Answers
Answer:
2. A(n) = 8+(n-1)-6
3. (-3-(-4))/(-6-8)
= -1/14
Answer:
see explanation
Step-by-step explanation:
(2)
The explicit formula for an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 8 and d = a₂ - a₁ = 2 - 8 = - 6 , thus
[tex]a_{n}[/tex] = 8 - 6(n - 1) = 8 - 6n + 6 = 14 - 6n
(3)
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (8, - 4) and (x₂, y₂ ) = (- 6, - 3)
m = [tex]\frac{-3+4}{-6-8}[/tex] = [tex]\frac{1}{-14}[/tex] = - [tex]\frac{1}{14}[/tex]
Related Questions
Use the information to answer the question.
Liz types at a rate of 25 words per minute. The graph shows the number of words typed over time by 4 other students.
Which student types at the same unit rate of words per minute as Liz?
please help!
Answers
This is because if she types 25 words in one minute then that means she can type 50 words in 2 minutes (just multiply by 2). The only person on the graph who can type 50 words in 2 minutes is Britt.
Hope this helps! Any questions let me know :)
3x+1 = 27
answer choices: a) -1/3
b) -6
C) -2/3
d) -3/2
Answers
A 35-foot tall pole is leading towards a building. To stop the pole from leaning further, a 48-foot long cable is secured from the top of the pole to a stake in the ground opposite of the building. If the stake is 30 feet from the pole, what angle does the cable make with the pole?
Round the answer to the nearest tenth.
Answers
9514 1404 393
Answer:
38.5°
Step-by-step explanation:
A triangle solver can give an answer easily. The angle is 38.5°.
__
The law of cosines can be written to solve for an unknown angle C opposite side 'c' and flanked by sides 'a' and 'b'.
C = arccos((a² +b² -c²)/(2ab))
Here, we have a=35, b=48, c=30, so the angle is ...
C = arccos((35² +48² -30²)/(2·35·48)) = arccos(2629/3360) ≈ 38.515°
The angle the cable makes with the pole is about 38.5°.
what is 1 2/5 × 2
what is 1/4 × 1
Answers
Answer:
[tex]1).[/tex] [tex]2\frac{4}{5}[/tex]
[tex]2).[/tex] [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]1).[/tex] [tex]1\frac{2}{5}*2[/tex]
Convert mixed number to improper fraction: [tex]a\frac{b}{c} =\frac{a*c+b}{c}[/tex]
[tex]1\frac{x2}{5} =\frac{1*5+2}{5} =\frac{7}{5}[/tex]
[tex]\frac{7}{5} *2[/tex]
[tex]\frac{7}{5} *2[/tex]
Apply the fraction rule: [tex]\frac{a}{b}*c =\frac{a*c}{b}[/tex]
[tex]\frac{7}{5} *2=\frac{7*2}{5}[/tex]
[tex]=\frac{7*2}{5}[/tex]
Multiply the numbers: [tex]7*2=14[/tex]
[tex]=\frac{14}{5}[/tex]
Convert improper fractions to mixed numbers: [tex]\frac{14}{5}[/tex]
[tex]\frac{14}{5}[/tex]
Write the problem in long division format:
[tex]\begin{matrix}5\overline{|\smallspace14}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
Divide [tex]14[/tex] by [tex]5[/tex] to get [tex]2[/tex]
[tex]\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace14}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
Multiply the quotient digit [tex](2)[/tex] by the divisor [tex]5[/tex]
[tex]\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace14}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace1\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
Subtract [tex]10[/tex] from [tex]14[/tex]
[tex]\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace14}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace1\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\space\space\emptyspace4\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
The solution for long division of [tex]\frac{14}{5}[/tex] is [tex]2[/tex] with a remainder of [tex]4[/tex]
[tex]2\quad \mathrm{Remainder}\quad \:4[/tex]
Convert to mixed number: [tex]Quotient\frac{Remainder}{Divisor}[/tex]
[tex]\frac{14}{5} =2\frac{4}{5}[/tex]
[tex]=2\frac{4}{5}[/tex]
[tex]2\frac{4}{5}[/tex]
Convert [tex]\frac{4}{5}[/tex] to decimal using long division
[tex]\frac{4}{5}[/tex]
Divide [tex]4[/tex] by [tex]5[/tex] to get [tex]0[/tex]
[tex]\begin{matrix}\space\space\space\space\emptyspace0\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace4}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
Multiply the quotient digit [tex](0)[/tex] by the divisor [tex]5[/tex]
[tex]\begin{matrix}\space\space\space\space\emptyspace0\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace4}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
Subtract [tex]0[/tex] from [tex]4[/tex]
[tex]\begin{matrix}\space\space\space\space\emptyspace0\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace4}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\emptyspace4\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
Add a decimal place and a zero to the dividend
Bring down the zero from the dividend
[tex]\begin{matrix}\space\space\space\space\emptyspace0.\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace4.0}\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\emptyspace4\emptyspace0\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
Divide [tex]40[/tex] by [tex]5[/tex] to get [tex]8[/tex]
[tex]\frac{40}{5} =8[/tex]
The solution for long division of [tex]\frac{4}{5}[/tex] is [tex]0.8[/tex]
[tex]=2+0.8[/tex]
Add [tex]2+0.8=2.8[/tex]
[tex]2).[/tex] [tex]\frac{1}{4} *1[/tex]
Multiply [tex]\frac{1}{4} *1=\frac{1}{4}[/tex]
[tex]=\frac{1}{4}[/tex]
Anything multiplied by [tex]1[/tex] is the same number.
Divide the the numbers [tex]\frac{1}{4}[/tex] to get decimal form
Divide [tex]1[/tex] by [tex]4[/tex]
[tex]\frac{1}{4} =0.25[/tex]
[tex]=0.25[/tex]
Answer:
12/5x2=25
1/4x1=1/4
Step-by-step explanation:
Subtract the sum of −7 and 13 from the sum of −2 and −9 *
Answers
Answer:
-17
Step-by-step explanation:
The sum of -2 and -9 is (-2) + (-9) = -2 - 9 = -11.
The sum of -7 and 13 is 13 - 7 = 6.
Hence, subtracting 6 from -11 would be -11 - 6 = -17.
Hope this helped!
Please help me solve these quadratic equations. Also please show your work simply!!
Answers
Answer:
Negative numbers can't have a square root so they are all undefine and so is 7.
Step-by-step explanation:
The cost of a jacket increased from $50.00 to $59.00. What is the percentage increase of the cost of the jacket?
Answers
17%
58.50-50=8.5
8.5/50=0.17
0.17=17%
(x+1)-6(x+1)+8 how to factorise it?
Answers
Answer:
Step-by-step explanation:
If you have written the question correctly, then you don't need to factor it. You only need to remove the brackets.
x + 1 + 6x + 6 + 8
7x + 15 is your final answer.
However, I think the question is
(x + 1)^2 + 6(x + 1) + 8
Let y = x + 1
y^2 + 6y + 8
(y + 2)(y + 4)
(x + 1 + 2 ) ( x + 1 + 4)
(x + 3)(x + 5)
Given: x + y = 10.
If x = -21, what is y?
Answers
You have to work backwards to isolate y. You would at 21 to both sides and get y = 31
Answer:
31.
Step-by-step explanation:
-21 + 31 = 10
x + y = 10
y = 31
Hana has some blue paint. She wants to lighten the shade, so she mixes in 1
cup of white paint. The color is still too dark, so Hana keeps mixing in 1 cup of
white paint at a time. After adding 4 cups, she decides the color is too light.
Answers
Answer:
The answer is below
Step-by-step explanation:
Hana has some blue paint. She wants to lighten the shade, so she mixes in 1 cup of white paint. The color is still too dark, so Hana keeps mixing in 1 cup of white paint at a time. After adding 4 cups, she decides the color is too light.
How would she express the amount of paint to add to be between too dark and too light.
Solution:
After adding a cup of white paint, the color is still dark, she adds the second cup of paint and the color is still dark. She adds the third cup of paint and the color is still dark but when she adds the fourth cup of white paint, the color became too light.
This means that the amount of paint to add to be between too dark and too light is between the third and fourth cup.
Let w represent the amount of paint to add to be between too dark and too light. Hence:
3 < w < 4
What information can be used to compare linear relationships? Explain why.
Answers
Answer:the slope and the y intercept (you can tell there linear if the slope is the same and the y-intercepts are different).
Step-by-step explanation:
Answer:
Sample Response: Linear relationships can be compared using their initial values, or y-intercepts, and their rates of change, or slopes. Initial values can tell you which relationship started with a greater value. Comparing slopes can tell you which relationship is rising or falling faster.
Step-by-step explanation:
Write a real-world problem that can be solved using the equation 9+4x=21−2x.
Answers
1. you have to subtract 9 from both sides. 21-9= 12
2. you have to add 2x to both sides. 4x+2x= 6x
3. 6x divided by both sides =
4.x=2
help needed!!! OVER DUE ASSIGNMENT! click picture!!
Answers
Answer:
Step-by-step explanation:
x= 6/2=3 ; y = 59° ( it opposes the side that is 10/2=5)
2) x= 6/2 =3
Write the sentence as an inequality.
Three times a number w is less than 18.
Answers
Answer:
w<6
Step-by-step explanation:
3w/3 <18/3
You divide that and get w<6.
Your task is to create a tondo (a circular art piece) that demonstrates your understanding of the different circle properties.
Topic: Circle Geometry
For more info see attachment.
Answers
Answer:
I am very very very sorry if this is incorrect, this did not make much sense to me! :(
Step-by-step explanation:
The point-slope form of a line that has a slope of Two-thirds and passes through point (6, 0) is shown below.
y minus 0 = two-thirds (x minus 6)
What is the equation in slope-intercept form?
