Which of the following graphs shows the solution set for the inequality below?

3|x + 1| < 9

For the given question the correct order of construction is as follows -

The order is as follows:

Any two or more lines that cross one another on a plane are said to be intersecting lines. Where the intersecting lines share a common point is known as the point of intersection, and it can be located on all intersecting lines. The junction of lines P and Q at point O is depicted.

To learn more about construction click on the link below:

https://brainly.com/question/25795065

#SPJ13

The equation of parabola is y = -6x² + 24x - 30

Define Parabola

A symmetrical open plane curve created when a cone and a plane that runs perpendicular to its side collide. Ideally, a projectile travelling under the pull of gravity will travel along a curve similar to this one.

We know the equation of parabola in vertex form,

y = a(x - h)² + k

And , we know the vertex (h, k) = (2, -5)  and a = -6

put these values in given equation,

y = a (x - h)² + k

y = -6(x - 2)² + (-6)

y = -6(x² + 4 - 4x) - 6

y = -6x² - 24 + 24x - 6

y = -6x² + 24x - 30

Hence, the equation of parabola is y = -6x² + 24x - 30

To read more about Parabola.

https://brainly.com/question/28094027

#SPJ9

Um maybe try it out then ask for help from the teacher

The ordered pair that represents the coordinates of the y-intercept for a function is: (0, 3).

If we graph a function, especially a linear function, the line of the function will normally intercept the y-axis. At this point, the x-coordinate is usually zero while the y-coordinate of the point is what we refer to as the y-intercept of the function.

Therefore, the coordinates of the y-intercept for a given function would be expressed as (0, b), where b is the y-coordinate of the point where the line intercepts the y-axis.

An ordered pair of (0, 3), means that the line intercepts the y-axis at y = 3, when x = 0.

Therefore, given the above ordered pairs, the coordinates that represents that of the y-intercept of a function is: (0, 3).

Learn more about the y-intercept on:

https://brainly.com/question/10700419

#SPJ1

Answer:

[tex]\frac{2}{3} -\frac{1}{4}= \frac{8}{12} -\frac{3}{12} =\frac{5}{12}[/tex]

Step-by-step explanation:

We have to find a common denominator between the two fractions and that would be 12.

Then we multiply the fractions respectively to change both denominators to twelve and substitute them into the equation.

Answer: 11/12

Step-by-step explanation:

first, you find the common multiple of the denominators which is 12

Then you multiple by the number that got the denominator to 12 by the numerator as well

2/3= 8/12

1/4= 3/12

then you subtract the numerators

5/12

The breadth of the rectangle is 7cm or 70 mm.

It is given in the question that:-

Area of the rectangle = 98 square cm

Length of the rectangle = 140 mm

We have to find the breadth of the rectangle.

We know that,

1 cm = 10 mm

Hence,

140 mm = 14 cm

Also,

Area of a rectangle = (Length of the rectangle)* (Breadth of the rectangle)

Hence, we can write

98 = 14*(Breadth of the rectangle)

Breadth of the rectangle = 98/14 = 7 cm

Hence, the breadth of the rectangle is 7 cm or 70 mm.

To learn more about Area of a rectangle, here:-

https://brainly.com/question/20693059

#SPJ1

Answer:

(20/4)

Step-by-step explanation:

The term "quotient" implies division, which is present in the (20/4) part of the expression.

The percentage error of Margaret's guess she made while buying curtains without measurement is 11.11%

The term percentage error is one that has to do with the difference that lies between the estimated value and the value that is the actual value and the way that it is compared to the actual value. This usually measured in terms of percentages.

percentage error is found by

= ( actual price - guessed price ) / guessed price * 100

= ( 40 inches - 36 inches ) / 36 inches * 100

= 4 inches / 36 inches * 100

= 0.1111 * 100

= 11.11 %

Read more on percentage error here:

https://brainly.com/question/17880579

#SPJ1

The cost of tickets for senior citizen and students are $11 and $13 respectively.

To solve this problem, we have to write out system of equations and solve the value of the unknown.

Let;

We can express the problem mathematically as;

[tex]6x + 4y = 118..eq(i)\\14x + 8y = 258 ...eq(ii)[/tex]

Solving for x and y;

[tex]6x + 4y = 118..eq(i)\\14x + 8y = 258 ...eq(ii)\\x = 11, y = 13[/tex]

From the calculations above, the value of x and y are 11 and 13 respectively.

Learn more on system of equations here;

https://brainly.com/question/13729904

#SPJ1

The possible options that can correctly be used to complete Jenna's statement on the similarity of the triangles includes any of the following;

Similar triangles are triangles that have proportional sides and in which the measure of all the interior angles in one triangle is the same as the measure of the interior angles in the other triangle

Similar triangles are triangles that have

The required conditions that indicates that two triangles similar includes;

Therefore,

[tex] \triangle P_1P_2Q \sim \triangle \: P_3P_4S[/tex]

When any of the above three conditions are satisfied.

The possible correct options are therefore;

Learn more about similar triangles in geometry here;

https://brainly.com/question/24031436

#SPJ1

Solution

The standard form of a quadratic equation is

Answer: t≈8.93 units

Step-by-step explanation:

The cosine of an angle (cos) is the ratio of the adjoining leg of a right triangle to the hypotenuse

Hence,

[tex]\displaystyle\\cos56^0 =\frac{5}{t} \\[/tex]

Multiply both parts of the equation by t(t≠0):

[tex]\displaystyle\\cos56^0(t)=\frac{5}{t} (t)\\\\t(cos56^0)=5[/tex]

Divide both parts of the equation by cos56°:

[tex]\displaystyle\\t=\frac{5}{cos56^0} \\\\t\approx\frac{5}{0,56} \\\\t\approx8,93\ units[/tex]

The budget for books for the fourth semester should be $430.

A nursing student is budgeting for college. He spent $325.00 on books for the first semester, $460.00 on books for the second semester, and $395.00 for the third semester.

Amount spent on books for the first semester = $325.00

Amount spent on books for the second semester = $460.00

Amount spent on books for the third semester = $395.00

Difference in amount spent in second semester and first semester = 460.00 - 325.00 = 35

Difference in amount spent in third semester and second semester = 395.00 - 460.00 = 35

The amount spent by a nursing student is increasing by $35 each semester. So,

money needed for books for the fourth semester = 395 + 35 = $430

Thus, $430 should be the budget for books for the fourth semester.

To know more about Mathematical Expressions refer to the link:

brainly.com/question/4344214

#SPJ4

Answer:

510 words

Step-by-step explanation:

[tex]\frac{153}{3} =51[/tex]  → Ben can type 51 words in 1 minute

[tex]51*10 = 510[/tex] → Ben can type 510 words in 10 minutes.

Answer:

The first thing you need to do is open the bracket

4(b-6)+19

=4b -24 +19

collect like terms

4b=24 -19

4b =5

divide both sides by 4

4b/4=5/4

b=5/4 or 1.25

The values of "L" for q1 are 12, 18, and 36.

The values of "L" for q2 are 25/3, 25/2, and 25.

The function "q1" is given below :

q1 = 5[(K)^(0.5)]*[(L)^(0.5)]

The value of "q1" is 30.

The values of "K" are 3, 2, and 1.

Put the values in the above equation of the function "q1" and get the respective values of "L".

The respective values of "L" are 12, 18, and 36.

The function "q2" is given below :

q2 = 6[(K)^(0.5)]*[(L)^(0.5)]

The value of "q2" is 30.

The values of "K" are 3, 2, and 1.

Put the values in the above equation of the function "q2" and get the respective values of "L".

The respective values of "L" are 25/3, 25/2, and 25.

Complete question: van is opening a new pizza restaurant that will use a combination of workers and ovens to produce pizzas. van knows from experience that the total number of pizzas he can produce in an hour is given by the function q1 = 5[(K)^(0.5)]*[(L)^(0.5)] find the value of K and L.

Learn more about functions here:

https://brainly.com/question/12431044

#SPJ4

Answer:

Step 1: Judging by the relative lengths of the sides of the two triangles, we can conclude that A corresponds to T, B to S, and C to R, which we can write as

△

A

B

C

∼

△

T

S

R

.

In particular, the smallest sides

A

B

and

T

S

are corresponding sides with known lengths, so we form the ratio of their side lengths

9

15

. Remember that all ratios of corresponding side lengths are equal.

Step 2: Next we form a ratio that involves

x

. Since

B

C

and

S

R

are corresponding sides, we know that the ratio of their side lengths equals the ratio from Step 1:

18

x

=

9

15

Step 3: Finally, we cross-multiply and solve for

x

:

x

⋅

9

=

18

⋅

15

9

x

=

270

x

=

270

9

=

30

That is, the missing side length is 30.

The time that it will take a group of 4 workers to do the same job, if each worker performs at the same rate is D. 15.

It should be noted that an expression simply illustrates the relationship between the variables that are given.

In this case, the group of 3 workers needs 20 days to do a certain job. Let the time taken for the 4 workers be x. This will bee illustrated as:

3/4 = x/20

Cross multiply.

4x = 3 × 20

4x = 60

Divide

x = 60 / 4

x = 15

They will use 15 days to to the job.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

Answer:

[tex]y=-x+1[/tex]

Step-by-step explanation:

[tex]midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

Find the midpoint:

[tex]M=(\frac{-7+1}{2} ,\frac{0+8}{2} )=(-3,4)[/tex]

[tex]slope=\frac{rise}{run} =\frac{y_2-y_1}{x_2-x_1}[/tex]

Find the slope:

[tex]m=\frac{8-0}{1--7} =\frac{8}{8} =1[/tex]

Perpendicular lines have negative reciprocal slopes, therefore:

[tex]m=-1[/tex]

Use the point-slope formula with our new slope and midpoint:

[tex](y-4)=-1(x+3)[/tex]

Distribute -1:

[tex](y-4)=-x-3[/tex]

Add 4 to both sides:

[tex]y=-x+1[/tex]

The statement that describes the graph of the proportional relationship is:

"A line passes through the point (0, 0) and continues through the point (15, 5)."

We have a proportional relationship defined by the following table:

x: 15, 8, 21

y: 5, 3, 7

Remember that a general proportional relationship is given by the formula:

y = k*x

Where k is the constant of proportionality.

If we take x = 0, we always get:

y = k*0

y = 0

So the line always passes through the point (0, 0).

And by using the information on the table, we also know that the line passes through (15, 5), (9,3) and (21, 7).

Then the correct option is:

"A line passes through the point (0, 0) and continues through the point (15, 5)."

Learn more about proportional relations:

https://brainly.com/question/12242745

#SPJ1

This can be determined by adding the numbers in a set and dividing the result by the set's total number of numbers. The value of a function at a specific moment is equivalent to the value of the function when the values for the function's variables are plugged in. Value can also refer to an object's mathematical worth.

To know more about fraction refer to:

https://brainly.com/question/20712359

#SPJ4

The percentage of the espresso sold were single shot were 92%

what is percentage?

A fraction whose denominator is 100 is known as percentage.

We are given that the number of single shot espressos sold were 69 and number of double shot espressos sold were 6

Hence the total number of espressos sold were 69+6=75

The percentage of single shot espressos sold were [tex]\frac{69}{75}[/tex]

On simplifying we get the value as 0.92

To find the percentage we multiply this by 100 we get 92%

Hence the percentage that single shot espressos were sold is 92%

To learn more about the Percentage please refer

https://brainly.com/question/24304697

#SPJ13

The length of RD in the triangle is 108 cm

The given parameters are

As a general rule, the centroid of a triangle divides the triangle into the following ratio

Ratio of centroid = 1 : 2

This means that

Ratio of centroid, RL : LD = 1 : 2

Substitute 36 for RL

So, we have

36 : LD = 1 : 2

Multiply the right ratio by 36

36 : LD = 36 : 72

By comparison, we have

LD = 72

The length of RD is calculated as

RD = RL + LD

This gives

RD = 36 + 72

Evaluate

RD = 108

Hence, the value of RD is 108 cm

Read more about triangles at

brainly.com/question/2437195

#SPJ1

The probability that Maria wins a free unlimited rides pass or a ticket to ride the ferris wheel is C. 7/12.

It should be noted that probability simply means the likelihood that an event will occur.

In this case, the probability that Maria gets all 4 bean bags in the jar she will win a free unlimited rides pass is 1/4.

The probability that Maria gets 3 bean bags in the jar she will win a ticket to ride the ferris wheel is 1/3.

Therefore, the probability to get the tickets or ride pass will be:

= P(ride pass) + P(tickets)

= 1/4 + 1/3

= 3/12 + 4/12

= 7/12

Learn more about probability on;

brainly.com/question/25870256

#SPJ1

Answer:

the 3(2m+1m) and 9m.

Step-by-step explanation:

Use proportions to find the values that must be in the blanks.

For the first blank, 2 is to 5 as the value is to 10:

The first blank must be filled with 4.

For the second blank, 2 is to 5 as 6 is to the value:

The second blank must be filled with 15.

For the last blank, 2 is to 5 as the value is to 25:

The last blank must be filled with 10