Which situation can be modeled by a function?A. Raquel can spend $15 on 1 shirt, $30 on 2 shirts,or $30 on 3 shirts.

B. Bonnie can spend $10 on a shirt, $20 on 2 shirts, and $20 on 3 shirts.

C. Maria can spend $15 on 1 shirt, $15 on 2 shirts, or $30 on 3 shirts.

D. Natalie can spend $15 on 1 shirt, $30 on 2 shirts, or $45 on 3 shirts.

Answers

Answer 1

Answer:

The equation is y = 15x , where y is the total cost of the shirt and x is the number of shirts

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the total cost of the shirt be represented as y

Let the number of shirts be represented as x

Now , the cost of 1 shirt = $ 15

The cost of 2 shirts = $ 30

And , the cost of 3 shirts = $ 45

So , the equation will be y = 15x , where x is the number of shirts

Hence , the equation is y = 15x , where y is the total cost of the shirt

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Answer 2

Answer:

Answer:

Step-by-step explanation:

the simplest form of this equation would be that (x) is the number of shirts and 15 would be your (y). (1)15=15, (2)15=30 and so on.

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Consider the polynomials p(x) = 3x + 27x^2 and q(x)= 2 . Find the x -coordinate(s) of the point(s) of intersection of these two polynomials. What is the sum of these x -coordinates? (If there is only one point of intersection, give the corresponding x -coordinate.)

Can you help me to do this please?Determine the inverse of the h(x)

Answers

Answer:

$h^(-1)(x)=x^3+6x^2+12x+7$

Explanation:

Given the below function;

$h(x)=\sqrt[3]{x+1}-2$

We'll follow the below steps to determine the inverse of the above function;

Step 1: Replace h(x) with y;

$y=\sqrt[3]{x+1}-2$

Step 2: Switch x and y;

$x=\sqrt[3]{y+1}-2$

Step 3: Solve for y by first adding 2 to both sides;

$\begin{gathered} x+2=\sqrt[3]{y+1}-2+2 \n x+2=\sqrt[3]{y+1} \end{gathered}$

Step 4: Take the cube of both sides;

$\begin{gathered} (x+2)^3=(\sqrt[3]{y+1})^3 \n (x+2)^3=y+1 \end{gathered}$

Step 5: Expand the cube power;

Recall;

$(a+b)^3=a^3+3a^2b+3ab^2+b^3$

Applying the above, we'll have;

$\begin{gathered} (x+2)^3=y+1 \n x^3+3x^2\cdot2+3x\cdot2^2+2^3=y+1 \n x^3+6x^2+12x+8=y+1 \end{gathered}$

Step 6: Subtract 1 from both sides of the equation;

$\begin{gathered} x^3+6x^2+12x+8-1=y+1-1 \n x^3+6x^2+12x+7=y \n \therefore y=x^3+6x^2+12x+7 \end{gathered}$

Step 7: Replace y with h^-1(x);

$h^(-1)(x)=x^3+6x^2+12x+7$

What is mZSVT?
Enter your answer in the box.

Answers

Answer:

The measure of ∠SVT is 79°

Step-by-step explanation:

In the given figure

∵ US ∩ RT at V

∴ ∠SVT and ∠UVR are vertically opposite angles

∵ The vertically opposite angles are equal in measures

∴ m∠SVT = m∠UVR

∵ m∠SVT = (5y + 9)°

∵ m∠UVR = (8y - 33)°

→ Equate them

∴ 8y - 33 = 5y + 9

→ Add 33 to both sides

∴ 8y - 33 + 33 = 5y + 9 + 33

∴ 8y = 5y + 42

→ Subtract 5y from both sides

∴ 8y - 5y = 5y - 5y + 42

∴ 3y = 42

→ Divide both sides by 3

∵ $(3y)/(3)$ = $(42)/(3)$

∴ y = 14

→ Substitute the value of y in the measure of ∠SVT

∵ m∠SVT = 5(14) + 9

∴ m∠SVT = 70 + 9

∴ m∠SVT = 79°

∴ The measure of ∠SVT is 79°

Specialty Manufacturing gets 29% of its O-rings from Little Rock Plastics and the rest of its O-rings from Galshus and Sons. Historically 4% of the O-rings it gets from Little Rock Plastics are defective and 10% of the O-rings it gets from Galshus and Sons are defective. An O-ring is found to be defective, what is the probability the O-ring came from Galshus and Sons?

Answers

Answer:

The probability that the O-ring came from Galshus and Sons given that it is defective is 0.359.

Step-by-step explanation:

Probability of getting O-ring from Little Rock Plastics = 0.29

Probability of getting O-ring from Galshus and Sons = 0.71

Probability of getting Defective Rings from Little Rock Plastics = 0.04

Probability of getting Defective Rings from Galshus and Sons = 0.10

Denoting Little Rock Plastics as LRP, Galshus and Sons as GS and Defective as D, we can write:

P(LRP) = 0.29

P(GS) = 0.71

P(D ∩ LRP) = 0.04

P(D ∩ GS) = 0.10

We are given that an O-ring is found to be defective and we need to find the probability that it came from Galshus and Sons so we will use the conditional probability formula for calculating the probability that the O-ring came from Galshus and Sons given that it is defective.

P(GS|D) = P(D ∩ GS)/P(D)

We need to compute P(D) first. So,

P(D) = P(D|GS) + P(D|LRP)

= P(D∩GS)/P(GS) + P(D∩LRP)/P(LRP)

= 0.10/ 0.71 + 0.04/0.29

= 0.1408 + 0.1379

P(D) = 0.2787

P(GS|D) = P(D ∩ GS)/P(D)

= 0.10/0.2787

= 0.3587

P(GS|D) = 0.359

Final answer:

Using Bayes' theorem, the probability that a defective O-ring came from Galshus and Sons is approximately 0.802 or 80.2%

Explanation:

To find the answer to your question, we need to use Bayes' theorem. This theorem refers to the probability of an event, based on prior knowledge of conditions that might be related to the event. First, let us identify the following:
Probability of choosing an O-ring from Little Rock Plastics (L), P(L) = 0.29
Probability of choosing an O-ring from Galshus and Sons (G), P(G) = 1 - P(L) = 0.71
Probability that an O-ring from Little Rock is defective, P(D|L) = 0.04
Probability that an O-ring from Galshus and Sons is defective, P(D|G) = 0.10

By Bayes' theorem, the probability that a defective O-ring came from Galshus and Sons is given by: P(G|D) = [P(G) * P(D|G)] / [P(L) * P(D|L) + P(G) * P(D|G)]

Upon substitution, P(G|D) = [0.71 * 0.10] / [0.29 * 0.04 + 0.71 * 0.10]. This equates to approximately 0.802, or 80.2%, meaning there is a 80.2% chance that the defective O-ring came from Galshus and Sons.

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Cost to store: $140 Markup: 25% The selling price is $ .

Answers

Answer:

$175

Step-by-step explanation:

Cost to store: $140

Markup: 25%

The selling price= $140 + 25% = $140*1.25= $175

Krutika was thinking of a number. Krutika doubles it and gets an answer of 26.5. What was the original number?

Answers

Answer:

2x + 8.7 = 64.9

Step-by-step explanation:

Answer:

13.25

Step-by-step explanation:

Which inscribed angles intercept arc RS?

Answers

Answer:

A. $\angle RPS$

C. $\angle SQR$

Step-by-step explanation:

We have been given a diagram of a circle and we are asked to find the inscribed angles which intercept arc RS.

Since we know that inscribed angles are formed by the intersection of two secant lines in the interior of a circle. The vertex of inscribed angles lies on the circle.

A. Upon looking at our diagram we can see that vertex of angle SQR lies on our given circle and intercepts to arc RS, therefore, option A is the correct choice.

B. We can see that vertex of angle RTS is not on the circle. Since inscribed angle is an angle with its vertex 'on' the circle, therefore, option B is not a correct choice.

C. We can see that vertex of angle RPS lies on our given circle and also intercept to arc RS, therefore, option C is the correct choice.

D. Angle RSP intercepts to arc RQP, therefore, option D is not a correct choice.

The answer is <RPS and <SQR for anyone else who needs the answer.

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