As 2x³ - 3x² + x is completely divisible by x - 1 it is a factor of the polynomial.
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given a polynomial 2x³ - 3x² + x which is being divided by x - 1.
Now, If 2x³ - 3x² + x is divisible by x - 1 then x = 1 is a root of the polynomial
2x³ - 3x² + x.
Therefore,
2(1)³ - 3(1)² + 1 = 0
2 - 3 + 1 = 0.
3 - 3 = 0.
0 = 0.
So, The binomial x - 1 is a factor of the polynomial.
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Jack is trying to figure out a rule for this table. He comes to the conclusion that the rule is f(x)= 3%. Why is Jack's rule incorrect?
Answer:
B) [tex]3^{4} \neq 243[/tex]
Step-by-step explanation:
Construct one circle with center A passing through point B and another circle with center A passing through C. Circles with common centers are called concentric circles. We’ll refer to the circle that passes through B as AB and the one that passes through C as AC. Besides being concentric, what is the relationship between circles AB and AC? someone please help me
Answer:
The two circles centered at point A are concentric and similar
Step-by-step explanation:
plato
Triangle ABC has vertices at A(-2.3), B(-3, -6), and C(2, -
1). Is triangle ABC a right triangle? If so, which angle is the
right angle?
O No, the triangle has no right angles.
Yes, the right angle is angle A.
O Yes, the right angle is angle B.
O Yes, the right angle is angle C.
Answer: The right angle is at angle C
Step-by-step explanation:
Yes, the angle is a right angle at C (Edge option D)
Can someone help me find the length of b of the unknown side in this triangle? Thanks! :)
Answer: 4
Step-by-step explanation:
Using pythagoras theorem =>
b=[tex]\sqrt{c^2-a^2[/tex]
b=[tex]\sqrt{5^2-3^2}[/tex]
b=[tex]\sqrt{25-9}[/tex]
b=[tex]\sqrt{16}[/tex]
b=4
Answer:
4
Step-by-step explanation:
Use the Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
The measure of the hypotenuse is 5. The measure of the given leg is 3.
[tex]3^2+b^2=5^2\\\rightarrow 3^2 = 9; 5^2=25\\9+b^2=25\\9-9+b^2=25-9 \leftarrow \text {Subtraction Property of Equality} \\b^2=16\\\sqrt{b^2}=\sqrt{16} \leftarrow \text {Square Root Property of Equality}\\\boxed {b=4}[/tex]
The unknown side of the triangle should be four units.
Please calculate the volume of the triangular prism (MIDDLE SCHOOL MATH)
Answer:
52.374 cm*3
Step-by-step explanation:
the upper triangle is equal to the bottom triangle
Btw fyi the formula of calculating the value of a prism is:
area of the base × height
Rudolf has a pool that has a diameter of about 24.26 mm. What is the area of the pool in terms of pi
Answer:
= 147.1369 pi
Step-by-step explanation:
The diameter is 24.26
The radius is d/2 = 24.26/2 =12.13
The area of a circle is
A = pi r^2
= pi (12.13)^2
= 147.1369 pi
Answer:
147.1369
Step-by-step explanation:
i think im wrong not sure. also the answer is not rounded.
Scott has jaunt baked 24 cookies he want to put them in a paper bags in groups of 5 how many groups of 5 can he make how many cookies will he have remaining
Answer:
He can make 4 groups as for the 5th group he left with 4 cookies.
So your answer would be 4 groups and 4 cookies.
hope it helps!
Simplify the expression. Write your answer as a power.
(-6.1) 1
(-6.1).(-6.1)2
The simplified expression is
.
Answer:
(-6.1)^2
Step-by-step explanation:
Look at the attachment
Tom and Sam can finish a plowing job in two hours. Tom working alone can do the job in 7 hours. How long would it take Sam to finish the same job alone?
Answer:
Step-by-step explanation:
1X+17=121X+17=12
1X=12−171X=12−17
1X=72×7−27×21X=72×7−27×2
1X=7−2141X=7−214
1X=5141X=514
Taking inverse on both sides
X=145=2.8 hoursX=145=2.8 hours
The time taken by Sam is 2.8 hours.2.8 hours.
If the sum of 4040 consecutive integer numbers is 2020, find out the absolute difference between the first number and the last number.
