Answer:
x + 4x = 5x
Step-by-step explanation:
An identity is a mathematical equation that is always true (here - for all possible x's).
a). x + 4x = 5x; this is true, because for any possible x
x+4x = (1 + 4)x = 5x; there's not much to add.
b). 6x=18; evaluates to
x = 3; so it only works for one x, not all possible xs.
c). 2x + 1 = 7
2x = 6
x = 3; so it only forks for one x
d). 7x + 9 = x
6x + 9 = 0; we could compute the exact x it works for from here, but suffice to say this doesn't work for x = 0.
In between these given equations, x + 4x = 5x is the correct identity here.
What is an identity?"An identity is an equality relating one mathematical expression A to another mathematical expression B, such that A and B produce the same value for all values of the variables within a certain range of validity."
Given equations are:
1. x + 4x = 5x
⇒ 5x = 5x
This equation is true for all values of 'x'.
Hence, this is a correct identity.
2. 6x = 18
⇒ x = 3
This equation is true when x = 3.
3. 2x + 1 = 7
⇒ 2x = 6
⇒ x = 3
This equation is true when x = 3.
4. 7x + 9 = x
⇒ 6x = - 9
⇒ x = - 9/6
⇒ x = - 3/2
This equation is true when x = - 3/2.
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The graph shows two linear functions, f and g. Which formula BEST represents g(x)?
A)g(x) = 2f(x)
B)g(x) = 3f(x)
C)g(x) = 1/2f(x)
D)g(x) = 3/2f(x)
Answer: C
g(x) = 1/2 f (x)
Step-by-step explanation:
Answer:
Step-by-step explanation:
c
Write down in terms of n an expression for the nth term of the following sequence
12 16 20 24 28
Answer:
4n + 8
Step-by-step explanation:
Given the following 30-60-90 triangle , find the value of x and y Round to the nearest tenth x = 5.2 X = 6 Y = 6 Y = 5.2
Step-by-step explanation:
tan30° = Opposite/Adjacent = 3/x.
=> 3/x = √3/3, x = 3√3 = 5.2.
sin30° = Opposite/Hypotenuse = 3/y.
=> 3/y = 1/2, y = 6.
The correct answer is the 1st and 3rd options.
Answer:
[tex] \huge \boxed{ \boxed{ \sf \: x = 5.2 \atop\sf y = 6}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASgiven:[tex] \theta = {30}^{o} [/tex]opp:3to find:adjacent (x)hypotenuse (y)tips and formulas:[tex] \tan( {30}^{o} ) = \frac{ \sqrt{3} }{3} [/tex]tan(a)=opp/adjsin(a)=opp/hypo[tex] \sin( {30}^{o} ) = \frac{1}{2} [/tex]let's solve:according to the question
[tex] \tan( {30}^{o} ) = \frac{3}{x} [/tex]
[tex] \frac{ \sqrt{3} }{3} = \frac{3}{x} \\ x\sqrt{3} = 9 \\ x = \frac{9}{ \sqrt{3} } \\ x = 3\sqrt{3} \\ x = 5.2[/tex]
according to the question
[tex] \sin( {30}^{o} ) = \frac{3}{y} [/tex]
[tex] \frac{1}{2} = \frac{3}{y} [/tex]
[tex]y = 6[/tex]
In a bag of marbles, 1/2 are red, 1/4 are blue, 1/6 are green and 1/12 are yellow. You pick a marble without looking. What color marble are MOST likely to be choose?
Answer:
Its red becasue 1/2 is greater than all of them
The most likely color of the marble that will be chosen is red.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that;
Number of red marbles in the bag=1/2
Number of blue marbles in the bag=1/4
Number of green marbles in the bag=1/6
Number of yellow marbles in the bag=1/12
Now,
To determine the most likely color of the marble that will be chosen, we need to calculate the probability of selecting each color. The probability of selecting a red marble is 1/2, the probability of selecting a blue marble is 1/4, the probability of selecting a green marble is 1/6, and the probability of selecting a yellow marble is 1/12.
To compare the probabilities, we need to find a common denominator. The common denominator for 2, 4, 6, and 12 is 12. So, we can rewrite the probabilities as:
Probability of selecting a red marble = 6/12
Probability of selecting a blue marble = 3/12
Probability of selecting a green marble = 2/12
Probability of selecting a yellow marble = 1/12
Since the probability of selecting a red marble is the highest among all the colors, it is the most likely color to be chosen.
Therefore, by probability the answer will be red marble.
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1/3 divided by 3 = ?
9 divided by 1/3 = ?
Answer:
1/3 divided by 3= 1/9
9 divided by 1/3= 27
Step-by-step explanation:
There are 8 teams playing in the tournament. Each team is scheduled to play every other team once. How many games will be played during the tournament?
A. 15
B. 21
C. 28
D. 36
Who wants 50 points?!
Here it refers to unique matches .
Total matches:-
7+6+5+4+3+2+1=28matchesOption C
8 = –(q + –6) + 18
solve for q
Answer:
q=16
Step-by-step explanation:
math
way
.com
Answer:
q = 16
Step-by-step explanation:
Please help!!
What is the measure of angels DEF and angles DEG?
can someone please help me quickly??
Answer:
i think your answer would be 35
Step-by-step explanation:
oh sorry it's answer is 42.
calculate by adding all the individuals less than 40
At the carnival, it costs $10 to enter. It then costs $1.50 per ride you go on.
If you have $28, how many rides can you go on? *
1 point
Answer:
18.6
Step-by-step explanation:
28 divided by 1.50 equals 18.6
The number of rides will be equal to 12 in the Carnival.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that at the carnival, it costs $10 to enter. It then costs $1.50 per ride you go on. The total amount is $28.
