Set of ordered pairs (x, y) could represent a linear function
B= {(-1,2), (2, 1), (5,0), (8, -1)}
Option B is correct
Linear FunctionLinear function is a function whose graph is a straight line .
SlopeSlope of a line tells us how steep the line is . Slope of a line is same at all the points.
Slope formula is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Lets find out slope of any two points in each option
A = {(-6,3), (-3,0), (0, -3), (3,-5)}
[tex]\frac{0-3}{-3+6} =-1\\\frac{-5+3}{3-0} =-\frac{2}{3} \\[/tex]
Slopes are not same
Lets check the second option
B={(-1,2), (2, 1), (5,0), (8, -1)}
[tex]\frac{1-2}{2+1} =\frac{-1}{3} \\\frac{0-1}{5-2} =\frac{-1}{3} \\\frac{-1-0}{8-5} =\frac{-1}{3} \\[/tex]
The slope of any two points are equal .
slope are same . So it represents a linear function .
C = {(-4,-7), (-1, -3), (2.0), (5,3)}
[tex]slope =\frac{-3+7}{-1+4}=\frac{4}{3} \\slope =\frac{0+3}{2+1}=\frac{3}{3}=1[/tex]
Slopes are not same . So it is not a linear function
D = {(-5, -8), (-2,-4), (1,1), (4,6)}
[tex]slope = \frac{-4+8}{-2+5}= \frac{4}{3} \\Slope = \frac{1+4}{1+2}= \frac{5}{3} \\\\slope = \frac{6-1}{4-1}= \frac{5}{3} \\[/tex]
Slopes are not same . so it is not a linear function .
Option B is correct.
Learn more information about 'linear function' here
brainly.com/question/2503612
What do Steven Hawking and Thomas Edison have in common?
The question is incomplete, the complete question is as follows:
What do Steven Hawking and Thomas Edison have in common
- Both men made mathematics discoveries
- Both men made discoveries that were well-received
- both men created technological inventions
- Both men used observations in their field of study
Answer:
- Both men made discoveries that were well-received
Step-by-step explanation:
Stephen Hawking and Thomas Edison were two great physicist or scientists, whose discoveries were well-recieved by all over the world.
Stephen Hawking gave theories in cosmology such as black holes that includes the second law, that states that black hole will never reduce its shape.
Thomas Edison was one of the great inventors in the history in different feilds such as mass communication, electric power generation, motion pictures, and sound recording. some of the inventions include Automatic Telegraph and tin foil phonograph.
They both have given scientific research and logics for their discoveries and so people accepted them.
Hence, the correct answer is " Both men made discoveries that were well-received ".
The answer is:
Both men made discoveries that were well-received.Which relationship is always true for the angles r, x, y, and z of triangle ABC? A triangle is shown with a leg extending past the top vertex. The vertices are labeled ABC. Angle y is located inside the triangle at vertex B. Angle z is located inside the triangle at vertex C. Angle x is located outside the triangle between beside vertex A and the extended leg. Angle r is located inside the triangle at vertex A. x + z = y 180 degrees − x = r x + y + z = 180 degrees x + y + z = 90 degrees
Answer:
y+z=x
Step-by-step explanation:
we know that
The Exterior Angle Property of a Triangle states that the measure of exterior angle of a triangle is equals to the sum of measures of its interior opposite angles
In this problem
Angle y and angle z are interior angles of triangle ABC and angle x is a exterior angle of triangle ABC
therefore
Applying the Exterior Angle Property of a Triangle
y+z=x
Hope This Helps!
Answer: (180 degrees − x = r)
Step-by-step explanation:
I took the test
Find the point P that partitions the line segment AB given the ratio.
A (3, 6) B(4, 3) with the ratio 2:1
(11 over 3,4)
(4,11 over 3)
(5, 8)
(10, 12 over 5)
Answer:
(11/3, 4)
Step-by-step explanation:
To calculate the coordinates of the point that partitions the line segment in the given ratio, we shall be using the internal division formula.
Mathematically, that is ;
= {(mx2 + nx1/(m+n), (my2 + ny1)/(m + n)}
m and n represents the ratios 1:2
(x1, y1) represents the coordinates of A
(x2,y2) represents the coordinates of B
From the question, let’s list out the individual values;
m = 2
n = 1
x1 = 3
x2 = 4
y1 = 6
y2 = 3
Substituting these values in the equation, we have;
(2(4) + 1(3)/(1+2) , (2(3) + 1(6)/(1 + 2))
= (8 + 3)/3 , (6 + 6)/3)
= (11/3, 12/3)
= (11/3 , 4)
If x is to 9 as 8 is to 12, then x is equal to _____
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
This is basically just a ratio in disguise. Ratios can be represented as fractions, and we can write these ratios to be equal to each other.
