Given g(x) = x4 + 2x3 - 7x2 - 8x + 12. When g(x) is divided by x - 1, which conclusion about g(x) is true?
1.9(1) = 0
2.9(-1) = 0
3.x + 1 is a factor of g(x).
4. No conclusion can be made regarding g(x).
Answers
Answer:
g(1) = 0
There is a remainder of 10 so you can automatically cross out 3 and 4.
When [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] is divided by x - 1, the only true conclusion is g(1) = 0
The given equation is:
[tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]
x- 1 is a factor of [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] only if g(1) = 0
Let us find g(1) by substituting x = 1 into [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]
[tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]
[tex]g(1) = 1^4+2(1^3)-7(1^2)-8(1)+12\\\\g(1) = 1 + 2 - 7 - 8 + 12\\\\g(1) = -12 + 12\\\\g(1) = 0[/tex]
Therefore, when [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] is divided by x - 1, the only true conclusion is g(1) = 0
Learn more here: https://brainly.com/question/24437791
Related Questions
Which equation best represents the constant rate of change shown in the pattern between the
figure number, f, and the number of squares, s?
Answers
Answer:
. s = 3f the answer is G
Massimo has $57 in his savings account. Every time he rides the bus he spends $3. Write an equation that Massimo
can use to see how many times he can ride the bus.
Answers
Step-by-step explanation:
I think is 19 because it say that he spends
solve for w and simplify the answer
Answers
Answer: w=20/3
Step-by-step explanation: start by multiplying -3/2 by 2 and multiply -10 by 2 as well. you would get -3w = -20. divide both sides by -3 and you’ll get 20/3.
how to write this numbers in word 89.04
Answers
Answer:
eighty-nine point zero four
Step-by-step explanation:
Answer:
u mean 89.04 = eighty-nine point zero four?
Step-by-step explanation:
which number is irrational?
Answers
Answer: pie, the last one
(3,-7); m=4/3 write in standard form
Answers
Answer:
In standard form it will be 4x-3y=33
Step-by-step explanation:
Which storm is likely to cause quick destruction along a narrow path?
hurricane
thunderstorm
tornado
Answers
Answer:
tornado bc they are narrow and can cause great destruction :) hope I helped !
A tornado is the storm that is likely to cause quick destruction along a narrow path.
What is storm?A storm is any disturbed state of the natural environment or the atmosphere of an astronomical body.
Tornadoes are characterized by their rapidly rotating column of air that extends from the base of a thunderstorm to the ground.
They can cause widespread damage and destruction within a very short period, along a narrow path that can be just a few meters wide.
While hurricanes can produce powerful winds and storm surge that can cause significant damage and destruction, their effects are spread over a larger area, including a broad swath of coastal areas.
Thunderstorms can also produce damaging winds, hail, and flash flooding, but they usually affect smaller areas compared to hurricanes or tornadoes.
Hence, tornado is the storm that is likely to cause quick destruction along a narrow path.
To learn more on Storms click:
https://brainly.com/question/11163773
#SPJ2
A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 18 minutes
Answers
Complete question is;
A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 18 minutes.
a. What equation can you use to find the distance of the flowerbed from the hive?
b. How far is the flowerbed from the hive?
Answer:
A) (d/9) + 900 + (d/6) = 1080
B) d = 648 ft
Step-by-step explanation:
A) We are told that A bee flies at 9 feet per second directly to a flower bed from its hive.
Time taken is given as;
t = distance/speed
If distance is d from the hive to the flower bird.
Then, t1 = d/9
The bee stays at the flowerbed for 15 minutes. Thus, time spent at the flowerbird in seconds is; t2 = 15 × 60 = 900 seconds.
We are told that the bee flew directly back to the hive at 6 feet per second.
Thus,time is;
t3 = d/6
Since total time spent away from hive is 18 minutes, then converting to seconds, we have; t = 18 × 60 = 1080 s
Thus;
(d/9) + 900 + (d/6) = 1080
B) Since we have derived;
(d/9) + 900 + (d/6) = 1080
Then we can find d.
