5x - 3(x+1) = 2x - 3
Step-by-step explanation:
taking L.H.S
5x-3(x+1)
5x-3x-3
2x-3
proved
Answer:
True for all x
Step-by-step explanation:
Add similar elements 2x-3=2x-3
Add 3 to both sides
Simplify 2x=2x
Subtract 2x from both sides
Simplify 0=0
Both sides are equal True for all x
Find f (2) - 4 using the following equation.
f(x) = 5x – 2
f (2) - 4 =
Each year, votes are cast for the rookie of the year in a softball league. The voting results for the top three finishers are shown in the table below. How many points is a third-place vote worth?
Answer:
A third place vote is worth 1 point
Step-by-step explanation:
Let the number of points for a first place vote be x, number of points for a second place vote be y and the number of points for a third place vote be z.
So, by multiplying the number of points by the number of what the point is worth and adding all together, we shall have the total points;
Hence, we have the following equation systems;
23x + 5y + z = 131
5x + 17y + 4z = 80
x + 5y + 15z = 35
These are the three equations we need to solve simultaneously to get the value of z
From equation 3, x = 35 -5y -15z
Insert this into the first two equations;
23 ( 35 -5y -15z) + 5y + z = 131
5(35-5y-15z) + 17y + 4z = 80
805 - 115y -345z + 5y + z = 131
805-131 = 115y + 345z -5y - z
674 = 110y + 344z ••••••••••(*)
The second equation now becomes the following;
5(35-5y-15z) + 17y + 4z = 80
175 -25y -75z + 17y + 4z = 80
175-80 = 25y + 75z -17y -4z
95 = 8y + 71z
8y + 71z = 95 •••••••••••(**)
So we have to solve x and xx simultaneously;
110y + 344z = 674
8y + 71z = 95
110/8 = 13.75 , so multiply equation xx by 13.75 and equation x by 1
110y + 344z = 674
110y + 976.25z = 1306.25
Subtract equation xx from x
(976.25z - 344z) = (1306.25 -674)
632.25z = 632.25
z = 632.25/632.25
z = 1
What is the slope of the line passing through (16, -2) and (-30, 6)?
[tex]m=\frac{\Delta y}{\Delta x}=\frac{-2-6}{16-(-30)}=\frac{-8}{46}=\boxed{-\frac{4}{23}}[/tex].
Hope this helps.
What is z?
A. 54
B. 92
C. 88
D. 93
117 87 39 48 44 87
Cost of microscope is $269.95 markup is 43%
Answer:
386.0285
Step-by-step explanation:
Use the Distance Formula to find the distance between (−3, 7) and (8, −6) , rounded to the nearest hundredth.
Answer:
d= 17.03
Step-by-step explanation:
[tex]d=\sqrt{ (x_{2}-x_{1})+(y_{2}-y_{1})^{2}}\\\\d=\sqrt{(8--3)+(-6-7)^{2}}\\\\d=\sqrt{(11)+(-13)^{2}} \\\\d=\sqrt{121+169}\\\\d= \sqrt{290} \\\\d=17.03[/tex]
105 kilometers to miles
Answer:
65.244 miles
Step-by-step explanation:
google lol
Answer: 65.244
Step-by-step explanation:
.....
If (72)x = 1, what is the value of x?
Answer:
x= 1/72 or in decimal form 0.0138
Step-by-step explanation:
the 8 is repeating
Answer:
1/72
Step-by-step explanation:
The stone's height (in meters above the water), I seconds after Ricardo threw it, is modeled by
w(x) = -5(x – 8)(x +4)
How many seconds after being thrown will the stone reach its maximum height?
seconds
Answer: 2 seconds
-5(x-8) (x+4)
x-8=0 or x+4=0
x=8. or x=-4
Now we now the 2 x.
8+ -4/2 = 2 seconds
what is a compound interest
Answer:
Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest. It is the result of reinvesting interest, rather than paying it out, so that interest in the next period is then earned on the principal sum plus previously accumulated interest
Step-by-step explanation:
Please mark as brainliest
Answer:Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest.
Step-by-step explanation:
For each sequence, find the first 4 terms and the 10th term.
A) n+5
B)2n-1
Answer:
see explanation
Step-by-step explanation:
(a)
To find the first 4 terms substitute n = 1, 2, 3, 4 into the n th term formula.
a₁ = 1 + 5 = 6
a₂ = 2 + 5 = 7
a₃ = 3 + 5 = 8
a₄ = 4 + 5 = 9
For the 10 th term substitute n = 10, that is
a₁₀ = 10 + 5 = 15
The first 4 terms are 6, 7, 8, 9 and the 10 th term is 15
(b)
Substitute n = 1, 2, 3, 4 and 10 into the n th term formula
a₁ = 2(1) - 1 = 2 - 1 = 1
a₂ = 2(2) - 1 = 4 - 1 = 3
a₃ = 2(3) - 1 = 6 - 1 = 5
a₄ = 2(4) - 1 = 8 - 1 = 7
a₁₀ = 2(10) - 1 = 20 - 1 = 19
The first 4 terms are 1, 3, 5, 7 and the 10 th term is 19
Look at the attachment for the question please hurry!!!
Answer:
Neither
Step-by-step explanation:
The two lines going through those points to not intersect at a 90-degree angle.
8 times 10^5 + 5 times 10^4 = ? In scientific notation
Answer:
It's 8.5*10^5
Step-by-step explanation:
Given the following functions f(x)
============================================
Work Shown:
[tex]g(x) = \frac{(x-1)^2}{3}\\\\g(f(x)) = \frac{(f(x)-1)^2}{3}\\\\g(f(x)) = \frac{(1+\sqrt{3x}-1)^2}{3}\\\\g(f(x)) = \frac{(\sqrt{3x})^2}{3}\\\\g(f(x)) = \frac{3x}{3}\\\\g(f(x)) = x\\\\[/tex]
The idea is to start with g(x) and then replace every x with f(x). From there you plug in f(x) = 1+sqrt(3x) and simplify.
Algebraic terms are separated by ______.
Choose all that apply.
×
=
+
-
÷
Answer:
+
Step-by-step explanation:
each term in an algebratic expression is separeted by a+ sign or J sign
What is the angle of a in the above scalene triangle?
Ally works in a shop for $18 per hour. She is not allowed to work more than 40 hours a week but has to work at least 20 hours. State a reasonable domain for this problem.
Answer:
Hi there!
The domain is:
20<=x<=40
Step-by-step explanation:
This states that:
x>=20
x<=40
Which fits the problem!
Hope this helps
For a given function f(x) we define the domain as the set of possible values of x that we can use in the function.
Here we will find that the domain is D: [20h, 40h]
We know that Ally wins $18 per hour, and she has two restrictions:
She cant' work more than 40 hours.
She needs to work at least 20 hours.
Then her weekly salary can be written as:
s(x) = $18*x
Where x is the number of hours that she works each week.
With the above restrictions we have:
20h ≤ x ≤ 40h
Then the domain is:
D: [20h, 40h]
If you want to learn more, you can read:
https://brainly.com/question/16875632
John’s truck used 22 gallons of gasoline while traveling 175 miles. Which expression can be used to determine the truck’s miles per gallon fuel consumption?
Mi/gal.
Or In this case, the correct answer would be:
22/175
Miles per gallon basically means how many miles in one gallon.
So miles dived by gallon
If this helped, please mark branliest.
Answer:
Mi/gal
Step-by-step explanation:
I think. I’m not sure.
Juno and his 3 friends are evenly dividing the group rate cost for entrance to the zoo.
The group cost is n dollars. Write the expression that tells how much Juno will pay.
Answer:
1) Are dividing the group rate cost.
