Answer:
1.1.1. The common difference is 12
1.1.2. The first term is 30
Step-by-step explanation:
1.1.1. The given quadratic pattern is presented as follows;
The 2nd term = 1
The 3rd term = -16
The 5th term = -14
Let 'd' represent the second difference, we have;
1 + 2d + a = -16
2·d + a = -16 - 1 = -17
2·d + a = -17...(1)
-16 + 3d + a + 4d + a = -14
7·d + 2·a = -14 + 16 = 2
7·d + 2·a = 2...(2)
Making 'a' the subject of both equation (1) and (2) gives;
a = -17 - 2·d
a = 1 - 7/2·d
∴ -17 - 2·d = 1 - 7/2·d
(7/2)·d - 2·d = 1 + 17
(3/2)·d = 18
d = (2/3) × 18 = 12
The common difference, d = 12
a = -17 - 2·d = -17 - 2 × 12 = -41
1.1.2. Let 'x' represent the first term, we have;
x + a + d = 1
x = 1 - (a + d)
x = 1 - (-41 + 12) = 30
The first term, x = 30
i
x+2y=-1
y=-3x - 8
Help please
Answer:
x= -3 y =1
Step-by-step explanation:
3. STOCK A computer stock lost 2 points
each hour for 6 hours. Find the total
points the stock fell.
Answer:
12
Step-by-step explanation:
if you add up 2, 6 times it would be 2,4,6,8,10,12
or you would multiply the 2 assuming that there was no number to subtract 2 six times from to start
11. Wilson bought a bus ticket to travel 22 miles to his friend's house. The ticket price was $5.00
for the first 10 miles and $0.50 for each additional 1/2 mile.
How much did Wilson pay for his bus ticket?
A $11.00
B. $14.50
C. $17.00
D. $22.00
Answer:
A
Step-by-step explanation:
22-10=12
total cost=5+12×0.50
=5+6
=11 $
What do you notice when you look at the table of
values?
Pattern
Step-by-step explanation:
I know there's a pattern but there's a cutie watching this rn hey lol
Find an
explicit formula for the arithmetic sequence 37, 74, 111, 148, ....
Note: the first term should be a(1).
Answer:
Step-by-step explanation:
a₁ = 37
a₂ = 74
Common difference d = a₂ - a₁ = 37
nth term = a₁ + (n-1)d
= 37 + (n-1)37
= 37n
Answer:
Below in bold.
Step-by-step explanation:
The common difference is 74-37 = 37.
nth term a(n) = a1 + (n - 1)d
= 37 + 37(n - 1)
= 37n.
Matteo spends a total of 38 min exercising. He walks for 6 min to warm up and then runs at a constant rate of 8 min per mile for the rest of the time. Matteo says that he ran 4.75 mi. Is he correct?
Answer:
No, he not correct because he only ran 4 mi
Step-by-step explanation:
If he walks for 6 min out of the 38 min, then he ran for 32 min.
d = rt 1 mi = 8r
r = 1/8 = 1 mi/8 min Since he ran 32 min we have
d = 1/8(32) = 4 mi.
No, he not correct because he only ran 4 mi
19.87 but there’s a 20% discount what’s the answer now?
19.87 = 100%
If you divide both sides by ten, you would get what ten percent is.
1.987 = 10%
Multiply this by two to get 20%.
3.974 = 20%
Minus twenty percent from the original amount.
18.87 minus 3.974 = 15.886 after the discount.
What is an equation of the line that passes through the points (-6,-5) and (-3,0)?put your answer in fully reduced form
Step-by-step explanation:
The equation is y = -3x + 6.
Answer:
3y = 5x + 15
Step-by-step explanation:
Slope = Change in y-cordinates
---------------------------------
Change in x-cordinates
= 0 - (-5)/-3 - (-6)
= 5/3
Using point (-3,0)
y - y1 = m(x - x1)
y - 0 = 5/3 (x - (-3))
y = 5/3 (x + 3)
Expand the bracket
y = 5x/3 + 15/3
Multiply through by 3
3y = 5x + 15
Solve a quadratic equation by factoring j2–30j=0
Answer:
j = 0 or j = 30
Step-by-step explanation:
j² - 30j = 0
Factorise j out of both terms on the left side.
j (j-30) = 0
Apply zero product rule.
j = 0 or j-30 = 0
Find the value of j.
j = 0 or j = 30
A city library selects a random sample of 1,250 of its patrons and finds that the 90% confidence interval for the
proportion of those who have read an e-book in the previous 12 months is (0.71, 0.75).
