A factory makes rectangular sheets of cardboard, each with an area of 2 1 2square feet. Each sheet of cardboard can be cut into smaller pieces of cardboard measuring 1 6square feet. How many smaller pieces of cardboard does each sheet of cardboard provide?

Answer:

(A) Yes, x = 2 is a zero of the polynomial.

The quotient is x² + 26x + 160 and the remainder is 0

Step-by-step explanation:

Given;

p(x) = x³ + 24x² + 108x - 320

Using remainder theorem to test if x = 2 is a zero of the given function

p(2) = (2)³ + 24(2)² + 108(2) - 320

       = 8 + 96 + 216 - 320

        = 0

Thus, x = 2 is zero of the function

(ii) to get the quotient and the remainder of the given function, divide the function by 'x - 2'

                     x² + 26x + 160

     x - 2    √ x³ + 24x² + 108x - 320

                 -  (x³ -  2x²)                      

                     0   + 26x² + 108x - 320

                          - (26x²  - 52x)                  

                               0      + 160x - 320

                                        -  (160x - 320)        

                                              0     +   0  

The quotient is x² + 26x + 160

The remainder is 0                      

Thus, the correct option is A.

Yes, x = 2 is a zero of the polynomial.

The quotient is x² + 26x + 160 and the remainder is 0            

Answer:

i-1

Step-by-step explanation:

2i 1−i = 2i(1+i)(1−i)(1+i)=2(i−1)1+i−i+1=2(i−1)2=i−1

Answer:

$128.40

Step-by-step explanation:

200 × 0.4 = 80

200 - 80 = 120

120 × 0.07 = 8.4

120 + 8.4 = 128.4

Answer:

$128.40

Step-by-step explanation:

1. Find the cost after the discount.

Multiply the original cost by the discount percentage. This is the amount that was taken off of the original price.

$200 x 40% = $80

Subtract the discount from the original price.

$200 - $80 = $120.

2. Calculate the tax.

Tax is 7% of the final cost.  Multiply the final cost by the tax rate. This determines how much tax was added.

$120 x 7% = $8.40

Add the tax amount to the discounted price.

$120 + $8.40 = $128.40

The final cost is $128.40.

Answer:

783.78

or

£784

Step-by-step explanation:

Answer:

a. Indep. = x, and dependent equals f(x)

b. x impacts f(x)

f(-4)= -11

Step-by-step explanation:

hope this helped

Answer: Choice C.

How many 1/4-meter long pieces of ribbon are needed to have a total of 3 1/2 meters of ribbon.

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Explanation:

Let's consider a similar problem without the fractions.

Let's say you want to know how many 2 meter lengths of ribbon you can cut from an overall length of 24 meters. That would be 24 ÷ 2 = 12 pieces total.

So we divide the two values (large ÷ small)

The same idea applies to this problem as well. The larger amount (3 & 1/2 meters) is what we cut up, and each slice is 1/4 of a meter. To find the number of pieces, we would compute 3 1/2÷1/4

Note: it might help to convert the mixed number 3 & 1/2 to the improper fraction 7/2

Answer:

znvipahgvahgv

Step-by-step explanation:

Answer:

43

-161

Step-by-step explanation:

Answer:

the middle one because HL is hypotenuse-leg and the middle one is the one that has a congruent hypotenuse and a congruent leg

(HL theorem only works with a right triangle)

Step-by-step explanation:

The pair of triangles that can be proven congruent by the HL theorem is the triangles in the middle.

According to the HL Theorem:

A triangle would contain:

Therefore, we can see that the pair of triangles in the middle of the diagram are congruent through the HL theorem as they satisfy the conditions.

Read more about congruence here:

https://brainly.com/question/2102943

#SPJ9

Answer:

i dont remember how to answer this so heres some info from the graph.

the y-intercept of the first equation is 8.

the y-intercept of the second equation is 18.

the equations cross at (10,4)

Answer:

y = 4

Step-by-step explanation:

Answer:

x=-9

Step-by-step explanation:

x+5^2=16

x+25=16

x=-9

Answer :

x + 5² = 16

x + 25 = 16

x = 16-25

x = -9 is the answwr

Hope it helped

Answer:

Step-by-step explanation:

To get the value of z, we need to reduce the system of equation into two and 2 unknowns;

Add 1 and 3:

y - 12y + z + 8z = 2+12

-11y + 9z = 14 ....... 4

Also Multiply equation 1 by 3 and subtract from 2

Eqn 1 * 2 will give 3x + 3y + 3z = 6

Subtract from eqn 2;

3y-(-2y)+3z-2z = 6-(-8)

5y+z = 14 ....5

Solve 4 and 5

-11y + 9z = 14 * 5

5y+z = 14 * 11

________________

-55y + 45z = 70

55y + 11z = 154

Add both

45z+11z = 70+154

56z = 224

z= 224/56

z = 4

Hence the value of z is 4

Answer:

Step-by-step explanation:

Here you go mate

step 1

(-25)/(-5)

step 2

(-25)/(-5)  divide the equation by 5

answer

=5

Answer: 5

Step-by-step explanation:

Multiplying or dividing a negative by a negative results in a positive.