Multiply through by 18 to get;
2d + (900 × 18) + 3d = 1080 × 18
2d + 16200 + 3d = 19440
5d = 19440 - 16200
5d = 3240
d = 3240/5
d = 648 ft
What are the two methods of finding unit rate
Answers
Answer:
The Packing Cube method and something else I cant remember it.
Step-by-step explanation:
??????!?????????????????????!?!
Answers
Step-by-step explanation:
if the area of a box is 1 cm^2
then area of triangle is6 cm square
Can someone help me with the questions in the picture?
Answers
Answer:
25) B obtuse scalene
26) A acute isosceles
27) A acute isosceles
28) D obtuse isosceles
29) D right scalene
30) C obtuse isosceles
31) C obtuse scalene
32) C acute scalene
Step-by-step explanation:
A scalene triangle has sides of no equal measures (no side has the same length as another). An isosceles triangle has two sides of the same length. An equilateral triangle has three sides that all have the same lengths.
An acute triangle has all three angles that each measure less than 90°. An obtuse triangle has one angle that measures greater than 90°. A right angle has one angle that measures exactly 90°.
Hope this helps :)
10x+36-38x-47 I don't understand this question i am so confused please explain i would be really thankful.
Answers
-28x-11
Step-by-step explanation:
10x-38x=-28x
+36-47=-11
so the answer is -28x-11
Riding an elevator down 3 floors
Answers
Answer:
And, then what? rp?
Step-by-step explanation:
Answer: Elevators wer invented in 1880 by Elisha Otis's . They could carry cargo and people to higher floors. Now we see them everywhere, in places such as hospital, schools, malls, and even some houses.
Solve the equation. - 13 = 5+X
Answers
-13=5+x, rearrange the terms.
-x=5+13, add.
-x=18, invert the sign.
x=-18
Write the equation in Standard Form. y = -2x + 5*
0 2x + y = 5
O 2x + y = -5
O 2x - y = 5
O-2x + y = 5
Answers
Answer:
2x + y = 5Step-by-step explanation:
Standard form is:
ax + by = cGiven
y = -2x + 5Converting to standard form
y = -2x + 5 2x + y = 2x - 2x + 52x + y = 5Correct option is the first one
4x = 7 [x3] help meh
Answers
Answer:
x = 0
Step-by-step explanation:
4x = 7(3x)
4x = 21x
-4x -4x
17x = 0
Which is the equation of a line that passes through the points (4, 6) and (-6, 1)?
Answers
Answer:
y=2x-8
Step-by-step explanation:
gradient = 1-6 / -6-4
= 2
y=2x+c
substitute one of the points
4=2*6+c
c=-8
y=2x-8
Writing an Equation Given Two Point
A line has an x-intercept of 3 and a y-intercept of -6.
The slope-intercept form of its equation is
Answers
3
⋅
4
=
12
to say an equation for this line is
4
x
+
3
y
=
12
(since, when
y
=
0
, it follows that
x
=
3
and when
x
=
0
it follows that
y
=
4
).
You could also find the slope of the line containing the points
(
x
,
y
)
=
(
3
,
0
)
and
(
x
,
y
)
=
(
0
,
4
)
as
Δ
y
Δ
x
=
4
−
0
0
−
3
=
−
4
3
so that the equation has the form
y
=
−
4
3
x
+
b
, where
b
is the
y
-intercept so the equation becomes
y
=
−
4
3
x
+
4
. This is equivalent to the last answer because you can multiply everything by 3 and rearrange to get
4
x
+
3
y
=
12.
help me solve:
-2*(-10)/(-5)*2-28+(-9)
Answers
Answer:
-45
Step-by-step explanation:
Answer:-45
Step-by-step explanation:
-8-28+(-9)
-8-28-9
calculate the sum of the NEGATIVE NUMBERS
3/8 = 15/x x=?
x/5 = 12/15 x=?
21/28 = 30/x x=?
75/45 = x/21 x=?
5/6 = 8/x x=?
Answers
Answer:
a) x=40
b) x=3
c) x=40
d) x=35
e) x=9.6
Step-by-step explanation:
1. Cross multiply.
2. Divide.
Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time
he swims. This week, he spent more than 6 hours training for the race. Which graph represents his possible training
times this week?
Answers
Answer:
the first graph is the answer
Step-by-step explanation:
A!!!
Answer:
A
Step-by-step explanation:
(HELP! I HAVE NO TIME) At 2pm, a store had sold 15 packs of toilet paper. By 5pm, the store had sold 57 packs of toilet paper. What is the average rate of change?
Answers
[tex]\mathrm {Hey, there!}[/tex]
Let's solve your problem:
The answer would be 280%.
We know the following information:
2pm - 15 toilet paper rolls
5pm - 57 toilet paper rolls
We have to find the percent rate of change.
Here is how we will do this problem:
First, Set up a ratio:
Change in the quantity [15 - 57]
-------------------------------------
Original quantity [15]
57 - 15 = 42
Next, we will divide. the ratio.
Given quantity - 42
Number of packs sold at 2pm - 15
Fraction - 42/15
Convert the fraction to a decimal.
Fraction - 42/15
Decimal - 2.8
Make the decimal to a percent.
Decimal - 2.8
Percent - 28%
Add a zero to the 28.
Our answer is 280%
Answer:
14 packs per hourStep-by-step explanation:
2pm ⇒ sold 15 packs 5pm ⇒ sold 57 packsAverage rate of change = change in sale/ change in time
(57 - 15) / (5 - 2) = 42/3 = 14 packs per hourPlease Help Me I will give you 100 Points
Answers
Answer:
twoendndbdsjwu
Step-by-step explanation:
Answer:
a. x represents the 1$ rides and y represents the 2$ rides.
b. they represent the rides that she has taken.
c. (4, 11) or x = 4 and y = 11
Step-by-step explanation:
If two gallons of gas cost $5.40, how many gallons can be purchased for $13.50?
Answers
Answer:
5 gallons because 13.5 divided by 5.4 is 2. 5 so times 2 so 5
Answer:
5 gallons.
Step-by-step explanation:
two gallons=$5.40
? gallons=$13.50
you cross multiply
2 × $13.50÷$5.40
27÷5.40=5 gallons
???? If you know it, put it down below :)) thanks!
Answers
Answer:
66
Step-by-step explanation:
Paul drank 18.2 ounces of water per day during soccer practice for a total of 54.6 ounces of water. Ryan drank 20.4 ounces of water each day after football practice for a total of 81.6 ounces of water. How many more days of practice did Ryan have than Paul?
A.
They both had the same number of days.
B.
1 day
C.
2 days
D.
3 days
Answers
Answer:
B
Step-by-step explanation:
Paul: 54.6/18.2= 3 days
Ryan: 81.6/20.4= 4 days
Answer:
B. 1 day
Step-by-step explanation:
First, we need to find how many days each person practiced for:
Paul- 54.6 ÷ 18.2 = 3
Ryan- 81.6 ÷ 20.4 = 4
4 - 3 = 1, so B is the answer.
I hope this helped, please mark Brainliest, thank you!
Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answers
Answer:
That looks like interior angle to me
x = 47 (since interior angles are congruent)
Step-by-step explanation:
I am really sleepy... :/
What is the missing angle? *
PLS I NEED HELP DUE IN 10 MINS
Answers
Answer:
80
Step-by-step explanation:
a triangle is 180 degrees in all 60+40 is 100 so by that you can tell its 80
What is the system of equations represented by the table of values for continuous
linear functions, f(x) and g(x), shown below?
Answers
Answer:
A
Step-by-step explanation:
Answer: A
Step-by-step explanation:
A proportional relationship exists between x and y. When x=8 the value of y is 14.
(a) Write an equation for y in terms of x.
Answers
Answer:
Equation of y in terms of x is: [tex]y = \frac{7}{4}x[/tex]
Step-by-step explanation:
Proportion means that the change in one quantity causes change in other quantity.
Given that A proportional relationship exists between x and y.
It can be expressed mathematically as:
y ∝ x
When the proportionality symbol is removed, constant of proportionality is introduced which is usually denoted as k
[tex]y = kx[/tex]
Given that y=14 when x=8
Putting in equation
[tex]14 = k * 8\\k =\frac{14}{8}\\k = \frac{7}{4}[/tex]
Putting the value of k in equation
[tex]y = \frac{7}{4}x[/tex]
Hence,
Equation of y in terms of x is: [tex]y = \frac{7}{4}x[/tex]