Answer:
The first term is:
[tex]a_1=-61[/tex]Step-by-step explanation:
The arithmetic sequence is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
where
[tex]a_1[/tex] is the first term
[tex]d[/tex] is the common difference
as
the 17th term of an arithmetic sequence is 51.
i.e. [tex]a_{17}=51[/tex]
so
[tex]a_n=a_1+\left(n-1\right)d[/tex]
[tex]a_{17}=a_1+\left(17-1\right)d[/tex]
[tex]51=a_1+\left(17-1\right)7[/tex] ∵ [tex]n = 17[/tex], [tex]a_{17}=51[/tex] , [tex]d=7[/tex]
[tex]a_1+112=51[/tex] ∵ [tex]\left(17-1\right)\cdot \:\:7=112[/tex]
[tex]a_1=-61[/tex]
Therefore, the first term is:
[tex]a_1=-61[/tex]Of the following, which is the solution to 2x2 + 3x = −5?
Answer:
Step-by-step explanation:
Nothing to choose from??/
But 2x^2+3x=-5 is
- 3± i√31 / 4
Answer:
[tex]\frac{-3+-i\sqrt{31} }{4}[/tex]
ye
What is the slope in the equation y=3/4x
What is the y-intercept also?
Answer:
slope = 3/4
y- intercept : (0,0)
Step-by-step explanation:
Sixth grade Y.14 Factor using th
Factor 10y + 20z.
Answer:
17zy
Step-by-step explanation:
big brain
Answer:
y+z=30
Step-by-step explanation:
y=10 z=20
y+z=30
In a survey of 2,800 people who owned a certain type of car, 1,400 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
50% of people would buy the car again.
Step-by-step explanation:
2800 divided by 2 is 1400.
The percent of the people surveyed were satisfied with the car is 50%.
Given that,
In a survey of 2,800 people who owned a certain type of car, 1,400 said they would buy that type of car again.Based on the above information, the calculation is as follows:
[tex]= 1400 \div 2800[/tex]
= 50%
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A deal is a deal, so here is a good one, let's see who gets it right. I had $10.00. My mom gives me $30.00, My dad gave me $30.00. My aunt and uncle give $100.00. I had another $10.00. How much money did I have?
Answer:
$180 in total!
Step-by-step explanation:
10 + 30 + 30 + 100 + 10 = 180
the uncle and aunt gave their money together, it didn't specify that they each gave 100
Answer:
The total amount of money i have is $180.
Step-by-step explanation:
Given information:
The money i have = $10
Mom gives = $30
Dad gives = $30
Aunt and uncle gives = $100
Now i had another $10
The total amount of money (x) i have is the sum of all money i receive.
x = 10+30+30+100+10
x = 180
Hence , the total amount of money i have is $180.
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3(6d - 24) = 6(12 + 3d)
pls solve i need
3D = 32 or D = (10 2/3)
Step-by-step explanation:
We want to make D only one side so we subtract 3D from the left
Then we slowly make the equation smaller and smaller by adding 24 to each side, multiplying the numbers, then finally getting our answers.
Answer:
No solutions
Step-by-step explanation:
Distribute the 3 to the first set of parentheses:
3(6d - 24) = 6(12 + 3d)
18d - 72 = 6(12 + 3d)
Distribute the 6 to the other set of parentheses:
18d - 72 = 72 + 18d
Subtract 18d from both sides:
-72 = 72
-72 [tex]\neq[/tex] 72
Since -72 and 72 are not equal, there are no solutions
PLEASE HELP!!
You need to factor by grouping.
Please explain the steps!
Answer:
3(k-4)(7k^2+5)
Step-by-step explanation:
1) Factor out GCF
3(7k^3-28k^2+5k-20)
2)Split into two
3) Factor
3*7k^2(k-4)+5(k-4)
3(k-4)(7k^2+5)
2-\dfrac12n=3n+162− 2 1 n=3n+16
Answer:
2-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+16
Step-by-step explanation:
May I have brainliest please? :)
Please help, please write a proof to prove the “prove” section
Tao wants to check that the expression 3(4x – 6) simplifies to 12x – 18. What is the value when 2 is substituted for x into both expressions? The value of each expression is 2. The value of each expression is 6. The value of one expression is 2, and the value of the other expression is 6. The value of one expression is 6, and the value of the other expression is –6.
Answer:
The value of each expression is 6.
Step-by-step explanation:
3 * 4 = 12 and 3 * 6 = 18
So 3(4x - 6) = 12x - 18
12(2) - 18 = 24 - 18 = 6
Answer:
the value of each expression is 6
Step-by-step explanation:
edge 2020
15% off of $60, then subtracting 10% from that cost, is equal to
Answer:
8.1 i think
Step-by-step explanation:
Inside an auditorium, 1 out of 5 people wear hats, and 4 out of 5 people do not wear hats. Based on this information, predict how many wear hats if there are 215 people.
Answer:
43
Step-by-step explanation:
Haley spent 1/2 hour playing on her cell phone that use 1/9 of her battery how long does she have to play on her phone to use the entire battery?
Answer:
4 1/2 hours.
Step-by-step explanation:
If 1/2 an hour only used up 1/9 of her battery, 9, 1/2 would give us 9/2, which if you simplified it gets you 8 1/2 hours. Hope this helps! Have a great day!
say hi and i will mark brainllyist or whatever
Answer:
hi hows your day
Step-by-step
Find k such that the roots of the quadratic are real, rational, and equal: 9x^2+kx+1=0
Answer:
Step-by-step explanation:
9x^2+kx+1=0
k= -9x-1/x
Which of the following points would be on the graph of the equation y=−4x+6?(−4, −10)(−4, 22)(1, −10)(1, −2)
Answer:
Only the point (-4, 22) is ON THE GRAPH of the equation. Please also check the attached graph.
Step-by-step explanation:
Given the equation
[tex]y=-4x+6[/tex]
Let us substitute all the given points to check which points satisfy the equation.
Substitute (-4, -10) in the equation
[tex]y=-4x+6[/tex]
[tex]-10=-4(-4)+6[/tex]
[tex]-10=16+6[/tex]
[tex]-10=22[/tex]
As the R.H.S ≠ L.H.S, hence (-4, -10) does not satisfy the equation.
Hence, (-4, -10) is NOT ON THE GRAPH of the equation
Substitute (-4, 22) in the equation
[tex]y=-4x+6[/tex]
[tex]22 = -4(-4)+6[/tex]
[tex]22 = 16+6[/tex]
[tex]22 = 22[/tex]
As the R.H.S = L.H.S, hence (-4, 22) satisfies the equation.
Hence, (-4, 22) is ON THE GRAPH of the equation. Please also check the attached graph.
Substitute (1, -10) in the equation
[tex]y=-4x+6[/tex]
[tex]-10=-4(1)+6[/tex]
[tex]-10=-4+6[/tex]
[tex]-10=2[/tex]
As the R.H.S ≠ L.H.S, hence (1, -10) does not satisfy the equation.
Hence, (1, -10) is NOT ON THE GRAPH of the equation
Substitute (1, -2) in the equation
[tex]y=-4x+6[/tex]
-2 = -4(1)+6
-2 = -4 + 6
-2 = 2
As the R.H.S ≠ L.H.S, hence (1, -2) does not satisfy the equation.
Hence, (1, -2) is NOT ON THE GRAPH of the equation
Therefore, from the above analysis, we conclude that only the point (-4, 22) is ON THE GRAPH of the equation. Please also check the attached graph.
Question 1
Find an expression equivalent to 8(2x+1)(x-2)(x+3)
Answer:
18x + 13
Step-by-step explanation:
just add like terms after multiplying 2x + 1 by 8
16x + 8
x - 2
x + 3
18x + 13
What is the 4th equivalent fraction to 1/8
Answer:
2/16
Step-by-step explanation:
this is the 4th equivalent fraction to 1/8
(-3, 8) is a solution to the following system of equations: 4x + 3y = 12 5x + 2y = 1 True False
Answer: True
Step-by-step explanation:
question 4 pleeeeease help
Aanya got 5 marks in Science test. Her friend Sneha got 'x' marks more than Aanya. How many marks did they get altogether?
