The value of the function f(x) at x = - 2 is equivalent to 32.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis and results of the given problemGiven is that the average rate of change of the function f(x) on the interval -2 is less than or equal to [x] which is less than or equal to 4 is -3.5.
In the range of {- 2 ≤ x ≤ 4}, the rate of change of f(x) is -3.5. This means we can write -
r = {f(4) - f(-2)}/(4 + 2)
f(4) = 11 and [r] = - 3.5. So, we can write -
- 3.5 = {11 - f(-2)}/6
11 - f(-2) = -3.5 x 6
11 - f(-2) = - 21
f(-2) = 11 + 21
f(-2) = 32
Therefore, the value of the function f(x) at x = - 2 is equivalent to 32.
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Jerry can frame a room in 1 hour, while Jake takes 4 hours. How long would it take for them to frame a room working together?
Answer:
45 minutes
Step-by-step explanation:
If two people work together, the time it takes to frame will obviously be shorter. Since Jake Takes four times longer, he will only cut off a fourth of Jerry's time. Which is 15 mins. 60 mins - 15 mins = 45 mins.
The least common multiple that is divisible by both a and b is the smallest positive integer. It will take 4/5 hours for Jerry and Jake to frame a room working together.
What is LCM?The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.
Jerry can frame a room in 1 hour. Therefore, the rate at which Jerry frame the room is,
Rate of Jerry = 1/1 room per hour
= 1 room per hour
Jake can frame a room in 4 hours. Therefore, the rate at which Jake can frame the room is,
Rate of Jake = 1/4 room per hour
Now, the rate at which they two will work together is,
Rate of working together = 1 + 1/4 room per hour
= 5/4 room per hour
Further, the time it will take for the two of them to frame a room working together is,
Time = 1/Rate
= 4/5 hour
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Please help me! I’ll name you brainiest!!!
Answer:
80
Step-by-step explanation:
first, put in (5x-4) for the x in g(x).
g(f(x))=(5x-4)^2 -1
now, FOIL and simplify.
25x^2-40x+16-1
25x^2-40x+15
now, plug in -1 for x.
25(-1)^2-40(-1)+15
25+40+15
80
Determine whether this picture is an example of a function, relation, function and relation, or neither relation nor function
A:function only
B:Relation only
C:Neither function nor relation
D:Function and relation
Answer:
C:Neither funtion nor relation
C:Ni función ni relación
espero que te sirva marcarme como mejor respuesta PORFA y gracias
Answer:
relation only
Step-by-step explanation:
A relation is a set of one or more ordered pairs.
A function is a relation in which each element of the domain is paired with EXACTLY one element of the range.
The Vertical-Line Test: Given the graph of a relation, if a vertical line can be drawn that does not cross the graph in more than one place, it is a function.
Any vertical line drawn where x > -4 will cross the graph in more than one place.
Therefore, the graph is not a function, it is a relation only.
Simplify 4(3x - 1) = 2(6 + 2x)
14x - 13
8x -16
8 + 16x
14x + 13
Answer:
8 + 16x
Step-by-step explanation:
Convert 13/2 to a decimal using long division.
Answer:
6.5
Step-by-step explanation:
Divide 13 by 2 to get 6.5
Answer: 13/2 = 6 with a reminder of 1
Step-by-step explanation: Attached image should show you my work.
Simplify the following problem.
(-8+61) +(6+61)
Answer: -8+61 = 53 and 6+61 = 67
What is 4 + 8m < 2 (2m
4)
Answer:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
hhhhhhhhhhhhhhhhhuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu
Between which two consecutive integers does 85 square lie
Answer:
:)
Step-by-step explanation:
9 & 10
go add the snap carmel.bratz
Write the slope intercept form of the equation of the line through the given point with the given slope.
1) through: (3,4), slope = 2
2) through: (5,-5), slope=-6/5
Answer:
1) y = 2x-2
2) y = -6/5+1
Step-by-step explanation:
At the movie theatre's a medium, 44 oz., coke costs $8.80. What is the price per ounce?
2 cents per ounce.
Work
$8.80 divided by 44
Why is this number not in scientific notation?
36.5 x 10 6
which function has an inverse that is also a function?
Answer:
I think its the first one
The function that has an inverse function is{(-4,6), (-2,2), (4,2), (11,21).
What is an inverse function?An inverse function refer to a function which alter or cause changes to other function given.
Therefore, The function that has an inverse function is{(-4,6), (-2,2), (4,2), (11,21).
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A group of friends bought 6 movie tickets. they used a coupon for $2.00 off the cost of one of the tickets, and their total cost with the coupon was $50.50. write an equation that can be used to determine the regular cost C of each movie ticket
Answer:
each ticket is $8.75
Step-by-step explanation:
c=8$8.75
The equation that can be used to determine the cost of each movie ticket is C = $48.50 / 6.
What is the equation that can be used to determine the cost of each movie ticket?Total cost of the 6 movie tickets = (6 x cost of each ticket) - value of one coupon
50.50 = 6C - $2
Combine similar terms
$50.50 - $2 = 6C
$48.50 = 6C
Divide both sides of the equawtion by 6
C = $48.50 / 6
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700 borrowed using a simple interest for 6 years at a rate of 5%, what is the interest amount?
Answer:
210
Step-by-step explanation:
I= p x r x t
I = 700 x 5/100 x 6
I= 700 x 0.05 x 6
I= 210
What is 7+7 and 9-12
Answer:
Step-by-step explanation:
7+7= 14
And
9-12= -3
Compare 167.4 and 167.462.
