The hardcover version of a book weighs twice as much as its paperback version. The hardcover book and the paperback together weigh 4.2 pounds. Which system of equations can be used to find h, the weight of the hardcover book, and p, the weight of the paperback?
h = p − 4.2
h = 2p
h = 4.2 − p
p = 2h
h = p − 4.2
p = 2h
h = 4.2 − p
h = 2p

7. subtract 3

x=(-2)

x=2

8. 8c-4=20

add 4

8c=24

divide 8

c=3

9.[tex]\frac{h+9}{5} =\frac{h-1}{3} \\[/tex]

Answer:

Marrisa plans on studying for 5 hours today!

Step-by-step explanation:

1.5 hours =  (3/10) of X    ...... where X is the "number of hours she plans on studying today" and OF means to multiply....

so..... 1.5 = (3/10)X

then you will solve for X!  

Multiply by 10 on both sides and you get:   15= 3X

then divide by 3 on both sides and you get your answer!   5 = X

Answer:

9

Step-by-step explanation:

9/2= 4.5

Answer:

true

Step-by-step explanation:

Answer:

a. Sam withdraws $11 from his account. That means his account balance reduces by $11 so the integer is -$11.

He does this 4 times so;

= 4 * -11

= -$44

b. He then deposits $11 once every day for 4 days.

= 4 * 11

= $44

c. The integer for withdrawals is a negative figure to show that the balance was decreasing. The Integer for deposits is positive to show that the balance was increasing.

=============================================

Work Shown:

Isolate y in the first equation

2x+y = 5

y = 5-2x .... subtract 2x from both sides

y = -2x+5

Then plug this into the other equation

-3x - 5y = 3

-3x - 5( y ) = 3

-3x - 5( -2x+5 ) = 3 .... replace y with -2x+5

-3x + 10x - 25 = 3 .... distribute

7x-25 = 3

7x = 3+25 .... adding 25 to both sides

7x = 28

x = 28/7 .... divide both sides by 7

x = 4  is the answer

-------------------------------------

Optional Section:

Use this value of x to find y

y = -2x+5

y = -2(4)+5

y = -8+5

y = -3

Then we can check our answers by plugging them into the original equations

2x + y = 5

2(4) - 3 = 5

8 - 3 = 5

5 = 5

That confirms the first equation. Repeat for the second equation

-3x - 5y = 3

-3(4) - 5(-3) = 3

-12 + 15 = 3

3 = 3

We've confirmed both equations, so (x,y) = (4, -3) is the solution to this system. This system is considered independent and consistent.

Graphing the two original equations will show that they intersect at (4, -3).

Answer:

35 years

Step-by-step explanation:

A= P(1 + r)^n

A= $8400

r= 3%

n= ?

P= $3000

8400 = 3000(1 + 0.03)^n

8400/3000 = (1 + 0.03)^n

log2.8 = log (1.03)^n

log 2.8 = nlog 1.03

n=log 2.8/log 1.03

n= 35 years

Answer:

4.5

Step-by-step explanation:

2x=9

x=9/2

 =4.5

Answer:

x = 4.5

Step-by-step explanation:

[tex]2x=9\\\\\text{Divide both sides by 2.}\\\\\frac{2x=9}{2}\\\\\boxed{x=4.5}[/tex]

Hope this helps.

Answer:

Part A: Brianna made a error on step 2. Because it has to be + 31 not + 41 cause it is a -5+36

Part B: x= -1

Step-by-step explanation:

This is how it should have been done.

Step 1: -5+6(6x+6)= 1+6x

Step 2: -5+36x= 36=1+6x

Step 3: 36x+31= 1+6x

Step 4: 36x= 6x-30

Step 5: 30x= -30

Step 6: x= -1

Answer:

k = 5

Step-by-step explanation:

Given that (x - h) is a factor of f(x) then f(h) = 0

Given (x - 1) is a factor of f(x), then f(1) = 0, that is

3(1)³ - 8(1) + k = 0

3 - 8 + k = 0

- 5 + k = 0 ( add 5 to both sides )

k = 5

The value of k in the polynomial f(x) = 3x³ - 8x + k is 5.

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given,  f(x) = 3x³ - 8x + k, and (x - 1) ⇒ x = 1 is a factor of f(x),

∴ If we replace 1 in place x and make f(x) = 0 and equate we will have the value of k.

So, 0 = 3(1) - 8(1) + k.

0 = 3 - 8 + k.

k = 5.

learn more about factor of a polynomial here :

https://brainly.com/question/28315959

#SPJ2

Answers:

Roots of g(x) are: -1, -6, 1, -4

Y intercept of g(x) is:  24

==============================================

Explanation:

Part 1) Finding the roots of g(x)

To do this, we need the roots of f(x). Plug in f(x) = 0 and solve for x using the zero product property.

f(x) = (x-2)(x+3)(x-4)(x+1)

0 = (x-2)(x+3)(x-4)(x+1)

(x-2)(x+3)(x-4)(x+1) = 0

x-2 = 0  or  x+3 = 0  or  x-4 = 0   or  x+1 = 0

x = 2  or  x = -3   or   x = 4   or   x = -1

Those four x values are the roots of f(x). Plugging any of those values into f(x) leads to f(x) = 0.

Now onto g(x). We see that g(x) = -f(x+3). The x+3 indicates the xy axis has been shifted by 3 units to the right. This gives the illusion the f(x) curve is shifted 3 units to the left. This will move each root 3 units to the left as well.

The four roots of g(x) are:  -1, -6, 1, -4

------------------------------------------------

Part 2) The y intercept of g(x)

Let's plug x = 0 into g(x) to see what happens

g(x) = -f(x+3)

g(0) = -f(0+3) ... replace every x with 0

g(0) = -f(3)

We don't know f(3) yet, but we can plug x = 3 into f(x) to find out

f(x) = (x-2)(x+3)(x-4)(x+1)

f(3) = (3-2)(3+3)(3-4)(3+1)

f(3) = (1)(6)(-1)(4)

f(3) = -24

Therefore,

g(0) = -f(3)

g(0) = -(-24)

g(0) = 24

The y intercept of g(x) is 24.

Answer:x = 12

because  RHMO is a rhombus => MH⊥RO

=> m∠3 = 90°

⇒ 8x - 6 = 90°

⇔ 8x = 96

⇔ x = 96/8 = 12

Step-by-step explanation:

Answer:

5(2+8)+(12-6/3)2

5(10)+(12/1-6/3)2

50+(36/3-6/3)2

50+(30/3)2

50+60/3

50+20

70

Step-by-step explanation:

Answer: 70

If the equation is  [tex]5(2+8)+(12-\frac{6}{3} )2[/tex]

[tex]5*10+(12-2)*2[/tex]

[tex]5*10+10*2[/tex]

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

[tex]10*7[/tex]

Answer: 70

Please mark brainliest if correct :)

Answer:

1.

1/2/3/4/5/32

3/6/9/12/15/96

2.

1/2/3/4/5/12

8/16/24/32/96

3.

2/4/6/8/10/12

3/6/9/12/15/18

Step-by-step explanation:

ratios are basically in "#:#" form. then put that in a table. remember that for each one of one thing, it is equivalent to another thing. it might be easy to count it. good luck

Answer:

Step-by-step explanation:

no

no

yes

no

no

an integer is a whole number positive or negative or zero.

... ,-3,-2,-1,0,1,2,3,... are integers.

Answer:

a

Step-by-step explanation:

Answer:

X = 10/9

Step-by-step explanation:

7x - 5 = 2x + 5

7x - 2x = 5 + 5

9x = 10

X = 10/9

Answer:

y=56.9933034497, x=.00561680186

Step-by-step explanation:

Answer:

The answer is similar, AA similar.

Step-by-step explanation:

The triangles are obviously similar; but we only know that because of the two identical angles. (AA)

Please mark Brainliest!

Answer:

hehhehhe what the other guy said lol 10+9=21

Answer: -3/4*x=-27

x=36

Step-by-step explanation:

-3/4*x=-27

Divide on -3/4 on both sides:

-3/4/-3/4*x=-27/-3/4

x=36

Answer:

The equation would be:

Y=-3/4 + 9

Step-by-step explanation:

Hope it helps.

Answer:

its A

Step-by-step explanation:

Answer:

(-5, 7)

Step-by-step explanation:

Answer:

(7,-5)

Step-by-step explanation:

the layout of the coordinate point always goes (x-axis, y-axis), aka (x,y).

so, to do this, you first find the line on the x-axis that coordinate "f" falls on, which would be line 7 on the x-axis.

then, you find the line on the y-axis that coordinate "f" falls on, which would be line -5 on the y-axis.

I hope this was helpful, let me know if there's any questions, as well as if you got it correct :)

Answer:

yes because 422+ 562= 70