Based on the graph, what is the initial value of the linear relationship?

A coordinate plane is shown. A line passes through the y-axis at -2 and the x-axis at 3.

−2
0
two over three
3
Question 4(Multiple Choice Worth 4 points)
(05.05)Which scenario best matches the linear relationship expressed in the equation y = 32x + 80?

Joseph has $80 in his bank account and spends $32 each day.
Joseph has $80 in his bank account and earns $32 each day.
Joseph had $32 in his bank account and deposited another $80.
Joseph has $32 in his bank account and earns $80 each day.
Question 5(Multiple Choice Worth 4 points)
(05.05)David and Amanda are trying to figure out how long they can live off their $12,350 savings if they spend $240 each month. They have each created an equation.


David’s Equation Amanda’s Equation
y = 12,350 – (240x) y = 12,350 + (240x)


Which person has the correct equation to model this linear relationship?
Amanda’s equation is correct, because their spending will be multiplied by the number of months and then added to their savings.
Amanda’s equation is incorrect, because their spending will increase the amount of their savings.
David’s equation is correct, because their spending will be multiplied by the number of months and then subtracted from their savings.
David’s equation is incorrect, because their spending should be a fixed amount and should not be multiplied.
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Validation of the model and answering the question "what are my options" occur in the design phase of the IDC (Intelligence, Design, and Choice) framework.

The IDC framework is a decision-making process that consists of three phases: Intelligence, Design, and Choice. Each phase corresponds to a specific set of activities and objectives.

In the intelligence phase, the focus is on gathering information, identifying the problem or decision to be made, and understanding the factors and variables involved. This phase involves data collection, analysis, and exploration to gain insights and knowledge about the problem domain.

In the design phase, the emphasis is on developing and evaluating potential options or solutions to address the problem or decision at hand. This phase involves creating models, prototypes, or simulations to represent the problem and exploring different alternatives.

Validation of the model is an important aspect of this phase to ensure that the proposed solutions align with the problem requirements and objectives.

The question "what are my options" is a fundamental question that arises during the design phase. It implies the exploration and generation of various possible choices or solutions that can be evaluated and compared.

Therefore, the design phase of the IDC framework encompasses the activities of validating the model and answering the question "what are my options." It involves refining and testing potential solutions to make informed decisions in the subsequent choice phase.

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Step-by-step explanation:

It dawned on me that if the coefficient of the x term is even, completing the square is much easier as can be seen here. The quadratic formula is simply completing the square as a compact expression, but when the coefficient of the x term is even, completing the square just seems cleaner.

True, free bilirubin is transported by the blood to the liver.

Macrophages begin the disposal of hemoglobin by separating the heme from the globin. They hydrolyze the globin into free amino acids, which can be used for energy-releasing catabolism or recycled for protein synthesis.

Bilirubin

Bilirubin is a red-orange compound that occurs in the normal catabolic pathway that breaks down heme in vertebrates. This catabolism is a necessary process in the body's clearance of waste products that arise from the destruction of aged or abnormal red blood cells.

Hemoglobin

Hemoglobin is a protein in your red blood cells that carries oxygen to your body's organs and tissues and transports carbon dioxide from your organs and tissues back to your lungs.

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Answer: y = 3x is your answer in Edg

Step-by-step explanation:

Answer:

The answer is y=3x i just got it right

Step-by-step explanation:

sorry if i'm to late :)

Answer:

29 and 51

Step-by-step explanation:

29 and 51 are prime because the only factors of them are the numbers themselves and 1.

29/1 = 29        51/1 = 51

The composite numbers are 33, 65, and 70 because they have more than one factor.

33/3 = 11     65/5 = 13  70/10 = 7

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You would need to wait approximately 51.33 years from now to grow your initial investment of $39,000 to $174,000 at an interest rate of 10% per year.

To calculate the number of periods (years) required to grow an initial investment to a desired future value, we can use the formula for compound interest:

FV = PV * \((1 + r)^n\)

Where:

FV is the future value

PV is the present value (initial investment)

r is the interest rate per period

n is the number of periods

In this case:

PV = $39,000

FV = $174,000

r = 10% per year

Let's calculate the number of periods (years):

FV = PV * \((1 + r)^n\)

174,000 = 39,000 * \((1 + 0.10)^n\)

Divide both sides by 39,000:

4.4615 = \((1.10)^n\)

Take the logarithm of both sides to solve for n:

log(4.4615) = n * log(1.10)

n ≈ log(4.4615) / log(1.10)

n ≈ 2.1270 / 0.0414

n ≈ 51.33 (rounded to two decimal places)

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Step-by-step explanation:

The definite integral of the function (2x - 3) with respect to x can be found using the antiderivative, also known as indefinite integration.

The antiderivative of (2x - 3) is:x^2 - 3x + C, where C is the constant of integration.

For the definite integral, we need to find the antiderivative over a given interval. To calculate the definite integral, we need to evaluate the antiderivative at the limits of the interval and subtract the values.So, for example, if the interval is from a to b, the definite integral is given by:∫_a^b (2x - 3) dx = (x^2 - 3x) |_a^b = (x^2 - 3x) evaluated at b - (x^2 - 3x) evaluated at a.The definite integral of the function y³ (2y² – 3) with respect to y can be found in a similar way. The antiderivative of y³ (2y² – 3) can be found using power rule of integration.The antiderivative of y³ (2y² – 3) is:(1/4) y⁴ - 3y² + C, where C is the constant of integration.The definite integral of the function can then be found by evaluating the antiderivative at the limits of the interval and subtracting the values, as described above.

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Answer:

The chemical formula of Ammonium nitrate is NH4NO3. It consists of 2 nitrogen atoms, 3 oxygen atoms and 4 hydrogen atoms

Step-by-step explanation:  2.4088 x 10^24 atoms of H. Explanation: +5. how many hydrogen atoms are in one mole of CuNH4Cl3. 1 MOLECULE of CuNH4Cl3 contains 4 H

2.4088 x 10^24 atoms of H

The value of x in the given angles of the intersecting lines is determined as 25.

The value of x is calculated as follows;

The measure of angle 1 is equal to the measure of angle 2 because vertical opposite angles are equal.

∠1 = ∠2 (vertical opposite angles are equal)

3x + 37 = 5x - 13

Collect similar terms and solve for x as follows;

3x - 5x = -13 - 37

-2x = -50

Divide both sides of the equation by 2;

2x = 50

x = 50/2

x = 25

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The complete question is below:

the drawing shown contains the intersection of two lines the measure of ∠1=3x+37 and the measure of ∠2=5x-13. Find the value of x.

Answer:

#1. 7 hours.

#2. 6 hours.

Step-by-step explanation:

#1. Oceanside Bike Rental Shop charges 13 dollars plus 6 dollars an hour for renting a bike. Jason paid 55 dollars to rent a bike. How many hours did he pay to have the bike checked out?

55-13 = 42

42/6 = 7

#2. Oceanside bike rental shop charges 18 dollars plus 6 dollars an hour for renting a bike. Jason paid 54 dollars to rent a bike. How many hours did he pay to have the bike checked out?

54-18 = 36

36/6= 6

Answer:

A person will pay $2.31 for a 1.7 pound of banana.

Step-by-step explanation:

1.7 pounds of bananas x $1.36 per pound = $2.31

The area of the rose garden is 98π + 896 square feet.

The area is the amount of area occupied by an object's flat (2-D) surface or shape.

Given:

A rose garden is formed by joining a rectangle and a semicircle, as shown below.

The radius of the semicircle is 28/2 = 14 feet.

The rectangle is long 32ft and 26ft wide.

The area of the garden,

= area of the semicircle + area of the rectangle

= π(14 x 14)/2 + (28 x 32)

= 98π + 896 square feet.

Therefore, the area is 98π + 896 square feet.

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Answer:

F

Step-by-step explanation:

she spins it 2 times and there's 4 different spinners on the board

there's 1 * on the board so

* = 1/4

there's 1 & on the board so

& = 1/4

its 1/4 for both

so 1/4 + 1/4 = 2/8 or .25

2/8 = 1/4

Answer:

f

Step-by-step explanation:

Answer:

options c

Step-by-step explanation:

option c. 56 student takes french

The probability that a student takes French is 0.75.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

From the given information:

P(S∩F) = 0.24 (the probability that a student takes both Spanish and French)

P(S|F) = 0.32 (the probability that a student takes Spanish given that the student takes French)

We can use the formula for conditional probability to find P(F):

P(S|F) = P(S∩F) / P(F)

Substituting the given values:

0.32 = 0.24 / P(F)

P(F) = 0.24 / 0.32

P(F) ≈ 0.75

Therefore, the probability that a student takes French is 0.75.

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Answer:

Part A: 8 meters

Part B: B, D

Step-by-step explanation:

Answer:

The length of side x is 22.91

Step-by-step explanation:

As per law of cosine

\(X = \sqrt{a^2 + b^2- 2*a*bcos\gamma}\)

Where

\(gamma = 56\) degrees

a = 20

b = 27

Substituting the given values in above equation, we get -  

\(X = \sqrt{20^2 + 27^2 - 2*20*27*cos 56} \\X = 22.91\)

Hence, the length of side x is 22.91

The statements that are true include the following:

B. Both graphs are exponential function.

C. Both graphs have exactly one asymptote.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x) = a(b)^x\)

Where:

In Mathematics and Geometry, a horizontal asymptote is a horizontal line (y = b) where the graph of a function approaches the line as the input values (domain or independent value) approach negative infinity (-∞) to positive infinity (∞).

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Answer:

5. 26

6. 11

7. 5, 3, 9, 5 (left to right)

Step-by-step explanation:

5. Plug in the numbers

6. 2x+9=31, 2x=22, x=11

7. Plug numbers in

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Answer:

5. 26

6. 11

7. 5, 3, 9, 5 (left to right)

Step-by-step explanation:

5. Plug in the numbers

6. 2x+9=31, 2x=22, x=11

7. Plug numbers in

Step-by-step explanation:

Answers:

Note: 3/4 = 0.75

====================================================

Explanation:

The first thing we need to do is solve that given equation for y

4x+3y = 3

3y = 3-4x

3y = -4x+3

y = (-4x+3)/3

y = (-4x)/3 + 3/3

y = (-4/3)x + 1

This last equation is in slope intercept form, y = mx+b, where,

These m and b values are not the final answer unfortunately, as we have yet to determine anything about the perpendicular line. However, it helps us build toward the answer.

We'll focus on the slope.

Apply the negative reciprocal to -4/3 to get 3/4. We flip the fraction and the sign from negative to positive.

This means the perpendicular slope is 3/4 and this value goes in the first box.

-----------------------------

From here, we'll use the fact that the perpendicular line goes through the point (x,y) = (5,3)

i.e. we have x = 5 and y = 3 pair up together.

Use that perpendicular slope we found earlier to say,

y = mx+b

3 = (3/4)*5 + b

3 = 15/4 + b

3 - 15/4 = b

12/4 - 15/4 = b

(12-15)/4 = b

-3/4 = b

b = -3/4 is the y intercept of the perpendicular line

Answer:

y = 3/4 x -3

Step-by-step explanation:

