Answer:
O1: b) linear, proportional
O2: a) linear, non-proportional
O3: c) nonlinear
Step-by-step explanation:
Recall that a proportional function can be drawn as a straight line (linear function) through the origin (0,0).
O1 is a proportional function since it is linear and goes through the origin.
O2 has a y-intercept of y = 5; therefore, it is not proportional because it does not go through the origin (0,0), although it is linear.
O3 resembles a quadratic function, which means it's not a linear function (nonlinear).
How do you write 1/12 as a decimal?
Answer:
I think it's 0.083
Step-by-step explanation:
Answer:
0.0833333 (3 is repeating)
Step-by-step explanation:
What is the area, in square feet, of the trapezoid below?
Answer:
68.75
Step-by-step explanation:
Measure the length of the parallel sides and add them together. Then multiply this number by the height of the area. Then multiply by ½ or divide by two to find the square footage of the trapezoid.
13.6 + 5.9= 19.5
19.5 + 8 = 27.5
27.5 x 5 = 137.5
137.5 x 1/2 = 68.75
What is it???????? Nada
Answer:
g(3)= -1
Step-by-step explanation:
from the graph f(3)= -1
so, g(3) = -4 * (-1) + 7 = 12
Simplify the following surd expressions
a)
[tex]7 \sqrt{3} - 2 \sqrt{3} + \sqrt{3} - 3 \sqrt{3} [/tex]
b)
[tex]5 \sqrt{7} + 4 \sqrt{7} - 8 \sqrt{7} [/tex]
Answer:
a) 3√3b) √7Step-by-step explanation:
a)
7√3 -2√3 + √3 - 3√3 =√3(7 - 2 + 1 - 3) =√3*3 =3√3b)
5√7 + 4√7 - 8√7 =√7(5 + 4 - 8) =√7*1 =√7plzz helpp guys
At the beginning of an environmental study, a forest covered an area of 1500 km . Since then, this area has decreased by 2.4% each year. Lett be the number of years since the start of the study. Let y be the area that the forest covers in km². Write an exponential function showing the relationship between y and t.
Answer:
[tex]y = 1500(0.024)^t[/tex]
Step-by-step explanation:
Given
[tex]a = 1500km[/tex] -- initial area
[tex]b = 2.4\%[/tex] -- rate
[tex]t = time[/tex] --- (years)
Required
Represent as an exponential function
An exponential function has the form:
[tex]y = ab^t[/tex]
Where
[tex]a = initial\ value[/tex]
[tex]b = rate[/tex] and [tex]b \ne 1[/tex]
[tex]t= time[/tex]
Substitute values for a and b, we have:
[tex]y = 1500 * (2.4\%)^t[/tex]
Convert percentage to decimal
[tex]y = 1500 * (0.024)^t[/tex]
[tex]y = 1500(0.024)^t[/tex]
Hence, the exponential function that represents the scenario is: [tex]y = 1500(0.024)^t[/tex]
Divide. Write the quotient in lowest terms.
5 divide 3 1/3
Answer:
3/2 or 1 1/2
Step-by-step explanation:
5÷3 1/3
5/1 ÷ 10/3 because you have to get it into an improper fraction form in order to divide
5/1 × 3/10 because you have to multiply the first number by the reciprocal
5 and 10 cancel out so you would have 2 at the bottom
3/2 or 1 1/2
Renting roller blades costs a flate fee of $5 plus an additional $2.50 per hour. Write a linear equation that models this.
Answer:
Linear equation : y = 2.50h + 5
Step-by-step explanation:
Given that:
Fee for renting roller blades = $5
Per hour charges = $2.50
Let,
h be the number of hours roller blades were rented
y be the total amount
Total amount = Per hour charges * Number of hours + Flat fee
y = 2.50h + 5
Hence,
Linear equation : y = 2.50h + 5
Gerald read 6/7 of a book. Mary read 2/7 of the same book.
How much more of the book did Gerald read?
Answer:
4/7
Step-by-step explanation:
6/7-2/7=4/7
Answer:
I believe that the answer is 4/7
Need help ASAP giving 35 points and giving a branliest
Answer:
B. 1 1/9 ft³Step-by-step explanation:
Sides of the prism:
2*1/3 = 2/3 ft3*1/3 = 1 ft5*1/3 = 5/3 ftVolume:
2/3*1*5/3 = 10/9 = 1 1/9 ft³The difference of two numbers is 18. Their sum is 66. What are the numbers? List the numbers from least to greatest.
please help me pleaseeee
Answer:
.45
Step-by-step explanation:
52+31=83
83-12=71
71+23=94
94=49=45
Select the correct answer.
Determine which equation has the same solutions as the given equation.
x2 − 10x − 11 = 0
A.
(x − 5)2 = 21
B.
(x − 10)2 = 21
C.
(x − 10)2 = 36
D.
(x − 5)2 = 36
Answer:
D. [tex]\displaystyle (x - 5)^2 = 36[/tex]
Step-by-step explanation:
All you are doing is converting this Quadratic Equation to a Vertex Equation in Vertex Form by completing the square:
[tex]\displaystyle [\frac{b}{2}]^2 \\ \\ x^2 - 10x - 11 = 0 → x^2 - 10x + 25 - 36 = 0→ (x - 5)^2 - 36 = 0 \\ \\ (x - 5)^2 = 36[/tex]
It is that simple, is it not?
I am joyous to assist you at any time.
Cory has a sister named Jessica. Jessica is 7
years older than twice Cory's age. Write an
expression that represents the relationship of
Jessica's age in terms of Cory's age, c.