Answers
Answer:
c
Step-by-step explanation:
If 15 ounces of candy cost $3.75 what is the price per unit
Answers
Answer:
$0.25 per ounce
Step-by-step explanation:
3.75 divided by 15 is 0.25
Answer:
0.25 per ounce
Step-by-step explanation:
3.75 divided by 15 is 0.25
An iPhone is on sale for $450. It originally cost $500. What percent off is the sale offering?
Answers
Answer:
10% off
Step-by-step explanation:
What is the value of v in the equation?
V - 7 = 15 + 12
A.21
B.13
C.27
D.34
Answers
Answer:
D. 34
Step-by-step explanation:
15+12=27
v-7=27
+7. +7
______
v=34
Solve the system of equations.
y=4x
y = x^2 + 3
A. (-1, -4) and (3, 12)
B. (0, 3) and (1, 4)
C. (1, 4) and (3, 12)
D. (-3, -12) and (-1, -4)
Answers
Answer:(1,4) and (3,12)
Step-by-step explanation
A sports store is having a 20% off sale on skis. The original price of the ski is $560.00
The tax rate is 8.5%. What is the total cost of the skis?
Answers
Answer:
Total cost: 486.080$
Step-by-step explanation:
Original Price: 560.000$
Sale: 20%
Discount: 560.000$ * 20% = 112.000$
Discounted Price: 560.000$ - 112.000$ = 448.000$
Tax Rate: 8.5%
Tax: 448.000$ * 8.5% = 38.080$
Tax after Tax: 448.000$ + 38.080$ = 486.080$
Josh drew the rectangle below and then reflected it over C D to form Rectangle A'B'C'D'. He argues that the image of the rectangle will be in the same location as the original rectangle was. His classmate, Raquel, thinks that it wil not be. Who is correct?
Answers
Answer: Raquel
Step-by-step explanation: If you’re reflecting then obviously it’s going to be in a new spot because it flips to somewhere new
tree+snowman+tree=17
raindeer+raindeer+snowflake=12
raindeer=snowflake
raindeer-3=snowman
then what does tree equal
Answers
Answer:
Step-by-step explanation:
Monke
Which fractions are equivalent to 40%? Check all that apply. 100 110 0 200 은 10 10
Answers
Answer:
2/5
8/20
4/10
16/40
Step-by-step explanation:
all except the first 1
Step-by-step explanation:
fhdjeueuejejeudi
Does anyone wanna help ya girl out?? I’ll give brainliest for best answer (it’ll go who answers first, and how helpful the answer is)... you’ll also get 20 points teehee :)
Answers
Answer: 1, 2, and 4
Step-by-step explanation:
What are the slope and the y-intercept of the line of best fit on this scatter plot?
A.
The y-intercept is , and the slope is .
B.
The y-intercept is , and the slope is .
C.
The y-intercept is , and the slope is .
D.
The y-intercept is , and the slope is .
Answers
Answer:
the y-intercept is 8 and the slope is -4/3 .
Step-by-step explanation:
The y - intercept is (0, 8) and the slope is -4/3
What is the y-intercept?"It is the point at which the graph of the function intersects the y-axis"
What is slope?The slope of the line passing through points [tex](x_1,y_1),(x_2,y_2)[/tex] is,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
For given example,
We can observe that the line of best fit on this scatter plot passes though points (0, 8) and (6, 0)
Using the slope formula,
⇒ slope = (0 - 8)/(6 - 0)
⇒ slope = (-8)/6
⇒ slope = -4/3
Also, we can observe that the line of best fit on this scatter plot intersects y-axis at point (0, 8)
So, the y - intercept is (0, 8)
Therefore, the y - intercept is (0, 8) and the slope is -4/3
Learn more about slope and y-intercept here:
https://brainly.com/question/12763756
#SPJ2
write an equation in slope intercept form for the line that passes through (1,-1) and is parallel to the line described by y=2x-4
PLEASE HELP:(((((
Answers
If 2 lines are parallel, their slopes are the same, so all we need to do is plug in the given point and slope in the equation y = mx + b and solve for b.
[tex]-1 = 2(1) + b\\\\-1 = 2 + b\\\\-3 = b[/tex]
The equation of a line in slope-intercept form that goes through (1, -1) and is parallel to the line y = 2x - 4 is [tex]y = 2x - 3[/tex].
When f(x)=4, what is the value of x?
O0
O2
O3
O4
Answers
Answer:
2
Step-by-step explanation:
Answer:
It is 04
Step-by-step explanation:
Chip is planning a 1,000 mile trip. His
car's
gas mileage is about 20 miles per
gallon. Gas costs $1.50 per gallon.
About how much will the gas for the
trip cost?
Answers
Answer:
$75
Step-by-step explanation:
First divide 1,000 by 20 which gives you 50
Then Multiply 50 by $1.50 to get $75
What’s 2(3+a) if a=2?
Answers
Answer:
10.
Step-by-step explanation:
2(3+a)
= 2(3+2)
= 2(5)
= 10
Hope this helped!