Answer:
The first term is 3 and common difference is 8.
And
The formula for sequence is: [tex]a_n = -5+8n[/tex]
Function is: [tex]f(n) = f(n-1)+8[/tex]
Step-by-step explanation:
Given that
[tex]a_4 = 27\\a_8 = 59[/tex]
The general formula for arithmetic sequence is:
[tex]a_n = a+(n-1)d[/tex]
Here
a is the first term
n is the term number
and d is the common difference
for 4th term
[tex]a_4 = a+(4-1)d\\27 = a+3d\ \ \ Eqn\ 1[/tex]
For 8th term
[tex]59 = a+ (8-1)d\\59= a+7d\ \ \ \ \ Eqn\ 2[/tex]
subtracting equation 1 from equation 2
[tex]59-27 = a+7d-(a+3d)\\32 = a+7d-a-3d\\32 = 4d\\d =\frac{32}{4}\\d = 8[/tex]
Putting d = 8 in equation 1
[tex]a+3d = 27\\a+3(8) = 27\\a+24=27\\a = 27-24\\a = 3[/tex]
Now for the function
[tex]a_n = a+(n-1)d\\a_n = 3+(n-1)(8)\\a_n = 3 + 8n-8\\a_n = -5+8n[/tex]
The sequence can also be expressed as a function as:
[tex]f(n) = f(n-1) + 8[/tex]
Hence,
The first term is 3 and common difference is 8.
And
The formula for sequence is: [tex]a_n = -5+8n[/tex]
Function is: [tex]f(n) = f(n-1)+8[/tex]
Can someone please help me with this question!
Answer:
see explanation
Step-by-step explanation:
For the relationship to be a function then each value of x must map to exactly one unique value of y.
This is true for the points except Z andT, where
x → 3 (Z) and x → 5 (T)
This means the relation is not a function
Write the equation of a line in slope-intercept form that passes through (0, 7) and has a slope of -23.
Answer:
y = -23x + 7
Step-by-step explanation
We are using the equation y = mx + b.
The slope (m) is -23, so it would be y = -23 + b.
b is the y-intercept, and the ordered pair that gives us the y-intercept is (0,7).
Remember that the y-intercept is what the y-coordinate is equal to when the x-coordinate is 0.
Solve this for me please
Answer:
y=-3.2x+6
Step-by-step explanation:
ression x3 + 5x-2 when x = 2.
?
Answer:
16 or 14 depending on that 3 after the first x
Step-by-step explanation:
(2)^3+5(2)-2
8+10-2
18-12=16
OR
(2)3+5(2)-2
6+10-2
16-2=14
Solve: 1/2 × 4/5 Simplify your answer.
Answer:
2/5
Plzzzzz give me Brainliest!!!!!
Answer:
4/10 or 2/5 (2/5 is simplified)
Step-by-step explanation:
Mutiply the numerators: 1x4 =4
Multiply the denominators: 2x5
(please explain)2. Write the fact families for the number 144,12, and 12.
Answer:
12 x 12 = 144
144 ÷ 12 = 12
Step-by-step explanation:
12 times 12 is 144 and the opposite of multiplication is division, the sum goes in front when you divide
Help I will make you a brainlist!!
Write the equation of the line with y-intercept 7 and a slope of 1/4
O y= 7x + 1
Oy=+7
Oy= - 1x+7
Oy= 7x - 1
Please help me i make my questions worth more, and give brainliest....
What is the solution for the following equation?
y=2x^2+10x+12
a. x=-2 and x= -3
b.x=2 and x=3
c.x=-2 and x=3
d.x=2 and x=3
Answer:
Option A
Step-by-step explanation:
2x^2+10x+12
Divide through by 2
x^2 +5x+6=0
x^2 +3x+2x+6
x(x+3)+2(x+3)=0
(x+2)(x+3)=o
x=-2 or x=-3
Answer:
A
Step-by-step explanation:
I believe its A cause i just did the same question
Solve 4(t+1)= 6(g-4)
Answer:
Step-by-step explanation:
Simplifying
4(t + 1) = 6(g + -4)
Reorder the terms:
4(1 + t) = 6(g + -4)
(1 * 4 + t * 4) = 6(g + -4)
(4 + 4t) = 6(g + -4)
Reorder the terms:
4 + 4t = 6(-4 + g)
4 + 4t = (-4 * 6 + g * 6)
4 + 4t = (-24 + 6g)
Solving
4 + 4t = -24 + 6g
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + 4t = -24 + -4 + 6g
Combine like terms: 4 + -4 = 0
0 + 4t = -24 + -4 + 6g
4t = -24 + -4 + 6g
Combine like terms: -24 + -4 = -28
4t = -28 + 6g
Divide each side by '4'.
