(3.07A MC)

The graph shows two lines, A and B:

A graph is shown with x and y axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 2, 6 with the ordered pair 5, 0. Another straight line labeled B joins the ordered pair 0, 2 with the ordered pair 6, 6.

Based on the graph, which statement is correct about the solution to the system of equations for lines A and B?

(3, 4) is the solution to both lines A and B.
(3, 4) is the solution to line A but not to line B.
(0, 2) is the solution to both lines A and B.
(0, 2) is the solution to line A but not to line B.

Answers

Answer 1

Answer:

(3, 4) is the solution to both lines A and B.

Step-by-step explanation:

Given

Line A with points (2, 6) and (5, 0)Line B with points (0, 2) and (6, 6)

Lets get the equations for both lines

Line A

y = mx + bm = (0 - 6)/( 5 - 2) = -26 = 2*(-2) + b ⇒ b = 6+ 4 = 10y = - 2x + 10

Line B

m = (6 - 2)/( 6 - 0) = 4/6 = 2/3b = 2 as per point (0, 2)y = 2/3x + 2

We got two equations:

y = -2x + 10 y = 2/3x + 2

Solving the system:

-2x + 10 = 2/3x + 28/3x = 8x = 3 ⇒ y = 4(3, 4)

Verifying answer options

(3, 4) is the solution to both lines A and B. YES(3, 4) is the solution to line A but not to line B.  NO(0, 2) is the solution to both lines A and B.  NO(0, 2) is the solution to line A but not to line B. NO
Answer 2

Answer:

(3, 4) is the solution to both lines A and B.

Step-by-step explanation:


Related Questions

The equation y = 17x describes the amount of money Lewis earns, where x is the number of hours he works and y is the amount of money he earns. The table shows the amount of money Carl earns for different numbers of hours worked. Carl’s Earnings Time (h) 3 5 8 10 Money earned ($) 45 75 120 150 (a) How much money does Carl earn per hour? Show your work on how you found the constant of proportionality for both. (b) Who earns more per hour? Justify your answer by comparing the two. Please use complete sentences. (c) Draw a graph that represents Carl’s earnings over time in hours. Remember to label the axes with the real world quantities that x and y represent.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Lewis :

y = 17x

x = number of hours worked

y = amount of money earned

Carl:

Carl’s Earnings Time (h) 3 5 8 10

Money earned ($) 45 75 120 150

(a) How much money does Carl earn per hour? Show your work on how you found the constant of proportionality for both.

Money earned = pay per hour * hours worked

$45 = pay per hour * 3

Pay per hour = $45 / 3 = $15

Hence, Carl's earning per hour = $15

(b) Who earns more per hour? Justify your answer by comparing the two. Please use complete sentences.

Lewis : y = 17x

Carl : y = 15x

Where $17 and $15, represents Lewis and Carl's hourly pay respectively.

Hence, Carl earns more.

(c) Draw a graph that represents Carl’s earnings over time in hours. Remember to label the axes with the real world quantities that x

Creative Section Let's simplify. a) 7 + (15-6) c) 4(2 + 6) + 4-3 (9-7) e) 40 ÷ 5 (16-48 ÷ 4) g) 62 + 2 {56 ÷ (4 × 2) - 5} i) 39-4 {16 (7-3)} - 23 k) 55 11 [120 ÷ 2{4+ (10 + 5-7)}] 1) (7 x 6) + 2 [{45 + 3(7 × 2 - 15 + 6)} + 4] Let's make the mathematical expressions, then simplify. a) 4 times the sum of 7 and 2. b) 7 times the difference of 12 and 8. c) 9 is subtracted from 2 times the sum of 7 and 4. d) 48 is divided by 3 times the difference of 15 and 11. f) The sum of 60 and 30 is divided by 10 and the difference of quotient 5. - b) 6 × (5 + 4) d) 32 (14-6) × 3 f) 35 - {15-(19 + 5)÷3} h) 5 (13 + 12 + 3 (2 x 2) -4} j) 25 - [90-5{9-(14-12)}] + 5​

Answers

The simplified expressions are:

a) 36

b) 28

c) 13

d) 4

f) 4

b) 54

d) 256

f) 28

h) 185

j) -30

Let's simplify the given mathematical expressions step by step:

a) 4 times the sum of 7 and 2:

4 * (7 + 2)

= 4 * 9

= 36

b) 7 times the difference of 12 and 8:

7 * (12 - 8)

= 7 * 4

= 28

c) 9 is subtracted from 2 times the sum of 7 and 4:

2 * (7 + 4) - 9

= 2 * 11 - 9

= 22 - 9

= 13

d) 48 is divided by 3 times the difference of 15 and 11:

48 / (3 * (15 - 11))

= 48 / (3 * 4)

= 48 / 12

= 4

f) The sum of 60 and 30 is divided by 10 and the difference of quotient 5:

((60 + 30) / 10) - 5

= (90 / 10) - 5

= 9 - 5

= 4

b) 6 times the sum of 5 and 4:

6 * (5 + 4)

= 6 * 9

= 54

d) 32 times the difference of 14 and 6:

32 * (14 - 6)

= 32 * 8

= 256

f) 35 minus the quantity of (15 minus the quotient of (19 + 5) divided by 3):

35 - (15 - ((19 + 5) / 3))

= 35 - (15 - (24 / 3))

= 35 - (15 - 8)

= 35 - 7

= 28

h) 5 times the quantity of (13 + 12 + 3 times (2 times 2) minus 4):

5 * (13 + 12 + 3 * (2 * 2) - 4)

= 5 * (13 + 12 + 3 * 4 - 4)

= 5 * (13 + 12 + 12 - 4)

= 5 * (37)

= 185

j) 25 minus the quantity of (90 minus 5 times the quantity of (9 minus (14 minus 12))):

25 - (90 - 5 * (9 - (14 - 12)))

= 25 - (90 - 5 * (9 - 2))

= 25 - (90 - 5 * 7)

= 25 - (90 - 35)

= 25 - 55

= -30

So, the simplified expressions are:

a) 36

b) 28

c) 13

d) 4

f) 4

b) 54

d) 256

f) 28

h) 185

j) -30

for such more question on expressions

https://brainly.com/question/12270624

#SPJ8

Which of the following numbers is written in scientific notation?
17
7.79
17 x 105
779x105
Choose the correct answer below.
CA. 7.79
B. 17x105
OC. 779x105
OD. 17

Answers

Answer:

OC

Step-by-step explanation:

y = x2 - 8x + 15
Axis of symmetry

Answers

Answer:

15

Step-by-step explanation:

Hello!

To calculate the axis of symmetry coordinates, you should use the following equation:

xa = -b/2a
ya = f(xa)

Then, let’s start with xa:
xa = -(-8)/2*1 = 8/2 = 4

ya = f(xa) = f(4) = (4)^2 - 8(4) + 15
f(4) = 16 - 32 + 15 = -1

So, the axis of symmetry coordinates are (4, -1).

LB. Johnson middle school

Answers

Answer:

What is this????

A rectangle has a length 12 less than twice its width. The perimeter is 60 cm. Find the dimensions of the rectangle

Answers

Answer:

24 by 4

Step-by-step explanation:

write the equation of the line that passes through (1,-4) and is parallel to the line y=5x-15.
*slope-intercept form

Answers

Answer:

y= 5x -9

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the gradient and c is the y-intercept.

y= 5x -15

Gradient of given line= 5

Since parallel lines have the same gradient, gradient of the line is 5. Thus, m=5.

Substitute m=5 into the equation:

y= 5x +c

To find the value of c, substitute a pair of coordinates.

When x =1, y= -4,

-4= 5(1) +c

-4= 5 +c

c= -4 -5

c= -9

Thus, the equation of the line is y= 5x -9.

The diagram below represents a Sideview of a bike ramp which is closest to the value of X

Answers

Answer:

x=26.68 inches

Step-by-step explanation:

The attached figure shows a triangular ramp. Height of the ramp is 6 inches and the base of the ramp is 26 inches.

