The rate of change of a linear function is the slope of the function.
The rate of change is -7 and the initial value of the function is 27
The points are given as:
[tex]E = (0,27)[/tex]
[tex]F = (5,-8)[/tex]
The slope (m) is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{-8 - 27}{5-0}[/tex]
Rewrite the fraction as:
[tex]m = \frac{- 35}{5}[/tex]
Divide -35 by 5
[tex]m = -7[/tex]
So, the rate of change is -7
The initial value of the function is the value of the function when the input value (i.e. x) is 0.
At point E, we have: [tex]E = (0,27)[/tex]
So, the initial value of the function is 27
Read more about linear functions at:
https://brainly.com/question/15602982
The rate of change for the linear function is -7 and the initial value is 27.
write the sum and then write an equivalent expression by collecting like terms and removing parentheses the opposite of (5x - 1) and 5x
Answer:
remove the bracket 5x-1+5x collect like term 5x+5x-1
10x-1 is the answer
An online website rates restaurants that serve hamburgers on a scale from 0 to 10. The graph below shows the ratings of all the restaurants on the website and the costs of hamburgers at those restaurants.
If Ambrea deposits $4000 in the bank and there is a 3% interest rate, how long will it take her to save $7000
Answer:
I believe the answer is 25 years
Step-by-step explanation:
3% of 4000 is 120
3000 divided by 120 is 25
Answer:
25 years
Step-by-step explanation:
So you have $4000, with a rate of 3% interest.
You want to see how long it takes to save up to $7000.
Do,
3% of $4000 is $120.
It takes a year to get a interest.
And you need $3000 dollars.
Now do 3000 ÷ 120.
You get 25.
i just forgot this like ;-;
Answer:
[tex] \boxed{\bf \dfrac{64}{729} }[/tex]
Hence,
[tex]\boxed{\bf \: \bigg( \dfrac{2}{3} \bigg) {}^ {6} = \dfrac{64}{729}} [/tex]
Step-by-step explanation:
Given arithmetic expression is :-
[tex]\sf \longmapsto(2/3) {}^{6} [/tex]
This expression may be rewritten as :-
[tex]\sf \longmapsto \bigg(\dfrac{2}{3} \bigg) {}^{6} [/tex]
6 is the index and 2/3 is the base.
In words, this may be represented as 2/3 raised to the Power 6.
Let's calculate.
It means that 2 is raised to the power of 6 and 3 is also raised to the power 6.
That is,
[tex]\sf \longmapsto \dfrac{ {2}^{6} }{ { 3}^{6} } [/tex]
It will be represented as,
[tex]\sf \longmapsto \: \dfrac{2 \times 2 \times 2 \times 2 \times 2 \times 2}{3 \times 3 \times 3 \times 3 \times 3 \times 3} [/tex]
On Simplification:-
[tex]\sf \longmapsto \dfrac{64}{729} [/tex]
In Decimal:-
[tex]\sf \longmapsto0.08(approx .)[/tex]
______________________________________
I hope this helps!
Please let me know if you have any questions.
~MisterBrian
Question is on the pic!
Answer:
C
Step-by-step explanation:
C has 2 negative 2's on it, and 2 numbers on the x side cannot be the same.
Answer:
C
Step-by-step explanation:
If your x Collum has more than one of the same numbers so in this case -2 is there twice it's not a function
X 1 1 2 3 4
________________________________________________________
Y 0 3 4 2 6
this would not be a function because the one is at two different heights.
if you think of every number as a person and the y axis as height. two different people can be the same height but one person cannot be two different heights at the same time. if it's on a graph use the vertical line test take a vertical edge of a paper and run it across the graph if the edge of paper goes through more than one point it's not a function
If f(x) = 2x – 5, then what is the value of f(2) + f(5)
Answer:
4
Step-by-step explanation:
By showing your working clearly verify if x=19/20is the solution of the equation 2x-3/4=1/3x+5/6
need the answer asap
[tex]2x - \frac{3}{4} = \frac{1}{3} x + \frac{5}{6} \\ = > 2x - \frac{1}{3} x = \frac{5}{6} + \frac{3}{4} \\ = > \frac{6x - x}{3} = \frac{10 + 9}{12} \\ = > \frac{5x}{3} = \frac{19}{12} \\ = > x = \frac{19}{12} \times \frac{3}{5} \\ = > \frac{19}{20} \\ [/tex]
Therefore,
[tex]x = \frac{19}{20} [/tex]
verified.
Hope you could get an idea from here.
Doubt clarification - use comment section.
At a football stadium, 10% of the fans in attendance were teenagers. If there were 30 teenagers at the football stadium, what was the total number of people at the stadium?
Insert the values given in the problem then scale up or down to find the missing value.
Answer:
i believe the answer to this is a total of 300 people because you multiply the ten percent into the 30 people which factors out some numerical values, so then your answer as i just said is 300 people in total attended the game.
Step-by-step explanation:
NPM = __?__
Less than BAC
Less than CAB
Less than BCA
Less than ABC
Make t the subject of the formula q = 4+
2 - 4
t 3
Answer is given below in picture
I hope it helps.
The hypotenuse of a right triangle is 6 feet long. One leg is 2 feet longer than the other. Find the length of each leg to the nearest hundredth of a foot.
RS is the perpendicular bisector of TU. Find x and y
Answer:
x = 1
y = 30°
Step-by-step explanation:
is RS is ⊥ to TU then TS = US so we can use this equation to find 'x':
20x-3 = 5x+12
15x = 15
x = 1
we also know that RS intersecting with TU creates a 90° angle
if 3y = 90 then y = 30
combine k/4 and 5k
pls pls pls pls
[tex]\dfrac k4 + 5k = \dfrac{k + 20k}4 = \dfrac{21k}4[/tex]
Which of these is the correct root of the word judicial?
O A. jud = mankind
B. jud = book
C. jud = prophecy
O D. jud = law
SUBN
Árbol Factorial de 48
Answer:
Los factores de 48 son 1, 2, 3, 4, 6, 8, 12, 16, 24 y 48.
Jemma and Debra work as consultants.
They both get hired for a job. Jemma
charges a fee of $15 plus an additional
$22 per hour. Debra charges $20 per
hour. Write an expression that
represents how much money their
employer will have to pay both of them
after x amount of hours.
Answer:
22x+15=20x
Step-by-step explanation:
Jemma requires 22 dollars per hour, plus a 15 dollar original fee. Debra requires a 20 dollar fee per hour.
Answer:22x+15=20x
Step-by-step explanation:
Plz help me thx
Simplify:
Answer:
4
Step-by-step explanation:
note that [tex]\sqrt{x^2}[/tex] = x , then
[tex]\sqrt{(2-\sqrt{5})^2 }[/tex] + [tex]\sqrt{(2+\sqrt{5})^2 }[/tex]
= 2 - [tex]\sqrt{5}[/tex] + 2 + [tex]\sqrt{5}[/tex] ← collect like terms
= 4
WILL GIVE BRAINLIEST!
what are the values of a and b so the system of equations has infinitely many solutions?
y= -1/2x+b
y= ax + 15
Answer:
a: -1/2
b: 15
Step-by-step explanation:
A system that has infinite solutions is the same line on top of itself.
Hope that helps
write the slope intercept form of equation of line throug the given point a)parallel to b)perpendicular to given line
1) 4x-2y:3. (point 2,1)
2)x+y:7 point(-3,2)
This might not be right
one is y= 2x-3 and number two is y=-x-1
1) first you convert 4x-2y=3 into slope intercept form
y= 2x+ 3/2
then you change 3/2 to b
y=2x + b
then you plug in the point 2,1
(1)=2(2) + b
1=4+b
-3=b
after that you change the b in y=2x+b to -3
y=2x-3
2) after you convert it into slope intercept form (y=1x+b)
you have to change the x to a negative x because the line is perpendicular
y= -1x + b
then you plug in the point -3,2
2= -1(-3) + b
2= 3 + b
-1 = b
my Christmas present to you
Answer:
Step-by-step explanation:
if you need help let me know
Answer:
Thanks I guess…
Step-by-step explanation:
x/4-6=10 PLEASE HELP I NEED HELP ASAP
[tex]\huge \bf༆ Answer ༄[/tex]
Here's the solution ~
[tex] \sf \dfrac{x}{4} - 6 = 10[/tex][tex] \sf \dfrac{x}{4} = 10 + 6[/tex][tex] \sf \dfrac{x}{4} = 16[/tex][tex] \sf x = 16 \times 4[/tex][tex] \sf x = 64[/tex]Value of x is 64
will give brainliest!
Answer 4/5 now give brainliest
A school communoty had planned to reduce the number of grade 9 students per class room by constructing additional class room however they constructed 4 less rooms than they planned As the result tye number of students per class was 10 more than they planned if there are 1200 grade 9 students in the school determine the current number of class rooms and the number of students per class (I need instant help)
Here is my solution. I hope it is helpful.
for brainlist !!!!!!
Your parents decide to build a rectangular pool in your backyard. They determine that the length of the pool should be 15 feet longer than the width.
Your parents put in fencing around the walkway for safety. If 110 feet of fencing is used, what are the dimensions of the pool? Show your work.
Answer: =20 feet
= 35 feet
Explanation :
let width = a
length = a+15
Now,
2(2w+15)=110
2w=55-15
w=40/2
w=20
-6x+3y= -15 4x-3y= 13
Answer:
Equation form = x = 1, y = -3
Step-by-step explanation:
Point form = (1,-3)
if 3/15 is equivalent to 45/n. find n
Answer:
n = 225
Step-by-step explanation:
Multiply 15 by 15
find the value of 777^2 - 223^2
Answer:
549440
Step-by-step explanation:
777^2 = 603729
223^2 = 54289
603729 - 54289 = 549440
For any parallelogram what is not always true
Answer:
The diagonals are congruent.
Step-by-step explanation:
Answer:
1) The diagonals are congruent.
3) The opposite angles are congruent.
4) The opposite sides are parallel.
Step-by-step explanation:Two pairs of opposite sides are congruent. The diagonals are perpendicular to each other. 4 In parallelogram QRST, diagonal is drawn. Which statement must always be true?
if it does not work sorry
Which graph represents f(x) = -1/4 x^6
Answer:
answer is B
Step-by-step explanation:
I used Desmos to graph the function
Help help help help math
area=147 cm squared
7 x 7 = 49
49 x 3 = 147
