Two negative consecutive integers have a sum of -45. What are the two integers?​

Use the polynomial remainder theorem. The remainder upon dividing a polynomial [tex]p(x)[/tex] by a linear factor [tex]x-c[/tex] is exactly [tex]p(c)[/tex].

In this case,

[tex]p(x) = 2x^{10} - 3ix^8 + (1+i)x^2 - (3+2i)x + 1[/tex]

and [tex]c=i[/tex]. Then the remainder is

[tex]p(i) = 2i^{10} - 3i^9 + (1+i)i^2 - (3+2i)i + 1[/tex]

Since [tex]i^2=-1[/tex] and [tex]i^4=1[/tex],

[tex]p(i) = -2 - 3i - 1 - i - 3i + 2 + 1 = \boxed{-7i}[/tex]

The amount of bricks that Jack would need to complete the wall is 180.

The first step is to determine the total amount of bricks he would need to build the wall. In order to determine this value, ratio analysis would be used.

Total bricks needed = (area of wall x number of blocks already used) / (area of wall already built)

Area of wall = 8 x 1.5 = 12

Area of wall already built = 5 x 1.5 = 7.5

Total bricks needed = (12 x 300) / 7.5 = 400 bricks

Number of bricks needed to complete the wall = 400 - 300 = 180 bricks

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Answer:

6

scale factor b to A = 4

Step-by-step explanation:

scale factor

We multiply the scale factor times the original figure length to get the new figure length

x * scale factor = 1.5

The scale factor is 1/4

x * 1/4 = 1.5

Multiply each side by 4 to get rid of the fraction

x * 1/4 *4 = 1.5 * 4

x = 6

The scale factor from figure B to figure A

1.5 * scale factor = 6

scale factor = 6/ 1.5

scale factor = 4

Answer:

180.

Step-by-step explanation:

9/5 = 1.8 and 10^5/10^3 = 10^2
so tis 1.8 x 10^2 which is 180

pls give branliest

Answer: 180

Step-by-step explanation:

(9 x 10^5) / (5 x 10^3)=

(9 x 10^(2+3)) / (5 x 10^3)=

(9 x 10^2 x 10^3) / (5 x 10^3)=

(9 x 10^2)/5=        ==> Divide each side by 10^3

900/5=180

Answer: R'=(-4, -3)

S'=(-4, -10)

T'=(-8, -10)

U'=(-8, -3)

Step-by-step explanation:

When rotated around the origin by 180 degrees, the rectangle will have all its coordinates' x and y values negated.

R=(4,3) ==> R'=(-4, -3)

S=(4,10) ==> S'=(-4, -10)

T=(8,10) ==> T'=(-8, -10)

U=(8,3) ==> U'=(-8, -3)

Answer:

Step-by-step explanation:

36

6*6

3*2*6

3*2*3*2

The range of the function on the graph containing all the real numbers greater than or equal to –3 . So the correct option is (d)

The collection of all a function's outputs constitutes its range.

The elements of the co-domain that are mapped are known as the images, while the elements of the domain are known as pre-images.

The set of all images of the domain's elements in this case serves as the function's range, as does the set of all of its outputs.

We have to find the function on the graph.

From the given graph, we can see from the graph that the function's maximum y value is -3 and that the graph keeps going up.

Therefore, the range includes all real values that are greater than or equal to -3.

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The answer to it would be 32.

Answer:

32

32 is the answer hope this helps

The equations that are equivalent to the given equation are m - 4 = -7m - 8, -7m - 8 = m - 4 and -8 - 7m = m - 4

The equation is given as

-2m - 5m - 8 = 3 + (-7) + m

Remove the bracket

So, we have

-2m - 5m - 8 = 3 - 7 + m

Evaluate the like terms

So, we have

-7m - 8 = - 4 + m

The above expression can be written as follows

m - 4 = -7m - 8

-7m - 8 = m - 4

-8 - 7m = m - 4

Hence, the equations that are equivalent to the given equation are m - 4 = -7m - 8, -7m - 8 = m - 4 and -8 - 7m = m - 4

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He wouldn’t be able to meet the specifications as the heigh is greater than the maximum height.

Maximum width of the wall hanging can be 3.75 feet and maximum height can be 6.5 feet.

After completing the work it was found that the width measures 3 3/5 feet and height was 3 3/4 tall.

If the height and width after completing the work is less than or equal to the maximum height and width then he will be able to meet the specifications .

Width

3 3/4

= (12+3)/4

= 15/4

= 3.75

Height

6 3/4

= (24+3)/4

= 27/4

= 6.75

He wouldn’t be able to meet the specifications as the heigh is greater than the maximum height .

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Answer:

A

Step-by-step explanation:

Each hash mark between "School" and "Declan's house" is one-eighth of a mile.  Starting at "School" count 5 hash marks to the left to get where Harper lives.

Answer:

40 students

Step-by-step explanation:

I think it is 40 students because 60 + 40= 100  then 100 x 40 = 4,000

then the SCHOOL has to pay a $30 cleaning fee so that will add up to $4,030! I hope this helps everybody!

