Use the Remainder Theorem to find the remainder for (2x^3- 3x^2+x)/(x-1) and state whether or not the binomial is a factor of the

polynomial.

Step-by-step explanation:

rjrurjrrmrjrjrnrbrbdu

Answer:

6 seconds

Step-by-step explanation:

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!

Answer:

The Answer is A.

Step-by-step explanation:

Please mark me brainliest.

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).

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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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

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

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]

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.

Answer:

your answer will be -42,-10,-8,-6

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

Answer:

The two circles centered at point A are concentric and similar

Step-by-step explanation:

plato

Answer:

(-6.1)^2

Step-by-step explanation:

Look at the attachment

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

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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Answer:

B) [tex]3^{4} \neq 243[/tex]

Step-by-step explanation:

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.

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

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!

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.

Answer:

To find y intercept x should be 0.

And in this.

Y=4x.3x

Y=4*0*3*0

Y=0 answer.

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

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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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

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]

Answer:

$1.5

Step-by-step explanation:

Answer: The right angle is at angle C

Step-by-step explanation:

Yes, the angle is a right angle at C (Edge option D)

Answer:

A.) 1/8 Inches

Step-by-step explanation:

Answer:

the smaller angle = 4x = 4*15 = 60 degrees

Step-by-step explanation: