Answer:
Please check the explanation.
Step-by-step explanation:
Given the sequence
2, 6, 10, 14, 18
An arithmetic sequence has a constant difference and is defined as
[tex]\:a_n=a_1+\left(n-1\right)d[/tex]
compute the differences of all the adjacent terms
[tex]6-2=4,\:\quad \:10-6=4,\:\quad \:14-10=4,\:\quad \:18-14=4[/tex]
The difference between all the adjacent terms is the same.
Thus,
[tex]d=4[/tex]
and
[tex]a_1=2[/tex]
Therefore, the nth term is computed by:
[tex]a_n=4\left(n-1\right)+2[/tex]
[tex]a_n=4n-2[/tex]
Thus, position to term rule of 2, 6, 10, 14, 18 multiply by __4___ and subtract by __2__.
2. Solve the system of equations.
1
ży 22
—1
x + 3y = 2 = 10
11/x + 2
+ z = -4
9514 1404 393
Answer:
(x, y, z) = (2, 1, -5)
Step-by-step explanation:
There are numerous equation solvers available on the web. The attached result is from one of them.
__
You may find it easier to solve these by hand if you eliminate fractions.
2x -y +z = -2x +3y -z = 10x +0y +2z = -8The first step is to look to see what you have, then formulate a strategy for getting a solution. Because the equations containing y have opposite coefficients, one of which is -1, we choose to use those to eliminate y. Immediately, we will have two equations in x and z.
If you multiply the first equation by 3 and add that to the second, then you will eliminate y. The third equation already has y eliminated, so you will then have two equations in x and z.
3(2x -y +z) +(x +3y -z) = 3(-2) +(10)
6x -3y +3z +x +3y -z = -6 +10
7x +2z = 4 . . . . [eq4]
Subtracting the third equation from this eliminates z, so you have ...
(7x +2z) -(x +2z) = (4) -(-8)
6x = 12
x = 2
Substituting into the third equation gives ...
2 +2z = -8
2z = -10
z = -5
Then using the first equation, you have ...
y = 2x +z +2 = 2(2) +(-5) +2 = 1
(x, y, z) = (2, 1, -5)
Does the blue on the graph represent a function ?
Answer:
Nope
Step-by-step explanation:
It doesnt. Functions look like that
The answer. X=7 Ik that
Answer:
C: 147°
Step-by-step explanation:
Based on looking, the most appropriate answer should be C, which is 147°.
Use the order of operations to evaluate this expression: 7 + (5 – 9)2 + 3(16 ÷ 8).
Answer:
= 7 + (5 – 9)2 + 3(16 ÷ 8)
= 7 + (-4)2 + 3(2)
= 7 + (-8) + 6
= -1 + 6
= 5
Step-by-step explanation:
Remember to use PEMDAS when solving.
the ratio of white socks to brown socks is
PLZ HELP ASAP
Answer:
0.875 is the ratio from white to brown socks.
HELP I HAVE 10 MINUTES!!
-109+9x=86-4x
Answer:
x=15
Step-by-step explanation:
[tex]-109+9x=86-4x\\ +109+4x=+109+4x\\13x=195\\x=15[/tex]
add 109 to both sides and add 4x to other sides
divide 13 by 195
Please help, I have nothing great to offer you though.
Which set of numbers includes only integers?
Answer
-10,-7,0,98,145
Step-by-step explanation:
Integers are whole numbers negative or positive.
Hope that helped :)
Hello' this is my last question can someone please help me
(please don't just put a random answer just to take my points)
*puts a random answer just to take your points*
JK lol sorry
Answer~If we are solving for x, then your answer would be
8x²~x = 0.110
10x~x = 1.140
How i did it~first x:[tex]\frac{10-\sqrt{68} }{16} = \frac{5-\sqrt{17} }{8}[/tex] =0.110
second x:[tex]\frac{10+\sqrt{68} }{16} = \frac{5+\sqrt{17} }{8}[/tex] =1.140
------------------------------------------------------------------------hope I helped :P
Have a good day!!~
Percent equations the question is blank % of 75 = 30
Answer:
40
Step-by-step explanation:
30/75 = .4
Answer:
40%
Step-by-step explanation:
Start by doing 30 ÷ 75 which gives you 0.4
0.4 as a percentage is 40%
Find percentage from decimals by moving the decimal place two times to the right.
4x - 2y = 5 and y = 3x - 1
Answer:
4x_2y=5
4x=5+2y
x=5+2y/5
now, y=3x_1
putting value of x in second question
In this way you can do
Give an example of an equation that has no solution equation and explain why it is a no solution equation.
Answer:
x = x + 7
Step-by-step explanation:
In this equation, it is saying that x is equal to itself plus something else (7). This equation does not make sense at all because x cannot equal to something that is bigger or smaller than itself. If 7 is added to x, like the right-hand side of the equation, it cannot be equal to x from the left-hand side of the equation, so there is no solution to the value of x in this equation.
10x^3-35x^2 please help me
Answer:
5x^2(2x-7)
Step-by-step explanation:
Hope this helps!
the ratio of boys to girls in a class is 4 : 5 how many girls are there in a class if 12 boys are in the class
Answer:
15
Step-by-step explanation:
Hey! Pretty stranger :D
AsnwEr:
Number of girls in class = 15GivEn:
The ratio of no. of boys to no. of girls in a class is 4:5.Number of boys in class = 12To find:
Number of girls in class?Solution:
☯ Let number of girls be x.
Given that,
The ratio of no. of boys to no. of girls in a class is 4:5.Therefore,
→ 12/x = 4/5
→ x = 12 × 5/4
→ x = 60/4
→ x = 15
∴ Hence, number of girls in a class is 15.
SOMEONE HELP ASAP PLS!!
Point K lies at (-3,4). Point K is reflected over the y-axis and then translated 7 units down to produce K'. Which rule could have been used to produce K’ from K?
Answer:
K(x,y) →K'(-x, y-7) (B)
Step-by-step explanation:
help plzzzzzzzzzzzzzz
Answer:
A (SSS)
Step-by-step explanation:
The triangles are congruent by postulate side side side
how many solutions?
Answer:A) no solutions
Step-by-step explanation:
1) set both problems equal to each other
2) subtract four from each side
3) subtract 2x from each side
4) 10 does not equal 0
Answer:
No solution
Step-by-step explanation:
As soon as you minus the equations from each other, the y's and x's cancel out therefore there is no solution
PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ HELP ME
Answer:
with what doe like if you need help you need to say
Answer:
theres no attatchment lol
Step-by-step explanation:
I NEED HELP ASAP IN THE PICTURE ABOVE
Answer:
Step-by-step explanation:
Even numbers are those that can be divided by 2.
3440 and 7802
Odd numbers are the rest
4893, 1451 and 6645
Smallest to largest
1451, 3440, 4893, 6645 and 7802
Sum of even numbers
3440+7802= 11242 divided by 2(there are only 2 numbers)
11242 ÷ 2 = 5621
Luis uses 1.6 liters of gasoline each hour he spends mowing lawns. How much gas does he use in 5.8 hours?
can someone please help me? I'm really not a fan of the subject math, and I'm currently struggling and my math grade isn't good at the moment AND grade book closes next week friday :(
Answer:
9.28 liters
Step-by-step explanation:
The unit rate is 1.6 liters per hour.
You multiply it by the number of hours
1.6 x 5.8 = 9.28
Answer:
9.28.
Step-by-step explanation:
We're trying to find out how much gas Luis uses in 5.8 hours. It states that Luis uses 1.6 liters of gasoline EACH HOUR. So, we just multiply 1.6 and 5.8.