40 students will be going on the trip

Each student will pay $60 for food and lodging

Each student will also pay $40 for the bus

Total amount of fee that will be paid by each student is

= 60 +40

= 100

The school will pay $30 cleaning fee for the bus, it's only the school that will be paying this fee, the students are not included. This will will be subtracted from the total cost which is $4,030 leaving us with $4,000

Therefore the number of students going on the trip can be calculated as follows

= 4,000/100

= 40

Hence 40 students will be going on the trip

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Answer:

since x=-14

9(-14)-7

-126-7=-133.

Answer:

D

Step-by-step explanation:

Irrational numbers are those which cannot be expressed by the ratio of two integers.

A is rational because it is a recurring decimal. Recurring decimals can be represented by the ratio of two integers (this one can be represented by the fraction -2752/333, which is a ratio of two integers).

B is a fraction with two integers, therefore it is rational. -5/9 is a ratio of two integers.

C can be represented by 1747/100.

D is an infinite decimal but isn't recurring like A, meaning it cannot be represented by the ratio of two integers, and is therefore it is irrational, unless you are shown further digits of the decimal which prove it to be recurring, which is not the case here.

The solution to the equation where the equation is given as -2(5z + 8) = 14 + 6z is z = -15/8

The equation is given as

-2(5z + 8) = 14 + 6z

Open the bracket

So, we have

-10z - 16 = 14 + 6z

Collect the like terms

So, we have

-10z - 6z = 14 + 16

Evaluate the like terms

So, we have

-16z = 30

Divide both sides of the equation by 16

So, we have

z = -15/8

Hence, the solution to the equation where the equation is given as -2(5z + 8) = 14 + 6z is z = -15/8

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Answer:

$132.74

Step-by-step explanation:

First: divide the sales price by 100

6.75 ÷ 100 = 0.0675

Second: multiply the answer from the first step by the original price

0.0675 x 124.35 = 8.393625

round to the hundredths place

8.393625

8.39

Third: add the original price with the answer from the second step

124.35 + 8.39 = 132.74

Answer:

Step-by-step explanation:

1) group any number with an X together and rewrite answer (if there is a negative in front of a number always carry it with it when rearranging.)

10x-10x-6-2

2) lets solve the numbers with Xs together

10x+10x= 20x

3) now lets solve whole numbers

-6-2=-8

4) bring down the 20x and the -8/ rewrite problem with your solved numbers

20x-8

5) we have to have X alone so in order to get rid of the 20 in front of the X you must divide 20 by 20x,

20x/20 ( it cancel's out and now you're left with X)

X=-8

6) but whatever you do to one side of the equal sign you have to do to the other side so now you must divide -8/20 which will leave you with

Answer: X=-0.4 or -2/5

Answer:

hope this will help you

Step-by-step explanation:

-7(5x-70)=-19-x

-35x+490=-19-x

490+19=-x+35x

509=34x

x=509/34

x=14.97

Answer:

x=5$

$y=-4

Step-by-step explanation:

the solution is easy no more you have to put the first numbers and put it in order

Answer: 8x^10

Step-by-step explanation:i guessed but when you multiply exponents you just add them so the exponent is 10 and then 2 cubed is 8

Answer:

[tex] \sf \: h = \frac{v}{lw} [/tex]

Step-by-step explanation:

Let's solve for h.

v=lwh

Step 1: Flip the equation.

hlw=v

Step 2: Divide both sides by lw.

hlw/lw = v/lw

h=v/lw

Answer:

No, the difference is -2.

Step-by-step explanation:

As the sequence progresses, the numbers get smaller(1, -1, -3, ...), and they get smaller by 2. Hence, the change in every number in the sequence as it progresses is -2.

Answer: [tex]x^{2} (5x-9)[/tex]

Step-by-step explanation:

[tex]3x^3 - x^2 + 2(x^3 - 4x^2)[/tex]

[tex]= 3x^3 - x^2 +2x^3 - 8x^2[/tex]

[tex]=5x^3 -9x^2[/tex]

[tex]=x^2 (5x-9)[/tex]

Answer:90

Step-by-step explanation:

you add 30 + 60 gives you 90 degrees

If the difference of a number and eight is tripled and the result is six more than the number, the number is 15

The difference of a number and eight is tripled, then the result is six more than the number.

Therefore, the number will be represented by a variable

let the number  = x

Hence,

3(x - 8) = x + 6

Therefore, let's open the bracket

3(x - 8) = x + 6

3x - 24 = x + 6

subtract x from both sides of the equation

3x - 24 = x + 6

3x - x - 24 = x - x + 6

2x  - 24 = 6

add 24 to both sides of the equation

2x  - 24 + 24 = 6 + 24

2x = 30

divide both sides by 2

x = 30 / 2

x = 15

Therefore, If the difference of a number and eight is tripled and the result is six more than the number, the number is 15

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Answer: 70

Step-by-step explanation:

Looking at line p, we can form an equation to find the missing angle that would make the line equal to 180* (all straight lines, unless stated otherwise, should be assumed they are a 180* angle). We can use the equation below:

[tex]180 = 80 + 30 + x\\x = 180 - (80 + 30)\\x= 70[/tex]

If lines n and m are parallel, the angles should be equal when looking at an intersecting line.

Hope this helps!

Answer: oh ofc! here is the answer it is 0.84210526315

but im not 100% sure it is the right answer

Step-by-step explanation: i really hope this helps have a good day/night (: <3