B. Perform the following operations on polynomials.

1. (2x + 3y) - (5x – 2y)
2. (9x²y + 5xy - 2) + (-12x²y – 3xy + 2)
3. (8x + 2y - 3z") + (42* - 5x + 3y)
4.(- 10x*yz? + 5xyz-2) -(10xyz + x - 10 xy)
5. (3x + y) - (2x + z)
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Answer:

(-4, -8)

Step-by-step explanation:

x - 5y = 36; 2x + y = -16

first, rearrange the first equation by adding 5y to both sides to isolate x

x = 5y + 36

then plug that in for x in the second equation and solve for y:

2(5y +36) + y = -16               distribute 2 to (5y + 36)

10y + 72 + y = -16                 combine like terms by adding 10y and y

11y + 72 = -16                        subtract 72 from both sides

11y = -88                                divide both sides by 11

y = -8

next, plug y in and solve for x

x - 5(-8) = 36

x + 40 = 36                          subtract 40 from both sides

x = -4

finally, check the solution by plugging x and y into both equations to see if they equal the expected value

(-4) - 5(-8) = -1 + 40 = 36 = 36 ✓

2(-4) + (-8) = -8 -8 = -16 = -16 ✓

Answer:

C. Both (1,11) and (-1,-5)

Step-by-step explanation:

Ok so,

let's try to plug in the first ordered pair into the equation. It should look like this:

11 = 8+3

11=11      CORRECT

now let's try to plug in the second ordered pair. it should look like this:

-5 = -8+3

-5 = -5      CORRECT

hope this helps. have a good day!!

Answer:

$5.44

Step-by-step explanation:

Answer:

We conclude that the interest rate required to  accumulate simple interest of $3,000 from a principal of $ 6,000.00  over 2 years is 25% per year.

Step-by-step explanation:

Given

Principle P = 6000

Time period t = 2 years

Interest I = 3000

To determine

Interest rate r = ?

Using the formula

I = Prt

r = I / Pt

substituting P = 6000 , t = 2, and  I = 3000

r = 3000 / ( 6000 × 2 )

r =  3000 / 12000

r = 0.25

convering the decimal into percentage: 0.25×100 = 25%

r = 25%

Therefore, we conclude that the interest rate required to  accumulate simple interest of $3,000 from a principal of $ 6,000.00  over 2 years is 25% per year.

Answer: B

Step-by-step explanation:

Answer:

Step-by-step explanation:

8/9

1/3= 3/9

8/9 / 3/9

8x 9

9   3

8x9=72

9x3=27

72/27=2.666666

Liam can make 2 action figures

Answer:

2^4·3²·5²  = 3600

Step-by-step explanation:

Answer:

Y = 0

Step-by-step explanation:

If x = 5 then 2x + y = 10 is 10 + y = 10 (2*5 = 10) and so 10 + 0 = 10. Y = 0

Answer:

[tex]54+\frac{5}{9}\times 54[/tex]

Step-by-step explanation:

We are given that

Loretta grew  watermelons in her garden last year=54

We have to find the expression which shows the number of watermelons Loretta grew this year.

To find the expression which shows the  number of watermelons Loretta grew this year by adding watermelons grew in her garden last year and number of watermelons increased .

According to question

5/9 of 54=[tex]\frac{5}{9}\times 54[/tex]

Therefore, the expression which shows the  number of watermelons Loretta grew this year

=[tex]54+\frac{5}{9}\times 54[/tex]

Answer: 7.81 feet

Step-by-step explanation:

This scenario forms a right-angled triangle where Ruby's height of 5 feet is the height of the triangle. Her 6 feet long shadow is the length of the triangle and the distance from the top of her head to the end of the shadow is the hypotenuse.

This can therefore be solved by the Pythagorean formula:

c² = a² + b²

where ;

c = hypotenuse

a = height

b = length

c² = 5² + 6²

c² = 25 + 36

c² = 61

c = √61

c = 7.81 feet

Answer:

9 cm

Step-by-step explanation:

The cube has 6 square faces.

Divide surface area by 6 to find area of 1 face

area = 486 ÷ 6 = 81 cm²

The area of a square = s² ( s is the side length ) , then

s² = 81 ( take the square root of both sides )

s = [tex]\sqrt{81}[/tex] = 9 cm

9514 1404 393

Answer:

  all real numbers

Step-by-step explanation:

Basically, you look for any values of x for which the function is not defined. There are none. So, the domain is "all real numbers."

__

The function is the product of a polynomial (x) and an exponential function (e^x). Each of those kinds of functions has a domain of "all real numbers". Multiplication is also defined for all real numbers, so there is nothing about this product that would restrict the domain.

Answer:

6.644

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A has the rate of change of 3

B has the rate of change of 5

C has the rate of change of 9

D has the rate of change of 20

Answer:

=

Step-by-step explanation:

Answer:

5/5=1

Step-by-step explanation:

Answer:

8^2*(2+6)/4= 64*8/4 = 512/4 =128

Answer:

128

Step-by-step explanation:

First add 2+6 because it's in parenthesis

Second, square 8 and get 64

third, multiply 64 times 8

last divide 64 times 8 (which is 512) by 4

USE PEMDAS OR GEMS TO DECIDE THE ORDER

GEMS:

G- groups (parenthesis)

E- exponents

M- multiplication and division (go in order of what comes first in equation)

S- subtraction and addition  (go in order of what comes first in equation)

Answer:

We should invest in 7.74% compounded daily as it yields a higher return.

The total investment after 10 years is $10,841.22.

Step-by-step explanation:

a.) at 7.74% compounded daily

[tex]final = principal(1 + \frac{i}{m} )^{m \times n} \\ = 5000(1 + \frac{0.0774}{365} )^{365 \times 10} \\ = 10 \: 841.2235[/tex]

I assumed there are 365 days in a year.

b.) at 7.8% compounded quarterly

[tex]final = principal(1 + \frac{i}{m}) ^{m \times n} \\ = 5000 (1 + \frac{.078}{4} )^{4 \times 10} \\ = 10 \: 762.2505[/tex]

Answer:

96.

Step-by-step explanation:

4*4*3 = 48

2 * 48

= 96

Answer: ‭533,079‬ people

Step-by-step explanation:

Population density shows the concentration of people in an area. It is calculated by dividing the number of people in the area by the size of the area.

Population density = Number of people in area / Size of area

5.49 = Population / 97,100

Population = 5.49 * 97,100

= ‭533,079‬ people

Answer:

(2, -2)

Step-by-step explanation:

its positive 2 on the x axis and negative 2 on the y axis

Answer:

163.485

Step-by-step explanation:

multiply 13.5 x 12.11

Answer:

5 inches

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

you first divide 12 by 3 then multiply it by 2 to get 8

Answer:

9 1/6

Step-by-step explanation:

=(35×3)+(10×6)6×3

=165/18

Simplifying 165/18, the answer is

=9 1/6

Answer:

30*3/5=90/5=$18

Step-by-step explanation:

Answer:

Step-by-step explanation:

x³y² = x * x * x * y * y

x²y³ = x * x     * y  *y * y

GCF = x * x * y * y = x²y²

x³y² - x²y³ = x²y² ( x - y)

Answer:

UV = 3.9

Step-by-step explanation:

Here, we want to find the value of UV

From the question, we can see a right-triangle

2 faces the angle given and is thus the opposite side

UV represents the adjacent side

mathematically, the trigonometric ratio that relates the opposite to the adjacent is the tangent

It is the ratio of the opposite to the adjacent

Tan 27 = 2/UV

UV = 2/tan 27

UV = 3.9

Answer:

1 / We have the area of a rectangle ABCD = 8 x 16 = 128 ft²

2 / Find the area of an isosceles Δ DEF:

The base of the isosceles ΔDEF => DF = DC- FC = 16 -12 = 4 ft

So the area of Δ DEF = 1/2 (DF x EH) = 1/2 (4 x 6) = 12 ft²

3 / Area of the irregular shape = area ABCB + Area DEF = 128 + 12 = 140 ft²

Step-by-step explanation:

Answer:

402.66666666667

Step-by-step explanation:

3 hours of soccer to 5 hours of piano

It would be written as 3:5

Answer:

3:5 or 3/5

Step-by-step explanation:

sorry i had the wrong answer...