The number of rides will be calculated by forming an equation below,
A = 10 + 1.5R
28 - 10 =1.5R
1.5R = 18
R = 18 / 1.5
R = 12
Therefore, the number of rides will be equal to 12 in the Carnival.
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write the equation of the cirlcle with diameter endpoints of (-6,3) and (-14,13)
Answer:
(x+10)² + (y-8)² = 41
Step-by-step explanation:
First, we find the length of the diameter.
from distance formula, d = SQR ROOT OF [(-14+6)² + (13-3)²]
diameter = SQR ROOT OF [8² + 10²] = √164 = √4√41 = 2√41
***** so the radius is half that, r =√41
The center of the circle is at the midpoint of the diamater.
x = (1/2)(-6 + -14) = (1/2)(-20) = -10
y = (1/2)(3 + 13) = (1/2)(16) = 8
center (h,k) = (-10,8)
circle equation: (x-h)² + (y-k)² = r²
(x- -10)² + (y - 8)² = (√41)²
(x+10)² + (y-8)² = 41
Sorry it took a while.
Please help. Don't answer if you don't know please.
Answer:
Number 4
Step-by-step explanation:
12-2 is 10, 9-3 is 6.
Help! What's the slope?
Answer:
2/7
Step-by-step explanation:
You do the number it goes up, 1 to 3 in this case, over the number it goes sideways, 3 to -4. My teacher always said rise over run to help us remember.
what is the unit rate of a car going 780 miles in 20 hours
Answer:
39 miles per hour.
Step-by-step explanation:
780/20 = 39
im not sure how to do this
Step-by-step explanation:
plz make me brainliest ....Find the missing side
Answer:
72
Step-by-step explanation:
The pythagorean theorem states that in a right triangle A^2 + B^2 = C^2 where A and B are the two smaller sides and C is the hypotenuse.
Because of this, in this triangle 30^2 + B^2 = 78^2
Which means B^2 = 5184
And B = 72
42% OF WHAT NUMBER IS 2? If you could please use the fiery cross?
Answer:
2100
Step-by-step explanation:
Sorry i dont know what the fiery cross is
15. Mr and Mrs Thomas buy tickets for themselves and their four children.
The cost of an adult ticket is $7 more than the cost of a child ticket
The total cost of the six tickets is 586
Work out the cost of an adult ticket
Answer:
$102.33
Step-by-step explanation:
586= 4t + 2(t+7)
586= 4t +2t +14= 6t +14
572= 6t
95.33=t
adult ticket = t +7
Identify the slope and y-intercept of the graph of the equation. y =3/5 x + 1
Answer:
slope = 3/5
y intercept = 1
Step-by-step explanation:
i think
Answer:
Slope: 3/5
Y-int: 1
Step-by-step explanation:
Slope intercept form is y=mx+b, with m being the slope being the y-int. So, m is 3/5 and b is 1 in the equation.
(hope this helps :P)
Sara has 600 quarters and dimes in her piggy bank which totals $123.75. How many quarters and
how many dimes does she have?
Answer: well each quarter is .25c and 600x.25=150 which is over $123.75. So, this is a trick question or this question is not possible to answer.
Step-by-step explanation:
Solve the system of linear equations by substitution.
y = -2x + 10
y = x +1
Step-by-step explanation:
y=14
y=1
thats the answer.
The following exchange rate is given: £1 = 1.11 euros. Convert £8 into euros.
Answer:
= 8.88
Step-by-step explanation:
£1 = 1.11 x £8 = 8.88 (euro)
Bryans gocket team is purchasing jersys. The company charges $250 for the onetime set-up fee and $23 for each printed jersey which expression repressents the total cost of x number for the team
Given:
The company charges $250 for the onetime set-up fee and $23 for each printed jersey.
To find:
The expression that represents the total cost of x number for the team.
Solution:
We have,
Fixed charges = $250
Additional charges = $23 per printed jersey
Let x be the number of printed jersey. Then,
Additional charges = $23x
Total chargers = Fixed charges + Additional charges
= $(250 + 23x)
Therefore, the expression for the total charges is $(250 + 23x).
Rewrite the expression without parentheses.
12m - (3 + 8m)
Answer:The answer is 1m
Step-by-step explanation:
12 - (3+8m)
(3+8m)=11m
12-11m =1m
Determine whether the expression is a polynomial. If it is a polynomial, find the degree
and determine whether it is a monomial, binomial, or trinomial.
3y^2 – 2
Answer:
This expression is a polynomial. The largest exponent is 2, therefore, it is in the quadratic degree. It is a binomial because it has two parts: 3y² and -2.
Dan has twice as many stickers as Cam does. If Dan gives Cam 15 of his stickers he will still have 22 more than Cam. How many stickers does each boy have?
An airplane climbs at an angle of 16° with the ground. Find the ground
distance the plane travels as it moves 2500 m through the air.
Please help me with this!
Answer:
2403.2
Step-by-step explanation:
We get the length of the hypotenuse, and the base angle. To find the length of the base, we use the cosine of 16° since it is equal to the adjacent side length/ hypotenuse side length or cos 16°= x/2500. The isolate x by multiplying both sides by 2500. The cos 16° is around 0.96126, multiplied by 2500 (cos 16°(2500)) = 2403.1
can someone help me wit dis?
Answer:
2
Step-by-step explanation:
at a local gym you can either pay $90 for a monthly pass then pay for dollars each time you go to the gym or you can pay $13 each time you go with no monthly pass fee if you're going to the gym 17 times in a month which option is better
Answer:1st option
Step-by-step explanation:
Ordena de menor a mayor 13 5 10 10 4 6 5 59 29 50 24
Answer:24
Step-by-step explanation:
lol