which of the following represents an arithmetic sequence with a common difference of -8.5?
Answer:
C
Step-by-step explanation:
to have a common difference of -8.5, the sequence has to consistently go down by 8.5.
in the first one, y would go up by 2 every time x goes up by 1, so its not that one.
in the second one, it does go down by 8.5 the first time but the next time it goes down by 4.25, so it's not consistent.
in the third one, each time it goes down by 8.5 so this is the answer.
the fourth one also isn't correct because the graph shows that it is going up, so you know for sure it's not that one.
Find the complex zeros of
[tex] f(x) = {x}^{3 } - 13 {x}^{2} + 59x - 87[/tex]
[tex]f(x) = 0 \\\\\implies x^3-13x^2+59x -87 =0\\\\\implies x^3 -3x^2 -10x^2 +30x +29x - 87=0\\\\\implies x^2(x-3) - 10x(x-3) + 29(x-3) =0\\\\\implies (x-3)(x^2 -10x +29) =0\\\\\implies x - 3 = 0 ~~ \text{or}~~x^2 -10x +29 = 0\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{-(-10) \pm \sqrt{(-10)^2 -4 \cdot 1 \cdot 29}}{2(1)}\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{10\pm \sqrt{-16}}{2}\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{10\pm 4i }{2}\\[/tex]
[tex]\\\implies x =3~~ \text{ or} ~~ x =5 \pm 2i\\\\\text{Hence the complex roots are,}~ 5- 2i ~~ \text{and} ~~5 + 2i[/tex]
Help with this polynomial problem.
Answer:
i cannt see it
Step-by-step explanation:
satellite makes 4 revolutions of the earth in one day. How many revolutions would it make in 6 1/2 days?
5.4-0.25 I'm so confused
Answer:
5.15
Step-by-step explanation:
Answer:
5.15
Step-by-step explanation:
5.4 = 5.40
5.40
- 0.25
= 5.15
because 0.40 - 0.25 = 0.15
Which of the following best describes
the slope of the line below?
• A. Positive
• B. Negative
• C. Undefined
D. Zero
Answer:
A. Positive I'm sorry if I got this wrong answer
Answer:
Please add the picture
Step-by-step explanation:
If it point upward right: positive
if it point downward: negative
If it is just a horizontal line : zero
find the equation of a circle (3,2) (1,4)
Answer:
y = −x + 5
Explanation:
Use the slope formula and slope-intercept form y = mx + b to find the equation.
Hope this helped. Have a good one!
You plant 9 rows of different bulbs in a garden. For each row, you use the rule, “onion, onion, garlic, flower.” How many garlic and flower bulbs do you plant altogether? How many bulbs do you use in all?
Answer:
18; 36
Step-by-step explanation:
If there's 9 rows of "onion, onion, garlic, flower", then you repeat this cycle 9 times.
onion, onion, garlic, flower(1)
onion, onion, garlic, flower(2)
onion, onion, garlic, flower(3)
onion, onion, garlic, flower(4)
onion, onion, garlic, flower(5)
onion, onion, garlic, flower(6)
onion, onion, garlic, flower(7)
onion, onion, garlic, flower(8)
onion, onion, garlic, flower(9)
Add up the garlic and flower bulbs, which equals 18. Then add up all of the bulbs, which is 36.
-hope it helps
Use the distributive property to simplify this expression -2x(3x + x-5)
Answer:
− 8 x ^2 + 10 x
Step-by-step explanation:
HELPPP FAST LIKE 4 minutes left
Answer: A. 40
Step-by-step explanation:
Can someone help me please
Answer:
31.25
Step-by-step explanation:
Divide 250 by 8=31.25
WILL GIVE BRAINLIEST!!!!
Answer:
$319
Step-by-step explanation:
Usually, sales tax is proportional to the amount of the sale, so if the sales tax is a factor of 22/16 times the original tax, then the sale amount must be 22/16 times the original item cost:
(22/16)·$232 = $319
Kripa’s father is 35 years younger than her grandfather, and 40 years older than her. If the sum of the ages of the three is 160 years, let’s find her grandfather’s age?