4 x + 3y = 3

3y = -4x + 3

y = -4/3x + 1

~~~~~~~~~~~~~~~~~~~~~~~

y = 3/4 x + b

3 = 3/4(5) + b

12 = 15 + b

B = -3

1) We were told to look for the dimension of the bookshelf space which are the Length and Width.

Since we have 5numbers of the 3ft and 6numbers of the bookshelf,

Therefore, the Length= 3(5+2x)ft.

Since the width of the bookshelf space consists of 2numbers of the bookshelf,

Therefore, the Width= 2(x+4)ft.

Therefore, the dimensions of the bookshelf space are given below:

Length=3(5+2x)ft

Width=2(x+4)ft.

2) Area of the bookshelf space= Length×width

The area of the bookshelf space is 20x²+110x+120.

The sets are subset is True.

Let A, B and C be three sets. If A ∈ B and B ⊂ C, then it is true that A ⊂ C.

It is so because B is a subset of C and A is an element of B, so A is also an element of C.

Let's prove this by taking an example.

Suppose we have three sets A, B, and C, such that:

A = {1, 2}B = {1, 2, 3, 4}C = {1, 2, 3, 4, 5, 6}

Now, as we know that A ∈ B and B ⊂ C, we can conclude that A ⊂ C.

The reason being that the element of A is present in set B which is a subset of C, therefore, the element of A is also present in set C.

Therefore, A ⊂ C is true.

Now, if we take another example:

Suppose we have three sets A, B, and C, such that:

A = {a, b}B = {a, b, c, d}C = {e, f, g}

Now, as we know that A ∈ B and B ⊂ C, it is not true that A ⊂ C.

The reason being that neither A nor B is a subset of C, therefore, A cannot be a subset of C.

Therefore, A ⊂ C is false.

So, the answer is yes, A ⊂ C if A ∈ B and B ⊂ C.

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Answer:

(-8,-10)

Step-by-step explanation:

Rewrite (x+8)2(x+8)² as (x+8)(x+8).

f(x)=3((x+8)(x+8))−10

Expand (x+8) (x+8) using the FOIL Method.

Apply the distributive property.

f(x)=3(x(x+8)+8(x+8))−10

Apply the distributive property.

f(x)=3(x⋅x+x⋅8+8(x+8))−10
Apply the distributive property.

Simplify and combine like terms.

Simplify each term.

Multiply x by x.

f(x)=3(x2+x⋅8+8x+8⋅8)−10

Move 8 to the left of x.

f(x)=3(x2+8⋅x+8x+8⋅8)−10

Multiply 8 by 8.

f(x)=3(x2+8x+8x+64)−10

Add 8x and 8x.

f(x)=3(x2+16x+64)−10

Apply the distributive property.

f(x)=3x2+3(16x)+3⋅64−10

Simplify.

Multiply 16 by 3.

f(x)=3x2+48x+3⋅64−10

Multiply 3 by 64.

f(x)=3x2+48x+192−10

Subtract 10 from 192.

f(x)=3x2+48x+182

The minimum of a quadratic function occurs at x=\(-\frac{b}{2a}\) If a is positive, the minimum value of the function is f (\(-\frac{b}{2a}\)).

Substitute in the values of aa and b.

x=−\(\frac{48}{2(3)}\)

x=-8

Replace the variable x with −8 in the expression.

f(−8)=3(−8)2+48(−8)+182

Y=-10

Therefore, the minimum value is (-8,-10) but if it is asking for just the y-value it would be -10.

To convert a fraction into a decimal you have to divide the numerator by the denominator. For example, to convert 39/8, you need to divide 39 by 8, which is equal to 4.875.

Answer: i think its x = 3

Answer:

x + 20°​ = 35.56​​°

3x + 10​​° = 56.68°

5x + 10​° = 87.8°

Step-by-step explanation:

Assume;

Given measures are angle of a triangle

x + 20°​

3x + 10​°​

5x + 10​°

Find:

Value of each angle

Computation:

We know that, sum of all interior angle in a triangle is 180°​

So,

We say that

x + 20°​  + 3x + 10​°​  + 5x + 10°​ = 180°

9x + 40° = 180°

9x = 140°

x = 15.56°

So,

x + 20°​ = 15.56 + 20 = 35.56​​°

3x + 10​​° = 3(15.56) + 10 = 56.68°

5x + 10​° = 5(15.56) + 10 = 87.8°

Answer:

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