Pls Answer FAST
Understanding Elevation
Death Valley, Califomia, has an elevation of -282 feet What does this mean?
It is 282 feet above sea level
It is 282 feet below sea level.
It is - 282 feet above sea level
Itis - 282 feet below sea level
Answer:
Step-by-step explanation:
if it has a negative elevation of 282 feet than its below sea level by 282 feet if its 282 feet above with no negative than its 282 feet above sea level i hope this helped
Answer:
hi the answer is b)It is 282 feet below sea level.\
have a nice day!
Step-by-step explanation:
mark me brainliest?
Exercise 1: Which of the following is not an equation
(1) 2x + 3 = 10
(2) 3+2 = 5
(3) 3(2x + 1)
(4) 1+ 4 = 10
Answer:
(3) 3(2x +1 )
Step-by-step explanation:
For (1), (2), and (4), all of them give an answer while (3) does not which means that (3) is not an equation.
the douglas family visits sealand and is charged $72.00 for 2 adults and 3 child tickets. the williams family also visited sealand and was charged $78.00 for 1 adult and 5 child tickets. how much would it cost the lopez family to go to sealand if they have 3 adults and 4 children
Is the sequence arithmetic? If yes, determine the common difference. *
(1 Point)
-14-9, -4, 1, 6, ...
O no, it does not increase or decrease the exact same amount
O yes, d = 5
O yes, d = -5
Answer:
Option 2: Yes, d= 5 is the correct answer
Step-by-step explanation:
An arithmetic sequence is a sequence where the common difference between the consecutive terms is same.
Given arithmetic sequence is:
-14, -9, -4, 1, 6
To check if it is an arithmetic sequence, we have to find the common difference d
[tex]a_1 = -14\\a_2 = -9\\a_3 = -4\\a_4 = 1[/tex]
Now,
[tex]d = a_2-a_1 = -9-(-14) = -9+14 = 5\\d = a_3 - a_2=-4-(-9) = -4+9 = 5\\d = a_4-a_3 = 1-(-4) = 1+4 = 5[/tex]
As the common difference is same, the given sequence is an arithmetic sequence.
Hence,
Option 2: Yes, d= 5 is the correct answer
Which number goes in the box?
8 + 9 = 9 +
Answer:
8
Step-by-step explanation:
I hope this helps you out!
Answer:
8
Step-by-step explanation:
...
Which of the following graphs represents the equation above -3x+2y=8
Answer:
Is there a picture of the graphs...?
Step-by-step explanation:
Anyways, the answer should be y= 3/2x +4
If you show me the graphs I could possibly help you find which one is correct.
Answer:
Step-by-step explanation:
Here are the graphs, which one goes with
y = 4 + 3/2x ?
Eli's Diner sold 50 milkshakes last week. 60% of the milkshakes had whipped cream on top. How many milkshakes with whipped cream were sold?
Answer:
30 will be the number of milkshakes had whipped cream on top.
Step-by-step explanation:
Total number of milkshakes sold by Eli's Diner last week = 50
As 60% of the milkshakes had whipped cream on top.
Let x be the number of the milkshakes had whipped cream on top.
[tex]x=\frac{60}{100}\times 50[/tex]
[tex]x=\frac{60}{2}[/tex]
[tex]x=30[/tex]
Therefore, 30 will be the number of milkshakes had whipped cream on top.
Shawn said that in standard notation,
7.142 x 107 will have 7 zeros after the
2 because the exponent is a 7. Is he
correct? Why or why not?
Answer:
Shawn is incorrect.
Step-by-step explanation:
The decimal is moving 7 places to the right. The 2 is the third digit, so there will be 4 0s after it.
Pt.2 Please show your work
Find the slope when given the following points
(-3, 2) and (1, 0)
Answer:
slope is = -1/2
Step-by-step explanation:
y2-y1= 2-0= 2
x2-x1= -3-1= -4
2/-4= -1/2