Answer:
-53
Step-by-step explanation:
(x+2)
x^4 = -2^4 = 16
15x^3 = 15* (-2)^3 = -120
6x^2 = 6(-2^2) = 24
12x = 12*(-2) = -24
substitute into equation:
x^4 + 15x^3 + 6x^2 - 12x + 3 = 16+ (-120) + 24 - (-24) + 3 = -53
Given Polynomial is x^4 +15x^3 +6x^2 - 12x +3
Divisor = x+2
We know that
Remainder Theorem:
Let P(x) be a polynomial of the degree is greater than or equal to 1 and (x-a) is another linear polynomial,If P(x) is divided by (x-a) then remainder is P(a).
So, P(x) is divided by (x+2) then the remainder is P(-2).
P(-2) =
⇛(-2)^4+15(-2)^3+6(-2)^2-12(-6)+3
⇛ 16+15(-8)+6(4)+72+3
⇛16-120+24+72+3
⇛ 67-120
⇛ -53
P(-2) = -53
Answer:- The remainder is -53.
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The remainder obtained when x^4 + 3x^2 - 2x + 2 is divided by (x + b) is the square of the remainder obtained when x^2 – 3 is divided by (x + b...
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A shopping mall has $3,368 to spend on new tiles for the floor. If each tile costs $8, how
many tiles can the mall buy?
tiles
Answer:
421 tiles
Step-by-step explanation:
3368/8=421
Answer:
421 tiles
Step-by-step explanation:
Divide $3368 by $8 to determine the number of tiles the store can purchase:
$3368/($8 per tile) = 421 tiles
Can someone solve plzzz .
Answer:
you have to use multiplication maybe division and addition
Step-by-step explanation:
6) Bill is three times older than Kevin. He is also 28 years older than Kevin. How old are they?
Answer:
If bill is 28 years older than him, but also 3 times older than him, then you divide 28 by 3, which gives you 9.3. So that means kevin is around 9 1/4 years old and bill is around 37 and 1/4 years old, but you dont ahve to count the fraction if you dont want to, all that matters is the whole number.
Step-by-step explanation:
Bill is 42, while Kevin is 14 years old
Represent Bill's age with B, and Kevin's age with K.
So, we have the following equations
B = 3K and B = 28 + K
Substitute 3K for B in the second equation
[tex]3K = 28 + K[/tex]
Collect like terms
[tex]-K + 3K = 28[/tex]
[tex]2K = 28[/tex]
Divide both sides by 2
[tex]K = 14[/tex]
Substitute 14 for K in the first equation
[tex]B =3 \times 14[/tex]
[tex]B =42[/tex]
Hence, Bill is 42, while Kevin is 14 years old
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a polygon has a interior angle 172
find the number of sides of this polygon
Answer:
45 sides
Step-by-step explanation:
exterior angle + interior angle = 180° , that is
exterior angle + 172° = 180° ( subtract 172° from both sides )
exterior angle = 8°
The sum of the exterior angles of a polygon = 360°
To find the number of sides n , divide 360° by 8°
n = 360° ÷ 8° = 45
Answer:
45 sides
Step-by-step explanation:
If each of the interior angles is 172 degrees, then each of the exterior angles is 8 degrees. Since the sum of the exterior angles of any polygon is 360 degrees, there are 360 / 8 = 45 exterior angles and 45 sides
BATTERY LIFE The battery life of a certain cell phone starts at 8 hours. The battery life decreases at an annual rate of 30%.
a. Write a function that represents the battery life y after x years.
Answer:
[tex]y=8(0.7)^x[/tex]
Step-by-step explanation:
Next, the battery life decreases by 30% per year. You didn't state if this is linear or exponential, so I'll assume exponential because linear doesn't make much sense in this case..
For an exponential function, the battery life will be decreasing by 30% over the previous year, not over the original. Decreasing by 30% is multiplying by 70%, or just 0.7.
Exponential form:
[tex]y=a(b)^x[/tex]
where a is the original value and b is the percent change.
In your question:
[tex]y=8(0.7)^x[/tex]
The function that represents the battery life y after x years is y = 8(0.7)ˣ.
What does exponential function ?A quantity grows (or depreciates) exponentially if the increase (or decrease) in the amount is a multiple of the previous amount.
Now it is given that,
Battery life starts = 8 hours
Annual decrease rate = 30% = 0.30
So, battery life after an year = 100% - 30% = 70% = 0.7
Now if battery life y after x years
Annual decrease rate after x years = (0.7)ˣ
Thus battery life, y = 8(0.7)ˣ
Thus, the function that represents the battery life y after x years is y = 8(0.7)ˣ.
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#SPJ2
What is the interquartile range of the lengths of bananas?
Answer:
I couldn't decipher your question heres a graph for https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7984252/
that contains quartile ranges of stored bananas
Step-by-step explanation:
If this doesn't help please correct your question or tell me more so I can better help you
Please please solve this quickly. I've tried many things before, and I have no clue what the answer is.
Please help asap!! Thanks:) and please don’t answer just for points
Answer:
68 ft^2
Step-by-step explanation:
Find the area of the large rectangle as if the piece were there
A = l*w
A = 6 * 14
A =84
Subtract the area of the square that is missing
A = 4*4 = 16
84 - 16 =68
The area of the figure is 68 ft^2
Evaluate each expression for a=7,b=4,and c=-3.
3a-5b =________
7-3a+5a+15 =________
15a^2-17〖bc〗^2 =________
Pls help me
Answer:
Step-by-step explanation: 3a-5b= 3(7)-5(4)
=21-20
=1
7-3a+5a+15=7-3(7)+5(7)+15
=7-21+35+15
=-14+50
=36
15a^2-17(bc)^2=15(7)^2-17(4)(-3)^2
=105^2-204^2
=210-408
=-198
Could someone explain this to me?
Answer:
B.97
Step-by-step explanation:
Heyy so angle ADC and DAB are supp to one another, thus
83 + DAB = 180 --> subtracting
DAB =97. B
Hope that made sense :)
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
What is the scale factor from 125% to 100%?
Answer: 4:5
Step-by-step explanation:
Answer:
4:5
Step-by-step explanation:
find slope and y intercept
x + y = -2
Answer:
slope =1 and y intercept = -2
Step-by-step explanation:
Find Slope and Y intercept
Slope and Y intercept
x+y=-2<-- subtract x to get y alone
y=-x-2
Thus slope is 1/1 or 1
and y intercept is -2
Answer:
-1
Step-by-step explanation:
y=mx+c m=slope
c=y intercept
y=-x+2
so the slope is -1 and intercept of 2
Please help me. What is 5 3/4 - 2 11/12? I'm almost done for the year
Answer:
2.83
Step-by-step explanation:
Korey completely covered a square counter top using 103.5 ftof tile without any overlap.
Which measurement is closest to the side length of this counter top in feet?
10 ft
O 11 ft
O 27 ft
O 55 ft
Answer:
10 ft
Step-by-step explanation:
10² = 100
11² = 121
Answer: 10 ft
Which of the following sets here the closure property w.r.t. Addition
(A) {0}
(B) {0, -1)
(C) (0, 1)
)
(D) {1,V3.
Answer:
the answer is number 1 make my answer brainlist answer
before going on the last part of her journey. Hannah needed to rest and eat alot of the food. she ate 2 7/12kg of meat and another 4/12kg of fruits how much food did she eat in total?
Answer: 2 11/12 kg
Step-by-step explanation:
add the fractions and the the two(2)
. Suha has a full 600 ml bottle of wallpaper remover. She is going to mix some of the wallpaper remover with water. Here is the information on the label of the bottle. Wallpaper remover 600 ml 1 Mix of the wallpaper remover 4 with 4500 ml of water Suha is going to use 750 ml of water. How many millilitres of wallpaper remover should Suha use? You must show your working.
Answer:
25ml of wallpaper remover
Step-by-step explanation:
(y = amount of wallpaper remover)
4500×4 = 18000
18000:600
750 : y
18000y = 600×750
18000y = 450000
y = 450000÷18000
y = 25
What number is 73% of 14.6
Answer:
10.658
hope it helps
Answer:
10.658
Step-by-step explanation:
14.6 = 100%
? = 73%
73% ÷ 100% x 14.6
= 10.658
10.658 = 73%
What must be true about two objects of heat is flowing between them?
Answer:
that must mean that either the objects are giving off heat or the heat from one object is transferring to the air
Step-by-step explanation:
Answer:
The objects must be different temperatures.
Step-by-step explanation:
If anyone could plz help ill really appreciate it
Answer:
Help with what is it mental help? Or no cause I’ve dealt with that a lot
Step-by-step explanation:
Members of a soccer team raised $1428 to go to a tournament. They rented a bus for $955.50 and budgeted $31.50 per player for meals. Write and solve an equation which can be used to determine pp, the number of players the team can bring to the tournament.
Answer:
16 players can be brought to the tournament. The equation is written within my step-by-step explanation.
Step-by-step explanation:
Variable p = number of players
Set up an equation:
974.50 + 60.75p = 1946.50
Isolate variable p:
60.75p = 972
Divide:
p = 16
Check your work:
974.50 + 60.75(16) = 1946.50
974.50 + 972 = 1946.50
1946.50 = 1946.50
(6x + 4) - (3x - 2) simplify
Answer:
9x -2
Step-by-step explanation:
6x + 4 - 3x - 2
6x + 3x +4 - 2
9x -2
Answer:
3x + 4Step-by-step explanation:
(6x + 4) - (3x - 2) simplify
(6x + 4) - (3x - 2)=
6x + 4 - 3x + 2
3x + 6
Which point is a solution for the inequality 3x – 2y < 5
a (3, 2)
b (2, 3)
c (5, 2)
d (8, 5)
how do I solve this?
ben bolwed 138 and 208 in his first two games. What must he bowl in his third game to have an average of at least 170?
Answer:
at least 164
Step-by-step explanation:
Let the third score = x.
(138 + 208 + x)/3 ≥ 170
x + 346 ≥ 510
x ≥ 164
Answer: at least 164
Isolate the x
x + y/3 = 5
Answer:
x = 5 - y/3
Step-by-step explanation:
decrease £67 by 26% give your answer in pounds
Answer:
£ 49.58
Step-by-step explanation:
26% of 67 = 0.26 * 67 = £17.42
67 - 17.42 = £49.58
(x + y) (x -y) simplfied and showing work
Answer:
(x+y) + (x-y) = x + y + x - y =2x
(x+y)(x-y)=x^2 + yx - xy - y^2 = x^2 - y^2
(x+y) ( x-y)
x^2 - y^2
Step-by-step explanation:
2x =3 solve for x in this equation
Answer:
the answer is 3/2
Step-by-step explanation:
2x =3
x= 3/2 when you divide both sides by 2
Answer:
I might be wrong but 1 and 1/2
Step-by-step explanation:
I divided both sides by 2 to isolate the x
I got x = 3/2 which also equal 1 1/2
A train goes at a constant speed. It can travel 150 miles in 2 1/2 hours. How long would it travel in 2 hours?