[tex]\frac{x}{9} = \frac{8}{12}[/tex]
We can solve for x using the cross products property:
[tex]9\cdot8=72\\\\72\div12=6[/tex]
Hope this helped!
Answer:
x=6
Step-by-step explanation:
We can write ratios to solve
x 8
----- = -----------
9 12
Using cross products
12x = 8*9
12x = 72
Divide by 12
x = 72/12
x =6
My question is, y=mx+b solve for b
Answer:
Step-by-step explanation:
- 5 – 8p = – 3p
What is the correct solution?
Answer:
p = -1
Step-by-step explanation:
Step 1: Write out equation
-5 - 8p = -3p
Step 2: Add 8p to both sides
-5 = 5p
Step 3: Divide both sides by 5
-1 = p
Step 4: Rewrite
p = -1
Answer:
P=-1
Step-by-step explanation:
-5-8p=-3p
+8p +8p
------------------
-5=5p then divide both sides by 5
P=-1
don't get any of this
Answer:
the value of the printer is going down over the years because it is getting older. all you need to do for this is label the x and y axis with the nbers on the graph and then fill it in
has ur teacher gone over how to fill in graphs yet?
tolong dibantu yah pliss..
Answer:
Step-by-step explanation:
a. 4/7 + 3/8 = 32/56 + 21/56 = 53/56
b. 2/5 + 5/8 = 16/40 + 25/40 = 41/40 = 1 1/40
c. 3/8 + 2/10 = 15/40 + 8/40 = 23/40
d. 4/5 + 2/6 = 24/30 + 10/30 = 34/30 = 1 4/30 = 1 2/15
e. 5/6 + 2/9 = 15/18 + 4/18 = 19/18= 1 1/18
f. 2/15 + 5/12 = 8/60 + 25/60 = 33/60 = 11/20
hewo, cuties. I hope chu all has goodday UwU
3 - 2= 1
8 / 2=4
1 x 3 =3
1 4 3 = ily uwu
Answer:
1 4 3 4 4 = ilyvm
1 4 3 3 = ilyt
Step-by-step explanation:
A bicycle wheel with diameter 16 inches rides over a screw in the street. The screw is on level ground before it punctures the bike’s tire. After the bike has moved forward another 56π inches, how high above the ground is the screw? Round to the nearest tenth of an inch. 4 inches 8 inches 12 inches 16 inches
Answer:
The correct option is;
16 inches
Step-by-step explanation:
The parameters of the motion given are;
The diameter, D of the bicycle = 16 inches;
The distance the bike moves (forward) after the screw punctures the tire = 56·π inches
We note that the circumference of the bicycle = π·D = π × 16 = 16·π inches
Therefore;
56·π inches/(16·π inches) = 3.5
Showing that the bicycle moves three and half complete turns (revolution) where after each complete turn, the screw starts from the bottom of the tire.
The height, h of the screw in the final half turn is given by the relation;
h = A×cos(Bx - C) + D
A = Amplitude of the motion = Diameter/2 = 16/2 = 8
P = The period of the motion 2·π/B
B·x = The angle described by the motion = Half of one revolution = π = 180°
C = Phase shift = π
D = The midline = Diameter/2 = 8 inches
Therefore;
h = 8×cos(π - π) + 8 = 16 inches
After the bike moves forward another 56·π inches the height of the screw = 16 inches.
Answer:
16 inches
Step-by-step explanation:
just took the assignment
Consider the expression below.
(a + 4)(a + 9)
For (x + 4)(x + 9) to equal 0. either (x + 4) or (x + 9) must equal
The values of x that would result in the given expression being equal to o, in order from least to greatest, are
and
Answer:
x = - 9, x = - 4
Step-by-step explanation:
Set (x +)(x + 9) equal to zero, that is
(x + 4)(x + 9) = 0
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x + 9 = 0 ⇒ x = - 9
Thus
x = - 9, x = - 4
Write the slope-intercept form of the equation of the line through the given points.
Answer:
12) [tex] y = -x - 5 [/tex]
Step-by-step explanation:
[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]
12) (0, -5), (-1, -4)
[tex] y - (-5) = \dfrac{-4 - (-5)}{-1 - 0}(x - 0) [/tex]
[tex] y + 5 = \dfrac{-4 + 5}{-1}(x) [/tex]
[tex] y + 5 = \dfrac{1}{-1}(x) [/tex]
[tex] y = -x - 5 [/tex]
Answer:
work is pictured and shown
The Johnson family is going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let ℎ represent the number of hours for which the Johnson family hires the design firm. Which of the following statements are true? Select all that apply.
Answer:
The Elegant Home Architects charges are less than Rock the House Digital Designs charges for hours worked more than 2.
If the number of hours worked is equal to 2 than both would charge the same and if the hours are less than 2 then Rock the House Digital Designs will be a better option .
Step-by-step explanation:
Let ℎ represent the number of hours for which the Johnson family hires the design firm.
Suppose the Johnson family hires the design firm for ten hours so h= 10
Then the charges by the Rock the House Digital Designs will be
$ 500 + 50(10)= $ 500+ $500= $1000
And the charges for the services by Elegant Home Architects will be
$75.00(10) = $ 750
Therefore the Elegant Home Architects charges are less than Rock the House Digital Designs charges.
But if the number of hours worked is equal to 2 than both would charge the same and if the hours are less than 2 then Rock the House Digital Designs will be a better option .
Rock the House Digital Designs
For 2 hours
$ 500 + 50(2)= $300
For 1 Hour
$500 + 50 (1)= $ 550
Elegant Home Architects
For 2 hours
$75.00(2) = $ 300
For 1 Hour
$75.00(1) = $ 75
Face east, turn through an angle of 180 degree to your right, your final direction will be _________________.
east
north
south
west
Calculate the length of the third side of a triangle where AB = 6cm, BC = 8cm.
7cm
9cm
10cm
12cm
Pick out the sets of number that is NOT Pythagorean triples.
9, 40, 46
16, 30, 34
10. 24, 26
50, 120, 130
No rushing, take your time and give accurate answers.
Answer:
West
10 cm
The first one
Simplest form 9/10-4/10 ?
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
9 - 4 = 5
[tex]\frac{5}{10}[/tex] = [tex]\frac{1}{2}[/tex]
Answer:
1/2
Step-by-step explanation:
4/10 = 2/5
9/10 - 2/5
LCD = 10
make the denominators the same as the LCD
9/10- 2x2 / 5x2
9/10 - 4/10
join the denominators
9-4/ 10
5/10 = simplify
=
1/2
A turf roller is 0.8m wide with a
diametrer of o.4m. find the area
of the lawn
covered in m², if the
roller rotates, 20 times
Answer:
≈ 20.11 m²
Step-by-step explanation:
Area of lawn covered by one full rotation:
Ch = πdw, whereC= circumference of the roller, w = width of the roller, d = diameter of the rollerArea covered by 20 rotations of the roller:
20*πdw = 20π*0.4*0.8 ≈ 20.11 m²If the size of the matrix B is 4 × 5, the size of the matrix D is 4 × 2 and the order of the matrix E is 5 × 4, then the order of the matrix D^T × (BE) is:
Answer:
The order of the matrix D^T × (BE) is 2 × 4
Step-by-step explanation:
In the multiplication of matrix, the number of columns in the first matrix must be equal to the number of rows of the second matrix. The resulting matrix from the product will have the same number of rows as the first matrix and the same number of column as the second matrix. For example, given Matrix A of order (m × n) and Matrix Z of order ( n × k), the product of the two matrices will give a matrix ( say Y) of order (m × k).
AZ = Y
(m x n)(n x k) = (m x k)
Now, From the question,
The order of Matrix B is 4 × 5,
the order of the matrix D is 4 × 2
and the order of the matrix E is 5 × 4.
To determine the order of the matrix D^T × (BE)
First, will find the order of (BE)
Order of BE = (4 × 5) (5 × 4)
Order of BE = (4 × 4)
Hence, the order of matrix (BE) is 4 × 4.
Now, we will determine the order of matrix D^T
D^T means the transpose of matrix D.
The transpose of a matrix is defined as a new matrix whose rows are the columns of the original matrix and the columns of the new matrix are the rows of the original matrix. This means given Matrix A of order (m × n), the transpose of Matrix A (A^T) will have an order of (n × m).
The order of the matrix D is 4 × 2
Hence, the order of the transpose of matrix D (D^T) will be 2 × 4
Now, the order of the matrix D^T × (BE) will be
Order of the matrix D^T × (BE) = (2 × 4) × (4 × 4)
Order of the matrix D^T × (BE) = 2 × 4
Hence, the order of the matrix D^T × (BE) is 2 × 4.
The exam scores from the most recent math test are shown. What is the value of measure that best describes a typical math score?
93,88,76,91,92,96,100,96,74,
89,94,91
Answer:
I believe it would be "mean".
Step-by-step explanation:
Mean is an average of a set of numbers.
If DE= 4x–1, EF= 9, and DF= 9x–22 , find the value of x
Answer:
The correct answer is x = 6.
Step-by-step explanation:
To solve this problem, we first must recognize that DE + EF = DF.
From this information, we can set up the following equation when we substitute in the given values:
DE + EF = DF
(4x-1) + 9 = 9x - 22
Our first step is going to be to combine like terms on the left side of the equation. This is modeled below:
4x - 1 + 9 = 9x - 22
4x + 8 = 9x - 22
Then, we should subtract 4x from both sides of the equation.
8 = 5x - 22
Now, we can add 22 to both sides of the equation.
30 = 5x
Finally, we can divide both sides by 5.
x = 6
Therefore, the correct answer is x = 6.
Hope this helps!
Which of the following depicts a graph of a polynomial with a negative leading coefficient?
Answer:
Graph D.
Step-by-step explanation:
Hey there!
A coefficient is the number being multiplied by the variable,
Example: 5x - 5 is a coefficient
Graph d has a negative slope meaning the slope would be,
-1, -2, -3, -4, -5, ect.
So graph D is correct.
Hope this helps :)
The ratio of girls to the total number of students in class is 4 to 7. How many students are girls if class has 21 students in all?
Answer:
12
Step-by-step explanation:
There would be 12 girl students in a class of 21 students.
What is proportion?"A proportion is a mathematical statement where two or more ratios are equivalent."
We have been given that, the ratio of girls to the total number of students in class is 4:7
We need to find the number of girl students if the class has 21 students in all.
Let 'n' represents the number of girl students.
⇒ [tex]\frac{4}{7} = \frac{n}{21}[/tex]
⇒ [tex]4\times 21 = n\times 7[/tex] ......................(cross product)
⇒ [tex]84 = n\times 7[/tex]
⇒ [tex]n=\frac{84}{7}[/tex] ......................(Divide each side by 7)
⇒ [tex]n=12[/tex]
Hence, there would be 12 girls if class has 21 students in all.
Learn more about ratios and proportion here:
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someone pls help me !
Can anyone pls help with this question?
Simplify the following algebraic fraction.
Answer:
work is pictured and shown
16.When writing a repeating decimal as a fraction, does the number of repeating
digits you use matter? Explain.
Answer:
Yes. It needs to be clear that it is on going. So as long as it is evident that it repeats, you're good.
Step-by-step explanation:
granola sells for 2.75 per pound.how much will 7 pounds cost?
Answer:
19.25
Step-by-step explanation:
if it sells per pound you would just multiply by 7 because thats what your looking for
have a great day :)
Answer:
$19.25
Step-by-step explanation:
One lb of granola sells for $2.75. You are trying to find how much 7 pound costs. Multiply 2.75 with 7:
($2.75/1 lb of granola) x (7/7) = (2.75 * 7/7 lb of granola)
Simplify:
2.75 * 7 = 19.25
7 lbs of granola costs $19.25
~
Given this inequality. please solve for v. If you can explain your steps.
Answer:
v > -1
Step-by-step explanation:
v satisfies both these inequalities:
(*) -17 + 4v < 10v - 11
(**) 10v - 11 < 11v + 6
(*) <=> -17 + 11 < 10v - 4v
<=> -6 < 6v or 6v > -6
<=> v > -1
(**) <=> -11 - 6 < 11v - 10v
<=> -17 < v or v > -17
Combine (*) and (**)
--> Solution for this inequality is v > -1
Mr. DeLuca had $568.34 in a bank account. How much money did he have left in his bank account after he used his debit card two times, each time for $27.50?
Answer:
$513.34
Step-by-step explanation:
Mr. DeLuca used his debit card twice, each time for $27.50. This is a total of $55 spent.
$27.50 × 2 = $55
You now have to subtract the money spent from his bank balance.
$568.34 - $55 = $513.34
$513.34 was left in his bank account.
is 12 rational or irrational
Answer: Rational
Step-by-step explanation: 12 is a rational number because it can be expressed as the quotient of two integers: 12÷ 1
Simplify by combining like terms. Type the terms in alphabetical order. -5y+9x+9y+5x=
================================================
Explanation:
x is a variable or placeholder for a number. Think of it like a box.
1x = 1 box
2x = 2 boxes
and so on
9x = 9 boxes
5x = 5 boxes
9x+5x = 9 boxes + 5 boxes = 14 boxes = 14x
So that's one way to see how 9x+5x = 14x.
Or you could add the coefficients 9 and 5 to get 9+5 = 14. Then tack an x onto everything.
----------
The y terms are handled in a similar fashion.
-5y + 9y = 4y
which is the same as
9y - 5y = 4y
You could think of it like this
(9 yaks) - (5 yaks) = 4 yaks
So we started with 9 yaks and took away 5 of them to be left with 4 yaks.
----------
After getting the results 14x and 4y. We would then have the final answer 14x+4y
The x and y terms cannot be combined since they are not like terms. So we leave that expression as is.
What is an equivalent expression for s^-10 divided by s^3
Answer:
s^-13
Step-by-step explanation:
you subtract when it is division
s^-10 / s^3
-10 - 3 = -13
s^-13
Answer:
s^0.03333333333
Step-by-step explanation:
s^1/10 divided by s^3