In an AP with 18 terms the common difference is $-3$−3 . If the nth term is $-5$−5, what is its first term?
Answers
Answer:
46
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here d = - 3 and [tex]a_{18}[/tex] = - 5 , thus
a₁ + (17 × - 3) = - 5
a₁ - 51 = - 5 ( add 51 to both sides )
a₁ = 46
Answer:
a = 46
Step-by-step explanation:
Refer to the attachment.
Related Questions
which value of x satisfies the equation 7/3 (x + 9/28) = 20?
Answers
Answer:
x=8.25
Step-by-step explanation:
Divide both sides by 7/3
(x+9/28) = 8.57
Subtract 9/28 on both sides
x = 8.25
6. -n + 7 - 2n + 5n - 3 = -6
Answers
Answer:
n = -5
Step-by-step explanation:
Step 1: Write equation
-n + 7 - 2n + 5n - 3 = -6
Step 2: Solve for n
Combine like terms: 2n + 4 = -6
Subtract 4 on both sides: 2n = -10
Divide both sides by 2: n = -5
4 subtracted from twice w, the result is 20 more than w. Find w
Answers
Answer:
w = 24
I hope this helps!
Perform matrix subtraction to find the values of w,
x, y, and z.
Answers
Answer:
w = ⇒ 21
x = ⇒ 13
y = ⇒ -11
z = ⇒ -16
Step-by-step explanation:
The value of the matrix will be [tex]\left[\begin{array}{ccc}w &x&\\y&z\end{array}\right] = \left[\begin{array}{ccc}21&13&\\5&-16\end{array}\right][/tex]
What is the matrix?A matrix is a rectangular array of numbers that are arranged in rows and columns. The numbers are referred to as the matrix's elements or entries. Engineering, physics, economics, and statistics, as well as various disciplines of mathematics, all use matrices.
[tex]=\left[\begin{array}{ccc}17&12&\\-3&-2\end{array}\right] - \left[\begin{array}{ccc}-4&-1&\\8&14\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}w &x&\\y&z\end{array}\right] = \left[\begin{array}{ccc}21&13&\\5&-16\end{array}\right][/tex]
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How is the graph of y = (x + 1)^2- 5 transformed from the graph of y=x^2?
Answers
[tex]\text{Hi there! :D}[/tex]
[tex]\boxed{\text{There is a horizontal shift of 1 unit left and 5 units down.}}[/tex]
[tex]\text{Recall that the transformations form of a quadratic function is:}\\\\y = \pm a(b(x-h))+k \text{ where:}\\\\a = \text{ vertical stretch/compression}\\\\b = \text{ horizontal stretch/compression}\\\\h = \text{ shift left/right}\\\\k = \text{ shift up/down}\\\\\text{Therefore, in this instance:}\\\\h = -1\\\\k = -5, \text{ so:}\\\\\text{There is a horizontal shift of 1 unit left and 5 units down.}[/tex]
TOPIC: simultaneous linear equations
p + 2q = 3,
p - 2q = 3
Answers
Answer:
p=3 q=0
Step-by-step explanation:
p+2q=3
p-2q=3
p+2q=3
p=3-2q---------eqn i
p-2q=3
3-2q-2q=3
3-4q=3
-4q=3-3
q=0÷-4
q=0
putting the value of q in equation i
p=3-2q
=3-2×0
=3
Answer:
p=3
q=0
Step-by-step explanation:
Adding both the equation
p+2q=3
+ p-2q=3
------------
2p=6
p=3
putting value of p in any of the above equation we will get the value of q.
3+2q=3
2q=0
q=0
mark this as brainliest!!!!
Which polynomial functions are written in
standard form? Select all that apply.
f(x) = 8-25
f(x) = -3.25 + 5x – 2
f(x) = 2x5 + 2x + x3
f(x) = x3 - 8x2
Answers
Answer:
B) f(x) = 3x^2+5x-2 and D) f(x)=x^3 -8x^2
Step-by-step explanation:
the degree of the polynomial function below is 5 and the leading coefficient of this polynomial function is -3 :)
Answer:
Which polynomial functions are written in standard form? Select all that apply.
B. f(x) = –3x5 + 5x – 2
D. f(x) = x3 – 8x2
Step-by-step explanation:
The degree of the polynomial function below is 5.
f(x) = –3x5 +4x – 2
The leading coefficient of this polynomial function is
✔ –3
A sum of rs 700 is to be used to give seven cash prizes to students of a school for the
overall academic performance. If each prize is 20 less than its preceding prize, finde
value of each of the prizes.
Answers
Answer:
A sum of RS 700 is to be used to give seven cash prizes to students of school for their overall academic performance. If each prize is RS 20 less then its preceding prize, find the value of each of the prizes.
Calculate x if the mean of 30, x, 12, 40, and 10 is equal to x.
Answers
Answer:
23
Step-by-step explanation:
Let the mean also is x
Mean = Sum of all observations / Total no of observations
x = 30 + 12 + 40 + 10 + x / 5
5x = 92 + x
4x = 92
x = 23
Therefore 23 is the mean and also one of the numbers.
The value of x such that mean of 30, x, 12, 40, and 10 is equal to x will be 23.
What is mean?The mean is the average of a data set. Mean gives us an idea of that how much amount of overall data have.
Mean = sum of data / Number of data
It is known that,
Mean = sum of data / Number of data
x = (30 + x + 12 + 40 + 10)/5
5x = x + 92
4x = 92
x = 23
Hence "The value of x such that mean of 30, x, 12, 40, and 10 is equal to x will be 23".
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The length of segment AB is 10 cm
If you draw a point halfway between A and B and label the point C, what is the
length of AC?
Answers
Answer:
Step-by-step explanation:
The distance between B and C is ... 10. M(7, 1), N(4, –1). eSolutions Manual - Powered by Cognero. Page 2 ... Find the coordinates of G if F(1, 3.5) is the midpoint of ... Find the distance between each pair of points. ... approximated by a straight line, estimate the length of ... relationship between AB and each segment if you.
Which integer is 45 square closest to?
Answers
Answer:
√45 lies between 6 and 7 .
Step-by-step explanation:
We know that. √36=6. And. √49=7. It makes sense that √36<√45<√49 therefore 6<√45<7 .
What are these fractions in order from greatest to least?:
6/9,5/6,5/7,4/5
Answers
Which expression represents the following number line?
+++++++++
-8-7-6-5-4-3-2-1012
0-6+3 = 3
6+3=3
0-6-3= -3
3-6-3
Help ASAP
Answers
If Zöe orders a book from Store Y, how much tax will she pay? Comparison of Online Bookstores Store X Store Y Cost of book $17.00 $18.00 Tax rate 6% 8% Shipping 10% of cost before tax FREE $1.44 $2.25 $12.25 $14.40
Answers
Answer:
A
Step-by-step explanation:
just did the quiz
Answer: The answer is A on the test I got 100% on the question.
Step-by-step explanation: ed 2020
can you help me estimate 102.3+4.7
Answers
Answer: 107
Step-by-step explanation:
102.3 can be rounded down to 102 (because the 3 at the end of the number is less than 5)
4.7 can be rounded up to 5 (because the 7 at the end of the number is greater than 5).
102.3 → estimate = 102
4.7 → estimate = 5
estimated sum = 107
Note that estimating the sum is NOT the same as simply adding the numbers and then rounding the sum.
The ratio table below shows the number of eggs per omelet.
Omelets
Number of eggs
Number of omelets
18
?
9
3
6
2
3
1
How many omelets can be made with 18 eggs?
4
6
9
12.
Answers
Answer:
B(6
Step-by-step explanation:
The number of omelets made by 18 eggs will be 6. The correct option is B.
What is the ratio?
In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number. The fraction is defined as the division of the whole part into an equal number of parts.
The number of eggs required to make the number of omelets is given in the tables as:-
omelets eggs
? 18
3 9
2 6
1 3
The ratio of omelets and egg is calculated as:-
omelets: egg = 3 : 9
omelets: egg = 1:3
The number of the omelets made by 18 eggs will be calculated as below:-
omelets: egg = 1:3
omelets: 18 = 1:3
omelets = 18 x ( 1 / 3 )
omelets = 6
Therefore, the number of omelets made by 18 eggs will be 6.
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Which statement is NOT true? *
A. Every integer is a real number.
B Every counting number is an integer
C Every integer is a rational number
D Every decimal number is an irrational number.
Answers
Answer:
D. Every decimal number is an irrational number.
Step-by-step explanation:
As long as a decimal repeats or terminates, it is a rational number.
"three times a number, increased by
seventeen"?
Answers
Solve x2+8x-10=0 by completing the square. What are the solutions? *answer choices are in the picture
Answers
Answer:
Last option
Step-by-step explanation:
Step 1: Write out equation
x² + 8x - 10 = 0
Step 2: Add 10 to both sides
x² + 8x = 10
Step 3: Complete the Square
x² + 8x + 16 = 10 + 16
(x + 4)² = 26
Step 4: Square root both sides
x + 4 = ±√26
Step 5: Subtract 4 on both sides
x = -4 ± √26
4. Simplify the following using the quotient rule of exponents:
(1 Point)
33 = 33
31
33
30
3-
!!!!!!!!!!!!!!!!!!!
Answers
Answer:
31=1/1
33=1/1
30=3/10
3-=-3
Step-by-step explanation:
PLEASE I NEED THE ANSWER LIKE IN THE NEXT 10 MINS!!!!!
What is f(-2) of the function given below? F(x)=3x^2-4x+1
Answers
Answer: F=(x-1) (3x-1/x =21
Step-by-step explanation: Fx/x=3x^2-4x+1/x
A sequence is defined by the formula f(n+1)=f(n)−3. If f(4)=22, what is f(1)? 10 13 31 34
Answers
Answer: 31, hope this helps❤
Step-by-step explanation:
If f(4) = 22, then the value of f(1) is 31.
What is Sequence?A sequence in mathematics is a ordered set of objects or numbers which are related with something.
For example, 1, 3, 5, ..... is a sequence of odd numbers.
Given a sequence defined as,
f(n + 1) = f(n) - 3
Given,
f(4) = 22
We know from definition,
f(4) = f(3) - 3
So, f(3) = 22 + 3 = 25
Similarly,
f(2) = 25 + 3 = 28
f(1) = 28 + 3 = 31
Hence the correct option is 31.
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4/11x10/8
What is the answer
Answers
Answer:
5/11
Step-by-step explanation:
4/11 × 10/8
= 40/88
= 5/11
ax + by = c
To solve each literal equation for the given variable
Answers
Answer:
Step-by-step explanation:
For a:
ax = c - by
a = (c - by)/x
For x:
ax = c - by
x = (c - by)/a
For b:
by = c - ax
b = (c - ax)/y
For y:
by = c - ax
y = (c - ax)/b
1. Patti’s register shows an ATM withdrawal on February 5 in the amount of $140.00, check #327 on February 7 in the amount of $326.15, and a deposit of $483.14.
What should Patti’s balance in her register be?
A.$614.34
B.$710.34
C.$728.14
D.$732.25
Answers
Answer: $732.25
Step-by-step explanation: I just took the quiz through K12 online school.
Answer: D.$732.25
Step-by-step explanation:
Patti's ending balance was $715.26
On 2/5 (February 5) she did a withdrawal (-) of $140.00
On 2/7 she did a check (-) of $326.15 and a deposit (+) of $483.14
$715.26- $140.00- $326.15+ $483.14= $732.25
What is the simplified answer?
Answers
512x³, I think, because 2x cubed (2x³) is 8x, and 8x cubed again ([8x]³) is 512x³.
Hope I helped!!!
PLEASEEEEE HELPPPP!!!!!!!
Martha likes to bowl and wants to compare total costs to find the bowling alley that offers the better deal. She has two bowling alleys to consider:
• “Ten Pin Alley” charges $3.00 for shoe rental and $2 per game.
• “Northrock Lanes” charges $6.00 for shoe rental and $1 per game.
Write a system of equations to represent this situation where x represents the number of games bowled and y represents the total cost.
Answers
Answer:
3+x=y
x=2/y=5
6+x=y
x=1/y=7
When Scott got his dog Arfus, it weighed
6 lb. Six months later it weighed 8 lb.
How much weight did Arfus gain?
Answers
Gabriella expects to earn $50 in tips during her shift as a waitress today. In addition to tips, she earns $8.00 an hour. If she wants to make at least $114 today, how many hours must she work at a minimum? hours
Answers
Answer:
2 hours
(50 $ + 8 $) x 2 = 116
116 > 114
If the top of Mt. Everest is 29,035 ft and Death Valley in California at it's lowest point is negative 282 ft. What is the difference between the top of Everest and the bottom of the Valley?
Answers
Answer: 29317
Step-by-step explanation: