find the equation of a straight line passing through the point (1,2) and making an intercept of 3 on the positive y-axis.​

Answer

C)(-1,1)

Step-by-step explanation:

Answer:

y=x+9

Step-by-step explanation:

2+9=11,4+9=13,5+9=14,9+8=17,12+9=21

Answer:

39 square feet

Step-by-step explanation:

P = 2( L + W)

actual length = 4 * 3 = 12

actual width  =  2.5 * 3 = 7.5

P = 2 (12 + 7.5)

P = 2 ( 19.5)

P  = 39 feet

Answer:

AB= 7.45

Anwer C)

Step-by-step explanation:

Cos (angle) = Nearest side / Huypothenuse

Cos(20)      = 7 / AB

Cos(20) * AB = (7 /AB) * AB

Cos (20) * AB = 7

(Cos(20) *AB) / Cos(20) = 7 / Cos(20)

AB = 7 / cos(20)

AB=    7.45

Answer:

D) (-20, 17)

Step-by-step explanation:

y = x + 3 (substitute the numbers & check if the equation is still true)

-7 = -10 + 3 -> -7 = -7

16 = 13+3 -> 16 = 16

-11 = -14 + 3 -> -11 = -11

17 = -20 + 3 -> 17 = -17 (not true)

Answer:

This formula has no values, it is a false inequality. X can not be greater than 5, and less than 3.

Step-by-step explanation:

x < 3 or x > 5

This means, x is less than 3, but greater than 5.

Technically, you would write this as 5 < x < 3, however, this is a false inequality, and does not work.

The number of fidgets and pop bought was 15 each

From the information given, we have that;

1 fidget costs $3

1 Pop cost $4

Let the number of Fidgets be x

Let the number of Pop be y

Then, we have that a total of 20 fidgets and Pop cots $75

We have that;

20x + y = 75

Now, substitute the value of x as 3, we get;

20(3) + y= 75

expand the bracket

y = 75 - 60

y = 15

The number of fidgets is expressed as;

20x/4 = 20(3) /4 = 15

Learn more about linear equations at: https://brainly.com/question/2030026

#SPJ1

Answer:

The answer is 1 foot and 5.75 inches.

Step-by-step explanation:

Answer

You can solve for x

Step-by-step explanation:

Answer:

B. 733 customers

Step-by-step explanation:

15+30+45=90

since 30 people select a black frame, 1/3 of the customers picked black frames. If this data is consistent through the month (which we have to assume it is) then that means 1/3 of customers select a black frame on average. 1/3 of 2,200 is about 733, so we can assume, using the data given, that about 733 customers selected black frames! :)

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

Let's assign variables to represent the statements:

q: The aquarium is full of fish.

r: There are penguins.

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

∧ represents the logical operator "and" which connects the statements r and q.

→ represents the logical operator "implies" or "if...then".

o represents the statement "this is an octopus".

Learn more about compound statement on

https://brainly.com/question/28794655

#SPJ1

Answer:

 1

Step-by-step explanation:

Let x represent the number. The given relation is ...

 x² +(x+3)² = 17

 2x² +6x +9 = 17 . . . . simplify

 x² +3x -4 = 0 . . . . . . subtract 17 and divide by 2

 (x +4)(x -1) = 0 . . . . . factor

The solutions make these factors zero: -4 and +1. The positive solution is 1.

The number is 1.

The percentile of 6.2 in the given dataset is 30%. This means that 30% of the values in the dataset are lower than or equal to 6.2.

To determine the percentile of 6.2 in the given dataset, we need to calculate the percentage of values in the dataset that are lower than or equal to 6.2.

First, we arrange the dataset in ascending order: 4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2.

Next, we count the number of values that are lower than or equal to 6.2. In this case, there are three values: 4.2, 4.6, and 5.1.

The next step is to calculate the percentage. We divide the count (3) by the total number of values in the dataset (10) and multiply by 100.

(3/10) * 100 = 0.3 * 100 = 30%

Percentiles are used to understand the relative position of a particular value within a dataset. In this case, 6.2 is higher than 30% of the values in the dataset and lower than the remaining 70%.

For more such questions on percentile,click on

https://brainly.com/question/28839672

#SPJ8

The statements which happen to be correct about the inequalities in each case as required are as follows;

It follows from the task content that the statement which is correct about each of the inequalities is to be matched accordingly.

It is important to know that the underlying rule for solving inequalities at the final stages is such that;

If the coefficient of a variable upon isolation on one side of the inequality is negative, it follows that the inequality sign must be flipped while multiplying or dividing both sides of the inequality by a negative number.

On the other hand, if the coefficient of the variable is positive, the inequality sign is not to be flipped.

Read more on solving inequalities;

https://brainly.com/question/10711608

#SPJ1

Solution:

Given that,

Apply the distributive property to factor out the greatest common factor

35 + 50

By distributive property,

a(b + c) = ab + ac

First find the greatest common factor of 35 and 50

The factors of 35 are: 1, 5, 7, 35

The factors of 50 are: 1, 2, 5, 10, 25, 50

Then the greatest common factor is 5

Thus, factor out 5 from given expression,

35+50= 5(7+10)

5(7+10)= 5×7+5×10

5(7+10)= 35+50

5(7+10)= 85

Thus distributive property is applied

Answer:

1. m = -3 b = 2

2. m = 1/2 b = -1

3. m = -1 b = 79

4. m = 2 b = -2

5. y = -4x + 3

Step-by-step explanation:

1. the equation y=mx + b is used in number 1. m = slope and b = y intercept. so, because -3 is in the m spot, it is the slope, and because 2 is in the b spot, it is the y intercept.

