The options are A,B,C,D can we make this quick please I am in a rush to turn this in!! thank you so much.

From the graph, the points at which the curve touch the x-axis is the intercepts on x

looking at the graph, the curve cut through the x axis at points -3, 1 and 2

hence the points will be

(-3, 0), (1, 0) and (2, 0)

Thus, the correct option is C;

(1, 0), (2, 0) and (-3, 0)

According to the information given in the exercise, the pen for his rabbit is square and each side is 7 feet long.

You know that the formula for calculating the area of a square is:

Where "s" is the length of each side of the square.

In this case:

Then, you need to substitute this length into the formula and then evaluate, in order to find the area. You get:

Hence, the answer is: Option A.

Given

Set x=3 and solve for y, as shown below

Therefore, a solution to the equation is the ordered pair (3,-1).

To simplify the expression we fist need to express each trigonometric function in terms of sines and cosines; to do this we need to remember that:

With this in mind we have:

Finally we need to remember that:

Therefore, we have that:

Given

Solution

the line will be:

we can find the method of finding the intercepts and then link them with a unique line:

the x-intercept is when y=0 then 2x+3=0 then x=-3/2=-1.5

the y-intercept is when x=0 then y=3

then we can link the points (-1.5,0) and (0,3) and we have the graph of the given line.

Rotation of 270° ,counterclockwise

Find center point of triangle

JK = √ 9^2 +5^2

. = √ 106

JL = √9^2 + 3^2

. = √90

KL = 8

Then now find point J'

Distance from J to origin = JO = √4^2+2^2 =√20

Angle is arctan (2/4) = 26.56°

Then new coordinates J' are

Angle 270+26.56 = 296.56°

From origin trace a line perpendicular to JO

then

y = √20• Cos 26°

y = 4

Answer:

-4

Step-by-step explanation:

good luck kiddos :)

If a local road rises 33 feet for every 423 feet of pavement, the slope of the road will be rate of change of pavement with respect to the road. This is expressed as;

slope of the road = 423/33

Slope of the road = 12.82

Hence the slope of the road is 12.82

Step 1

25% of 40 litres is;

Step 2

30% of 40 litres;

Step 3

45% of 40 litres;

Step 4

5 liters of red tint are added and 5 liters of yellow tint are added to the original mixtures

Answer; What is the percent of water in this new mixture?

hello

his gross income was = $82,969

commission = 4 1/2% or 4.5%

since we have the gross income, we can use that data to find his actual salary for the month.

all we need to do is find 4.5% of 82969 and subtract the value from it

the commission pay was $3733.605

to find his actual salary, subtract 3733.605 from 82969

from the calculations above, his income for last month was $79235.395

The rental cost of each movie is $4.50

The rental cost of each video game is $5.75

let the cost of one movie = m

let the cost of one video games = v

1st month:

Number of movies = 5

number of video games = 6

Total cost of both = $57

Total cost = cost of one movie(Number of movies ) + cost of one video (Number of video games)

57 = m(5) + v(6)

57 = 5m + 6v ...equation 1

2nd month:

Number of movies = 3

number of video games = 2

Total cost of both = $25

Total cost = cost of one movie(Number of movies ) + cost of one video (Number of video games)

25 = m(3) + v(2)

25 = 3m + 2v ...equation 2

57 = 5m + 6v ...equation 1

25 = 3m + 2v ...equation 2

Using elimination method:

To eliminate v, we would multiply equation 2 by 3:

3(25) = 3(3m) + 3(2v) ...equation 2

75 = 9m + 6v ...equation 2

57 = 5m + 6v ...equation 1

subtract equation 1 from 2:

75 - 57 = 9m - 5m + 6v - 6v

18 = 4m + 0

18 = 4m

m = 18/4

m = 4.5

Substitute for m in any of the equation:

Using eqauation1: 57 = 5m + 6v

57 = 5(4.5) + 6v

57 = 22.5 + 6v

57 - 22.5 = 6v

34.5 = 6v

v = 34.5/6

v = 5.75

The rental cost of each movie is $4.50

The rental cost of each video game is $5.75

The difference of a number x and 7 is less than or equal to the sum of the same number x and 5​

The difference means subtraction.

A number is x

Less than or equal is represented with the symbol ≤

So:

The difference of a number x and 7

x-7

is less than or equal to the sum of the same number x and 5​

≤ x+5

Altogether:

x-7≤ x+5

Given: the fraction 1/8.

Objective is to convert this fraction in to decimal.

Answer: 0.125

From the graph

Domain = [ -1 , 4]

Range = [ -1 , 3 ]

b) When you look at the graph, the function f

Increasing = [ -1, 1 ] , [ 2, 4 ]

Decreasing = [ 1 , 2 ]

There are no real factors

Here, we want to factorize the given expression

To check if there are real factors, we will need to get the determinant

mathematically, we have this as;

where a is 9, b is -4 and c is 1

Substituting these values;

As we can see, the value of the determinant is negative

Whenever the determinant value is negative, there are no real roots

We are given the graph of a line, and we are asked to determine if it is a proportional or non-proportional relationship. Let's remember the general form of the equation of a line, that is:

where "m" is the slope and "b" the y-intercept. The y-intercept is the value where the line touches the y-axis. According to the graph, the value of "b" is b = 1, therefore, the equation of the line would be:

A proportional relationship is of the form:

since the value of "b" is different from zero the relationship is non-proporsional.

The relationship is non-proportional

x - 9

when x = -1

out put is -1 -9 = -10

when x = 0

Output is 0-9 = -9

when x = 1

output = 1-9 = -8

x y

-1 -10

0 -9

1 -8

First Part 45-45-90 Triangle

first triangle

where the two angles different to 90° are same, the measure of the legsof the triangle are the same

then

and to calculate B or the hypotenuse we use pythagoras

where a and b are legs and h the hypotenuse

replacing

the hypotenuse or B is

Second triangle

legs of the triangle have the same value then if we apply pythagoras

and replace the legs with the same value(a)

we can replace the hypotenuse and solve a

value of each leg is 3 units, then

Second part 30-60-90 triangle

First triangle

we use trigonometric ratios to solve, for example I can use tangent for the angle 60 to find E

where alpha is the angle, O the oppiste side of the angle and A the adjacet side of the angle

using angle 60°

now using sine we calculate F or the hypotenuse

where alpha is the angle, O the opposite side from the angle and H the hypotenuse

using angle 60°

Second triangle

we use sine with 60° to find H

use cosine with 60° to find G

Final Values

Solution:

Given the function below

Where

If the input value is 3, i.e. x = 3, the output value will be

Hence, the output value is 13

REQUIRED;

To identify which of the statements given properly depicts the population and the sample.

Explanation:

In statistics and research processes, a population ideally refers to the entire group that we want to study and reach conclusions about. It can best be described as all-inclusive.

On the other hand, a sample is a portion taken out of an entire population for the purpose of studies or research and the appropriate data is collected from these.

We shall now examine the options given one after the other.

(A) Registered state voters randomly collected for a poll; all citizens of the state. This represents SAMPLE and POPULATION

(B) All professional football players; all professional athletes. This represents POPULATION and POPULATION

(C) All customers at a shopping mall; people who purchased shoes. This represents POPULATION and SAMPLE.

(D) Passengers with window seats; all passengers on an airplane. This represents SAMPLE and POPULATION.

ANSWER:

Therefore, the correct answer is OPTION C.

"If a population is all customers at a shopping mall, a sample of the population could be peole who purchased shoes.

Answer:

• Mean: 50

• Median: 45

• Mode: 10,30

Explanation:

Given the data set:

Before we begin, arrange the numbers from the least to the greatest.

(a)Mean

To find the mean, add up the numbers and divide by the number of items (12 in this case).

The mean of the dataset is 50.

(b)Median

The median is the number in the middle of the dataset when arranged in ascending order.

• There are two numbers in the middle: 40 and 50

• Take the average to find the median.

The median of the dataset is 45.

(c)Mode

The mode is/are the number(s) that appear the most number of times..

In the dataset:

• 10 appears twice

• 30 appears twice

The modes of the dataset are 10 and 30.

Semicircle perimeter is 5.8 m

THEN

2π • R + 2R = 5.8

R = 5.8/(2π + 2) = 0.7 meters

Now find Volume

Volume V = (4/3)•π•R^3

V= (4/3)•π•(0.7^3) = 1.438 cubic meters

V=. 1.438 m^3

Given:

Rita earns scores of 83, 87, 85, 88, and 90 on her five-chapter tests for a certain class.

And a grade of 82 on the class project.

First, we will find the average of the scores of the five tests

The overall average for the course is computed as follows:

30% of the course grade ⇒ Rita get 86.6

30% of project grade ⇒ Rita get 82

40% of the final exam ⇒ let Rita get x

We will find the value of x provided that Rita will earn a "B" score

a "B" is an overall score greater than or equal to 80, but less than 90

So, we will find (x) as follows:

Solve the inequality to find (x):

And the upper limit will be as follows:

Solve to find (x):

So, the answer will be:

To obtain a "B", Rita needs to score between 73.55 and 98.55

For the a triangle to be a right angle triangle, the length of the three sides must form a pythagorean triple. This means that if we apply pythagoras theorem, the square of the length of the longest side must equal the sum of the squares of the length of the other sides. This means that

11^2 must be equal to 4^2 + 7^2

11^ = 121

4^2 + 7^2 = 16 + 49 = 65

Since they are not equal, then the triangle with the given sides, 4, 7, 11 cannot form a right angle triangle.

SOLUTION

From the question

This becomes

In polar,

So, this becomes

The first expression es the simplified expression using the property of negative exponents.

Given:

The odds against winning a prize in the raffle are 12:1

0.077 is the probability of winning a prize.

Given:

• Vertical asymptote at : x = -1

• Double zero at: x = 2

• y-intercept at: (0, 2)

Let's create the equation for the rational function using the given properties.

Since the vertical asymptote is at x = -1, to find the deominator of the equation, equate the vertical asymptote to zero.

Add 1 to both sides:

Therefore, the denominator of the function is ==> x + 1

Since it has a double zero at x = 2, we have the factors:

We now have the equation:

Also, the y-intercept is at: (0, 2)

To find the value o a, substitute 2 for y and 0 for x then evaluate:

Therefore, the rational function is:

ANSWER:

Explanation:

Put them together