A marketing company is designing a new package for a box of cereal. They have determined that the function C(x) = 4.5 x2 models the cost of a box with side lengths as shown (measured in inches).
Identify a reasonable domain and range for the function.

Answer:

-4

Step-by-step explanation:

5 * -2 = -10 + 6 = -4

Answer:

x = -11/2 , y = -1/6

Step-by-step explanation:

Given:

[tex]\begin{bmatrix}-x-3y=6\\ 2x+3=-8\end{bmatrix}[/tex]

Solve:

[tex]\mathrm{Substitute\:}x=-\frac{11}{2}[/tex]

[tex]\begin{bmatrix}-\left(-\frac{11}{2}\right)-3y=6\end{bmatrix}[/tex]

[tex]Simplify[/tex]

[tex]\begin{bmatrix}\frac{11}{2}-3y=6\end{bmatrix}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=-\frac{11}{2},\:y=-\frac{1}{6}[/tex]

Hence, x = -11/2 , y = 1/6

~Learn with Lenvy~

Answer:

5x=15. I hope it can help you a lots. thanks.

Step-by-step explanation:

5x=14+1

5×=14.

Answer:

48 degree

Step-by-step explanation:

Angle EFD=Angle EGD=42 degree

Angle EFG=90 degree

Angle DFG=Angle EFG- Angle EFD=90 degree-42 degree=47 degree

Answer:

m∠DFG = 48°

Step-by-step explanation:

Angles in a semicircle Theorem

The angle at the circumference in a semicircle is 90°

Therefore, if EOG is the diameter of the circle, then
m∠EDG and m∠EFG are both 90°

As the sum of the interior angles of a triangle is 180°

m∠EDG + m∠EGD + m∠DEG = 180°

⇒ 90° + 42° + m∠DEG = 180°

⇒ m∠DEG = 48°

As the angles at the circumference subtended by the same arc are equal, (i.e. angles in the same segment are equal) then
m∠DFG = m∠DEG = 48°

The random selection of a blue marble is an illustration of probability

You should expected to pull a blue marble 10 times

The given parameters are:

Blue = 16

Red = 12

Green = 12

The total number of marbles is:

Total = 16 + 12 + 12

So we have:

Total = 40

The probability of selecting a blue marble is:

[tex]P(Blue) = \frac{16}{40}[/tex]

When 25 marbles are selected, the expected number of blue is:

[tex]Blue = n * P(Blue)[/tex]

So, we have:

[tex]Blue = 25 * 16/40[/tex]

[tex]Blue = 10[/tex]

Hence, the expected number of blue marbles is 10

Read more about expected values at:

https://brainly.com/question/15858152

The nth term Tn = n - 12 illustrates an arithmetic progression

The sum of the first 25 terms is 25

The nth term is given as:

Tn = n - 12

Calculate the first term

a = 1 - 12

a = -11

Calculate the second term

T2 = 2 - 12

T2 = -10

Calculate the common difference (d)

d = T2 - a

d = -10 + 11

d = 1

The sum of n terms is then calculated as:

Sn = n/2(2a + (n - 1) * d)

So, we have:

S25 = 25/2(-2 * 11 + (25 - 1) * 1)

Evaluate

S25 = 25

Hence, the sum of the first 25 terms is 25

Read more about arithmetic progression at:

https://brainly.com/question/6561461

Answer:

5 years

Step-by-step explanation:

by year five they both had the same amount

400-35=365

do that 5 times

225

100+25=125

do that 5 times

225

Answer:

a. House hold laundry

b. Beverages

c. Snacks

Step-by-step explanation:

Do mark brainliest.

#a

For branch A

For branch B

#b

For branch A

For branch B

#c

Branch A

Branch B

Branch B performed better

Answer:

36

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Factorization of the following.

6=3×2×1

8=2×2×8×1

Since, The common factor is 2.This implies that

H.C.F=2

Answer: 12 units

Step-by-step explanation:

If you graph them on a graph you count the units between them and that is your anwser.

Answer:

12 units

Step-by-step explanation:

calculate DG using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2 -y_{1} } )^2[/tex]

with (x₁, y₁ ) = D (8, 3 ) and (x₂, y₂ ) = G (- 4, 3 )

DG = [tex]\sqrt{(-4-8)^2+(3-3))^2}[/tex]

     = [tex]\sqrt{(-12)^2+0^2}[/tex]

     = [tex]\sqrt{144+0}[/tex]

    = [tex]\sqrt{144}[/tex]

    = 12

The factor the given polynomial are 2,(x+4),(x-5).