Let [tex]x[/tex] be the smallest of the consecutive integers summing to 2020. Then the largest integer in the sum is [tex]x+4039,[/tex] so our answer is [tex]\boxed{4039}.[/tex]
For completeness, though, let's solve for the value of [tex]x[/tex] that satisfies the conditions of the problem. Recall that the sum of an arithmetic series with first term [tex]a_1,[/tex] last term [tex]a_n,[/tex] and [tex]n[/tex] terms, is [tex]\frac{n(a_1+a_n)}{2}.[/tex] Plugging in our known values gives us the equation [tex]\frac{4040(2x+4039)}{2}=2020,[/tex] which simplifies to [tex]2x+4039=1.[/tex] Thus, [tex]x=-2019,[/tex] so the 4040 consecutive integers are [tex]-2019,-2018,\dots,-1,0,1,\dots,2018,2019,2020.[/tex] Notice how everything except the [tex]2020[/tex] cancels out!
Find the volume to the nearest hunkeredth
Step-by-step explanation:
rjrurjrrmrjrjrnrbrbdu
Solve dy/dx = (1-x)(1-y)
Answer:
[tex]y=1-e^{c_{2}}}*e^{-x} *e^{x^2}[/tex]
Step-by-step explanation:
We begin with the differential equation [tex]\frac{dy}{dx} =(1-x)(1-y)[/tex]
Firstly, we need to get the [tex]y[/tex] and [tex]dy[/tex] as well as the [tex]x[/tex] and [tex]dx[/tex] on the same sides as each other
To do this, we can multiply each side by [tex]dx[/tex] and divide each side by [tex](1-y)[/tex]
Doing this will give us the following differential
[tex]\frac{1}{1-y} dy=(1-x)dx[/tex]
Now, we can integrate each side
[tex]\int\limits\frac{1}{1-y} \, dy =\int (1-x) \, dx\\\\-ln(1-y)=x-x^2+c_{1}[/tex]
Now, we need to solve for y
[tex]-ln(1-y)=x-x^2+c_{1}\\\\ln(1-y)=x^2-x+c_{2} \\\\1-y=e^{x^2-x+c_{2}} \\\\y=1-e^{x^2-x+c_{2}}\\\\y=1-e^{c_{2}}}*e^{-x} *e^{x^2}[/tex]
what is
A, 80cm : 2.5
B,4kg : 1600g
C,5m : 500m
d, 800g : 2kg
f, 5days : 5weeks
h,40sec : 1min
j, 800ml : 1l
l, 10cm : 80cm
pls tell me the answers i will give 5stars
Answer:
......
Step-by-step explanation:
b)4kg:1600g
convert 4kg to grams
4000g:1600g
then divide
=5g:2g
then convert 5g into kg
=0.005kg:2g
f)5 days:5 weeks
multiply 5weeks by 7 u will get 35
5days :35dys then divide by 5
1:7days
=1 day:1 week
h)40 sec:1 min
40 sec:60 sec
then divide both of them by 2
2 sec:3 sec
then take 3 ÷60=0.05 min
=2 sec:0.05 min
Cassandra baked a cake measuring 13 in. x 9 in. x 2 in. She wants to add frosting to the cake. The only side that will not be frosted is the bottom of the cake.
What is the surface area that will be frosted with icing?
A.24 in
B.117 in
C.205 in
D.322 in
Answer: B. 117 in
Step-by-step explanation:Took the test Trust
Hope this helps -----
The surface area that will be frosted with icing is 205in²
What is the surface area that will be frosted with icing?
It will be equal to the sum between the top surface, which measures:
S = 13in*9in = 117 in²
And the four lateral sides, two of them measure:
s' = 2in*9in = 18in²
The other two measures:
s'' = 13in*2in = 26in²
Then the total surface area that must be frosted is:
SA = 117 in² + 2*( 18in²) + 2*(26in²) = 205 in²
So we conclude that the correct option is C.
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The ratio of the measures of two supplementary angles is 8:4. What is the measure of
the smaller angle?
Answer:
the smaller angle = 4x = 4*15 = 60 degrees
Step-by-step explanation:
what is the y-intercept of the graph of the equation y=4x(3x) A; (0,4) B: (0,3) C;(0,12) D:(0,8)
Answer:
To find y intercept x should be 0.
And in this.
Y=4x.3x
Y=4*0*3*0
Y=0 answer.