t = -7 + 1.5g
Simplifying
t = -7 + 1.5g
HELP I NEED HELP ASAP
Which equation represents the line that has a slope 5 and passes through the point (0,-2)
A. y = 5x - 2
B. y = x-3
C. y = 5x
D. y = -2x - 5
Answer:
A
Step-by-step explanation:
because the -2 is where the point is and the slope will start there so when you draw a line the line will pass by (0,-2)
Camilla, Lincoln and Ella sat a French test. The test was marked out of 200
Camilla got 4/5 of the 200 marks.
Lincoln got 44% of the 200 marks.
Ella got 198 out of 200 marks.
Who got the highest mark?
Answer:
Ella got the highest marks.
Step-by-step explanation:
Given that:
Camilla got 4/5 of the 200 marks.
Marks of Camilla = [tex]\frac{4}{5}*200[/tex]
Marks of Camilla = 160 marks
Lincoln got 44% of the 200 marks.
Marks of Lincoln = [tex]\frac{44}{100}*200[/tex]
Marks of Lincoln = 88 marks
Ella got 198 out of 200.
On comparing,
198 is the highest out of 200.
Hence,
Ella got the highest marks.
What is the value of (33 - 2 × 7) + (5 × 3 - 22) ?
Answer:
12
Step-by-step explanation:
Keep in mind the rules of PEMDAS
P (parenthesis)
E (exponents)
M (multiply)
D (division)
A (addition)
S (subtraction)
Because parenthesis is the first operation in PEMDAS, you would start by calculating inside the parenthesis
We can start with the numbers inside the first parenthesis
(33 - 2 × 7)
Start by multiplying 2 and 7 because the M comes before the S
(33 - 2×7)= (33- 14)
Now subtract 14 from 33
(33-14) = 19
Step 2: Calculate inside the second parenthesis
(5 × 3 - 22)
Multiply first
(5 × 3 - 22)= (15 - 22)
Subtract!
(15 - 22)= -7
Now add the final number together
(why? There is an addition sign between the two parenthesis ordering us to add the final numbers together)
19 + (-7)
19-7
12
I hope this helps!!!
I need this answer urgently .pls how make u brainliest
I need help .. due now
Answer:
y=x+ an unknown
Hence we are missing the b
y=5 x = 0
So: 5=0+b
So y=x+5
We were missing the y intercept which occurs at x=0
Answer:
? = 5
Step-by-step explanation:
If you think about it y is basically +5 of x.
Quick ex:
If x = 0
Y = 5
If x = 1
Y = 6
So there you go
help pleAse, this is extra credit and I do not want to fail this quarter
Answer:
Jamie will need 6 cups of milk.
Step-by-step explanation:
Given that:
A recipe calls for 2 cups of milk for each batch of pancakes.
1 batch of pancakes = 2 cups of milk
As Jamie is going to triple her recipe, thus the amount of milk in the recipe will also be tripled.
3 batches of pancakes = 2*3 cups of milk
3 batches = 6 cups of milk
Hence,
Jamie will need 6 cups of milk.
!!PLEAS HELP!! ASAP!! WILL GIVE U BRAINLYEST!!
Ana and her friends went to the carnival. While looking at the ferris wheel, they
estimated the distance from one side of the terris wheel to the other side to be about 40 feet.
If their estimation is correct, what would the distance around the ferris wheel be?
!!pleas help me :(!!
Answer:
answer is in the step by step explanation.
Step-by-step explanation:
40 feet is the diameter so 20 feet is radius. 2 times pi times 20 is 125.663706144. if pi is 3.14 then it's 125.6. I hope that answered your question.
please find RQ i cant do it
Answer:
74
Step-by-step explanation:
NP is half of RQ (triangle midpoint theorem)
37 x 2=74
How do I solve this?
Answer: x = 15; y = 32; z = 2.5
see in the picture, u can see that this parallelogram has a right angle and two adjacent equal edges.
=> this parallelogram is a square
=> the diagonal lines of the parallelogram are perpendicular to each other
=> m∠1 = 90°
⇔ 3y - 6 = 90
⇔ 3y = 96
⇔ y = 32
because this is a square
=> 3x = 18z = 45°
=> x = 15
z = 2.5
Step-by-step explanation:
John is buying a TV that costs $1250. He currently has $200 saved and is
saving an additional $50 per week. How many weeks will it take John to
have $1250 saved?
Your answer
Answer:
21 weeks or 5 months 1 week (7 days) to save 1250
Step-by-step explanation:
1250-200 (the amount he has)
1050 which is what he needs to save for
1050/50 = 21
what is the answer to 2(-2x+2)+x+3=37
Answer:
the answer is x=−10
Step-by-step explanation:
hoped I helped:)
Please help 50 pts This is hard and I dont understand it I need answers quick. Thanks Have a good day
What is the maximum number of visits a member of the science museum can make for a total cost of $70?
Answer:
I need to know the cost of one visit
Can I pls get help on this question pls
Answer:
the answer is B.
Step-by-step explanation:
The ratio of Kirk's weight to his father's weight is 1 to 4. If Kirk's father weighs 168 pounds, how many pounds does Kirk weigh?
A
38
В.
42
47
D
52
Answer:
I got B, 42.
Step-by-step explanation: What I did was set up a proportion 1/4 = x/168, 1x168=168, 168/4=42.
please help me with this
Answer:
5 squared, 2 and half, 7 squared, 11 squared, pie
Step-by-step explanation:
Let f(x) = x + 8 and g(x) = x2 - 6x - 7. Find f(g(2)).
1) -7
2) -3
3) 10
4) 33
Answer:
Step-by-step explanation:it 10 cause there is no negative in this equation it’s only subtraction and you subtract and you get the number 10 I got this right
In a grid of an auditorium, the vertices of a section of seats are A (40, 20), B (80, 20), C (100, 70),
and D (40, 70). The coordinates are measured in feet. Find the area of the section.
Answer:
2500
Step-by-step explanation:
there you go haha
Please help! Lynda has $32.00 to spend at the grocery store on boxes of macaroni and cheese. The cost is $3 per box. In addition, her mom told her to buy some oranges that will cost $5. Which equation will let Lynda know how many total boxes of macaroni and cheese,m, she can buy?
A.32 = 5m + 3
B.32 = 3m + 5
C.32 = 3(m - 2) - 5
D.32 = 3(m - 2) + 5
Answer:
B
Step-by-step explanation:
So first we subtract 5 from 32. Then we use that number ÷ 3, and that's the answer. As for the question, We can rule our A because its 3 per box and not 5, and the whole (m-2) thing makes no sense because there isnt a 2 anywhere. I hope this helps!
The equation 32 = 3m - 5 will let Lynda know how many total boxes of macaroni and cheese, m, she can buy.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
Lynda has $32.00 to spend at the grocery store on boxes of macaroni and cheese.
The cost is $3 per box.
If the boxes are m, then the total cost = 3m.
In addition,
her mom told her to buy some oranges that will cost $5.
That means, the linear equation,
32 = 3m - 5
Therefore, the equation is 32 = 3m - 5.
To learn more about the linear equation;
https://brainly.com/question/29739212
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file:///Users/shantanu/Desktop/Screen%20Shot%202021-01-29%20at%204.38.25%20PM
Please
Answer: I can’t open it sorry
Step-by-step explanation:
Answer:
Same here :(
P.S. : Can I get brainliest please?
:))))))))))))))))))))
Answer:
2) 2.75<d is the right answerStep-by-step explanation:
Here, the graph shows d is greater 2.75 but not equal to 2.75.