cost in 0.786 gallons would be;

The perimeter of the figure is 4(π + 9)ft.

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

Given is a 2 - D figure as shown in the figure attached.

We can write the perimeter as -

P = P{rectangle} + P{semicircle}

P = 2(10 + 8) + (4π)

P =  (4π) + (36)

P = 4(π + 9)

Therefore, the perimeter of the figure is 4(π + 9)ft.

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Answer:

276 times

Step-by-step explanation:

23*12=276

You multiply it by 12 because there is 120 seconds in 2 minutes and it flaps 23 times in 10 seconds so you have to multiply the flaps per time, which is why its 23*12

Using the arrangements formula, it is found that there are 24 ways to arrange the people as such one works each quarter.

The number of possible arrangements of n elements is given by the factorial of n, that is:

\(A_n = n!\)

In this problem, 4 people will be arranged, hence:

\(A_4 = 4! = 24\)

Hence, they can be arranged in 24 ways.

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Answer:

224.00 it's a good deal

It does not appear that police can use a shoe print length to estimate the height of a​ male.

The given parameters are:

\(\begin{array}{cccccc}{Shoe\ Print} & {28.6} & {29.4} & {32.2} & {32.4} & {27.3} \ \\ Height (cm) & {172.5} & {176.7} & {188.4} & {170.1} & {179.2} \ \end{array}\)

Rewrite as:

\(\begin{array}{cccccc}{x} & {28.6} & {29.4} & {32.2} & {32.4} & {27.3} \ \\ y & {172.5} & {176.7} & {188.4} & {170.1} & {179.2} \ \end{array}\)

See attachment for scatter plot

To determine the correlation coefficient, we extend the table as follows:

\(\begin{array}{cccccc}{x} & {28.6} & {29.4} & {32.2} & {32.4} & {27.3} & y & {172.5} & {176.7} & {188.4} & {170.1} & {179.2} & x^2 & {817.96} & {864.36} & {1036.84} & {1049.76} & {745.29} & y^2 & {29756.25} & {31222.89} & {35494.56} & {28934.01} & {32112.64} & x \times y & {4933.5} & {5194.98} & {6066.48} & {5511.24} & {4892.16} \ \end{array}\)

The correlation coefficient (r) is:

\(r = \frac{\sum(x - \bar x)(y - \bar y)}{\sqrt{SS_x * SS_y}}\)

We have:

\(n =5\)

\(\sum xy =4933.5+5194.98+6066.48+5511.24+4892.16 =26598.36\)

\(\sum x =28.6+29.4+32.2+32.4+27.3=149.9\)

\(\sum y =172.5+176.7+188.4+170.1+179.2=886.9\)

\(\sum x^2 =817.96+864.36+1036.84+1049.76+745.29=4514.21\)

\(\sum y^2 =29756.25+31222.89+35494.56+28934.01+32112.64=157520.35\)

Calculate mean of x and y

\(\bar x = \frac{\sum x}{n} = \frac{149.9}{5} = 29.98\)

\(\bar y = \frac{\sum y}{n} = \frac{886.9}{5} = 177.38\)

Calculate SSx and SSy

\(SS_x = \sum (x - \bar x)^2 =(28.6-29.98)^2 + (29.4-29.98)^2 + (32.2-29.98)^2 + (32.4-29.98)^2 + (27.3-29.98)^2 =20.208\)

\(SS_y = \sum (y - \bar x)^2 =(172.5-177.38)^2 + (176.7-177.38)^2 + (188.4-177.38)^2 + (170.1-177.38)^2 + (179.2-177.38)^2 =202.028\)

Calculate \(\sum(x - \bar x)(y - \bar y)\)

\(\sum(x - \bar x)(y - \bar y) = (28.6-29.98)*(172.5-177.38) + (29.4-29.98)*(176.7-177.38) + (32.2-29.98)*(188.4-177.38) + (32.4-29.98)*(170.1-177.38) + (27.3-29.98) *(179.2-177.38) =9.098\)

So:

\(r = \frac{\sum(x - \bar x)(y - \bar y)}{\sqrt{SS_x * SS_y}}\)

\(r = \frac{9.098}{\sqrt{20.208 * 202.028}}\)

\(r = \frac{9.098}{\sqrt{4082.581824}}\)

\(r = \frac{9.098}{63.90}\)

\(r = 0.142\)

Calculate test statistic:

\(t = \frac{r}{\sqrt{\frac{1 - r^2}{n-2}}}\)

\(t = \frac{0.142}{\sqrt{\frac{1 - 0.142^2}{5-2}}}\)

\(t = \frac{0.142}{\sqrt{\frac{0.979836}{3}}}\)

\(t = \frac{0.142}{\sqrt{0.326612}}\)

\(t = \frac{0.142}{0.5715}\)

\(t = 0.248\)

Calculate the degrees of freedom

\(df = n - 2 = 5 - 2 = 3\)

The \(t_{\alpha/2}\) value at:

\(df =3\)

\(t = 0.248\)

\(\alpha = 0.01\)

The value is:

\(t_{0.01/2} = \±5.841\)

This means that we reject the null hypothesis if the t value is not between -5.841 and 5.841

We calculate the t value as:

\(t = 0.248\)

\(-5.841 < 0.248 < 5.841\)

Hence, we do not reject the null hypothesis because they do not appear to have any correlation.

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The current value of his Roth IRA is $215,658.00

What is Roth IRA retirement account?

Roth IRA retirement account is a retirement account where the contributions to the account are invested after taxes after have been deducted.

In other words, when the individual make contributions, taxes are first of all, deducted so as to invest the after-tax contribution into the Roth IRA account

The account lost 1/3 of its original value of $215,658

balance after the loss=$215,658-(1/3*$215,658)

balance after the loss=$ 143,772.00

Now the account regained 1/2 of its new balance of $ 143,772.00

balance now=$143,772.00+(1/2*$143,772.00)

balance now=$215,658.00

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Complete with the missing fractions:

michael wittry has been investing in his roth IRA retirement account for 20 years. Two years ago his account was worth $215,658. after losing 1/3 of its origiInal value, it then gained 1/2 of its new value back, what is the current value of his roth IRA?

The bucket and the jar together will hold (c + d) litres of water.

A linear equation in 2 variables [x and y] is any equation with the form:

ax + by = c and at least one of a or b being non-zero.

This is known as the equation's General Form.

For the given question;

The water hold by bucket = c litres.

The water hold by jar = d litres.

Thus, the water hold by both bucket and jar is is linear equation with two variable c and d.

Total water =  c + d

By, varying any value the total amount of the water will also get change.

Thus, total water hold by jar and bucket is (c + d) litres.

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Answer:

Option 4

Step-by-step explanation:

The domain of this function is the possible values of n that are suitable for this function. Since n represents a number of vehicles, the domain of n should be a whole number (since you cannot have a negative number of vehicles or half of a vehicle).

hope this helps :)

Answer:

Step-by-step explanation:

value of 4, and you want to square it or exponent 2

so 4^2 = 4x4

=16

What is ^-2

It does the same operation however because to is negative it really means putting 4 in the denominator so 2 becomes positive. Inverse of the exponent 2

1/4^2 is the same as 4^-2

which will both give 1/16