What value ofj makes this addition sentence true? (Hint: Use properties of addition)
64+ (98 +28) = (j +64) + 98
PLEASE HELP! Will KARK BRAINLIEST!
If 3/8 inches on a scale drawing is equivalent to one foot at full scale, what distance on the drawing will stand for 40 inches?
Answer:
A.) 1/8 Inches
Step-by-step explanation:
PLZ I need help with the first problem!
Answer:
5/32
Step-by-step explanation:
You would change 1/2 to 2/4 so you can subract 1/2 from 3/4 .You do 3/4-2/4 and you get 1/4.Then you would multiply the height and width so you multiply 1/4 and 1 1/4 and 1/2.
Find Volume of water.
V=lwh
V= 1/2 x 1/2 x 5/4
V=5/16.
Find Volume of The whole shape.
V=lwh
V= 1/2 x 5/4 x 3/4
V=15/32.
Subtract : 15/32-5/16=5/32
VOLUME OF MISSING PART = 5/32 meters cubed
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
[tex]-2\frac{1}{4}=\frac{-9}{4}\\\\-1\frac{1}{2}=\frac{-3}{2}\\\\[/tex]
-2 1/4 ÷ -1 1/2 =
[tex]\frac{-9}{4}*\frac{-2}{3}=\frac{3}{2}*\frac{1}{1}\\\\=\frac{3}{2}\\\\=1\frac{1}{2}[/tex]
Find the area of the trapezoid.
Answer:
49
Step-by-step explanation:
Area for a trapezoid is A=(a+b/2)h
A = ((4 + 10)/2)
A = (7)*h
A = 7*7
A = 49
Answer:
96
Step-by-step explanation:
3 x 4= 12
3 x 7=21
21
x 4
___
84
+12
___
96
Please help been stuck on this hw question ALLL DAYYYYYY
Answer:
1 5/9
Step-by-step explanation:
9 1/3 can be rewritten as 28/3. The question is asking for you to divide 28/3 by 6. 6 is 6/1, so the expression is 28/3 divided by 6/1. You then do the reciprocal of 6/1 and the expression is [tex]\frac{28}{3} * \frac{1}{6}[/tex]. This gets you 28/18, which is simplified to 14/9 or 1 5/9. Hope this helps!
Answer:
1.55
Step-by-step explanation:
Convert 1/3 into a fraction which is .33 repeating and then divide 9.33 by 6 and you get 1.55
What is the area of the triangular part of the flag below
Question 9
.....................................................................
Answer:
your answer is D (6.72)
Step-by-step explanation:
substitute x by 4
y = 2.76(4) - 4.4
y = 11.12 - 4.4
y = 6.72
Therefore the option D (6.72) is the correct answer
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Sandra bought 3 pounds of sweet potatoes for
$4.50. What is the cost per pound of the sweet
potatoes?
Answer:
$1.5
Step-by-step explanation:
Does anyone understand???
Answer:
The Answer is A.
Step-by-step explanation:
Please mark me brainliest.
Evaluate the dot product of (3,-1) and (1,5).
Answer here
Answer:
The dot product is -2
The required dot product of (3,-1) and (1,5) is -2.
Evaluate the dot product of (3,-1) and (1,5).
What is dot product?It is a principle to combine two vectors. It tells about how much two vectors approaching in the same direction.
Now converts the coordinates to vector form.
a = 3i -1j
b = 1i + 5j
Dot product of two vectors a and b,
a.b = 3x1 - 1x5
a.b = 3-5
a.b = 2
Thus, the required dot product of (3,-1) and (1,5) is -2.
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Please help ASAP!!!……………………
Answer:
your answer will be -42,-10,-8,-6
16 A rocket is launched from atop a 101-foot cliff with an initial velocity of 116 fts. Use the vertical motion formula
h(t)= -16t squared+ vt +s where v is the initial velocity and s is the starting height, to find how long it take the rocket
to hit the ground after it is launched. Round to the nearest hundredth of a second.
Answer:
6 seconds
Step-by-step explanation:
What is the volume of the following rectangular prism?
Volume=______units^3[
Answer:
10 unit³
Step-by-step explanation:
Volume of the rectangular cube:
Area × lenght
Given ;
Area = 25/4 unit²
Length = 8/5 unit
Volume = Area × length
= 25/4 × 8/5
= (5 × 2) = 10 unit³