[tex](-10)/(-2)=5[/tex]

Multiplying or dividing a negative by a positive results in a negative.

[tex](-10)/(2)=-5[/tex]

Multiplying or dividing a positive by a negative results in a negative.

[tex](10)/(-2)=-5[/tex]

Multiplying or dividing a positive by a positive results in a positive.

[tex](10)/(2)=5[/tex]

Thus, because -25 and -5 are both negatives, the answer must be positive.

Answer:

my favorite christmas song is white christmas

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

Answer:

(6, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

3x - 5y = 13

x + 4y = 10

Step 2: Rewrite Systems

x + 4y = 10

Step 3: Redefine Systems

3x - 5y = 13

x = 10 - 4y

Step 4: Solve for y

Substitution

Step 5: Solve for x

Answer:

(6,1)    x=6 and y=1        

Step-by-step explanation:

EASY we can use Elimination or Substitution process

We are going to solve by

Elimination process

Subtract each other

(3x-5y=13)

(x+4y=10)

3x-5y=13;x+4y=10

To solve this multiply (x-4y=10) by 3 to get rid of the x

3x-12y=30

now u can subtract both

3x-12y=30 minus

3x-5y=13

17y=17

Divide both sides by 17

y=1

Now we have y lets plug it in to find x

x+4(1)=10

x+4=10

subtract 4 from both sides

x=6

x=6 and y=1

Answer:

[tex]m=\frac{8}{5}[/tex]

Step-by-step explanation:

Answer:  The slope is  -8/5

Step-by-step explanation:

Using the located points  (-1,4)     and  (4,-4)  we will find the difference in the y coordinates of the points and divide it by the difference in the  x coordinates of the same points.  

Difference in y:  4 - (-4)  =  8

Differecence in x  -1 - 4 = -5

Slope:    8/-5

Answer:  3 necklaces and bracelet sets can be made from the  28 1/3 inches of wire.

Step-by-step explanation:

step 1

LET  I set of necklace and bracelet be represented as ( A bracelet and a necklace)

 if Tominka uses 6 1/9 inches of wire to make a necklace and 3 1/3 of wire to make a bracelet  for a set

Then Total Length of wire that can be used for a set = 6 1/9 inches+ 3 1/3 inches = 9 (1+ 3)/9

= 9 4/9 inches.

Step 2

IF  a set (One necklace and bracelet) can use = 9 4/9 inches

and Total wire used = 28 1/3inches

Then Number of  necklaces and bracelet sets that can be made  from the 28 1/3 inches wire = 28 1/3inches /9 4/9 inches

=85/3 / 85/ 9  = 85/3  x 9/ 85  = ( 85 cancels 85 )

9/3 = 3

 3 necklaces and bracelet sets can be made from the  28 1/3 inches of wire.

Answer:

88 years old

Step-by-step explanation:

A century is 100 years.

100 - 12 = 88

Answer:

Both trains would meet in 6 hours time.

Step-by-step explanation:

Train A = 50 miles per hour

Train B = 60 miles per hour

Train B leaves 1 hour later than Train A: This means Train A started the journey first.

When will the 2 trains meet?

Both trains would meet when they both cover equal distance.

Distance = Speed * Time

First Hour

Train A = 50 miles

Train B = 0 miles

Second Hour

Train A = 100 miles

Train B = 60 miles

Third Hour

Train A = 150 miles

Train B = 120 miles

Fourth Hour

Train A = 200 miles

Train B = 180 miles

Fifth Hour

Train A = 250 miles

Train B = 240 miles

Sixth Hour

Train A = 300 miles

Train B = 300 miles

Both trains would meet in 6 hours time.

Answer:

6 ft

Step-by-step explanation:

Let the width = w

Then the length = 4w - 3

perimeter = 2(length + width)

perimeter = 2(4w - 3 + w)

perimeter = 2(5w - 3)

perimeter = 10w - 6 = 54

10w - 6 = 54

10w = 60

w = 6

Answer: The width is 6 ft

Answer:

Reflection, then rotation

Step-by-step explanation:

The first triangle is flipped to the second position and then rotated to the thrid position.

Answer: 7 pounds

Step-by-step explanation: 1 3/4×4=7

Answer:

D

Step-by-step explanation:

You have to use pythagorean theorem to solve this.

Answer:

D

Step-by-step explanation:

use pytherogream theory

sides, 5 and 12

pytherogream triple 5, 12, 13

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

44 non-athletes

Step-by-step explanation:

3 to 4

Athlete number, 3, was multiplied by 11.

Multiply non-athlete number, 4, by 11.

You get 44.

Answer:

800 > x + 375

x < 425

Step-by-step explanation:

800 > x + 375

425 > x

Answer:

I think it's associative property of multiplication.

Answer: a

it’s multiplication

the answer is to this is c