Answer:
2c+7
Step-by-step explanation:
Jessica is 7 more than 2x Cory's age.
Given that Cory is c years old,
then Jessica is
2c+7
I hope this helps! :)
Please help please please ASAP please please
Step-by-step explanation:
ac is the answer
.............
7 #3
Solve the following two equations. Show all of your
steps in the line paper provided. Be ready to share your
work!
Equation #1: 3x + 6 = x - 24
Equation #2: 10 – 2m = 16
Answer:
x = -15
m = -3
Step-by-step explanation:
3x + 6 = x - 24
subtract the x from both sides to make the unknown variable on only one side of the equation
2x + 6 = -24
subtract the 6 from both sides to focus on the x
2x = -30
now divide both sides by 2 to get the x by itself
x = -15
that's your answer
10 - 2m = 16
subtract the 10 from both sides to focus on the m
-2m = 6
now divide both sides by -2 to get the m by itself
m = -3
that's your answer
What is the simplified form of
of (-7xº+5x²-x+6)-(-8x2 + x +3)?
ОА.
-x + 4x2 - x+3
OBX + 4x² - x+3
ocx - 4x² – 2-3
D. -15x + 6x? - X+9
Please I need help immediately
Note: Your answer choices remain a little unclear. But, I have solved the concept and solution, so you can easily figure it out.
Answer:
[tex]\left(-7x^0+5x^2-x+6\right)-\left(-8x^2+x+3\right)=13x^2-2x-4[/tex]
Step-by-step explanation:
Given the expression
[tex]\left(-7x^0+5x^2-x+6\right)-\left(-8x^2+x+3\right)[/tex]
solving the expression
[tex]=-7x^0+5x^2-x+6-\left(-8x^2+x+3\right)[/tex]
apply the rule: [tex]a^0=1,\:a\ne \:0[/tex]
[tex]=-7+5x^2-x+6-\left(-8x^2+x+3\right)[/tex]
[tex]=-7+5x^2-x+6+8x^2-x-3[/tex]
simplify
[tex]=13x^2-2x-4[/tex]
Therefore, the simplified form is:
[tex]\left(-7x^0+5x^2-x+6\right)-\left(-8x^2+x+3\right)=13x^2-2x-4[/tex]
Note: Your answer choices remain a little unclear. But, I have solved the concept and solution, so you can easily figure it out.
Day 1 is negative 4 dollars, day 2 is negative 2 dollars, day 3 is negative 3 dollars.
Sung borrowed money from his parents over the last three days. This is represented by the negative values in the table.
What is the total of the values?
What is the average of the values?
Answer:
-9 or $9 borrowed
$3 is the average
Step-by-step explanation:
-4 + -2 + -3 = -9
$9/3 days = $3
i need help with this
Answer:
Left space down: Right space down:
1 3
3 9
5 15
25 75
30 90
35 105
6th Grade Math! Can you please help?
Answer:it is c and d
Step-by-step explanation:
What is the range of the following numbers:
12,20,18,25,6
Answer:
19
Step-by-step explanation:
You need to find the biggest and smallest number; 25,6
Then you subtract 6 from 25
25-6=19
I hope this helps!!!!!!!
Answer:
19
Step-by-step explanation:
The range is the difference between the highest and the lowest number
So 6, 12, 18, 20, 25 and 25-6 = 19
y=x+3
y=x-3
Solve these equations
Answer:
what is x?
Step-by-step explanation:
Answer:
No solutions
Step-by-step explanation:
what is 41,250 written in scientific notation
Why is 41,250 written as 4.125 x 104 in scientific notation?
Solve the compound inequality 5 < k -2 < 11
Answer:
7 < k < 13
Step-by-step explanation:
5 < k -2 < 11
5 < k -2 < 11
+2 + 2 +2
—————————— ( Add 2 to all parts )
7 < k < 13
c2-1/4=0 equation maths
Answer:
c=1/8
Step-by-step explanation:
2c-1/4=0
2c=1/4
2c/2=1/4/2
c=1/4x1/2
c=1/8
Solve for x. I need help :,) thank you if you help!
Answer: if its a multiple of a 345 triangle then its congruent x is 36 if othersides ate multiples of 20 ie
Sides are
60 80 100 is a 345 right triangle
Step-by-step explanation:
To rent a certain meeting room, a college charges a reservation fee of $38 and an additional fee of $7.40 per hour. The history club wants to spend less then $75.00 on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for t.
Answer:
the anwser is 55 easy hope this helps;)
Step-by-step explanation:
x + 6 ≥ 4 and 3x + 5 ≤ 5
Please help please please ASAP
Answer:
choose the first one.
0.87
Answer:
Use your calculator
Step-by-step explanation:
Press the cos button COS( - should look like that... Then fill it out COS(30) make sure to add the closed parenthesis so you dont get an error. And then BAM you got your answer and dont have to look anymore up. XD
Lupe is the manager of the football team, and she has to plan a team dinner for Saturday night. She knows that one large pizza can feed 3 players and one sandwich tray can feed 4 players. Lupe needs to order enough food for the 72 players on the team. (a) Write a linear equation to represent the number of pizzas (x) and the number of sandwich trays (y) she could purchase to feed the football players.
Answer:
3x + 4y = 72
Step-by-step exlanation:
Number of pizzas = x
Number of sandwich trays = y
one large pizza can feed 3 players
one sandwich tray can feed 4 players
Total players = 72
The linear equation is
3x + 4y = 72
Find the circumference of a circle with radius of 18 in
Answer: 113.1 in.
Step-by-step explanation:
C=2πr=2·π·18≈113.09734in
Hope this helped! :)