Evaluate 1/2t + 3/8 when t= 1/4
Answer:
1/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
1/2t + 3/8
t = 1/4
Step 2: Evaluate
Substitute: 1/2(1/4) + 3/8Multiply: 1/8 + 3/8Add: 4/8Simplify: 1/2Which expression is equivalent to 30 ÷ (3 + x)
A. (3 + x) ÷ 30
B. 30 ÷ (x +3)
C (3÷30) + x
D 30 ÷ 3 + 30 ÷ x
Answer:
Answer would be B because addition is commutative that is, a + b = b + aSo answer would be 30 ÷ (X + 3)
please help meeeeeeeeeeee
Answer:
78°
Step-by-step explanation:
42+60=102
180-102=78
Answer:
Step-by-step explanation:
first find the final interior angle since we need it to find the exterior
60 + 42 = 102
180 - 102 = 78 degrees
then we just have to do 180 - 78 bc we have a straight line and straight lines are always 180 degrees
180 - 78 = 102 degrees
x = 102
you honestly could just take the 2 values you already know and add them and use that lol
hope this helps <3
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz helpppppppppppppppp
-3 1/5 ÷2 1/5
Answer:
−16×5 / 5×11
= -16/11
A telephone marketer earns a 14% commission on their sales each week. In one week, their sales amounted to $920.
1a
First, find 10% of their total sales.
Answer:
I love u plz don't report
Please help. If this isn't done by today i'm grounded :(
A _____ magnet can be made by rubbing a permanent magnet the same way
along an item. The alignment of atoms does not last long.
permanent
temporary
atomic
polar
Answer:
B. temporary
Step-by-step explanation:
The last sentence says that the alignment of atoms does not last long.
Answer:
B. temporary
Step-by-step explanation:
Is the following not a function ?
Answer:
Yes
Step-by-step explanation:
The "x" is not supposed to be the same. The input has to be different.
Identify which equations have one solution, infinitely many solutions, or no solution. PLEASE HELP! I will rate the answers!
2.2z+3z=4.5-3.2
2.3y+3.2-y=2.1+1.3y+1.1
2/3x+2/3+1/5x=2/3x
20+4r=32-2r
Answer:
2.3y+3.2-y=2.1+1.3y+1.1
Step-by-step explanation:
The first equation has one solution: z = 0.25.
The second equation has infinitely many solutions.
The third equation has one solution: x = -10/3.
The fourth equation has one solution: r = 2.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
(a) 2.2z+3z=4.5-3.2
Simplifying the left-hand side, we get: 5.2z = 1.3
z = 1.3/5.2 = 0.25
Therefore, the equation has one solution: z = 0.25.
(b)2.3y+3.2-y=2.1+1.3y+1.1
1.3y + 3.2 = 2.2 + 1.3y
Therefore, the equation has infinitely many solutions.
(c) 2/3x+2/3+1/5x=2/3x
Simplifying the left-hand side, we get: 1/5x + 2/3 = 0
1/5x = -2/3
x = -10/3.
(d) 20+4r=32-2r
6r = 12
r = 2
Therefore, the equation has one solution: r = 2.
Hence, The first equation has one solution: z = 0.25.
The second equation has infinitely many solutions.
The third equation has one solution: x = -10/3.
The fourth equation has one solution: r = 2.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ7
Simplify (-2x - 9)(-4). 8x - 36 -8x + 36 8x+ 36 -88-36
Answer:
8x+36
Step-by-step explanation:
distribute the -4
-2x times -4 + -9 times -4
8x+36
xoxo, your highness...Answer:
[tex]64x^2+648x-124[/tex]
if your question is
[tex]\left(-2x-9\right)\left(-4\right)\cdot \:8x-36-8x+368x+36-88-36[/tex]
Find the midpoint of the line segment with the given endpoints.
(-10,-4), (6,-5)
select Yes or No to indicate whether each of the ordered pairs is most likely a solution to the equation represented by the graph
Answer:
(-1, 4)
Step-by-step explanation:
From the graph we see that;
At x = 0, y has a value of 1
At x = 2, y has a value of 1
At x = 1, y has a value of 0
At x = -1, y has a value of 4
Looking at the given options, the only ordered pair that corresponds to a correct reading on the graph as earlier observed is; (-1, 4)
Answer:
no
no
yes
Step-by-step explanation: