Answers
Answer:
No
Step-by-step explanation:
The height of the chair can be represented as a function of the height of table, if there is a constant variation between both heights. That is as one height increases, the other height decreases at the same proportion.
From the table, as the table height increases from 71 to 72 to 74 to 75, the chair height increases from 42 to 43 to 44 to 46. There is a direct variation but it is not constant. From 71 to 72, the height of table increases by 1 cm but from 74 to 75, the height increases by 2 cm.
Hence the height of the chair can not be represented as a function of the height of table
Related Questions
you will have amazing luck if you help me
Answers
Answer:
b
Step-by-step explanation:
because of the value of the area
b is the answer
On a coordinate plane, point Q is 0.5 units to the left and 1.25 units up. Point R is 1.25 units to the right and 0.5 units up. Point S is 0.25 units to the right and 0.25 units up. Point U is 0.25 units to the left and 0.25 units down. Point W is 0.5 units to the left and 1.25 units down. Point V is 0.5 units to the right and 1.25 units down. Which point is located at (–0.50, –1.25)? Point
Answers
Answer:
Point W
Step-by-step explanation:
Answer:
point W
Step-by-step explanation:
i did edge
Learning Task 1: Write and answer the following in your answer sheet
1. Evaluate the following polynomials in your answer sheet.
f(x) = x4 – 7x2 + 2x - 6
x=1
b. f(x) = 10x3 + 4x2 - 5
x = -3
f(x) = x4 + 5x3 - 2x + 3
a.
at
at
C.
find (2))2
2. Factor each polynomial completely using any method
(x + 1)(x2 – 5x + 6)
b. (x2 - * - 6)(x2 + 6x + 9)
x3 + 3x2 - 4x - 12
a.
C.
LABAR
Answers
Answer:
Evaluating Polynomials:
a. f(1) = -10
b. f(-3) = -239
c. f(2)² = 3125
Factoring Polynomials:
a. (x + 1)(x² - 5x + 6) = (x + 1)(x - 3)(x - 2)
b. (x² - x - 6)(x² + 6x + 9) = (x - 3)(x + 2)(x + 3)(x + 3)
c. x³ + 3x² - 4x - 12 = (x + 3)(x - 2)(x + 2)(x - 2)(x + 2)
A polynomial can be evaluated and factored by long division, factoring and synthetic division methods.
1. Evaluate polynomials
[tex]\mathbf{f(x) = x^4 - 7x^2 + 2x - 6}[/tex]
Substitute 1 for x
[tex]\mathbf{f(1) = 1^4 - 7(1)^2 + 2(1) - 6}[/tex]
[tex]\mathbf{f(1) = 1 - 7 + 2 - 6}[/tex]
[tex]\mathbf{f(1) = -10}[/tex]
[tex]\mathbf{f(x) = 10x^3 + 4x^2 - 5}[/tex]
Substitute -3 for x
[tex]\mathbf{f(-3) = 10(-3)^3 + 4(-3)^2 - 5}[/tex]
[tex]\mathbf{f(-3) = -270 + 36 - 5}[/tex]
[tex]\mathbf{f(-3) = -239}[/tex]
[tex]\mathbf{f(x) =x^4 + 5x^3 - 2x + 3}[/tex]
Substitute 2 for x
[tex]\mathbf{f(2) =2^4 + 5(2)^3 - 2(2) + 3}[/tex]
[tex]\mathbf{f(2) =16 + 40 - 4 + 3}[/tex]
[tex]\mathbf{f(2) =55}[/tex]
Square both sides
[tex]\mathbf{f(2)^2 =3025}[/tex]
Hence, the results of evaluating the polynomials are [tex]\mathbf{f(1) = -10}[/tex], [tex]\mathbf{f(-3) = -239}[/tex] and [tex]\mathbf{f(2)^2 =3025}[/tex]
2. Factor the polynomials
[tex]\mathbf{(x + 1)(x^2 - 5x + 6)}[/tex]
Expand
[tex]\mathbf{(x + 1)(x^2 - 5x + 6) =(x + 1)(x^2 - 2x - 3x + 6) }[/tex]
Factorize
[tex]\mathbf{(x + 1)(x^2 - 5x + 6) =(x + 1)(x(x - 2) - 3(x - 2) )}[/tex]
Factor out x - 2
[tex]\mathbf{(x + 1)(x^2 - 5x + 6) =(x + 1)(x - 3)(x - 2) }[/tex]
[tex]\mathbf{(x^2 - x - 6)(x^2 + 6x + 9)}[/tex]
Expand
[tex]\mathbf{(x^2 - x - 6)(x^2 + 6x + 9) = (x^2 +2x - 3x - 6)(x^2 + 3x +3x + 9)}[/tex]
Factorize
[tex]\mathbf{(x^2 - x - 6)(x^2 + 6x + 9) = [x(x +2) - 3(x + 2)][x(x + 3) +3(x + 3)]}[/tex]
Factor out x + 2 and x + 3
[tex]\mathbf{(x^2 - x - 6)(x^2 + 6x + 9) = [(x - 3) (x + 2)][(x + 3)(x + 3)]}[/tex]
Remove square brackets
[tex]\mathbf{(x^2 - x - 6)(x^2 + 6x + 9) = (x - 3) (x + 2)(x + 3)(x + 3)}[/tex]
[tex]\mathbf{x^3 + 3x^2 - 4x - 12}[/tex]
Factorize
[tex]\mathbf{x^3 + 3x^2 - 4x - 12 = x^2(x + 3) - 4(x + 3)}[/tex]
Factor out x + 3
[tex]\mathbf{x^3 + 3x^2 - 4x - 12 = (x^2 -4) (x + 3)}[/tex]
Apply the difference of two squares
[tex]\mathbf{x^3 + 3x^2 - 4x - 12 = (x -2)(x+2) (x + 3)}[/tex]
Hence, the results of factoring the polynomials are [tex]\mathbf{(x + 1)(x^2 - 5x + 6) =(x + 1)(x - 3)(x - 2) }[/tex], [tex]\mathbf{(x^2 - x - 6)(x^2 + 6x + 9) = (x - 3) (x + 2)(x + 3)(x + 3)}[/tex] and [tex]\mathbf{x^3 + 3x^2 - 4x - 12 = (x -2)(x+2) (x + 3)}[/tex]
Read more about polynomials at:
https://brainly.com/question/11536910
A cable company charges $70 per month for cable service to existing customers.
a. Write a linear equation representing the relationship between x, the number of months of service, and y, the total amount paid in dollars by an existing customer.
b. For new customers, there is an additional one-time $100 service fee. Repeat the previous problem for new customers.
c. When the two equations are graphed in the coordinate plane, how are they related to each other geometrically?
50 points to answer it. I need help it's the last question of my homework.
Answers
Answer:
a: y=70x
b: y=70x+100
c: They are parallel to each other, with equation b's line being 100 dollars above equation a.
Step-by-step explanation:
They both have the same slope (70), but new customers will have a y intercept of 100 because of the one-time fee.
c)
Step-by-step explanation:
everybody use their cable difference so when you graph out the amount of cable which come with data the previous customers data and cable rates would be different then the new customers and the company should be able to tell that . but it still does happen today
Peter has 36 shirts in his closet, 2/9 of the shirts are striped. If the remaining shirts
are solid, how many shirts is that? What fraction of Peters shirts are solid?
Answers
Answer:
28 shirts are sold
7/9 of the shirts are sold
Step-by-step explanation:
hope this helps <3
An individual rides a bike at a rate of 15 miles per hour for h hours. Write an equation that expresses the situation, let x be the independent variable and y be the dependent variable.
Answers
Answer:
15y+x
Step-by-step explanation:
Directions: Convert the following equations from standard form to slope-intercept form.
(10 points)
14. 4x + y = -1
15. 5x - 2y = 14
16. 10x - 2y = -6
17. 8x + y = 12
18. 6x - 10y = 20
Answers
y= 5/2x-7
y=5x+3
y= -8x +12
y= 3/5x-2
Tanner's employer pays 60% of his medical insurance. If the insurance costs $40
per week. How much Tanner and his employer pay for the entire year?
Answers
Answer:
Tanner's employer pays $1251.43 a year and tanner pays $834.29
Step-by-step explanation:
Solve the equation. 2/3 t=4/5
A. t= 2/15
B. t= 8/15
C. t= 1 and 1/5
D. t= 1 and 7/15
Answers
Answer:
it's C.
Step-by-step explanation:
make it braintliest please
A painter leans an 18 foot ladder against the house so that the base of the ladder is 4 feet away from the wall. Approximately how far up the side of the house does the ladder reach?
Answers
Answer: 17.5ft
Step-by-step explanation:
Use Pythagorean theorem
A^2 + B^2 = c^2 where c is the hypotenuse
The ladder leaning against the wall is the hypotenuse.
4^2 + b^2 = 18^2
16 + b^2 = 324
324-16 = b^2
308 = b^2
B = 17.5ft
Whiteboard markers cost $4.75 per set at an office supply store. Which equation can be used to determine the price, P, of n sets of these markers? (10 points)
a
P = 4.75n
b
n = 4.75P
c
P equals 4.75 over n
d
n equals 4.75 over P
Answers
Answer: P=4.75n
Step-by-step explanation:
Answer:
P=4.75n
Step-by-step explanation:
Is 9 correct if now what is it?
Answers
Answer:
4 + 5 = 9
girls: 4/9 (680)
boys 5/9 (850)
total 1530
there are 850 boys and 680 girls.
b) The price of a computer was $375. In a sale, the price was reduced by 15%. Calcuate the reduction
in the price of the computer
Answers
Find the product of each pair of complex conjugates.
(3 + 8i)(3 – 8i) =
Answers
Step-by-step explanation:
By Difference of Squares,
a² - b² = (a + b)(a - b).
=> (3 + 8i)(3 - 8i) = 3² - (8i)²
= 9 - 64i² = 9 - 64(-1) = 73.
If the simple interest on $6,000 for 10 years is $5,400, then what is the interest rate?
Answers
Answer:
9%
Step-by-step explanation:
p*r*t = Interest
$6000*x*10 years = $5400
interest ÷ time ÷ principal = rate
5400 ÷ 10 ÷ 6000 = 0.09
0.09 = 9%
Need help ASAP... 10 points!!
Answers
Answer:
I'm 89.73% sure that the answer is 90 degrees
Step-by-step explanation:
because you are on a right angle
a. The sum of a number and one is equal to one added to the number.
Answers
what is equal to 2/5
Answers
Answer:
0.4
Step-by-step explanation:
percentage: 40%
hope that helps!!
Help pleaseeeeeee I’m so lost
Answers
Answer:
yes no no yes
Step-by-step explanation:
Katie's baby took 3 naps. Each nap was of an hour long.
6
How long did the baby nap in all? Move numbers to the blanks to answer the question.
Answers
Answer:
18 naps
Step-by-step explanation:
We have the keyword each, so we are multiplying, so our equation is:
3 x 6 = 18
So, Katie's baby napped for 18 hours in all
Answer:
18 is the answer
Consider the line 2x+8y=8.
What is the slope of a line
parallel to this line?
What is the slope of a line perpendicular to this line?
Answers
Answer: parallel = - 1/4
Step-by-step explanation: perpendicular= 4
Answer:
Parallel = -1/4 ; Perpendicular = 4
Step-by-step explanation:
First, I'll put the line into slope-intercept form.
2x + 8y = 8
8y = -2x + 8
y = -1/4x + 1
Now we know that the slope is -1/4.
A parallel line would have the same slope of -1/4.
A perpendicular line would have a slope of 4.
Which is a factor of 72
Answers
Answer:
1,2,3,4,6,8,9,12,18,24,36 and72
Please help!!!———————-
Answers
f(n) = 2000 + 500(n-1)
Step-by-step explanation:
most logical explanation considering the other options make no sense
System of Equations : Money
Damian has been saving coins he finds on the ground for several months. So far he has found 37 coins that are either pennies or nickels. The combined value of his found pennies and nickels currently is $1.09. What is the system of linear equations, written using standard form, represents the situation if Damian found p pennies and n nickels.
Answers
Answer:
18 nickles 19 pennies
Step-by-step explanation:
value of 1 penny=$0.01
value of 1 nickle=$0.05
0.01p+0.05n=1.09
p+n=37
there are two methods for this system
I.substitution
p+n=37
p=37-n
we replace p in the first relation
0.01(37-n)+0.05n=1.09
0.37-0.01n+0.05n=1.09
0.04n=0.72
n=18 nickels
p+18=37
p=37-18=19 pennies
II.reduction
0.01p+0.05n=1.09
p+n=37
we multiply the second equation by 100
p+5n=109
p+n=37
we calculate the difference between the two relations
p-p+5n-n=109-37
4n=72
n=18
p+18=37
p=19
Find the slope intercept equation of the line.
Answers
The line passes through (6,3) and (-1,-8)
Answers
Answer:
OK AND CAN U TELL ME WHAT TO ANSWER SO I CAN HELP
Step-by-step explanation:
THIS IS THE LINE I DID ON A GRAPH
Answer:
=gitchie ggitchei yayadada
If the Cable Company offers cable for $110 a month but gives a 10% discount for new customers. Find the cost for the new customers.
answer quickly. Thank You!!
Answers
Answer:
$99
Step-by-step explanation:
10% of 110 is 11
110 - 11
99
Answer:
$99
Step-by-step explanation:
First do
10% of 110
Which is 11
Then do
110-11
Which is 99
So the answer is $99
A Porsche uses 2.5 litres of fuel every 2 kilometres it travels. How much fuel does it use if it travels 50 kilometres
Answers
1.25 * 50 = 62.5 litres
Solution: 62.5 litres of fuel
Answer:
The Porsche uses 62.5 liters in 50 kilometers
Step-by-step explanation:
Amount of fuel Porsche uses = 2.5/2 liters/kilometer
= 1.25 L/Km
Distance to be travelled = 50 kilometer
Amount of fuel used in 50 km = 1.25 * 50
= 62.5 Liters
Therefore the Porsche uses 62.5 liters in 50 kilometers
Happy to help :)
Which data sets have outliers? Check all that apply
14,21,24,25,27,32,35
15,30,35,41,44,50,78
16,32,38,39,41,42,58
17,23,28,31,39,45,75
18,30,34,38,43,45,68
Answers
Answer:
C.16, 32, 38, 39, 41, 42, 58
and
E.18, 30, 34, 38, 43, 45, 68
its C. & E.
they both have outliers lol
Find the least common multiple (LCM) of 4 and 5.
Answers
9514 1404 393
Answer:
20
Step-by-step explanation:
4 and 5 have no common factors*, so their least common multiple is their product:
4 × 5 = 20
The LCM of 4 and 5 is 20.
_____
* We're concerned with integer factors greater than 1. Of course, 1 is a factor of everything, We could say this as "no common prime factors". For computing the LCM, we really want the GCF (greatest common factor) for use in the formula ...
LCM(m, n) = mn/GCF(m, n)