2. apply the same concept as number 1. 1/2 is in the m spot, so it is the slope, and -1 is in the b spot, so it is the y intercept

3. To know the slope of the graph, you do rise/run. meaning, from one point on the graph, count how many times you go down to get to the next points, and then how many times you go over to get to the point. So, the slope of this line is -2/2, which is equal to -1. So, m = -1. To get the y intercept, take a pair of points from the graph (for example, (3,76)) and take the slope, and fill those in to the y = mx + b equation, and then solve for b. so, you get 76 = -1(3) + b. then do -1 times 3 and get -3. add 3 to both sides and you get b = 79.

4. apply the same concept on number 4 as you did number 3. Find rise/run, and you get 2/1, so m = 2. then take a point from the line (like point (0,-2)) and and the slope and fill it in to  y = mx + b. you get -2 = -2(0) + b. so, b = -2.

5. simply fill in the information into the y = mx + b equation. remember, m is the slope, and b is the y intercept. so, you get y = -4x + 3

The output value of (f∘g)(x) is:  \((f \circ g)(x) = \frac{4x^2-29x+60}{x +3}\)

The domain of (f∘g)(x) is (-∞, -3) U (-3, ∞).

In this scenario, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations (multiplication) in simplified form as follows;

\(f(x) = \frac{x-6}{x +3}\)

g(x) = 4x - 15

Next, we would write the numerators and denominators in factored form as follows;

(x - 6)(4x - 15)

4x² - 15x - 24x + 60

4x² - 29x + 60

Now, we can derive the corresponding composite function of f(x) and g(x);

\((f \circ g)(x) = \frac{4x^2-29x+60}{x +3}\)

For the restrictions on the domain, we would have to equate the denominator of the rational function to zero and then evaluate as follows;

x + 3 ≠ 0

x ≠ -3

Domain = (-∞, -3) U (-3, ∞).

Read more on domain here: brainly.com/question/17440903

#SPJ1

(-2, 2)

Converting equation to vertex form:

y = (x + 2)^2 + 6 - 4

y = (x + 2)^2 + 2

When x = -2, y = 2

Answer:

ASA

Step-by-step explanation:

angle side angle

Answer:

8.69 × 10^4

For a clearer answer look at the image.

Step-by-step explanation:

10² + 10² = 10^4

5.84 + 2.85 = 8.69

8.69 × 10^4

Answer:here is the right answer took the test and got it right trust and believe Jonathan’s answer is reasonable because is 16, and 16 is close to 15.77.

Step-by-step explanation:

Answer:

4% of 50 is 2

Step-by-step explanation:

Answer:

2.6, 2 3/5, 2 6/10

Step-by-step explanation:

2.6 as a fraction is 2 3/5. When you read the decimal 2.6, it is read as ''2 and 6 tenths. '' This can also be written as a mixed number of 2 6/10.

Answer:

n = 19

Step-by-step explanation:

2n > 36 ( divide both sides by 2 )

n > 18

and

5n < 100 ( divide both sides by 5 )

n < 20

so n > 18 and n < 20

thus n = 19

The number that would make the expression a perfect square as calculated from the given data is 9.

To get the number which should be added to make the given equation as a perfect square is ,

we will add the half of the coefficient of x to x²

i.e.,

(1/2 x 5 )² = 3²

=9

Therefore , we get ,

x² -6x +9

= (x + 3)²

A number's square root is a value that, when multiplied by itself, yields the original number. The other way to square an integer is to find its square root. Squares and square roots are hence linked ideas.

Assuming that x is the square root of y, the equation would be written as x=y or as x2 = y. The radical symbol for the number's root is "" in this instance. The square of the positive number is represented by multiplying it by itself. The original number is obtained by taking the square root of the square of a positive number.

To learn more about squares

brainly.com/question/385286

#SPJ4

The seamless integration of quantitative and qualitative data during analysis and interpretation is one of the main issues in mixed research methods.

Mixed Techniques Research is characterized as a subtype of user research that incorporates both qualitative and quantitative research approaches.

The overarching goal and fundamental tenet of mixed methods research is that using both quantitative and qualitative methods together yields a more comprehensive grasp of study issues and complicated phenomena than either method by itself.

In conclusion, the seamless integration of quantitative and qualitative data during analysis and interpretation is one of the main issues in mixed research methods.

Learn more about research on:

https://brainly.com/question/28077230

#SPJ1

Answer:

66 Sq. un

Step-by-step explanation:

The Intuition for why the area of a parallelogram is A=bh (area = base x height)

The formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle.

Have a great day!

Step-by-step explanation:

Pick any point on the graph below for a solution:

The volume of the cylinder cone is 51 cm³.

A cone is a three-dimensional geometric shape with a smooth and curving surface and a flat base, with an increase in the height radius of a cone decreasing to a certain point.

The volume of a cone is (1/3)πr²h.

The total surface area of a cone is πr(r + l).

The curved surface area is πrl.

From the given information the height of the perfume bottle is 12.4 cm and the radius of the perfume bottle is 6.2 cm.

Therefore, The volume of the cylinder is,

= (1/3)π(6.2)²×12.5 cm³.

= 51 cm³

learn more about cones here :                                      

https://brainly.com/question/23863102

#SPJ1