Answer:
90 years
Step-by-step explanation:
if Kripa's age = x
Father's age = x + 40
Grandfather's age = (x + 40) + 35 = x + 75 (father is 35 years younger than grandfather i.e. grandfather is 35 years older than father)
x + x + 40 + x + 75 = 160
=> 3x = 160 - 115
=> x = 45/3 = 15
grandfather's age = x + 75 = 90 years
Answer:
90 yearsStep-by-step explanation:
x + x + 40 + x + 75 = 160
=> 3x = 160 - 115
=> x = 45/3 = 15
Grandfather's age = x + 75 = 90 years
3.
Billy and Karen are playing a billy and Karen are playing a game. They toss a coin that can land either heads or tails and a
spinner that can land on any of 8 equal regions. If a coin is tossed and the spinner is spun,
howmany possible outcomes are there?
The number of possible outcomes for both Billy and Karen = 32 possible outcomes.
A coin has head and tail and thus;
Number of possible outcomes of a coin toss = 2
Now, for the for the spinner, since there are 8 equal regions;
The number of possible outcomes of the spinner = 8
Now, since they are playing a game;
Number of possible outcomes for Billy for one toss of coin and one time of spinning the spinner = 8 × 2 = 16
Similarly;
Number of possible outcomes for Karen for one toss of coin and one time of spinning the spinner = 8 × 2 = 16
Therefore;
Total possible outcomes for both Karen and Billy = 16 + 16 = 32 possible outcomes.
Read more about probability at; https://brainly.com/question/21186493
How to graph the table
1) Solve 3x 8-6. Graph the solution.
A)
B)
C)
D)
Answer: negative 2 arrow to the left
Step-by-step explanation:
emma is finding 7/2 x 2/5
Answer:
14/10
OR
7/5
Step-by-step explanation:
(7*2)/(2*5) = 14/10
(14/2) / (10/2) = 7/5
Answer:
Mixed fraction: 1 2/5
Decimal form: 1.4
Hope this helps :)
7 1/4 -3 3/4= 4 1 /4 - 3/4
Answer:
7/2
Step-by-step explanation:
Sally was standing 30 feet from a tree.The angle of elevation from her eyes(standing 4 feet above the ground) to the top of the tree was 38. How tall is the tree? Round your answer to the nearest foot
Answer:
27ft-long
Step-by-step explanation:
good luck!!!
The graph show how many minutes it takes Ziah to run a certain distance in the city What is the constant of proportionality? Write your answer as a decimal
need answer in 5 minutes will give brainliest
Explanation:
The constant of proportionality is the same as the slope for equations of the form y = kx.
To find the value of k, we divide the y over x values.
k = y/x = 12/8 = 1.5
or
k = y/x = 6/4 = 1.5
Either way the answer is 1.5
This means Ziah ran at a rate of 1.5 city blocks per minute.
What is the total amount and the amount of interest earned on $5,000 at 8% for 20 years?
Answer:
final balance = 24,634.02
compound interest = 19,634.02
Step-by-step explanation: not my answer
The formula N(x) = x2 -2x + 2016 represents the number N of gang-related homicides across the country x years after 2017. According to this formula, in what year will the number of gang-related homicides be 2051?
Answer:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
1
,
2015
)
Focus:
(
1
,
8061
4
)
Axis of Symmetry:
x
=
1
Directrix:
y
=
8059
4
x
y
−
1
2019
0
2016
1
2015
2
2016
3
2019
Step-by-step explanation:
The number of gang-related homicides in 2051 will be 3,104.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The function is given below.
N(x) = x² -2x + 2016
N represents the number of gang-related homicides across the country x years after 2017.
Then the number of gang-related homicides be 2051 will be given as,
N(2051 - 2017) = (2051 - 2017)² - 2(2051 - 2017) + 2016
N(34) = 34² - 2(34) + 2016
N(34) = 1156 - 68 + 2016
N(34) = 3,104
The quantity of pack-related homicides in 2051 will be 3,104.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ2
whats the answer to 3 1/2 divided by 2 1/4
Answer:
1.556
Step-by-step explanation:
Divide
3 and 1 over 23
1
2
÷ 2 and 1 over 42
1
4
= 28 over 18
28
18
Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
3 and 1 over 23
1
2
= ( 3 × 2 ) over 2
3 × 2
2
+ 1 over 2
1
2
= ( 6 + 1 ) over 2
6 + 1
2
= 7 over 2
7
2
Step 1 of 2: Divide, sub-step b: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
2 and 1 over 42
1
4
= ( 2 × 4 ) over 4
2 × 4
4
+ 1 over 4
1
4
= ( 8 + 1 ) over 4
8 + 1
4
= 9 over 4
9
4
Step 1 of 2: Divide, sub-step c: Divide.
Divide
7 over 2
7
2
÷ 9 over 4
9
4
= 7 over 2
7
2
× 4 over 9
4
9
= ( 7 × 4 ) over ( 2 × 9 )
7 × 4
2 × 9
= 28 over 18
28
18
To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.
Step 1 of 2: Divide.Hide
Step 2 of 2: Simplify.
Simplify
28 over 18
28
18
= 14 over 9
14
9
= 1 and 5 over 91
5
9
Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
28 over 18
28
18
= ( 28 ÷ 2 ) over ( 18 ÷ 2 )
28 ÷ 2
18 ÷ 2
= 14 over 9
14
9
2 is the greatest common divisor of 28 and 18. Reduce by dividing both numerator and denominator by 2.
Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
14 over 9
14
9
= 1 and 5 over 91
5
9
14 ÷ 9 = 1 remainder 5
Answer:
1.5555555555556
Step-by-step explanation:
when you divide those numbers, thats your answer
Hi, I'm going to be starting homeschooling most likely from 7th to 12th Grade mainly due to my Public School failing me miserably and C0vid. I was curious if anyone could recommend me any home-schooling programs? All I'm looking for in a home-school is one that's easy in math or one that potentially has a lot of multiple-choice questions as obviously i will be using this website a lot to help me get through the stuff i don't exactly fully understand. All replies are GREATLY appreciated, Thank you so much.
Answer:
I use connexus :)
Step-by-step explanation:
Which expression is equivalent to \sqrt [ 3 ] { 32 x ^ { 8 } y ^ { 10 } } ?
Answer:3x⁵
Step-by-step explanation: is equivalent to 3x⁵
A total of 180 students and 35 chaperones are going on a field trip to the Smithsonian Institution in Washington, D. C.
Write the ratio in simplest form.
the ratio of students to people on the trip
Answer:
36 : 43
Step-by-step explanation:
So, we have 180 : 35 + 180 in the students to people on the trip180 : 21536 : 43Therefore, the ratio of students to people is 36 : 43You use a garden hose to fill a wading pool. If the water level rises 16 centimeters every 7 minutes
and you record the data point of (21,y), what is the value of y? Use slope to justify your answer.
The rate of change at which the water level rises is ____ centimeters per minute. So solving the equation ____ for y gives a y-value equal to ____
What is 1 + 1 I need to know.
Answer:
2
Step-by-step explanation:
please mark my answer in brainlist
Answer:
2
Step-by-step explanation:
1+1=2
Help pls , I’m lost
The length of a man's shadow is directly proportional with his height.
At the same time of day, a man who is 1.8 meters tall casts a 25.2
meter shadow and his son casts a 21 meter shadow. What is the
height of the man's son, in meters? If necessary, round to the nearest
tenth.
Answer:
The man's son height is 1.5m
Step-by-step explanation:
[tex]\frac{x}{21} =\frac{1.8}{25.2}[/tex]
[tex]\frac{21x1.8}{25.2}[/tex]
21x1.8= 37.8
37.8 ÷ 25.2= 1.5
Hope this helps
sorry if i got it wrong