A linear function contains the following points.What are the slope and y-intercept of this function?

Using the first point given in the statement you can find a, like this

Now, since you already have the value of a, you can find the value of b using the second point, like this

Therefore, the exponential function that passes through the points (0,18) and (3,6174) is

Solution

- We are given the two functions below:

- We are asked to find u(w(-3)).

- In order to find u(w(-3)), we need to first find u(w(x)) and then we can substitute x = -3.

- Since we have been given u(x), then, it means that we can find u(w) as follows:

- But we have an expression for w in terms of x. This means that we can say:

- Now that we have an expression for u(w(x)), we can proceed to find u(w(-3)) as follows:

Final Answer

The answer is

1 Pine- apple equal to 9 Apples.

The divisional comparison of two quantities yields a ratio, and the equality of two ratios yields a proportion.

A ratio is commonly written as "x: y," though it can also be read as "x is to y" or "x/y."

In terms of comparison, a proportional equation says that two ratios are equal.

When x: y: z: w is used to represent a ratio, it is understood to mean that x is to y as z is to w.

In this case, w and Y are not equal to 0, therefore x/y Equals z/w.

6 Apples = 4 Pomegranates

6 Pomegranates = 1 Pine- apple

1 Pine- apple = 9 Apples.

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Answer:

• (a)X ~ N(16, 5)

• (b)0.4207

• (c)19.37 days

Explanation:

(a)

• The mean amount of time = 16 days

• The standard deviation = 5 days.

Therefore, the distribution of X is:

(b)P(X>17)

To find the required probabability, recall the z-score formula:

When X=17

Next, find the probability, P(x>0.2) from the z-score table:

The probability that a randomly selected person with a kidney stone will take longer than 17 days to pass it is 0.4207.

(c)The upper quarter is the value under which 75% of data points are found.

The z-score associated with the 75th percentile = 0.674.

We want to find the value of X when z=0.674.

The minimum number for the upper quarter of the time to pass a kidney stone is 19.37 days.

If he paid $57 monthly for 14 months, the total amount paid is:

He paid $798 in total

From the triangles ∠ABC ≅ ∠MNP.

Given we have two triangles ABC and PNM

Both triangles have same shape but different angles.

we need to find ∠ABC ≅ ?

we can notice that :

∠A ≅ ∠M

∠B ≅ ∠N

∠C ≅ ∠P

hence these angles are similar to each other.

So,  ∠ABC ≅ ∠MNP.

Hence we get the answer as ∠ABC ≅ ∠MNP.

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Since it is a right triangle we can apply the Pythagorean theorem:

c^2 = a^2 + b^2

Where:

c= hypotenuse (the longest side) = 19

a & b = the other 2 legs of the triangle

Replacing:

19^2 = 10^2 + x^2

Solve for x

361 = 100 + x^2

361 - 100 = x^2

261 = x^2

√261 =x

x= 16.16

Okay, here we have this:

Considering the provided information, that in a rhombus opposite angles are equal, and that the sum of the angles of a triangle is 360 °, we obtain:

360°=100°+100°+4(m∠DBC)

Now, let's clear "m∠DBC":

360°=200°+4(m∠DBC)

4(m∠DBC)=360°-200°

4(m∠DBC)=160°

m∠DBC=160°/4

m∠DBC=40°

Finally we obtain that the correct answer is the option A.

Answer:

Plane: 165 miles per hour

Wind: 15 miles per hour

Explanation:

Let's call x the speed of the plane in still air and y the speed of the wind.

Additionally, the velocity is equal to distances over time. So, when the plane is flying against the wind, we can write the following equation:

Because x - y is the total velocity of the plane when it is flying against the wind.

On the other hand, when the plane flies with the wind, we get:

So, we have the following system of equations:

x - y = 150

x + y = 180

Adding both equations, we get:

x - y = 150

x + y = 180

2x + 0 = 330

Solving for x:

2x = 330

2x/2 = 330/2

x = 165

Finally, Replace x by 165 on the second equation and solve for y as:

x + y = 180

165 + y = 180

165 + y - 165 = 180 - 165

y = 15

Therefore, the speed of the plane in still air is 165 miles per hour and the speed of the air is 15 miles per hour.

It's important to know that the volume formula for a rectangular prism is

Where V = 5, l = 8, and w = 1. Let's use these values and find h

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following function:

we factor and calculate the roots like this:

Therefore the factored form would be

And the roots of the functions are - 3/5 and -4

90 represents the 100%

Let's call x to the number that represents the 40%

To find the 40%, we can use the next proportion:

Solving for x:

36 is 40% of 90

The perimeter and the area of a rectangle of dimensions 15 cm and 8 cm is given as follows:

Considering a rectangle of length l and width w, we have that the area and the perimeter are given, respectively, by these following equations:

In the context of this problem, the dimensions are given/supposed as follows:

l = 15 cm, w = 8 cm.

Applying the rule, the area, in cm², as the variables are multiplied, is given as follows:

A = 15 x 8 = 120 cm².

The perimeter, in cm, as the measures are added, is given as follows:

P = 2 x (15 + 8) = 2 x 23 = 46 cm.

This problem is incomplete and could not be found on any search engine, hence we suppose that it is a rectangle of dimensions 15 cm and 8 cm.

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Collinear points are two or more points that lie on the same line.

For Example:

Point A, B and C

Each face of a rectangular prism has a rectangle shape. To calculate the surface area we need to calculate the area of all the faces. Each face appears twice on the prism, on opposite sides so we only need to make three calculations. These are done using the formulas below:

Using the data from the problem we can calculate these areas.

The surface area of the prism is the sum of the areas above multiplied by two.

Answer:

A. LJ≅HF

Step-by-step explanation:

Same as last time

The speed of current will be "4.5 mph" and the rate Pratap can row in still water will be "8.5 mph".

What does "speed" mean in mathematics?

Given:

Distance "26 miles" in time "2 hours".

Let,

Speed of water = y

Pratap speed when rowing in still water = x

As we know,

      Speed = distance/time

then,

  x + y = 26/2

  x + y = 13

 x = 13 - y

In return trip took him time "6.5 hours",

       x - y = 26/6.5

      x - y = 4

By substituting the value of "x", we get

 13 - y - y = 4

  13 - 2y = 4

     2y = 13 - 4

        2y = 9

          y = 9/4 = 4.5 mph (Rate of the current)

By substituting the value of "y", we get

    x = 13 - a

   x = 13 - 4. 5 = 8.5 mph (Pratap can row in still water)

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Firstly, we need to know the number of boxes they both filled per hour.

From the question, we are told that 126 boxes were filled in six hours; thus in an hour, the number of boxes filled will be 126/26 = 21 boxes

Now in an hour, Nicholas filled 9 boxes; the number of boxes that will be filled is clearly the remainder of the 21 boxes.

The number of boxes filled by Jack is thus; 21 - 9 = 12 boxes

Jack fills 12 boxes in an hour

ANSWER

1987 and 1995

EXPLANATION

The revenue is modeled by:

To find the years that the revenue was $722 million, we have to solve for x when R is 722.

That is:

We can split the absolute value equation into two different equations because the term in the absolute value is equal to both the positive and the negative of the term on the other side of the equality.

That is:

Solve for x in both:

That is to say 7 and 15 years after 1980.

Therefore, in the years 1987 and 1995, the revenue was $722 million.

We have two triangles GBL and XYL.

From the picture we notice that the GL=39 and BL=34. We also notice that XL=30 and YL=27.

The SAS theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.

This means that we need that:

and that the angle between them is the same.

It is clear that the angle L is the same for both triangles, hence we only need to proof tha the sides are congruent, but in this case:

since the sides are not proportional, we conclude that triangles are not congruent.

From the question

Melissa earns $12 an hour as a tutor

And $11 an hour as a waitress

Also,

This month, she worked a combined total of 105 hours

at her two jobs.

Let t be the number of hours Melissa worked as a tutor this month

Let w be the number of hours Melissa worked as a waitress this month

This implies

Since Melissa worked t hours as a tutor this month then

Total money earned as a tutor = $12t

Also,

Since Melissa worked w hours as a waitress this month then

Total money earned as a waitress this month = $11w

Therefore, the total combined earnings for the month is

From the information given,

gus bought 2/3 pound of turkey. If tukey costs 9 dollars per pound, it means that the cost of 2/3 pound of turkey is

2/3 x 9 = 6

gus bought 1/4 pound of ham. If ham costs 7 dollars per pound, it means that the cost of 1/4 pound of ham is

1/4 x 7 = 7/4 = 1.75

Total amount spent = amount spent on turkey + amount spent on ham

Total amount = 6 + 1.75

Total amount = $7.75

Given

To solve this equation for both possible values of x, you have to separate it into two calculations.

1) One will be for the case that the values inside the absolute term are multiplied by "+1":

The first value of x is -7/6

2) The second will be the case that the absolute values are negative, that is as if they are multiplied by -1

The second value of x is 17/6

So for this absolute equation, the possible values of x are -7/6 and 17/6

Using the Borda's method, when one person is ranked as 1st, he/she gets 3 points, if he/she is ranked 2nd, get 2 points, also, if he/she is ranked as 3rd get 1 point, and finally, 0 points if she/he is ranked as 4th

so, let's detemine how many points got each one

Cardona: Was selected 1st by 6 people, 2nd by 2 people, 3rd by 4 people and 4th by 2 people

So, that's a total of 26 points

Pitts-Jones: Was selected as: #1 by 4 people, #2 by 3 people, #3 by 6 people and 4th by 1 person

So, that's 24 points for Pitts-Jones,

De Plata: Was ranked #1 by 2 people, #2 by 8 people, #3 by 1 person and #4 by 3 people

That's 23 points for De Plata

Vincent: Was ranked as #1 by 2 people, #2 by 1 person, #3 by 3 people and #4 by 8 people

that's 11 points for Vincent,

Answer: From the above, we can conclude that the winner using Borda's method is Cardona

Step-by-step explanation:

a) modal number is 3

b) mean is x = ∑fx/n

= ((5•1)+ (2•10)+(3•15)+(7•4)+(3•5))/(5+10+15+7+3)

= 113/40

= (Decimal: 2.825)

4.8 mi

Explanation

Step 1

Set the equations

a) uphill

let

rate1= 1.5 miles per hour

time= unknow= t1

distance = x

b) down hille

rate=4 miles per hour

time=time2=one hour less than the time to climb = t1-1

distance = x

so

replacing

Step 2

solve the equations

set t1= t1

it means the distance to the top of the mountain is 2.4 miles, so the entire hike is twice that amount

total distance=2.4 mi*2

total distance=4.8 miles

Step 3

now, the times

table

I hope this helps you

Since the graph gives us the relative frequency we just have to add those who are more or equal to 16; in this case we have to add 0.11 and 0.06, therefore the proportion in this case is 0.17

1. The scholar made a mistake in the last step

where he said x=3.5

SCHOLA DIVIDED 7 BY 2 INSTEAD OF DIVIDING BY 0.5

[tex]0.5x = 7 \\ \frac{0.5x}{0.5} = \frac{7}{0.5} \\ x = 14

AS A RESULTS GOT WRONG ANSWER . x is supposed to be 14.

To determine statements that are correct, we proceed as follows:

Step 1: We recall the definition of an "equilateral" triangle

An equilateral triangle is one which"

- has all its sides equal to each other

- has all its internal angles equal to 60 degrees each

From the above definition, it can be concluded that

(A) Angles B and C are 60 degrees is a true statement

Step 2: We solve the triangle for x, as follows:

Now, consider the left right-triangle:

Now, we apply the sine trigonometric ratio to obtain the value of x,

Given the triangles ABC and EDC

We will find the transformation that makes the triangles are similar

As shown: the triangles are reflected over the y-axis

the rule of the reflection over the y-axis will be as follows:

And as shown, the length of the side AB = 3 units

And the length of the side ED = 1 units

So,

So, the answer will be:

D) (x,y) ⇒ (-x, y)

E) (x,y) ⇒ (1/3 x, 1/3 y)