We can use Pythagoras theorem to find the value of x as follows :

Hypotenuse²=base²+height²

So,

[tex]x^2=26^2+6^2\\\\x^2=712\\\\x=26.68\ \text{inches}[/tex]

Hence, the value of x is 26.68 inches

Select the correct answer. Which expression is equivalent to this polynomial? 9x^2 - 4
A. (3x + 2i)(3x - 21)
B. (3x - 2)(3x - 2)
C (3x + 2i)2
D. (3x + 2)2​

Answers

Step-by-step explanation:

Given expression is :

[tex]9x^2-4[/tex]

We can write it as :

[tex](3x)^2-2^2[/tex]

Now using identity : [tex]a^2-b^2=(a-b)(a+b)[/tex]

Here, a = 3x and b = 2

So,

[tex](3x)^2-2^2=(3x-2)(3x+2)[/tex]

Hence, the given expression is equivalent to (3x - 2)(3x + 2) .

The solution to the equation A = 9x² - 4 is given by A = ( 3x + 2 ) ( 3x - 2 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 9x² - 4   be equation (1)

On simplifying the equation , we get

a)

Let the equation be A = ( 3x + 2 ) ( 3x - 2 )

A = 3x ( 3x ) - 3x ( 2 ) + 2 ( 3x ) - 2 ( 2 )

On simplifying the equation , we get

A = 9x² - 6x + 6x - 4

A = 9x² - 4

Therefore , the value of A is 9x² - 4

Hence , the equation is A = ( 3x + 2 ) ( 3x - 2 )

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

The sum of 7 and the product of 3 and a number

Answers

Answer:

2.4 and round by the nearest ones place value

Which of the following can be represented by the equation y = 2x?

Table A:
x - 2, 4, 6
y - 3, 6, 9

A. Table A Only
B. Graph B Only
C. Table A and Graph B
D. Neither Table A nor Graph B

Answers

Answer:

B. Graph B Only

Step-by-step explanation:

A lake has an area of 63 800000 000 square metres.
Write this area in square kilometres, correct to 2 significant figures.

Answers

Answer:

63,800,000,000 square metres equals 63,800 square kilometres

Step-by-step explanation:

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three.

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other), the direct rule of three must be applied. To solve a direct rule of three, the following formula must be followed:

a ⇒ b

c ⇒ x

Being a, b and c the known numbers and x the unknown variable to be calculated you have:

[tex]x=\frac{c*b}{a}[/tex]

In this case, knowing that 1 square meter equals 1*10⁻⁶ square kilometers, the rule of three applies as follows: if 1 square meter equals 1.0 * 10-6 square kilometers, 63,800,000,000 square meters to how many square kilometers is it?

[tex]Area=\frac{63,800,000,000 square meters*1*10^{-6}square kilometers }{1square meter}[/tex]

Area= 63,800 square kilometres

63,800,000,000 square metres equals 63,800 square kilometres

Find The Value Of f(g(3))

Answers

Answer:

f(g(3) = 1

Step-by-step explanation:

f(g(3)

Step one: Plug in 3 for X

g(x)= 2x - 5  ->  g(3) = 2 * 3 - 5

Step two : Solve ( By Using PEMDAS)

g(3) = 6 -5

g(3) = 1

The pendulum on a grandfather clock swings from side to side once every second. If the length of the pendulum
is 7 feet and the angle through which it swings is 20°, how far does the tip of the pendulum travel in 1 second?

Answers

Answer:

Since the pendulum moves from side to side in 1 sec, the length of the arc covered by the pendulum in an oscillation will be the length travelled in 1 sec

From trigonometry, we know the relation:

Θ(in radians) = l / r (where r is the length of the pendulum and l is the length of arc travelled)

But first, we need to convert 20 degrees to radians

20 degrees = π/9 radians

r = 7 feet

Now, plugging these values in the equation:

π / 9 = l / 7

l = 7π / 9 feet

l = 2.44 feet (approx)

human is a social being justify the statement​

Answers

Step-by-step explanation:

We humans are social beings; we share mirror neurons that allow us to match each other’s emotions unconsciously and immediately. We leak emotions to each other. We anticipate and mirror each other’s movements when we’re in sympathy or agreement with one another—when we’re on the same side. And we can mirror each other’s brain activity when we’re engaged in storytelling and listening – both halves of the communication conundrum.