Calculate the point estimate and margin of error for the given confidence interval.
Enter both values to 2 decimal places.
The point estimate =
The margin of error =
Answer:
point estimate: .73
margin of error: .02
Step-by-step explanation:
correct on edg
Lara borrowed $4500 for some home repairs. She will be paying 6% in simple interest over the next three years. What is the total amount she will be paying on the loan
Answer:
5310
Step-by-step explanation:
6% of 4500=270
270x3years=810
4500+810=5310
Lara will be paying the total amount is $5310
What is simple interest?Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.
Given that, Lara borrowed $4500 for some home repairs. She will be paying 6% in simple interest over the next three years.
We need to find the total amount she will be paying on the loan,
So, the formula for simple interest is - SI = PRT / 100
P = principal, r = rate and t = time
Therefore,
SI = 4500 x 6 x 3 / 100
= 45 x 18 = 810
The interest = $810
She will pay = interest + principal = 810 + 4500 = $5310
Hence, Lara will be paying the total amount is $5310
Learn more about simple interest click;
https://brainly.com/question/25845758
#SPJ2
Simplify by combining like terms and then FACTOR the expression -3+5y+5+3y
Answer:
7y+2
Step-by-step explanation:
3y+5y=7y
5-3=2
two functions, A and B , are described as followed
Answer:
it was never followed by the description
Step-by-step explanation:
Select the correct volume formula for a cone.
Answer:
1/3 pie r square h ( 2nd option)
Step-by-step explanation:
100x² + 180x + 81
Solve this PLZ
Answer:
[tex]\huge\boxed{\sf (10x+9)^2}[/tex]
Step-by-step explanation:
[tex]\sf 100x^2 + 180x+81\\\\= (10x)^2 + 2(10x)(9)+ (9)^2\\\\Using \ Formula \ a^2 +2ab+b^2 = (a+b)^2\\\\= (10x+9)^2\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
[tex](10x + 9 {)}^{2} [/tex]
Step-by-step explanation:
1) Rewrite it in the form a² + 2ab + b², where a = 10x and b = 9.
[tex](10x) ^{2} + 2(10x)(9) + {9}^{2} [/tex]
2) Use square sum: ( a + b )² = a² + 2ab + b².
[tex](10x + 9 {)}^{2} [/tex]
Hence, the answer is (10x + 9)².
Simplify the following expression.
Answer:
1/64
Step-by-step explanation:
Simplify the following:
1/(4^(11/3)×4^(-2/3))
Hint: | Simplify radicals.
1/4^(2/3) = 1/(4^2)^(1/3) = 1/(2^4)^(1/3) = (1/2^(1/3))/2:
1/(4^(11/3)×(1/2^(1/3))/2)
Hint: | Multiply numerator and denominator of 1/(2 2^(1/3)) by 2^(2/3).
Rationalize the denominator. 1/(2 2^(1/3)) = 1/(2 2^(1/3))×(2^(2/3))/(2^(2/3)) = (2^(2/3))/(2×2):
1/(4^(11/3)×(2^(2/3))/(2×2))
Hint: | Multiply 2 and 2 together.
2×2 = 4:
1/(4^(11/3)×(2^(2/3))/4)
Hint: | Separate the exponent of 4^(-11/3) into integer and fractional parts.
4^(-11/3) = 4^(1/3 - 12/3) = 4^(-12/3)×4^(1/3):
(4^(-12/3) 4^(1/3))/((2^(2/3))/4)
Hint: | Divide 12 by 3.
12/3 = (3 (-4))/3 = 4:
(4^(-4) 4^(1/3))/((2^(2/3))/4)
Hint: | Compute 4^4 by repeated squaring.
4^4 = (4^2)^2:
(4^(1/3))/((2^(2/3))/4) 1/(4^2)^2
Hint: | Evaluate 4^2.
4^2 = 16:
(4^(1/3))/(16^2×(2^(2/3))/4)
Hint: | Evaluate 16^2.
| 1 | 6
× | 1 | 6
| 9 | 6
1 | 6 | 0
2 | 5 | 6:
(4^(1/3))/(256×(2^(2/3))/4)
Hint: | Simplify radicals.
4^(1/3) = (2^2)^(1/3):
1/(256×(2^(2/3))/4) 2^(2/3)
Hint: | Write (2^(2/3))/(256×(2^(2/3))/4) as a single fraction.
