Which system of inequalities is represented by the graph?

Which System Of Inequalities Is Represented By The Graph?

Answers

Answer 1

Answer:

C  ( third choice )

Step-by-step explanation:

It has two equations with the operator  ' > '   ( due to the dashed lines )

  and one equation with the operator  ' ≤ '   ( due to the solid line)

So that narrows the choices to  B  or C

   C  fits the line on the Left of the graph

         when x = - 4       y = -3 (-4) - 6 = 12 -6 = 6


Related Questions

(root 10 - root 2 )^2

Answers

not that bad

goodluck tho :)

Write a quadratic equation in the form x^2+bx+c=0

Answers

ax^2 + bx + c = 0

a=1

b=4

c=-8

x^2 + 4x - 8 = 0

(I thought I was wrong but I might be correct lol)

As the sample size becomes larger, the sampling distribution of the sample mean approaches a.

Answers

The sampling distributions reach a normal distribution as sample sizes increase.

What is termed as the normal distribution?The proper term for just a probability bell - shaped curve is the normal distribution.The mean of a normal distribution is zero, and the standard deviation is one. It has a skew of 0 and a kurtosis of 3.Even though all symmetrical distributions are normal, not all normal distributions are symmetrical.Many naturally occurring phenomena resemble the normal distribution.

For the given statement in the question-

As sample sizes grow larger, sampling distributions reach a normal distribution.

The mean of the sampling distribution equals the population mean (µ) (with "infinite" numbers of the successive random samples).

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Tasha earns $400 per week plus a commission of 10% on her weekly sales. Each week she saves One-fourth of her earnings. In the expression , what does the expression 400 + 0.1s represent in this situation?

Answers

The expression 400 + 0.1s represents her total weekly earnings.

What is an expression?

An expression is written in the form of variables and constants separated by the operation of addition and subtraction. There are many types of expressions some of them are algebraic expression, trigonometric expression, logarithmic expressions, and many more.

Given Tasha earns $400 per week plus a commission of 10% on her weekly sales.

She also saves one-fourth of her earnings.

Assuming the amount she makes on sales is s.

∴ The expression that represents her total weekly earnings is,

= 400 + 0.1s.

As 10% in decimal can be written as (10/100) = 0.1.

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please solve this with solution thankyou.​

Answers

The value of the function operation of each one is represented below.

Function Operation

To solve this problem, we have to perform the operation on each one.

f(x) = 2x + 4g(x) = x^2 + 4x + 4h(x) = x^2 - 4

1) (fg)(x)

[tex](fg)(x) = 2x^3 + 12x^2 + 24x + 16[/tex]

2) (hg)(x)

[tex](hg)(x) = x^4 + 4x3 -16x -16[/tex]

3)

(fh)(2)

[tex](fh)(2) = 0[/tex]

4) (gh)(x)

[tex](gh)(x) = x^4 + 4x^3 - 16x -16[/tex]

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Karyn proofreads 15 pages in 2 hours for $40. What is her proofreading rate in pages per hour? How much does she earn per hour?

Answers

The proofreading rate will be ( 7.5 pages/ hour) and the cost per hour will be $20.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Karyn proofreads 15 pages in 2 hours for $40. The rate will be calculated as:-

Rate of reading = ( 15 / 2 )

Rate of reading = ( 7.5 ) pages per hour

The cost will be calculated as:-

For 2 hours = $40

For 1 hour = ( 40 / 2 )

For 1 hour = $20

Therefore, the proofreading rate will be ( 7.5 pages/ hour) and the cost per hour will be $20.

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4 is 50% of what number?

Answers

Answer:

8

Step-by-step explanation:

To solve this problem you multiply 4 by 100 and then divide the total by 50 as follows: (4 x 100) / 50

4 is 50% of 8.

Let 4 be 50% of x ; then 50/100 x = 4
= 0.5x=4
= x = 8

Solve the formula Aa + By = C for B.

Answers

A literal equation is one that is mostly made up of letters. Examples of literal equations include formulas.  

What is literal equation?

A literal equation is one that is mostly made up of letters. Examples of literal equations include formulas. Every variable in the equation "literally" represents a crucial aspect of the overall relationship that the equation expresses. Multiple letters or variables make up a literal equation. Examples include the formula for calculating speed (v=Dt) and the area of a circle (A=r2). In this part, we resolve straightforward one-variable equations.

Alternatively,

Ax +By = C

Any sign that crosses over equal(=) signs always change

In this case, Ax crosses over to C

By = C - Ax

To eliminate y from By, then

By/y = (C - Ax) /y

y cancel out y on the left side

B  = (C - Ax) /y

The complete question is,

Solve for B in the literal equation Ax+By=C

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In the diagram, M is the midpoint of AB.

Support the following argument for AM = MB by
writing the reason that validates each statement.

A. Definition of midpoint

B. Definition of congruent segments

C. Given information

We know that M is the midpoint of AB.

This means that AM = MB.

Therefore, AM=~MB.

Answers

Answer:

It goes

1.) C

2.) A

3.) B

11. Find all missing angles

Answers

The angle ∠1=62° ,∠2=71° ,∠3=109° ,∠4=35° ,∠5=109° ,∠6=29° ,∠7=47° and ∠8=62° for the given quadrilateral by using different laws for angle and lines.

What is quadrilateral?

A polygon with four sides, four angles, and four vertices is called a quadrilateral. The Latin words quadri, which means four, and latus, which means side, were combined to create the English word quadrilateral

What is polygon?

A polygon is a two-dimensional, closed shape that is flat or plane and is bounded by straight sides. Its sides are not curved. A polygon's edges are another name for its sides. The vertices (or corners) of a polygon are the places where two sides converge.

∠1=62° by parallel line properties.

∠2=71° by alternate angles.

∠3=109° by alternate angles

∠4=35° by triangle properties

∠5=109° by alternate angles

∠6=29° by triangle properties

∠7=47° by parallel line properties.

∠8=62° by parallel line properties.

for the given quadrilateral by using different laws for angle and lines, The angles are ∠1=62° ,∠2=71° ,∠3=109° ,∠4=35° ,∠5=109° ,∠6=29° ,∠7=47° and ∠8=62°.

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can someone pls help? thx i appreciate it :)

Answers

The scale factor from the ΔABC to ΔDEF is 3/2 cm.

Given that, in triangle ABC, side AB measures 12 cm and is the longest side and in triangle DEF, side DE measures 8 cm and is the longest side.

What is the scale factor?

To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilized.

The fundamental equation to determine a figure's scale factor is written as, Scale factor is equal to the difference between the dimensions of the new and old shapes.

The scale factor from the triangle ABC to triangle DEF is 12/8 = 3/2 cm

The scale factor from the triangle DEF to triangle ABC is 8/12 = 2/3 cm

Therefore, the scale factor from the ΔABC to ΔDEF is 3/2 cm.

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Which expression is equivalent to 3(−4.5b − 2.1) − (6b + 0.6)?
19.5b + 1.5
−19.5b − 1.5
−19.5b − 6.9
19.5b − 6.9

Answers

The given expression is equivalent to the third option -19.5b - 6.9. We get this on solving the algebraic expression.

The given expression in the question is

3(-4.5b-2.1) - (6b +0.6)

= -13.5b - 6.3 - 6b - 0.6         (multiplying 3 and -1 respectively with the elements in the bracket)

= -19.5b - 6.9

Therefore we can see that on solving the given algebraic expression we get that it is equivalent to -19.5b - 6.9

Hence the third option which is -19.5b -6.9 is the correct answer.

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Pls, help me with MATH!!!

Answers

The total amount accrued, principal plus interest, from simple interest on a principal of $1,500.00 at a rate of 3.5% per year for 30 years is $3,075.00. With a principal of £1,500.00 and an interest rate of 3.5% over a 30-year period, Sarah-Jane will save UK £1,575.00. It is undoubtedly a wise investment because the original UK £1,500 doubled.

What is Simple Interest?

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principal, and the number of days between payments are multiplied to calculate simple interest.

What is the formula for Simple interest?

A = P(1 + RT)

A=Final Amount

P = Principal

R = Rate of Interest

T = Time period

Here,

A = $3,075.00

I = A - P = $1,575.00

A = P(1 + rt)

First, converting R percent to r a decimal

r = R/100 = 3.5%/100 = 0.035 per year.

Solving our equation:

A = 1500(1 + (0.035 × 30)) = 3075

A = $3,075.00

$3,075.00 is the total amount accrued from simple interest on a principal of $1,500.00 at a rate of 3.5% per year for 30 years (principal plus interest). In a 30-year loan with a £1,500.00 principal and a 3.5% interest rate, Sarah-Jane will save UK £1,575.00. The original UK £1,500 doubled, so it is unquestionably a smart investment.

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help me please can you solve this for meh

Answers

Answer: 6w^3-3+18u^2

Step-by-step explanation:

1+1+1-1-5-5r-3-3--2-6--4

Answers

Step-by-step explanation:

1 + 1 + 1 - 1 - 5 - 5r - 3 - 3 --2 - 6 --4

3 - 1 - 5 - 5r - 3 - 3 -- 2 - 6 -- 4

2 - 5 - 5r - 3 - 3 -- 2 - 6 -- 4

-3 - 5r - 3 - 3 -- 2 - 6 -- 4

-5r - 6 - 3 + 2 - 6 + 4

-5r - 9 + 2 - 6 + 4

-5r - 7 - 6 + 4

-5r -13 + 4

-5r - 9

This is the furthest it can be reduced to if you're not trying to find the value of r.

Hope this helps! :)

The figure shows rectangle RSTW. Which of the following conditions satisfies the criteria for rectangles?




a. m∠SRZ = 40°


b. m∠STZ = 40°


c. m∠SRW = 80°


c. m∠TWR = 80°

Answers

For the given rectangle RSTW, the condition satisfies the criteria of rectangles is equal to m ∠SRZ = 40°.

As given in the question,

In the given figure of rectangle RSTW,

Conditions satisfies the criteria of the rectangles are as follow:

a. m ∠SRZ = 40°

Line segment SR is parallel to TW. TR is the transversal.

m ∠SRT = m ∠WTR ( Alternate interior angles)

T -Z - R

m ∠SRZ = m ∠WTZ = 40°

Given criteria is satisfies the criteria of rectangles.

b. m ∠STZ = 40°

All the interior angles of rectangle are of measure 90°

m ∠STW = 90°

m ∠WTZ = 40° (given)

m ∠STZ + m ∠WTZ = 90°

⇒ m ∠STZ = 50°

Given option does not satisfies the criteria of rectangles.

c. m ∠SRW = 80°

All the interior angles of rectangle are of measure 90°

Given option does not satisfies the criteria of rectangles.

d. m ∠TWR = 80°

All the interior angles of rectangle are of measure 90°

Given option does not satisfies the criteria of rectangles.

Therefore, for the given rectangle RSTW, the condition satisfies the criteria of rectangles is equal to  m ∠SRZ = 40°.

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does anyone know how to solve this questions im confused. Thank you so much is you help!

Answers

Answers:

[tex]g(f(\text{x})) = -3\text{x}^2+3[/tex]

[tex]g(f(2)) = -9[/tex]

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

Explanation:

Let's compute g(f(x))

We do this by starting with the outer function g(x). Then replace every x with f(x). Then plug in the definition of f(x) as shown below.

[tex]g(\text{x}) = \text{x}-1\\\\g(f(\text{x})) = f(\text{x})-1\\\\g(f(\text{x})) = 4-3\text{x}^2-1\\\\g(f(\text{x})) = -3\text{x}^2+3\\\\[/tex]

At this point, we then plug in x = 2 so we can find that...

[tex]g(f(\text{x})) = -3\text{x}^2+3\\\\g(f(2)) = -3(2)^2+3\\\\g(f(2)) = -3(4)+3\\\\g(f(2)) = -12+3\\\\g(f(2)) = -9\\\\[/tex]

2
4x + 1
4
3
6
5
2x + 41
7
What is the value of x?
V

Answers

Answer:

x = 20

Step-by-step explanation:

4x + 1 and 2x + 41 are alternate exterior angles and are congruent , then

4x + 1 = 2x + 41 ( subtract 2x from both sides )

2x + 1 = 41 ( subtract 1 from both sides )

2x = 40 ( divide both sides by 2 )

x = 20

10% of the 70 students in the school orchestra are performing a solo at the spring concert. How many students are performing a solo?

Answers

Answer:

7 soloists

Step-by-step explanation:

10%   is  .1 in decimal form

70  x  0.1 = 7 soloists

Answer:

Step-by-step explanation:

Which of the following numbers are perfect squares?
Select all that apply.
A 27
B 36
C 108
D 121

Answers

Answer:

B 36

Step-by-step explanation:

36 = 6×6 = 6^2

6^2 is a perfect square

B 36
6x6 = 6^6
That should help

What is the equation of a line that passes through the point (2, −10) and is parallel to 14x+2y=6 ?

Enter your answer in the box.

Answers

The equation of the line passes through (2, -10) and to parallel to 14x +2y =  6 is 7x + y = 4

In the above question,

The equation of the line = 14x + 2y = 6

2y = 6 - 14x

y = [tex]- \frac{14x - 6}{2}[/tex]

y = -(7x - 3)

y = -7x + 3

The inclination of a line with respect to the horizontal is measured numerically is called as Slope

Slope of the given line = -7

The slope of a line parallel to the given line would be the same as they both are parallel to each other, hence the needed line's slope is also -7

The point through which is passes = (2, -10)

We need to find the equation of the line which passes through (2, -10) and to parallel to 14x +2y =  6

The equation of a line parallel to the given 14 x + 2 y = 6, and passing through the point (2, -10) is

[y - (-10)] = (-7)[x - 2]

y + 10 = -7x + 14

7x + y = 14 - 10

7x + y = 4

Hence, the equation of the line passes through (2, -10) and to parallel to 14x +2y =  6 is 7x + y = 4

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8. Give the slope of y + 2 = 3(x-7) and a point on the line.
a. The slope is 3 and (-7, 2) is on the line.
b. The slope is 3 and (7, -2) is on the line.
c. The slope is 2 and (7, 3) is on the line.
d. The slope is 7 and (3, 2) is on the line.
9. What is the point-slope equation of the line containing the points (3, 3) and
(6,5)?
a. y - 3=(x-3)
b. y 3 = (x + 3)
c. y + 3 =(x-3)
d. y + 3 = 3(x - 2)
10. The slope of a given line is 3. The line that is parallel to it has a slope of:
a. -3
b. ½
C. -1
d. 3
11. The slope of a given line is 4. The line that is perpendicular to it has a slope of:
a. -4
b. -
C. 4

Answers

Answer: b c

Step-by-step explanation:

Sandra saves 9% of her salary for retirement. this year her salary was $3,000 more than in the previous year, and she saved $4,050. what was her salary in the previous year?

Answers

Answer:

She earned $42,000 in the previous year

Step-by-step explanation:

9% can be rewritten as 0.09

0.09x is 4050

divide both sides by 0.09

0.09x becomes x

4050 becomes 45,000

then we subtract 3,000 from 45,000 to find the previous years salary

Rectangle 1 has an area on 60.81 square centimeters. Rectangle 2 has an area of 61.44 square centimeters. Rectangle 3 has an area of 35.52 square centimeters. Rectangle 4 has an area of 47.88 square centimeters. Part A “which two rectangles have the greatest difference in area?” Part B “Look at your answer to part A. What is the difference between those two rectangles areas?”

Answers

The most appropriate choice for area of rectangle will be given by-

Difference between area of rectangle 2 and area of rectangle 3 is the largest.

Difference is 25.92 [tex]cm^2[/tex]

What is area of rectangle?

Area of rectangle is the total space taken by the rectangle.

If l is the length of the rectangle and b is the breadth of the rectangle, then area of rectangle is given by

Area of rectangle = [tex]l \times b[/tex]

Here,

Area of rectangle 1 = 60.81 [tex]cm^2[/tex]

Area of rectangle 2 = 61.44 [tex]cm^2[/tex]

Area of rectangle 3 = 35.52 [tex]cm^2[/tex]

Area of rectangle 4 = 47.88 [tex]cm^2[/tex]

Difference between Area of rectangle 1 and rectangle 2 =

                                                                                             (61.44 - 60.81)[tex]cm^2[/tex]

                                                                                            = 0.63 [tex]cm^2[/tex]

Difference between Area of rectangle 1 and rectangle 3 =

                                                                                            (60.81 - 35.52)[tex]cm^2[/tex]

                                                                                             = 25.29 [tex]cm^2[/tex]

Difference between Area of rectangle 1 and rectangle 4 =

                                                                                             (60.81 - 47.88)[tex]cm^2[/tex]

                                                                                            = 12.93 [tex]cm^2[/tex]

Difference between Area of rectangle 2 and rectangle 3 =

                                                                                             (61.44 - 35.52)[tex]cm^2[/tex]

                                                                                            = 25.92 [tex]cm^2[/tex]

Difference between Area of rectangle 2 and rectangle 4 =

                                                                                            (61.44 - 47.88) [tex]cm^2[/tex]

                                                                                            = 13.56 [tex]cm^2[/tex]

Difference between Area of rectangle 3 and rectangle 4 =

                                                                                           (47.88 - 35.52) [tex]cm^2[/tex]

                                                                                            = 12.36 [tex]cm^2[/tex]

Difference between area of rectangle 2 and area of rectangle 3 is the largest.

Difference is 25.92 [tex]cm^2[/tex]

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Consider the population of a small town that grows according to the explicit rule: p = 53600 + 145 n, where n is the number of years after 2009. based on this model what is the population in 2022?

Answers

Answer:

p = 55485

Step-by-step explanation:

p =  53600 + 145 n

n = 2022 - 2009 = 13 years

so, p =  53600 + 145(13)

p = 55485

suppose the time to process a loan application follows a uniform distribution over the range 8 to 17 days. what is the probability that a randomly sel

Answers

Answer:

0.2

Step-by-step explanation:

Ava is trying to add together 3/5 and 2/9
Her first step is to rewrite the fractions using their lowest common denominator.
What denominator should she use?

Answers

Answer:  45

Explanation:

The LCM of 5 and 9 is 5*9 = 45

This is the LCD of the two fractions.

3/5 = 27/45 after multiplying top and bottom by 92/9 = 10/45 after multiplying top and bottom by 5

So,

3/5 + 2/9 = 27/45 + 10/45 = 37/45

Given m∥n, find the value of x. 34°.

Answers

Answer: 34

Step-by-step explanation:

Vertical angles are congruent.

whats the equation for X 3?

Answers

we need to verify for each equation if x=3 is a solution. If we replace x by 3 in the first equation we get

[tex]\begin{gathered} 9\cdot3-7=20 \\ 27-7=20 \\ 20=20 \end{gathered}[/tex]

so the answer is letter A

Danae is choosing between two jobs. One job pays an annual bonus of $1,500 plus $120 per day worked. The second job pays an annual bonus of $2,500 plus $110 per day worked. Which equation can be solved to determine after how many days, d, Danae would make the same amount of money regardless of the job she chooses?

a.) 120d + 110d = 1,500 + 2,500
b.) 120 + 110 = 1,500d + 2,500d
c.) 120d + 1,500 = 110d + 2,500
d.) 120d + 2,500 = 110d + 1,500

Answers

The equation that can be solved to determine the number of days when both jobs would have the same cost is 120d + 1,500 = 110d + 2,500.

What is the equation?

The equations that would be formed would be linear equations. A linear equation is an equation that has a single variable that is raised to the power of one. A linear equation is a straight line when it is drawn on a graph.

The equation that represents the total bonus of the first job is: fixed pay + total variable pay

1,500 +( $120 x d)

1,500 + 120d

The equation that represents the total bonus of the second job is: fixed pay + total variable pay

$2,500 + ($110 x d)

$2,500 + $110d

When the amount at both jobs are equal, the two above linear functions would be equal

$2,500 + $110d = 1,500 + 120d

Combine similar terms together:

$2,500 - $1,500 = $120d - $110d

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