2) Multiplication.
3) Action is being performed on the variable.
4) n/4 or n [divided sign] 4
Step-by-step explanation:
Atleast this book tells you. but most times its a multi questioning test like online.
0.02 divided by 924.3
PLEASE HELP
Answer:
0.00002163799
Step-by-step explanation:
Answer:
0.00002163799
Step-by-step explanation:
Natalie budgets $146 for yoga training. She buys a yoga mat for $10 and spends $9 per day on yoga classes. Which inequality represents the number of days, d, that Natalie can take classes and stay within her budget?
f(x)= |x|; translation 3 units to the right followed by a translation 2 units up
Answer:
What is the question??
Step-by-step explanation:
I am confused.
In a bag of trail mix, for every 9 peanuts there are 7 pieces of chocolate. Write the ratio
of chocolate to peanuts.
Answer:
9 /9 + 7
= 56.25%
5.444444444444444444
5 if rounded
Step-by-step explanation:
How can you tell if there will be more than one solution for the geometric means? Why does this happen with the geometric means?
Answer:
a. We can tell if there will be more than one solution for the geometric means if the set of numbers is an even number.
b. This happens because, there are two possible values for the nth root of a set of even numbers.
Step-by-step explanation:
a. How can you tell if there will be more than one solution for the geometric means?
We can tell if there will be more than one solution for the geometric means if the set of numbers is an even number.
Since geometric means of n numbers from x₁,x₂, x₃,...,xₙ is
GM = ⁿ√x₁,x₂, x₃,...,xₙ .
Now, if n is an even number, the geometric means would have both a positive and negative value.
For example, if n = 2,
GM = ±√x₁,x₂ which is
GM = +√x₁,x₂ or -√x₁,x₂.
b. Why does this happen with the geometric means?
This happens because, there are two possible values for the nth root of a set of even numbers. For example if n = 2,
GM = ±√x₁,x₂ which is
GM = +√x₁,x₂ or -√x₁,x₂.
So, we have two possible values for the geometric means.
Evaluate the following expression when t= 2 .
t² – 44 - 4
Help please
Answer:
-44
Step-by-step explanation:
So you want to plug 2 in for t, so the equation should now look like:
[tex]2^{2}[/tex] - 44 - 4
No all you have to do is solve
[tex]2^{2}[/tex] = 4
4 - 44 = -40
-40 - 4 = -44
Answer:
-44
Step-by-step explanation:
t=2, t² - 44 - 4
1. substitute in the value to the variable: 2² - 44 - 4
2. using PEMDAS, solve the equation: 2² - 44 - 4 = 4-44-4 = -40-4= -44
(evaluate the exponent, then subtract)
Solve each equation algebraically. Show work. #1,#4,and #6
Answer:
In order to solve these, you must combine your variable terms and move them till they are isolated from your constants. Divide until the variable is alone on one side.
Answer:
1. 7
Step-by-step explanation:
1. 8y= 37+ 35
Subtract 3y from both sides of the equation:
8y - 3y = 3y + 35 - 3y
simplify:
combine like terms
than combine like terms again
5y= 35
Divide both sides of the equations by the same term:
5y = 35
[tex]\frac{5y}{5} = \frac{35}{5}[/tex]
simplify:
cancel terms that are in both the numberator and denominator
divide numbers
7
At top speed, a rabbit can cover 6 miles in 12 minutes. If a rabbit could
continue at this rate indefinitely, how long would it take the rabbit to
cross the 220-mile expanse of the Mojave Desert?
Answer:
440 minutes
Step-by-step explanation:
i just multiplied by 2
Solve the equation.
-10x + 1 + 7x = 37
O x= -15
O x= -12
O x = 12
O x = 15
Help please I will give brainliest!
Answer:
I believe it would be $1.25
Step-by-step explanation:
Since a lot of people bought doughnuts, that would probably be what most of them are spending their money on.