what property are these equations?

What Property Are These Equations?

Answers

Answer 1

Answer:

Line 1 to line 2: Distributive property.

Line 2 to line 3: Commutative property.


Related Questions

HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ

Answers

Answer:

33

plsss mark brainliestt

Step-by-step explanation:

4(7)+23+2/8-3

28+25/5

28+5=33

11/14 as a repeating decimal using bar notation

Answers

Step-by-step explanation:

______

0.7857142

note the first 7 is not included in the bar

Show algebraically that f and g are inverse functions:
g = sqrt(x+8)-4
f=x^2+8x+8

Answers

Answer:

See Below.

Step-by-step explanation:

By definition, if two functions, f and g, are inverses, then:

[tex]\displaystyle f(g(x)) = g(f(x)) = x[/tex]

We are given the two functions:

[tex]\displaystyle g(x) = \sqrt{x + 8} -4 \text{ and } f(x) = x^2 + 8x + 8[/tex]

Find f(g(x)) and g(f(x)):

[tex]\displaystyle \begin{aligned} f(g(x)) &= (\sqrt{x + 8} -4)^2 + 8(\sqrt{ x+ 8}-4) + 8 \\ \\ &= ((x+8) -8\sqrt{x + 8} +16) + 8\sqrt{x + 8} - 32 + 8 \\ \\ &= x + (-8\sqrt{x+8} + 8\sqrt{x + 8}) +(16 - 32 + 8 + 8) \\ \\ &= x \stackrel{\checkmark}{=} x\end{aligned}[/tex]

And:

[tex]\displaystyle \begin{aligned}g(f(x)) &= \sqrt{(x^2 + 8x + 8) + 8} - 4 \\ \\ &= \sqrt{x^2 + 8x+16 } - 4 \\ \\ &=\sqrt{(x+ 4)^2} - 4 \\ \\ &= (x +4) - 4 \\ \\ &= x \stackrel{\checkmark}{=} x \end{aligned}[/tex]

Hence, f and g are indeed inverses of each other.

What is the quotient of (x3 – 3x2 + 5x – 3) ÷ (x – 1)?
x2 – 2x – 3
x2 + 2x + 7
x2 – 3x + 8
x2 – 2x + 3

Answers

Answer:

the answer would be x^2 - 2x + 3

have a good day !! :D

Step-by-step explanation:

Answer:

D. x2 – 2x + 3

Step-by-step explanation:

Edge 2023

Whitewater Rentals has 39 canoes and 25 solo kayaks. The canoes rent for $45 for a six-hour trip. The solo kayaks rent for $49 for the same trip. One day 8 canoes and 4 kayaks were not rented. How much money was collected for rent-als that day?

Answers

$2,424 was collected for the day
31(45)=1395
21(49)=1029
$2,424

How much he makes in 1 hour.

Answers

Answer: $14.5

Step-by-step explanation:

What is percent 10 1/4 of 66?

Answers

I think it’s 15.15
mark me brainliest if possible

jennifer works at whataburger and earned 168.75 last week. If she worked 22.5 hours, how much does she earn per hour?

Answers

Answer:

7.5

Step-by-step explanation:

168.75 divided by 22.5 = 7.5

$7.50 dollars an hour.

7.50 x 22.5 = 168.75

7.5 168.75/22.5 =7.5 an hour

I need the answer to this plsss

Answers

Answer:

7 cm

Step-by-step explanation:

divide 56 by 8

area=length×width

width=area÷length

=56÷8=7 cm

The underlined digit is 3 wat the value of this number
285,003

Answers

Answer:

just 3

Step-by-step explanation:

it would be just 3 because there is no number behind it

Ten less than the product of 5 and the difference of a number and one is twice the number. What is the number?