We have given that the equation,

[tex]2x^2 -2x -40[/tex]

Factoring a polynomial is expressing the polynomial as a product of two or more factors.

We can factor out a 2.

[tex]2(x^2 - x - 20)[/tex]

Now, we can write down the 2 and factor the [tex](x^2 - x - 20)[/tex].

[tex](x^2-x - 20)=x^2-5x+4x-20\\ =x(x-5)+4(x-5)\\ =(x+4)(x-5)[/tex]

[tex]f(x)=2x^2 -2x -40=2(x^2 - x - 20)=2(x+4)(x-5)[/tex]

Therefore, the factor the given polynomial are 2,(x+4),(x-5).

To learn more about the factor visit:

https://brainly.com/question/25829061

Step-by-step explanation:

x + y = 24

2x - y=21

I'm guessing the question was find both numbers.

3x = 35

x=15

3y = 27

y=9

Answer:

D Because other options do not have integration constants

Answer:

The answer is b) 3y-4

Step-by-step explanation:

Answer:

[tex]4x + 6y^{3} x^{2}[/tex]

Step-by-step explanation:

Simplify

The range of the provided inverse sine function in terms of x, and y y = sin-1x is [-π/2, π/2].

Range of a function is the set of all the possible output values which are valid for that function.

The trigonometry function given in the problem is,

[tex]y = \sin^{-1}x[/tex]

The above function can be written as,

[tex]\sin y = x[/tex]

The above function is the arc of sine function. The domain of arc of sine ranges from -1 to 1.

[tex]-1\leq x\leq1[/tex]

This is the domain of the inverse of sine function. In the attached image below, the graph of inverse sine function is plotted. The range of this function is,

[tex]-\dfrac{\pi}{2}\leq x\leq\dfrac{\pi}{2}[/tex]

Thus, the range of the provided inverse sine function in terms of x, and y y = sin-1x is [-π/2, π/2].

Learn more about the range of the function here;

https://brainly.com/question/2264373

Answer:

C {-pi/2,-pi/2}

Step-by-step explanation:

Answer:

Latisha rode 16 rides

Step-by-step explanation:

Look at picture attached. Have a blessed night!

Just slope intercept formula (y=mx+b). X represents the number of rides so you will need to myltiply that by $2.50. $9 is a one time fee so that would be of the b of the equation. That all equals the total Latisha piaid, $49. Then solve like so.

there you goo :)) on the chain up on the left from 3 to 48 they keep multiplying by 2, and the other one, they keep subtracting by 7

Answer:

Step-by-step explanation:

We can use the interest equation (mind you it is the same thing as said in the problem) to solve this:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where A is the resulting amount, r is the interest rate, n is the number of times compounded per year and t is the time.

[tex]A=1209(1+\frac{.082}{12} )^{12*26}[/tex]

A = $10,120.29

Step-by-step explanation:

class 6 to 8 students come here I will give you notes class is started come here fast I am waiting come with your name and class i am also girl come please please please please please please

Answer:

148°or 4x

Step-by-step explanation:

For a four sided Polygon (quatrilateral) the measure of four angles=360

Therefore,

2x+3x+4x +(x -10)=360

9x+x-10=360

10x-10=360

10x=360+10

10x=370

x=37

Therefore all angles are

74, 111, 148, 27

Therefore, largest angle = 148°

Answer:

i don't really know but I love pizza

Answer:

1,2,3

Step-by-step explanation:

1*8=8+4+12<28

2*8=16+4=20<28

3*8=24+4=28=28

Answer: 25%

Step-by-step explanation: the probability of drawing blue=5/20

divide 5 by 20= .25 then make .25 into a %:25% (you just move the decimal to the right twice)

car is travelling faster

22 - 18 = 4 meter per second

hope it helps...!!!

Answer:

Step-by-step explanation:

2) definition of angle bisector

4) division property of equality

5) division property of equality

6) substitution property

7) SAS similarity

Using the normal distribution, it is found that the probability is 0.16.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given by, respectively, [tex]\mu = 70, \sigma = 3[/tex].

The proportion of students between 45 and 67 inches is the p-value of Z when X = 67 subtracted by the p-value of Z when X = 45, hence:

X = 67:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{67 - 70}{3}[/tex]

Z = -1

Z = -1 has a p-value of 0.16.

X = 45:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{45 - 70}{3}[/tex]

Z = -8.3

Z = -8.3 has a p-value of 0.

0.16 - 0 = 0.16

The probability is 0.16.

More can be learned about the normal distribution at https://brainly.com/question/24663213

Answer:

B

Step-by-step explanation:

sames sides same angle

180=90+2x

180-90=2x

90=2x

x=45