Answer: In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power. For example, 8xyz² and −5xyz² are like terms because they have the same variables and power while 3abc and 3ghi are unlike terms because they have different variables. Since the coefficient doesn't affect likeness, all constant terms are like terms.
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Answer:
by combining them like the ordinary like ordinary integers.
Step-by-step explanation:
For example we have
8x + 4y = 3x - 6
you will bring 3x to the left so it will become -3x
8x - 3x + 4y = -6
then combine like terms
there you have
5x + 4y = -6
The given:
8x + 4y = 3x - 6
8x - 3x + 4y = -6
5x + 4y = -6
answer for the example: 5x + 4y = -6
What does
non-proportional and
proportional
Answer: i don’t understand the question... are you asking what eacg of them mean?
Step-by-step explanation:
Answer:Proportional: ... How to tell the difference: A proportional graph is a straight line that always goes through the origin. A non-proportional graph is a straight line that does not go through the origin.
Step-by-step explanation:
evaluate the expression, (g◦f)(3), given the following functions.
f(x)=x+2 and g(x)=x
[tex]f(x) = x + 2\\g(x) = x\\(g \circ f) = g(f(x)) = x + 2\\g \circ f)(3) = 3 + 2 = 5[/tex]
Diana invested $3000 in a savings account for 3 years. She earned $450 in interest over that time period. What interest rate did she earn? Use the formula I=Prt to find your answer, where I is interest, P is principal, r is rate and t is time. Enter your solution in decimal form rounded to the nearest hundredth. Fr example, if your solution is 12%, you would enter 0.12.
Answer:
0.05
Step-by-step explanation:
we are given the formula
I = Prt, where
I = interest earned = $450
P = Principal amount = $3000
t = time = 3 years
r = rate (we are asked to find this_
Simply substitute the known values into the equation
I = Prt
450 = 3000 x r x 3
450 = 9000r
r = 450/9000
r = 0.05
Answer:
0.05
Step-by-step explanation:
Which of the following is not true?
[tex]4\pi > 12[/tex]
[tex]\sqrt{18 } + 2 < \frac{15}{2} [/tex]
[tex]6 - \sqrt{35} < 0[/tex]
[tex] \sqrt{16} + 4 > \sqrt{4} + 5[/tex]
Answer: 6 - √35 < 0
----------------------------
what is Arithmetic Series
Answer:
I am pretty sure it is when you have a sequence of numbers that you are subtracting or adding from by the same constant over and over
Step-by-step explanation:
an=a1+(n-1)d
d=common difference
an= the nth term in the sequence
a1 first term in the sequence. (Usually you can plug in 1, as the n, and work from there)
Is 0.040040004... a rational number? Explain your reasoning.
Choose the correct answer below.
Answer:
The quick answer: No.
Step-by-step explanation:
(pinquancaro)
Given : Number 0.040040004.....
To find : Is the number is rational or irrational ?
Solution :
Rational number is defined as number written in form of p/q where p and q are integers and q is non-zero.
Rational number is terminating and repeating.
Irrational number is defined as number which cannot be written in form of p/q.
Irrational number is non-terminating and non-repeating.
The number given is 0.040040004..... is non-terminating and non-repeating.
Therefore, The number 0.040040004..... is an irrational number.
PLEASE HELP
Which of the following is the inverse of f(x)=3-x/5
Answer:
f^-1(x) = 3 - 5x, second option
Step-by-step explanation:
To determine the inverse simply interchange the variables and solve for y;
f(x) = 3 - x / 5 -> Interchange the variables
x = 3 - y/5 -> Multiply either side by 5
5x = 3 - y -> Subtract three from either side
- y = 5x - 3 -> Divide either side by - 1
y = - 5x + 3
Your solution is f^-1(x) = 3 - 5x
g A population is infected with a certain infectious disease. It is known that 95% of the population has not contracted the disease. A test for this disease is 98% accurate (i.e., a person who has contracted the disease tests positive 98% of the time) and has a 1% false negative rate (i.e., a person without the disease has 1% positive rate). Find the probability that a random selected person from does not have the infection if he or she has tested positive. Briefly explain why you are or are not surprised by your result.
Answer:
There is approximately 17% chance of a person not having a disease if he or she has tested positive.
Step-by-step explanation:
Denote the events as follows:
D = a person has contracted the disease.
+ = a person tests positive
- = a person tests negative
The information provided is:
[tex]P(D^{c})=0.95\\P(+|D) = 0.98\\P(+|D^{c})=0.01[/tex]
Compute the missing probabilities as follows:
[tex]P(D) = 1- P(D^{c})=1-0.95=0.05\\\\P(-|D)=1-P(+|D)=1-0.98=0.02\\\\P(-|D^{c})=1-P(+|D^{c})=1-0.01=0.99[/tex]
The Bayes' theorem states that the conditional probability of an event, say A provided that another event B has already occurred is:
[tex]P(A|B)=\frac{P(B|A)P(A)}{P(B|A)P(A)+P(B|A^{c})P(A^{c})}[/tex]
Compute the probability that a random selected person does not have the infection if he or she has tested positive as follows:
[tex]P(D^{c}|+)=\frac{P(+|D^{c})P(D^{c})}{P(+|D^{c})P(D^{c})+P(+|D)P(D)}[/tex]
[tex]=\frac{(0.01\times 0.95)}{(0.01\times 0.95)+(0.98\times 0.05)}\\\\=\frac{0.0095}{0.0095+0.0475}\\\\=0.1666667\\\\\approx 0.1667[/tex]
So, there is approximately 17% chance of a person not having a disease if he or she has tested positive.
As the false negative rate of the test is 1%, this probability is not unusual considering the huge number of test done.
Find the sum. 60 (3n - 4) n=1 The sum is
Answer:
-60
Step-by-step explanation:
3x1=3
3-4=-1
60 x -1 = -60
select the correct answer what is the solution for X in the equation
2x-3x-18= -18+2x+5x
-4x – 7 – 3x + 4 = 25
X = ??? :)
$24 lunch;15% tip.
I NEED HELP
Answer:
3.60
Step-by-step explanation:
The amount of tip will be $3.6.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the restaurant bill for lunch is $24 and the tip given to the waiter is 15% of the total amount.
The total amount will be calculated as:-
Amount of tip = 24 x 15%
Amount of tip = 24 x 0.15
Amount of tip = $3.6
Hence, the tip amount will be $3.6
To know more about percentages follow
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how many license plates can you make when a license plate consists of 6 out of 26 alphabetical letters each of which can be repeated
Find the equation of the line in
slope Intercept form if the
line passes through the
points (-5, -1) and (-4, -1)
Answer:
y=0x-1
Step-by-step explanation:
Slope-int form: y=mx+b
Both points have the same y value and different x values, so the slope (m) is 0.
Since the y-intercept is (0, -1), b=-1
If f(x) = 1/9x-2, what is f^-1(x)?
Answer:
1/-9x-2
Step-by-step explanation:
Answer:
Can you tell me in what form
A scale on a drawing is 1in:5 feet.
Answer:
The scale is 1/60
Step-by-step explanation:
Figure A is a scale image of Figure B, as ahown.
The scale that map Figure A onto Gigure B is 1:3 1
-
2
Enter the value of X
Answer:
x = 15
Step-by-step explanation:
1:3 is also known as 3.
Any scale factor that is greater than 1 will be an increased dilation of the shape.
Figure A to Figure B:
5 • 3 = x
x = 15
The number of trout in America since 2000 is given by the following formula:
[tex]y=x^2+3x+2[/tex]
"x" is the number of years and "y" is the number of trout in the millions.
Based on this formula, estimate the number of trout in the years 2005, 2010, and 2015.
Describe the trend in the number of trout as the years increase.
Answer:
See below
Step-by-step explanation:
Given formula
y = x² + 3x + 2x- is the number of years after 2000,y - is the number of troutYear 2005, finding number of trout
x = (2005 - 2000) = 5y = 5² + 3*5 + 2 = 42 millionsYear 2010, finding number of trout
x = (2010 - 2000) = 10y = 10² + 3*10 + 2 = 132 millionsYear 2015, finding number of trout
x = (2015 - 2000) = 15y = 15² + 3*15 + 2 = 272 millionsNumber of trout is trending up with significant increase over yeas
Answer:
42 million132 million272 millionThe number of trout inceases a lot each 5 years that pass.Step-by-step explanation:
Number of trout in 2005.
Find the number of years apart from 2000 to 2005.
2005 - 2000 = 5
Substitute for x and solve for y.
y = x² + 3x + 2
y = (5)² + 3(5) + 2
y = 25 + 15 + 2
y = 40 + 2
y = 42 million
Number of trout in 2010.
Find the number of years apart from 2000 to 2010.
2010 - 2000 = 10
Substitute for x and solve for y.
y = x² + 3x + 2
y = (10)² + 3(10) + 2
y = 100 + 30 + 2
y = 130 + 2
y = 132 million
Number if trout in 2015.
Find the number of years apart from 2000 to 2015.
2015 - 2000 = 15
Substitute for x and solve for y.
y = x² + 3x + 2
y = (15)² + 3(15) + 2
y = 225 + 45 + 2
y = 270 + 2
y = 272 million
Best of Luck!
Toby plans to enroll for 2 semesters per year of college. How can he calculate the extra mo ey he needs for each semester? What is the amount that he needs per semester?
Hey there!
Sorry if I answered your question too late, but here is the answer!
Step-by-step explanation:
Toby will require $2,000 for expenses for one year of college. He plans to enroll for 2 semesters per year, so Toby has to divide $2,000 by 2 to find the expenses for each semester. He can set up the division as $2,000 ÷ 2 or 2 ⟌2,000.
Answer: He will need $1,000 for each semester.
You are free to use the Step-by-step explanation to show your work. Have a great day! :))
What is pi/π used for in math
Answer:
In basic mathematics, pi is used to find the area and circumference of a circle. Pi is used to find area by multiplying the radius squared times pi. So, in trying to find the area of a circle with a radius of 3 centimeters, π32 = 28.27 cm.
Answer:
Succinctly, pi or π is the ratio of the circumference of any circle to the diameter of that circle.
Have A Nice Day!!!!!!
:))))))
37 degree 79 degree what is the value of n
Answer:
64
Step-by-step explanation:
The angles all add up to 180. 37 plus 79 is 116. 180-116=64.
Hope this helped! If it did, please let me know by marking it the brainliest!
-4 1/2-(-2 2/3) step by step pls help if someone dosen`t answer i might fail pls if you do i will cashapp you 100 bucks just leave your cashapp in the answer
Answer:
you can use a calculator ( keep your money )
Step-by-step explanation:
Round 3528003 to the nearest million
Answer:
it would be rounded to about 4028003
Step-by-step explanation:
Answer:
4,000,000
Step-by-step explanation:
Find the value of the missing side. a=9 b=12 c=
Answer:
a=9b=12c=15
Step-by-step explanation:
Which one of these is the identity for addition?
Group of answer choices
0
1
-1
Answer:
Zero
Step-by-step explanation:
In math, an identity is a number, n, that when added to other numbers, gives the same number, n. The additive identity is always zero. This brings us to the identity property of addition, which simply states that when you add zero to any number, it equals the number itself
Answer:
Zero
Step-by-step explanation:
In math, an identity is a number, n, that when added to other numbers, gives the same number, n. The additive identity is always zero. This brings us to the identity property of addition, which simply states that when you add zero to any number, it equals the number itself
Step-by-step explanation:
please help me with this question!!!
What angle would it be?
Answer:
B
Step-by-step explanation:
because they both inside but in different sides
Simplify.
6 ( to the power of 2 )+4 ( to the power of 2
12
20
52
100
Answer:
6 times 6 = 12 + 4 times 4 = 16 so 12 + 16 =28
Step-by-step explanation:
Find the common difference of the arithmetic sequence -14,-5,4,...
Answer:
It goes up by 9 every time hope this helped <3
Answer:
9
Step-by-step explanation:
If x = 6 and y = 2, how much less is 2x+y^2 than 6x-2y^2
(the "^2" is an exponent of 2)
Answer:
8
Step-by-step explanation:
2x=12 2^2=4 6x=36
12+4=16 2^2=4 2*4=8 36-8=28
28-16=8
