Answer:
C (-2,2)
D (1,-2)
Step-by-step explanation:
happy thanksgiving!
There are 153 millimeters of juice in 1 carton. A three-pack of juice boxes contains a total if 459 millimeters. A. Estimate, and then find the actual total amount of juice in 1 carton and in a three-pack of juices boxes.
Answer:
1 juice boxes = 153 millimeters
459 ?
3 juice boxes = 459 millimeters
Step-by-step explanation:
What is the nth term rule of the quadratic sequence below?
8
,
16
,
26
,
38
,
52
,
68
,
86
,
.
.
.
The [tex]nth[/tex] term rule of the quadratic sequence will be [tex]n^2+5n+2[/tex] .
What is quadratic sequence ?Quadratic sequences are sequences that include [tex]nth[/tex] term. They can be identified by the fact that the differences between the terms are not equal, but the second differences between terms are equal.
Quadratic sequence [tex]=an^2+bn+c[/tex]
Here [tex]a,b,c[/tex] are constant and [tex]n[/tex] is the position of term.
First difference [tex]= 3a+b[/tex]
Second difference [tex]=2a[/tex]
We have,
Quadratic sequence [tex]8,16,26,38,52,68,86,....[/tex]
Quadratic sequence [tex]=an^2+bn+c[/tex]
so,
For [tex]n=1[/tex];
[tex]8=an^2+bn+c[/tex]
[tex]8=a+b+c[/tex] [tex]........(i)[/tex]
For [tex]n=2[/tex];
[tex]16=4a+2b+c[/tex] [tex]........(ii)[/tex]
For [tex]n=3[/tex];
[tex]26=9a+3b+c[/tex] [tex]........(iii)[/tex]
Now,
Subtract equation [tex](i)[/tex] from [tex](ii)[/tex]
we get,
[tex]8=3a+b[/tex] [tex]........(iv)[/tex]
Subtract equation [tex](ii)[/tex] from [tex](iii)[/tex] we get,
[tex]10=5a+b[/tex] [tex]........(v)[/tex]
Subtract equation [tex](iv)[/tex] from [tex](v)[/tex] we get,
[tex]2=2a[/tex] (This is second difference mentioned above)
[tex]a=1[/tex]
Putting [tex]a=1[/tex] in [tex](iv)[/tex]
⇒[tex]b=5[/tex]
Now putting values of [tex]a[/tex] and [tex]b[/tex] in equation [tex](i)[/tex]
[tex]8=1+5+c[/tex]
[tex]c=2[/tex]
Now, putting values of [tex]a[/tex] , [tex]b[/tex] and [tex]c[/tex] in,
Quadratic sequence [tex]=an^2+bn+c[/tex]
we get,
[tex]nth[/tex] term rule [tex]=n^2+5n+2[/tex]
Hence, we can say that the [tex]nth[/tex] term rule of the quadratic sequence will be [tex]n^2+5n+2[/tex].
To know more about quadratic sequence click here
https://brainly.com/question/22412845
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4f2 + 3h - g+f
A. 7fhg
B. 4f + 3hgf
C. Can’t be simplified
D. 5f2 + 3h - g
Answer:
can't be simplified or you can add you get the answer
The price of trail mix at a health food store is
$7.50 per pound. At that rate, what is the total
cost of three 8-ounce bags of trail mix?
Answer:
$3.75 every 8 oz bags.
Step-by-step explanation:
7.5 divided by 2 to get 3.75. 1 LB is equal to 16 oz so 8 is half of 16.
An electrician cuts 28 feet piece wire into two pieces one piece is 4 feet longer than the other how long are the pieces
!!!!5 step plan!!!!!
Answer:
12 and 16
Step-by-step explanation:
Turn it into algebra.
Make one of the pieces x. So x+4 is the piece that is 4 feet longer and x is the piece that it is 4 feet longer than.
So x+4+x=28, which is the total length, and if you simplify it, it makes 2x+4=28.
Then you just solve it, so do 28-4=24, and then divide that by 2, which gets 12.
Then you substitute 12 where x has been substituted for the pieces.
One piece is x feet, so that just stays 12, and another piece is x+4, so 12+4 which is 16.
To make sure it's correct, you can check it by doing 16-12=4 and add 12 and 16 together which gets the correct total of 28.
What is the slope and y-intercept of the equation 3x + 2y + 18 = 0
Answer:
Slope: -3/2
Y-Intercept: (0,-9)
Step-by-step explanation:
Please help with proportional relationships!!! (Photos)
(determine whether the quantities on each table represent a proportional relationship if yes, give the constant rate) pls explain!!
