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 + 10Line B
m = (6 - 2)/( 6 - 0) = 4/6 = 2/3b = 2 as per point (0, 2)y = 2/3x + 2We got two equations:
y = -2x + 10 y = 2/3x + 2Solving 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. NOAnswer:
(3, 4) is the solution to both lines A and B.
Step-by-step explanation:
What is the x-intercept of the line with this equation −2x+12y=18?
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)
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?
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.
human is a social being justify the statement
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.
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.
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.
Write a mathematical situation to represent the following expression: (-4) x 5
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:
A rectangle has a length 12 less than twice its width. The perimeter is 60 cm. Find the dimensions of the rectangle
Answer:
24 by 4
Step-by-step explanation:
y=2x^2-5x+12 in vertex form
Answer:
Y = 2(x - 5/4)^2 + 71/8
A lake has an area of 63 800000 000 square metres.
Write this area in square kilometres, correct to 2 significant figures.
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 the derivative at the indicated point.
f(x)= 1/x, (1,1)
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
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
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LB. Johnson middle school
Answer:
What is this????
ASAP JUST ANSWER THX
Answer:
The second one
Step-by-step explanation:
Y=11/4x+3/2
Find The Value Of f(g(3))
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
Why do you think
being able to solve
a literal equation
for a variable
would be useful in
certain situations
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
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 )
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identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 720(0.23)
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:
write the equation of the line that passes through (1,-4) and is parallel to the line y=5x-15.
*slope-intercept form
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 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 ($) 45 75 120 150 (a) How much money does Carl earn per hour? Show your work on how you found the constant of proportionality for both. (b) Who earns more per hour? Justify your answer by comparing the two. Please use complete sentences. (c) Draw a graph that represents Carl’s earnings over time in hours. Remember to label the axes with the real world quantities that x and y represent.
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
Lewis :
y = 17x
x = number of hours worked
y = amount of money earned
Carl:
Carl’s Earnings Time (h) 3 5 8 10
Money earned ($) 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
Help NOWWW NEED DONE IN AT LEAST 10 MINUTES (10 points
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:
y = x2 - 8x + 15
Axis of symmetry
Answer:
15
Step-by-step explanation:
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
Answer:
B. Graph B Only
Step-by-step explanation:
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?
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)
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
[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.
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.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
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?
The diagram below represents a Sideview of a bike ramp which is closest to the value of X
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
A Classify the four angles of the quadrilateral
Answer:
<A= right
<B= acute
<C= obtuse
<D= acute
Step-by-step explanation:
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
Answer:
OC
Step-by-step explanation:
The sum of 7 and the product of 3 and a number
Answer:
2.4 and round by the nearest ones place value
(a) () = √ − 1 + 4 (b) ℎ() = {1
2
+ 3, < −2
4 − 2
, ≥ −2
Domain: __________________ Domain: ___________________
Range: __________________ Range: __________________
Answer:
Can you send me a picture or reformat this, It is unintelligible