Multiply the numerator by the reciprocal of the denominator, (2^(2/3))/(256×(2^(2/3))/4) = (2^(2/3))/256×4/2^(2/3):
(2^(2/3)×4)/(256×2^(2/3))
Hint: | Cancel common terms in the numerator and denominator of (2^(2/3)×4)/(256×2^(2/3)).
(2^(2/3)×4)/(256×2^(2/3)) = (2^(2/3))/(2^(2/3))×4/256 = 4/256:
4/256
Hint: | Reduce 4/256 to lowest terms. Start by finding the GCD of 4 and 256.
The gcd of 4 and 256 is 4, so 4/256 = (4×1)/(4×64) = 4/4×1/64 = 1/64:
Answer: 1/64
pls answer asap!!ty!!
Please label the missing angles below.
Answer:
Triangle A: 38 degrees
Triangle B: Unknown (not enough information)
Triangle C: Unknown (not enough information)
Triangle D: 70 degrees
Triangle E: 40 degrees
Step-by-step explanation:
Work for Triangle A: 90 + 52 = 142. 180 - 142 = 38.
Work for Triangle B: Unidentifiable because there is no indicator to tell you if any of the angles/lines are equal. Generally there will be a "double lined" indicator in the corners of which a triangles angles are equal.
Work for Triangle C: Same as B.
Work for Triangle D: 90 + 20 = 110. 180 - 110 = 70.
Work for Triangle E: 90 + 50 = 140. 180 - 140 = 40.
Simply the following
-2+3(1-4)-2
Answer:
- 13
Step-by-step explanation:
Given
- 2 + 3(1 - 4) - 2 ← evaluate parenthesis
= - 2 + 3(- 3) - 2 ← perform multiplication
= - 2 - 9 - 2
= - 13
Step-by-step explanation:
solution
= -2+3(3)-2
=-2+3*3-2
= -2+9-2
=-11-2
= -9
help pls, I'm timed!
Answer:
90
Step-by-step explanation:
11x + 4y = 32
x = -2y - 2
2/5 divided by 3/4
9/4 divided by 3/4
-5/7 divided by 1/3
-5/3 divided by 1/6
2/5 ÷ 3/4 = 8/15
9/4 ÷ 3/4 = 3
-5/7 ÷ 1/3 = -15/7
-5/3 ÷ 1/6 = -10
What is the difference between a wheel and a roller?
There are 4 consecutive even integers that add up to 268. Which integers are they?
Answer:
4n+ 12 = -268, or 4n = -280, or n = -70. This would imply that the four consecutive ODD integers are -70, -68, -66, -64.
Step-by-step explanation:
Hope this helps :)
(x-1) (x+2) (x-3)= muszę wykonać działanie wyznaczyć iloczyn
Answer:
x^3-2x^2-5x+6
Step-by-step explanation:
What is the answer of R4 × 38
Answer:
38r^4 ( I hope this was helpful) >;D
pls help ill give brainliest. the red isnt part of it was just how it was screenshot.
Find the area of a circle with 7cm radius .
Use the value 3.14 for π, and do not round your answer.
Be sure to include the correct unit in your answer.
Answer:
153.9
Step-by-step explanation:
hope it helps
Which of the following situations are equal to 40%? Select all that apply.
A) 5 out of 20
B) 6 out of 15
C) 10 out of 25
D) 45 out of 90
E) 32 out of 80
Solve for k, the constant of variation, in an inverse variation problem where y=17 x=6
Answer:
k=102
Step-by-step explanation:
hope this helps with your assignment
Which equation, when graphed, has x-intercepts at (8,0) and (-2, 0) and a y-intercept at (0, -48)?
f(x) = -3(x – 8)(x + 2)
f(x) = -3(X + 8)(x - 2)
f(x) = 3(x-8)(x + 2)
O f(x) = 3(X + 8)(- 2)
Answer:
f(x)=-3(x-8)(x+2)
Step-by-step explanation:
f(8)=-3(8-8)(8+2)=-3×0×10=0
f(-2)=-3(-2-8)(-2+2)=-3×(-10)×0=0
f(0)=-3×(0+8)×(0+2)=-3×8×2=-48
find the value of the slope and the type of slope
Answer:
-5
Step-by-step explanation:
Each time the x value goes up 1, the y value goes down 5.
change in x = 1
change in y = -5
slope = (change in y)/(change in x)
slope = -5
Answer:
-five
Step-by-step explanation:
rise over run