Answer:
yes, the question is proportional. if you multiply 9.50 by 2 you get 19 and so on and so forth. the constant rate is 9.50
Please help!! I will mark brainliest with full detailed answer!!
Answer:
Step-by-step explanation:
26. -14
27. -4.732050808
Answer:
26. (-14)
27. −4.732050808
Step-by-step explanation:
26. [tex](\sqrt{2}+4)(\sqrt{2}-4)[/tex]
Multiplication can be transformed into difference of squares using the rule:
(a − b) (a + b) = a² - b²
[tex](\sqrt{2} ^{2} ) - 4^{2}[/tex]
The square of √2 is 2.
[tex]2 - 4^{2}[/tex]
Calculate 4 to the power of 2 and get 16.
2 - 16
Subtract 16 from 2 to get −14.
-1427. [tex](\sqrt{3} +2)(\sqrt{3} -3)[/tex]
Apply the distributive property by multiplying each term of √3 + 2 by each term of √3 - 3.
[tex]\sqrt{3} ^{2}-3\sqrt{3} +2\sqrt{3} -6[/tex]
The square of √3 is 3.
[tex]3-3\sqrt{3} +2\sqrt{3} -6[/tex]
Combine -3√3 and 2√3 to get -√3.
[tex]3-\sqrt{3} -6[/tex]
Subtract 6 from 3 to get −3.
-3 - √3
-3 - √3 ≈ −4.732050808What expression is equivalent to 42+18
I think the answer is 20+40...
Figure ABCD is a trapezoid.
Find the value of x.
В,
2x + 1
17
X
3x + 8
A
D
X
= [?]
(BC + AD) / 2 = 17
(2x + 1 + 3x + 8) / 2 = 17
5x + 9 = 34
5x = 25
x = 5
о
3. Aspect Ratios (Tires)
If you have changed the tires on your car, the original diameter is 21 inches. to a new diameter of 25.2 inches,
how fast are you actually going if your speedometer is reading 53 mph?
a
44.2 mph
b. 63.6 mph
c. 60.8 mph
d. 53 mph
Put the following equation of a line into slope-intercept form, simplify all fractions 8x + 20y = -120
Hello there! :)
8x+20y=-120
We want to put this equation into slope-intercept form (y=mx+b)
First, let's move 8x to the right side:
20y=-120-8x
Now, we divide both sides by 20 to isolate y:
y=-8/20-6
Simplify the fraction:
y=-2/5-6
Hence, that's our equation. Hope it helps you! (:
If you have any queries, feel free to ask me! :)
~A smiley teen who adores helping others
[tex]MagicalNature[/tex]
A zebra can run at a constant speed of 0.60 miles per minute. How far can a zebra run in 30 minutes? Choose the equation that could be used to answer this question
Answer:
0.6x30=18
Step-by-step explanation:
18 miles would be how far it ran.
You didn't give us any answer choices for which equation, so I would say the equation I wrote could work.
Answer:
0.6 × 30 = 18
Step-by-step explanation:
You multiply the two values to get 18:
0.6 * 30 = 18
Hope that helps! :)
please answer this question i’m literlly failing and don’t know how to do this
Answer:
6 or 3 because my is the opposite of yx so I would think it'll be 6 or 3
help I will give brainiest is you answer with a explanation
Answer:
35°
Step-by-step explanation:
As we know vertically opposite angles are equal . So ,
x + 90= 125
x = 125-90 = 35°
Answer:
35
Step-by-step explanation:
125 + 90(APC) + DPA + EPB + x = 360
215 + DPA + EPB + x = 360
DPA = 180 - 125 = 55
EPB = DPA
EPB = 55
X = 90(EPC) - EPB
X = 90 - 55
X = 35
OR easy way
DB is a straight line so angels on it add up to 180
EPB = 180 - 125
EPB = 55
X = 90(EPC) - EPB
X = 90 - 55
X = 35
What is the area of this tile? in. in? 4 in. I in.
Answer:
1*4 = 4 in^2
Step-by-step explanation:
The area for this shape is calculated by multiplying width and length:
1*4 = 4 in^2
multiply (2x+3) (-x -2)
Answer:
[tex]-2x^{2} -7x-6[/tex]
Step-by-step explanation:
(2x + 3) (-x - 2)
distribute first term, to the second term:
2x(-x) + 2x(-2) + 3(-x) + 3(-2)
multiply:
[tex](-2x^{2})[/tex] + (-4x) + (-3x) + (-6)
[tex]-2x^{2} -4x-3x-6[/tex]
combine the like terms:
[tex]-2x^{2}[/tex] - 4x - 3x - 6
-7x
[tex]-2x^{2}[/tex] - 7x - 6
final answer :
[tex]-2x^{2}[/tex] - 7x - 6
hope this helped !!
mark me brainliest :D
To practice for a competition, Christian swam 0.51 kilometer in the pool each day for 4 weeks. How many meters did Christian swim in those 4 weeks?
Answer:
14.28
Step-by-step explanation:
Write an equation with the given information in slope- intercept form.
m=-1/2; y intercept (0,4)
Does the table below represent a function?
Answer:
Yes
Step-by-step explanation:
It is a function because the x value doesnt repeat itself. The x value is the input
Part A
In "Primary Lessons" from Silent Dancing: A Partial Remembrance of a Puerto Rican Childhood, what can the reader infer about how the narrator will ultimately feel about going to school?
She will misbehave there constantly to punish her mother for sending her.
She will become used to it, knowing everyone must go.
She will become an academic herself as she begins a lifelong quest for learning.
She will remain upset and fight her mother every single day.
Question 2
Part B
Which sentence in the text best supports the answer in Part A?
"It was my final argument, and it failed miserably because I was shouting my defiance in the language I claimed not to speak."
"How could she send me to school to learn Spanish when we would be returning to Paterson in just a few months?"
"I guess most children can intuit their loss of childhood’s freedom on that first day of school."
"The sight of my cousins in similar straits comforted me."
Answer:
a) she will become used to it, knowing everyone must go.
b) i guess most children can intuit their loss of childhood's freedom on that first day of school.
Explanation: i took the quiz
x²-x-(a+1)(a+2)
Find common multiple
Answer:
x2 - x - a2 - 3a - 2
Step-by-step explanation:
STEP 1
((x2) - x) - (a + 1) • (a + 2)
STEP 2
Final result :
x2 - x - a2 - 3a - 2
if f(x)=4x+3 and g(x)=x^2-3 what is f(g(4))
[tex]\text{Given that ,}\\\\f(x) = 4x+3\\\\g(x) = x^2 -3\\\\g(4) = 4^2 - 3 = 16-3=13\\\\f (g(4)) = f(13) = 4\times 13 + 3 = 55[/tex]
use the figure to find the value of PT.
PT = 5x + 7 and TQ = 9x-5
* THIS IS A WARM UP*
First level: Easy
What is −12 4/3 + −5 2/1? Write your answer as a mixed number in simplest terms.
Good luck middle schoolers or anyone
=》The answer is -61/3 = -20.333
Steps are in the attachment.
Note :-
=》The LCM is 3.
_______
Hope it helps ⚜ :))
2. A certain 80 cm spring will stretch (in cm) three-sixteenths the weight (in kg) attached to
it. How long will the spring be if a 15-kg weight is attached to it?
2. DB
The price of a shirt is $18.50, but you have a coupon that lowers
the price by 20%. What is the price of the shirt after using the
coupon?
Answer:
$14.80
Step-by-step explanation:
You just have to 0.8 * 18.50 becuase the new price is 80% of the old price. That would result in 14.80.
Which sequence is geometric?
Group of answer choices
-2, 1, 6, 13...
-1, 2, 7, 14
-4, 20, -100, 500...
-7, 7, 21, 35...
Hi there! :)
A geometric sequence is a sequence where we use multiplication or division to get to the next term.
We use multiplication in the third sequence (we multiply by -5)
So the answer is Option C
Hope it helps
~Just a gloomy teen who misses her best friend
#CarryOnLearning
[tex]SilentNature[/tex]
What’s the answer to 2/3 -1/2
the answer is 1/6 bbbbbbbbb
Step-by-step explanation:
bring both fractions to the same denominator (bottom number). then we can readily compare our add or subtract them.
what is the snaked common multiple of 2 and 3 (the smallest number that can be divided without remainder by both numbers)?
it is 6 (in case of doubt simply multiply both numbers and use the result as common denominator).
so, we need to bring both to fractions in the form .../6.
2/3 = 4/6
1/2 = 3/6
so,
4/6 - 3/6 = 1/6
and that is the answer to the original question.
Giving Brainliest
How does the standard of living in North Africa compare to the rest of the world?
A Life expectancy and the standard of living are about average
B. Life expectancy and the standard of living are among the best in the world
C. Life expectancy and the standard of living are slightly lower than average
D. Life expectancy and the standard of living are among the worst in the world
Answer:
B is the answer I'm pretty sure