Please help before i fail my assignment, i need to find the point slope form of all five of these graphs

Answer:

8x+7

Step-by-step explanation:

Use the given functions to set up and simplify  

(f+g)(x)

Answer:

8x + 7

Step-by-step explanation:

(f+g)(x)= f(x) +g(x) = 3x + 10 + 5x - 3 = 8x + 7

Yes, you could have found Amy's mass after month 2 by finding 145% of her birth mass. Both Amy and Joe had the same mass of 1.5 kg after two months.

Here's how to do it:

Let the birth mass of Amy and Joe be 1 kg each. After one month, Amy's mass was 25% greater than her birth mass. So, Amy's mass after one month:

1 + 1 × 25/100 = 1.25 kg

After two months, Amy's mass was 20% greater than her mass after one month. So, Amy's mass after two months:

1.25 + 1.25 × 20/100 = 1.5 after one month, Joe's mass was 20% greater than his birth mass. So, Joe's mass after one month:1 + 1 × 20/100 = 1.2 kg

After two months, Joe's mass was 25% greater than his mass after one month. So, Joe's mass after two months:

1.2 + 1.2 × 25/100 = 1.5 kg

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Answer:

11 inches

Step-by-step explanation:

7^2+8^2=c^2

49+64=c^2

113=c^2

square root both side

c=10.63014581

round up and get c=11

hope this helped :)

Answer:

Logarithms cannot have non-positive arguments (which are negative or zero), but quadratics and other equations can have negative solutions.

I hope that helped

If A is a nonzero 5x3 matrix, the maximum possible value of rank(A) would be 3.

The rank of a matrix is the maximum number of linearly independent rows/columns of that matrix. Therefore, as A is a 5 x 3 matrix, the maximum number of linearly independent rows that A could have is 3. Hence, the maximum possible value of rank(A) is 3.

The rank of a matrix can be found by row-reducing the matrix to its echelon form or its reduced row echelon form. After that, the rank is given by the number of nonzero rows in the reduced matrix.

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Answer:

36

Step-by-step explanation:

Let the total number of cotton candy = A

Number of blue cotton candy = 27 cones

Percentage of blue cotton candy = 75%

Therefore, the total number of cotton candy is calculated as:

27/A × 100 = 75%

2700/A = 75

Cross Multiply

75A = 2700

A = 2700/75

A = 36

Therefore, the amount of total cotton candy that we have is 36.

Answer:

it’s c

Step-by-step explanation:

Answer:

A  gallons and a half a minute

Step-by-step explanation:

9 minutes it fills up a gallons and a half

Answer:

Your answer would be the third one

Step-by-step explanation:

Triangle 1 - 73, 45

Triangle 2 - 47, 30

Triangle 1: 105°, 23° and Triangle 2: 52°, 105 are similar.

Option (4) is correct.

A triangle in geometry is a three-sided polygon with three edges and three vertices.

As per the given data:

We are given two angles for each pair of triangles, and we have to find out which of the pair of triangles are similar.

For any two triangles to be similar, it must have 2 angles which are having the same measure.

For, Triangle 1: 55°, 45° and Triangle 2: 55°, 80°

Only one angle is same, hence not similar.

Triangle 1: 103°, 32° and Triangle 2: 103°, 25°

Only one angle is same, hence not similar.

Triangle 1: 73°, 47° and Triangle 2: 47°, 30°

Only one angle is same, hence not similar.

Triangle 1: 105°, 23° and Triangle 2: 52°, 105

By using angle sum property in Triangle 1 the remaining angles is:

= 180 - (105 + 23) = 52°

By using angle sum property in Triangle 2 the remaining angles is:

= 180 - (52 + 105) = 23°

2 angles are same, hence similar.

Triangle 1: 99, 41° and Triangle 2: 40°, 99°

Only one angle is same, hence not similar.

Hence, Triangle 1: 105°, 23° and Triangle 2: 52°, 105 are similar.

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The distance of point from the axis of rotation of the second hand is 8.2 cm.

Here,

A point located on the second hand of a large clock has a radial acceleration of 0.09 cm/s2.

We have to find the distance of point from the axis of rotation of the second hand.

What is Rotation?

The circular motion of an object around the circle is called Rotation.

Now,

Let us consider the equation for the centripetal acceleration given by;

\(a_{c} = \frac{v^{2} }{r}\)

where, v is the velocity and r is the radius.

Now, the velocity can be expressed as;

\(v = wr = \frac{2\pi r}{T}\)

where, ω is the angular velocity and T is the period.

Solving for the radius using these equations given as;

\(a_{c} = \frac{v^{2} }{r}\\\\v^{2} = a_{c} r\\\\(\frac{2\pi r}{T} )^2 = a_{c} r\\\\\frac{4\pi ^{2}r^{2} }{T^{2} } = a_{c} r\\\\r = \frac{T^{2} a_{c} }{4\pi ^{2} } \\\\r = \frac{(60s)^2(0.09 cm/s^2)}{4\pi ^{2} } \\\\r = 8.2 cm\)

Hence, The distance of point from the axis of rotation of the second hand is 8.2 cm.

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Answer:  \(y < -\frac{1}{2}x+3\)

This is the same as writing y < (-1/2)x+3

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

Explanation:

The dashed boundary line goes through (0,3) and (4,1)

Apply the slope formula for those two points

m = (y2-y1)/(x2-x1)

m = (1-3)/(4-0)

m = -2/4

m = -1/2

The slope of the dashed line is -1/2. The y intercept is 3. So we go from y = mx+b to y = (-1/2)x+3 to represent the equation of the dashed line. This is the same as writing \(y = -\frac{1}{2}x+3\)

We shade below the dashed line to represent the inequality \(y < -\frac{1}{2}x+3\). Points in the shaded region are solutions to the inequality. One example point is (0,0).

Note that we don't have "or equal to" as part of the inequality sign because we are not including points on the boundary. A solid line, rather than a dashed line, would include points on the boundary.

Answer:

$4500

Step-by-step explanation:

Strategy

Joe needs the rooms he's already reserved plus the additional rooms to be at least 505050. We can represent this with an inequality whose structure looks something like this:

\left( \text{rooms already reserved} \right) + \left( \text{additional rooms} \right) [\leq \text{or} \geq] \,50(rooms already reserved)+(additional rooms)[≤or≥]50left parenthesis, start text, r, o, o, m, s, space, a, l, r, e, a, d, y, space, r, e, s, e, r, v, e, d, end text, right parenthesis, plus, left parenthesis, start text, a, d, d, i, t, i, o, n, a, l, space, r, o, o, m, s, end text, right parenthesis, open bracket, is less than or equal to, start text, o, r, end text, is greater than or equal to, close bracket, 50

Then, we can solve the inequality for BBB to find how many additional blocks Joe needs to reserve.

Hint #22 / 4

1) Which inequality?

Joe has already reserved and paid for \blueD{16}16start color #11accd, 16, end color #11accd rooms.

Each blocks has 888 rooms, and BBB represents the number of additional blocks, so the number of additional rooms from these blocks is \greenD{8B}8Bstart color #1fab54, 8, B, end color #1fab54.

The number of rooms he's already reserved plus the additional rooms needs to be \maroonD{\text{greater than or equal to }} 50greater than or equal to 50start color #ca337c, start text, g, r, e, a, t, e, r, space, t, h, a, n, space, o, r, space, e, q, u, a, l, space, t, o, space, end text, end color #ca337c, 50 rooms.

\begin{aligned} \left( \blueD{\text{rooms already reserved}} \right) &+ \left( \greenD{\text{additional rooms}} \right) [\leq \text{or} \geq] \,50 \\\\ \blueD{16}&+\greenD{8B} \maroonD{\geq} 50 \end{aligned}

(rooms already reserved)

16

​

+(additional rooms)[≤or≥]50

+8B≥50

​

Hint #33 / 4

2) How many additional blocks does Joe need?

Let's solve our inequality for BBB:

16+8B

8B

B

​

≥50

≥34

≥4.25

​

​

Subtract 16

Divide by 8

​

Since he can't reserve partial blocks, Joe needs to reserve 555 additional blocks. And each block costs \$900$900dollar sign, 900, so buying 555 additional blocks costs 5 \cdot \$900=\$45005⋅$900=$45005, dot, dollar sign, 900, equals, dollar sign, 4500.

[Let's check our solution]

Hint #44 / 4

Answers

1) The inequality that describes this scenario is

16+8B \geq 5016+8B≥5016, plus, 8, B, is greater than or equal to, 50

2) Joe needs to spend \$4500$4500dollar sign, $4500 on additional rooms.

Answer:

y=-1x-1

Step-by-step explanation:

it should be this

Answer:

D. y+1=3(x+1)

Answer:

9

3 different sizes times 3 different flavors.

3x3=9

Answer: 1.6 a decimal number

Step-by-step explanation: 5 ÷ 3 = 1.6

Or 1 foot and 6 inches

Answer:

x+150+77+48=360

x+275=360

x=85

Step-by-step explanation:

Option b . The slope of line CD is 4/3 is the correct answer.  The lines AB and CD are hypotenuse of a similar triangle there slopes are equal. Other features of a similar triangle applies too.

Triangles are said to be similar when there corresponding angles and sides are congruent. Typically, the proportions of the corresponding sides are equal sides are equal.

Hence similar triangles has equal slope since the slope is a proportion of corresponding sides. The angles are also equal.

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complete question

These triangles are similar. The equation for line AB is given. What is the slope of line CD?

A. The slope of line CD is 5.

B. The slope of line CD is 4/3.

C. There is not enough information to find the slope of line CD.

Answer: y = 3x + 1

Hope that helps!

Answer:

192 unit³

Step-by-step explanation:

The number of unit cones required t make a rectangular prism of the dimension given is obtained by calculating the volume of the rectangular prism:

Height, h = 8 unit³

Width, w = 4 unit³

Length = 6 unit³

The volume of the rectangular Prism is given as :

Volume = Length * width * height

Volume = (6 * 4 * 8) unit³

Volume = 192 unit³

Answer:

7

Step-by-step explanation:

\(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

\(\sqrt{((-1)-6)^{2} +(8-8)^{2} }\)

simplify to get 7 as answer

The distance between (6,8) and (-1,8) is 7.

It is required to find the distance between each points.

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

By the use the distance formula to find the distance between (6,8) and (-1,8).

∵The distance between two points is given by

=\(\sqrt{(x_{2}-x_{1} )^{2}+ (y_{2}-y_{1} )^{2} } \\\\\)

Distance between the point (6,8) and origin(-1,8) =

\(\sqrt{(-1-6 )^{2}+ (8-8 )^{2} } \\\\=\sqrt{(-7 )^{2}+ (0 )^{2} }\\\\=7\)

Hence, the distance between (6,8) and (-1,8) is 7.

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The solution is 4 days

The number of days Maria can rent the car is given by the inequality equation 42n < 200 where n is the number of days

The value of n = 4 days

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Let the number of days be = n days

The total amount budgeted by Maria when flying to California = $ 200

The amount required to rent the car per day = $ 42 per day

Now , the total amount for renting the car for n days = amount required to rent the car per day x number of days

Substituting the values in the equation , we get

The total amount for renting the car for n days = 42n

Now , the maximum number of days Maria can rent the car is given by the inequality equation A

42n < 200

Divide by 42 on both sides of the equation , we get

n < 4.76

On approximating the inequality , we get

n < 4 days

Therefore , the value of A is 4 days

Hence , The number of days Maria can rent the car is 4 days

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68% of the population will have a height within the range of 69 inches to 75 inches. None of the provided options match this range.

In a normal distribution, approximately 68% of the values fall within one standard deviation of the mean.

Given:

mean height = 72 inches  

standard deviation = 3 inches,

We can determine the range within which 68% of the population's heights will fall.

To calculate this range, we subtract and add one standard deviation from the mean:

Lower bound: Mean - Standard Deviation

= 72 - 3

= 69 inches

Upper bound: Mean + Standard Deviation

= 72 + 3

= 75 inches

Therefore, 68% of the population will have a height within the range of 69 inches to 75 inches.

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The correct basis step for proving the statement P(n) using strong induction is to show that P(8) is true

Strong induction is a method of proving that a statement is true for all values of n by demonstrating that it is true for a base case and that if it is true for all values up to n, then it must also be true for n+1. It can be used to prove the statement P(n) that a postage of n cents can be formed using only 3-cent stamps and 5-cent stamps.

To demonstrate that P(8) is true is to do the proper basis step for strong induction. This is so that we may create an 8 cent postage using a 3-cent and a 5-cent stamp.

The following argument can be used to demonstrate that the basic step is P(8) being true:

A postage of 8 cents can be made with one 3-cent stamp and one 5-cent stamp.

Thus, P(8) must be true.

We don't need to check any other values for the base step because P(n) only depends on the values of P(k), where k n.

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Considering the technological advancement of the cell phone, customers perceive its value to be around $800. In this scenario, the economic value created is $450.

We can solve this by,

Cost: The expenses incurred by a firm while producing goods or providing services are known as cost.

Product: The item that is produced, processed, or delivered for sale is known as a product.

Value: The economic value of a product is determined by how much it is valued in the marketplace, which is a function of how much people are willing to pay for it. In the given scenario,

          Talkalot Corp. Incurs a cost of $350 to produce one unit of a cell phone. The company's management has priced the product at $600 in the market. Considering the technological advancement of the cell phone, customers perceive its value to be around $800.

       As per the scenario, the value created is:

          The value created = Perceived value - Cost Value created

                                          = $800 - $350

          The value created = $450

  Therefore, the economic value created in this scenario is $450.

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The cost of the wall paper per square feet is 0.72 dollars.

The wall paper is rectangular in shape. The dimension of the wall paper is 42 feet by 25.5 feet.

The total cost of the wall paper is 771.12 dollars. Therefore, let's find the cost per square ft.

Hence,

area of the wall paper = 42 × 25.5

area of the wall paper = 1071 ft²

Therefore,

1071 ft² =  771.12 dollars

1 ft² = ?

Hence,

cost per square feet = 771.12  / 1071

cost per square feet = 0.72 dollors

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Based on the analyzed data from more than 5,000 adults, researchers found that the more diet sodas a person drank, the greater the person's weight gain.

But it is not true that drinking diet soda causes weight gain.

The causal link between drinking diet soda and weight gain is not established. People who drink diet soda may be consuming more calories and sugars from other sources or may be leading an unhealthy lifestyle that results in weight gain.

the artificial sweeteners used in diet soda may interfere with the body's natural ability to regulate calorie intake, leading to increased cravings for high-calorie foods and, ultimately, weight gain. However, more research is needed to understand the impact of artificial sweeteners on weight gain fully.

Therefore, it can be concluded that drinking diet soda does not directly cause weight gain. Instead, a healthy lifestyle and balance between calorie intake and energy expenditure is necessary to maintain a healthy weight.

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There are 5 full square and 6 triangles that are half squares.

      5 + (6)(1/2) = 5 + 3 = 8

You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area.  But counting works well in this example.

Answer: 8

Step-by-step explanation:

First you split up this shape into two different shapes, a triangle and trapezoid

Put a line through the coordinates (-2,2) to  (-1,2); the top is a triangle and the other is a trapezoid

Area of the trapezoid is A = .5x (base1 + base2) x height

base1 of the trapezoid goes from -4 to -1 which is 3

base2 goes from -2 to -1 which is 1

height is 0 to 2 whcich is 2

A = .5 x (3+1) x 2 = 4

Now area of a triangle is A = .5 x base x height

the base goes from -2 to 2 which is 4

the height goes from 2 to 4 which is 2

A = .5 x (4) x (2) = 4

Area of the Trapezoid + Area of the Triangle = Total Area

4 + 4 = 8