Answer: <
Step-by-step explanation:
167.4=167.40 so 167.462 is greater. It’s correct. Trust me.
PLEASE HELP WILL GIVE BRAINLIEST PLSSSSS
Answer:
c
Step-by-step explanation:
Convert into linear equations
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The slack variables make up the difference between the sum of the utilizations and the limit. A separate slack variable is needed for each limit. As with the other variables, its minimum value is zero.
For ( ) ≤ lim constraints, the slack variables are on the left side of the equal sign:
( ) +s ≤ lim.
__
For ( ) ≥ lim constraints, the slack variables can be on the right side of the equal sign:
( ) = s + lim
The more usual representation in a linear programming matrix is ...
( ) - s = lim
__
Here, your constraints are "≤", so each equation will have a unique slack variable added to the left side sum.
Two supplementary angles. One angle is 25 more than the second angle, find the measure of the second angle. The measure of the second angle is
Answer:
77.5°
Step-by-step explanation:
Let s represent the measure of the second angle. Then the first angle is s+25. These two angles are supplementary, so their sum is 180:
(s+25) +s = 180
2s = 155
s = 77.5
The measure of the second angle is 77.5°.
1. Diego earns $10 per hour babysitting. Assume that he has no money saved
before he starts babysitting and plans to save all of his earnings. Graph how
much money, y, he has after x hours of babysitting
Step 1:
Step 2
Step 3:
The required expression for the Digo earning is y = 10x and the graph of the expression is shown.
Given that,
Diego earns $10 per hour babysitting. Assume that he has no money saved
before he starts babysitting and plans to save all of his earnings.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Let the hours of babysitting be x,
According to the question,
Hourly rate is $10 for x hour the total charge is,
y = 10x
Thus, the required expression for the Digo earning is y = 10x and the graph of the expression is shown.
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-3x - 8 = 10
Help. solve for X
Answer:
x= -6
Step-by-step explanation:
Answer:
x = -6
Step-by-step explanation:
can i have brainlest pls
Beverly wants to make 2 1/2 recipes of play clay for her daughter’s birthday party. How much salt will she need in all?
Answer: D
Step-by-step explanation:
To find the answer for this problem, you will need to convert all the terms into improper fractions. Since you want 2 1/2 of the recipe, you need to multiply by 2 1/2.
2 1/2 = 5/2
3 2/3 = 11/3
And then you would multiply and solve:
5/2 * 11/3 = 55/6
55/6 = 9 1/6
The answer is D :)
Answer:
There are 3 2/3 teaspoons of salt
Step-by-step explanation:
You have acummulated $85,000 in student loans that average 5% interest
Answer: The student will have to pay $900 per month including intrest and a portion of principal
If you had a bank that offered 6.1% interest and compounded money 4 times a year, how many years would go by until you could turn $6000 into enough to buy a brand new car ($12,000)?
Answer:
t = 11.45 years
Step-by-step explanation:
A = p(1+r/n)^nt
A = future value = $12000
P = present value = $6000
n = number of periods = 4
r = interest rate = 6.1% = 0.061
t = number of years = ?
t = log(A/P) / n[log(1 + r/n)]
= log(12000/6000) / 4[log(1+0.061/4)]
= log(2) / 4[log(1 + 0.01525)]
= 0.3010 / 4[log(1.01525)]
= 0.3010 / 4(0.00657)
= 0.3010 / 0.02628
= 11.45 years
How many liters are in 260 ounces?
Answer:
7.68912
Step-by-step explanation:
Find a degree 3 polynomial with real coefficients having zeros 1 and 2-2i and a lead coefficient of 1. Write P in expanded form. Be sure to write the full equation, including P(x)=.
Answer:
Step-by-step explanation:
complex roots always occur in pairs.
roots are 1,2-2i,2+2i
P(x)=a(x-a)(x-b)(x-c)
P(x)=1(x-1)[x-(2-2i)][x-(2+2i)]
=1(x-1)[(x-2)+2i][(x-2)-2i]
=(x-1)[(x-2)²-(2i)²]
=(x-1)[(x-2)²-4i²]
=(x-1)[x²-4x+4-4(-1)]
=(x-1)[x²-4x+4+4]
=(x-1)[x²-4x+8]
=x³-4x²+8x-x²+4x-8
=x³-5x²+12x-8
Add the fractions. Write your answer as a mixed number 3/5+4/5
Answer:
Step-by-step explanation:
3 + 4 = 7.
the denominator stays the same. You only add the numerators.
7/5 in mixed number form is 1 2/5 because 7 goes into 5 once. so kinda like 7 - 5 = 2. and the 2 goes on top now.
The graph of y = x4 - 2x2 + 1 is shown.
Answer:
the answer is89 why 838+3838+3838×908=72
what is 13,899 rounding to the thousands
Answer: 14,000
...............................
Answer:
Step-by-step explanation:
round 13,899 to the nearest thousands which would be
14,000
These two graphs show the same data. What is
different about the two graphs?
the vertical scale
the horizontal scale
the width of intervals
the starting values of the intervals
Answer:
A. (the vertical scale)
2nd part is the Bottom graph
Step-by-step explanation:
Answer:
A. The Vertical Scale
Step-by-step explanation:
the other one has more value than the other....And i got it right from
---------------------------------------E D G E N U I T Y 2 0 2 0--------------------------------------
hope this helps. :P