Answers

Answer: 5

Step-by-step explanation:

5(n-1)-10=2n

5n-5-10=2n

5n-2n = 10+5

3n = 15

n = 15/3

n = 5

Evaluate expression
a) -19 + 3(-13 + 4*3)

b) | -7(2) |

c) 15 – 3 | - 4-2 |

Answers

Answer:

well i know the first one

-19+3(-13+4*3)

= -19+3(-13+12)

= -19+3(-1)

= -19-3

= -22

What are the solutions of the following system?
[x2 + y2 = 25
2x+y=-5
0 (0,-5) and (-5, 5)
O (0, -5) and (5, -15)
O (0,-5) and (-4, 3)
O (0, -5) and (4, -13)

Answers

Answer:

5h-fgtx56=y2-6

Step-by-step explanation:

sorry if wrong:(

Find an equation for the nth term of the arithmetic sequence.
-15, -6, 3, 12, ...

Answers

The Answer is:

an = -15 + 9(n - 1)

A forest contains 20 elks, of which 5 are captured, tagged, and then released. A certain time later 4 of the 20 elks are captured. What is the probability that 2 of these 4 have been tagged?

Answers

Answer:

Step-by-step explanation:

P{2 of 4 tagged}=(52)(152)(204)  

=0.2167

Help please help help please please please

Answers

Answer:

C. [tex] \frac{5}{4} [/tex]

D. [tex] \frac{6}{7} [/tex]

Step-by-step explanation:

C. [tex]2 - \frac{12}{16} [/tex]

[tex] = 2 - \frac{3}{4} [/tex]

[tex] = \frac{8 - 3}{4} [/tex]

[tex] = \frac{5}{4} [/tex]

D. [tex] \frac{20}{22} \times \frac{33}{35} [/tex]

[tex] = \frac{10}{11} \times \frac{33}{35} [/tex]

[tex] = 10 \times \frac{3}{35} [/tex]

[tex] = 2 \times \frac{3}{7} [/tex]

[tex] = \frac{6}{7} [/tex]

PLEASE HELP meee!! ┗( T﹏T )┛ A point is plotted on the number line at 234 . A second point is plotted at −413 .


What is the length of a line segment joining these points?


Enter your answer as a simplified mixed number in the box.

Answers

Answer:

7 1/12

Step-by-step explanation:

i just know

Answer:

its -4 1/3

Step-by-step explanation:

I’ll mark you as brainliest!

Answers

The first one is 10k²-7k-6
The second answer is 8k²-26k+18

Write a compound inequality for the graph shown below.
Use x for your variable.

Answers

Step-by-step explanation:

what i understand is x is a axis

Please helpppppp????

Answers

Answer:

hii

Step-by-step explanation:

which question do you want

x – Зу +8x47+ 15 – 4у

Answers

Answer:

X-7y+391

Step-by-step explanation:

First multiply

8x47=376

Now group those that are the same together

X-3y -4y+376 +15

X-7y+391

Answer:

x - 7y + 391

Step-by-step explanation:

[tex]x - 3y + 8 \times 47 + 15 - 4y[/tex]

[tex]x - 3y + 376 + 15 - 4y[/tex]

[tex] - 3y - 4y = (- 3 - 4)y = - 7y[/tex]

[tex]x - 7y + 376 + 15[/tex]

[tex] = x - 7y + 391[/tex]

A rectangular tank 160 cm long and 80 cm wide is filled with some water. John puts a cube with side 40 cm long into the water. What is the rise in water level if the cube is completely immersed?​

Answers

Answer:

The water level would rise by [tex]5\; \rm cm[/tex].

Step-by-step explanation:

Assume that the initial water level is [tex]h\; \rm cm[/tex].

Before the cube was placed in the tank, the volume of the water was the same as the volume of a rectangular prism with a length of [tex]160\; \rm cm[/tex], a height of [tex]80\; \rm cm[/tex], and a height of [tex]h\; \rm cm[/tex]:

[tex]\begin{aligned} & 160\; {\rm cm} \times 80\; {\rm cm} \times h\; {\rm cm} \\ =\; & (80 \times 160) \, h \; \rm cm^{3} \end{aligned}[/tex].

Let the rise in the water level in the tank be [tex]x\; \rm cm[/tex]. The new water level would be [tex](x + h)\; \rm cm[/tex].