This view of the human state is directly contrary to the way most people think about communications. The old model has a sender, a message, a receiver, feedback and noise. It’s far too mechanistic and simple to describe adequately what’s really going on. It leaves out the communal nature of communications.

identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 720(0.23)

Answers

Answer:

It is

Step-by-step explanation:

If a is positive and b is greater than 1 , then it is exponential growth. If a is positive and b is less than 1 but greater than 0 , then it is exponential decay.

Answer:

77% decrease

Step-by-step explanation:

What is the x-intercept of the line with this equation −2x+12y=18?

Answers

Answer:

The x intercept is -9

Step-by-step explanation:

−2x+12y=18

To find the x intercept, let y=0

-2x + 12(0) = 18

-2x = 18

Divide each side by -2

-2x/-2 = 18/-2

x = -9

The x intercept is -9

Answer:

x-intercept of the given line is, (-9, 0)

Step-by-step explanation:

Substitute y = 0 and solve for x:

⇒-2x = 18

Divide both sides by -2 we get;

x = -9

Therefore, the x-intercept of the line is, (-9, 0)

Write a mathematical situation to represent the following expression: (-4) x 5

Answers

Answer:

Every time Jill loses a match in a video game, she loses 4 points. She loses 5 matches, and sits at -20 points

Step-by-step explanation:

Why do you think
being able to solve
a literal equation
for a variable
would be useful in
certain situations

Answers

Being able to solve a literal equation for a variable would be useful in certain situations because the variable represents what you need to find and the equation helps with that. For example, the variable can stand for time and distance.

Kerry invests $682 in a savings account that earns 5.4% compounded annually. Andy invests $682 in a savings account that earns 7% compounded annually. How much is in each of their accounts after 10 years and after 20 years?

Answers

1050.28 Kerry’s money (10years later)
1364.56 Kerry’s money(20years later)
1159.4 Andy’s money (10years later)
1636.8 Andy’s money(20 years later)

Help NOWWW NEED DONE IN AT LEAST 10 MINUTES (10 points

Answers

Answer:

Amount of space in a 3 dimensional object

Figure1: 36.5625ft^3

Figure2: .015625ft^3

Figure one is 2340 times larger than the second figure

Step-by-step explanation:

ASAP JUST ANSWER THX

Answers

Answer:

The second one

Step-by-step explanation:

Y=11/4x+3/2

(a) () = √ − 1 + 4 (b) ℎ() = {1
2
+ 3, < −2
4 − 2
, ≥ −2
Domain: __________________ Domain: ___________________
Range: __________________ Range: __________________

Answers

Answer:

Can you send me a picture or reformat this, It is unintelligible

[2 pts] What is the ratio of the median weekly earnings of the holder of a high school diploma only to the median weekly earnings of the holder of a bachelor's degree?

[2 pts] What is the ratio of the area of the red rectangle to the area of the blue rectangle in graph A? (The scale on the horizontal axis is 1 unit per grid mark.)

[2 pts] What is the ratio of the area of the red square to the area of the blue square in graph B? (The scale on the horizontal axis is 1 unit per grid mark.)

[2 pts] What is the ratio of the volume of the red cube to the volume of the blue cube in graph C? (The scale on the horizontal axis is 1 unit per grid mark and the bases of the prisms are squares.)

[2 pts] Explain which graph is the most misleading and give a mathematical justification for your answer.

Answers

a) The ratio of the median weekly earnings of the holder of a high school diploma only to the median weekly earnings of the holder of a bachelor's degree is 3:5.

b) The ratio of the area of the red rectangle to the area of the blue rectangle in graph A is 3:5.

c) The ratio of the area of the red square to the area of the blue square in graph B is 9:25.

d) The ratio of the volume of the red cube to the volume of the blue cube in graph C is 27:125.

e) The most misleading graph is graph C.

What is a scale factor?

In Mathematics and Geometry, a scale factor can be calculated or determined through the division of the dimension of the image (new figure) by the dimension of the original figure (pre-image).

Part a.

The ratio of the median weekly earnings of a high school diploma only to the median weekly earnings of a bachelor's degree is given by;

Median ratio = 750/1250

Median ratio = 3:5.

Part b.

The ratio of the area of the rectangles is given by:

Ratio of rectangle areas = (3 × 1)/(5 × 1)

Ratio of rectangle areas = 3:5.

Part c.

The ratio of the area of the squares is given by;

Ratio of square areas = (3 × 1)²/(5 × 1)²

Ratio of square areas = 9:25.

Part d.

The ratio of the volume of the cubes is given by:

Ratio of cube volumes = (3 × 1)³/(5 × 1)³

Ratio of cube volumes = 27:125.

Part e.

The most misleading graph is graph C because the distribution of depth, values, and shapes differ.

Read more on scale factor here: brainly.com/question/29967135

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Eddie is reading a novel for English class. Has been read 173 out of 480 pages about what percent of the book has he read

Answers

12 .k4 an wi wow wi aisiwiw sneeze eehuwwkwkwjwueieuehehehehrhrhrhrhrhrhruhrrhhrhrrhhrhheehhdhdhrhrrhyrueueueueururuueyftfxyfccygcghr

find the value of the derivative at the indicated point.
f(x)= 1/x, (1,1)​

Answers

Answer:

f(x)= 1/x ———> f’(x)=-1/x^2

f(x)= (1,1) ———> f’(x)= 0

y=2x^2-5x+12 in vertex form

Answers

Answer:

Y = 2(x - 5/4)^2 + 71/8

Suppose a coefficient matrix for a system has pivot columns. Is the system​ consistent? Why or why​ not? Choose the correct answer below. A. There is a pivot position in each row of the coefficient matrix. The augmented matrix will have columns and will not have a row of the form ​, so the system is consistent. B. There is a pivot position in each row of the coefficient matrix. The augmented matrix will have columns and will not have a row of the form ​, so the system is consistent. C. There is at least one row of the coefficient matrix that does not have a pivot position. This means the augmented​ matrix, which will have ​columns, could have a row of the form ​, so the system could be inconsistent. D. There is at least one row of the coefficient matrix that does not have a pivot position. This means the augmented​ matrix, which will have ​columns, must have a row of the form ​, so the system is inconsistent.

Answers

Answer:

A. There is a pivot position in each row of the coefficient matrix. The augmented matrix will have columns and will not have a row of the form ​, so the system is consistent.

Step-by-step explanation:

Based on Godel's second incompleteness theorem, a system is considered consistent only when the far-right column of the augmented matrix is not a pivot column.

However, given that every column of the coefficient matrix is a pivot column, then there are no top coefficients in the far-right column of the augmented matrix.

Hence, there is a pivot position in each row of the coefficient matrix. The augmented matrix will have columns and will not have a row of the form ​, so the system is consistent.

If two points on line l above have coordinates (0, A) and (2, −3), and the slope of the line is A, then what is the value of A?

Answers

Answer:

  -1

Step-by-step explanation:

The slope is given by ...

  (y2 -y1)/(x2 -x1)

We want this equal to A, so we have ...

  (-3 -A)/(2 -0) = A

  -3-A = 2A . . . . . multiply by 2

  -3 = 3A . . . . . . . add A

  A = -1 . . . . . . . . . divide by 3

The value of A is -1.

A Classify the four angles of the quadrilateral

Answers

Answer:

<A= right

<B= acute

<C= obtuse

<D= acute

Step-by-step explanation:

Other Questions
Suppose that ^1 and ^2 are unbiased point estimators for an unknown population parameter such that Var(^1)=12 and Var(^2)=22. (a) (2 pts) What are the values of E(^1) and E(^2) ? Why? (b) (2 pts) Define a new estimator ^3=a^1+(1a)^2 for constant 0 a) Define your candidate application experience. Is your jobs section easy to find on yourcompanys website?Is your job search function easy to use? Does it have filters?Is your job application mobile optimized (i.e., can someone easily apply on theirsmartphone)?b) What is the application process? (Does it involve telephone pre-screening, how many interviews, etc.?) Each recruiter and hiring manager must understand the strategy, approach, goals, and what they are expected to contribute.To ensure a successful hire, everyone on your team must buy into and understand the process, as well as what success looks like. As the person recruiting for the job (whether youre the recruiter or hiring manager), its up to you to ensure that this communication happens. Match each excerpt to its poetic structure. Why do atoms form bonds by donating, accepting or sharing electrons with other atoms?A. Bonding gives an atom the same number of electrons as a noble gas.B. Bonding changes all atoms into ions.C. Bonding breaks an atom into stable parts.D. Bonding gives an atom the same number of protons as a noble gas. For each of the following, graph isoquants that produce exactly 10 goods and 25 goods. Be sure to label a couple points in each case. a) f(K, L) = 1/2 min{K, L} b) f(K, L) = 5K^1/2 L^1/2 c) f(K, L) = 1/2K + 1/3L Biarritz Corp. is erowing quickly. Dividends are expected to grow at a rate of 9.61 percent for the next two years, with the growth rate falling off to =16 percent thereafter. If the required return is 14.71 percent and the company just paid a dividend of $2.73. what is the (Do not roune calculations and round your answer to 2 decimal places, e.g., 32.16: include a negative sign if the answer is negative.) For the 6th piece of your personal marketing plan, promotion, you will be detailing your plan for communicating your value to potential employers. For the next part of this plan, you should detail how you will promote yourself to others. Youve just created a fantastic elevator pitch, but have no one to give it to. How are you going to connect with employers? How can you make sure these employers experience your potential? Detail the use of several different promotional methods in which to "communicate the value of a product and persuade customers to buy it" Please use being an attorney as the job/profession example for this answer. simplify -10(3r+7)+7(4r+9) Which two resist materials are similar 20 pts) NaLi molecule (sec. 5.3, p.75) has a built-in polarization. The inter-atomic distance d=3.0A. If one would apply an electric field along the molecular axis to cancel the polarization, in which direction and what magnitude should the field be? Also determine the filed (direction and magnitude) to double the polarization. Use the energy levels given in the textbook (sec. 5.3), and Vss given in (6.6), p.95. Use V/cm for the unit of the electric field. VssVpp2 s(rr2)H2 s(rr1)d3r=82md22,=+832md22,Vsp=+2md22Vpp=82md22 Identify at least five (5) risks (including at least one (1)opportunity and at least one (1) hazard risk)that the Mediclinic group will face and propose controls for theserisks. Which statement is it, will mark brainlist to first 1 Briefly analyse the possible stages of successful businessgrowth that would have been evident in the growth of anorganisation. which region of the world was Ancient Israel in? A major distinction between prokaryotes and eukaryotes is the presence of membrane-bound organelles in eukaryotes. Describe the structure and function of two membrane-bound organelles other than the nucleus. The allocation of supply sources and markets to facilities has a significant impact on performance because it affects total production, inventory, and transportation costs incurred by the supply chain to satisfy customer demand.True False Rewrite the definition of the term as a biconditional statement. Two angles are vertical angles when their sides form two pairs of opposite rays. If an angle is vertical to another angle, then the angles do not form pairs of opposite rays. If two angles are vertical, then their sides form two pairs of opposite rays. An angle is vertical to another angle if and only if the angles do not form pairs of opposite rays. Two angles are vertical angles if and only if their sides form two pairs of opposite rays. Do the job Analysis for the 3 positions. Interview SubjectMatter Experts and come up with a 1 paragraph answer for each. m= 0 passes through the point (-1,3) please answer all of them. thank you!6 One of the significant disadvantages of the corporate form of organization is a. Sarbanes-Oxley b. no secondary market c. unlimited liability d double taxation e international exposure 7 $1,000 depo