The volume of the water and the submerged cube, combined, would be the same as that of a rectangular prism with a length of [tex]160\; \rm cm[/tex], a width of [tex]\rm 80\; \rm cm[/tex], and a height of [tex](x + h)\; \rm cm[/tex]:

[tex]\begin{aligned} & 160\; {\rm cm} \times 80\; {\rm cm} \times (x + h)\; {\rm cm} \\ =\; & (80 \times 160) \, (x + h) \; \rm cm^{3} \end{aligned}[/tex].

In other words:

Volume of water in this tank: [tex](80 \times 160)\, h\; \rm cm^{3}[/tex], whereasVolume of water in this tank, plus the volume of the submerged cube: [tex](80 \times 160) \, (x + h) \; \rm cm^{3}[/tex].

Therefore, the volume of the submerged cube could be expressed as:

[tex]\begin{aligned} & (80 \times 160) \, (x + h) \; {\rm cm^{3}} - (80 \times 160) \, h \; \rm cm^{3} \\ =\; &(80 \times 160)\, x\; {\rm cm^{3}}\end{aligned}[/tex].

On the other hand, the volume of the cube could be expressed as:

[tex](40\; \rm cm)^{3} = 64000\; \rm cm^{3}[/tex].

Equate these two expressions for the volume of the cube and solve for [tex]x[/tex], the rise in the water level in the tank:

[tex](80 \times 160)\, x = 64000[/tex].

[tex]x = 5[/tex].

In other words, the rise in the water level in this tank would be [tex]5\; \rm cm[/tex].

PLEASE HELP POINTS AND BRAINLIEST WILL BE GIVEN

Answers

Answer:

- 376

Step-by-step explanation:

8u = 8(- 8i + 3j ) ← multiply each element by 8

    = - 64i +24j

Then

(- 64i + 24j ) • (4i - 5j )

= (- 64 × 4) + (24 × - 5)

= -256 + (- 120)

= - 256 - 120

= - 376

Is this correct i am not sure

Answers

Answer:

Yes

Step-by-step explanation:

Collinear points are the points on the same line.

We see that points E, B and F are part of same line n.

Your answer is correct.

Answer:

EBF points are coplaner

Step-by-step explanation:

Coplaner points are the points which are ColinearThey are situated in one line .

if i pour 1/4 gallon of tea in each of the 4 pitchers. how many gallon in each pitcher

Answers

1/4 gallon in each pitcher

Out of all the trains currently at Middlebury Station, 5 are
headed east, 4 are headed west, and 9 are headed north.
What is the probability that a randomly selected train will be
heading north?

Answers

Answer:   1/2

Work Shown:

9 trains headed north

5+4+9 = 18 trains total

P(north) = (# of north)/(# total) = 9/18 = 1/2

Proportions-

Suppose you have a photograph that
has a height of 8 in and a width of 5
in. If you want to enlarge the
photograph so that it has a height of
32 in, how wide will it need to be?

Answers

Answer:

the width would be 20 inches

Step-by-step explanation:

32 = 8 × x

32 ÷ 8 = 4

so now multiply 5 by 4 which equals 20 inches

f(x)=x2

g(x)=x−3

Find the composition of the two functions and show your process:

g(f(x))

Answers

Answer:

g(f(x)) = x² - 3

Step-by-step explanation:

g(f(x))=g(x²)

= x² - 3

Step-by-step explanation:

[tex]f(x) = {x}^{2} \\ g(x) = x - 3 \\ g(f(x)) = g( {x}^{2} ) = {x}^{2} - 3 \\ thank \: you[/tex]

I NEED HELP PLZ!!! Let A=[−1 2 4 0] and v=[8 6] . Which of these is equivalent to Av?

Answers

Answer:

D. (16, 16)

Step-by-step explanation:

[(-1×8)+(4×6) , (2×8)+(0×6)]

[(-8 + 24) , (16 + 0)]

= [16 , 16]

A flower bed has the shape of a rectangle 15 feet long and 12 feet wide. What is its area in square yards? Be sure to include the correct unit in your answer.​

Answers

Answer:

[tex]180 ft.^2[/tex]

Step-by-step explanation:

[tex]15 ft.[/tex] × [tex]12 ft.= 180 ft.^2[/tex]

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