Given that f(x) = x2 + 12x + 32 and g(x) = x+ 4, find (f - g)(x) and
express the result in standard form.

Answer:

1,2,4

Step-by-step explanation:

I hope this helps

Answer:

hold up and essay about what?

Answer:

Step-by-step explanation:

(13-2w)^2 = 169 - 52w + 4w^2

(w+6)^2 = w^2 + 12w + 36

Setting them equal:

169 - 52w + 4w^2 = w^2 + 12w + 36

3w^2 - 64w + 133 = 0

Using the quadratic formula, we get

x = (64 +/- sqrt(64^2 - 4*3*133))/6

64^2-12*133 = 2500. sqrt(2500) = 50.

x = (64 +/- 50)/6.

x = 19 or 14/6 = 7/3.

Solving the original equation:

7 = 3w.

w = 7/3.

Therefore 19 is extraneous.

x = 19 is the extraneous solution Li Juan obtained.

The given equation is 13 - 2w = w + 6.

We need to solve the equation by squaring both sides of the equation.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now,  13 - 2w = w + 6 squaring both sides of the equation.

That is, (13-2w)²= 169 - 52w + 4w²

(w+6)²= w²+ 12w + 36

Setting them equal, we get

169 - 52w + 4w² = w² + 12w + 36

⇒3w²- 64w + 133 = 0

Now, using the quadratic formula, we get

x = (64±√(64² - 4×3×133))/6

⇒x = (64±√2500)/6.

⇒x = (64±√50)/6.

⇒x = 19 or 14/6 = 7/3.

Solving the original equation, we get

7 = 3w⇒w = 7/3

Therefore, x = 19 is the extraneous solution Li Juan obtained.

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Answer:

x = -46

Step-by-step explanation:

Y= -0.5x+5

3x+5y=2 [replace the "y" in this problem with the what "y" equals above]

3x + 5( -0.5x + 5) = 2

3x + -2.5x + 25 = 2

0.5x = -23

x = -46

Answer:

54x+16y

Step-by-step explanation: u have insta

Ok the answer Is 3x+8y trust me it'll save you in algebra

Answer:

i think its1. true2. false 3.true4. false

Step-by-step explanation:

Answer:

1. false 2. false 3. true 4. true

Step-by-step explanation:

yw

Answer:

m = -7/2

Step-by-step explanation:

If two lines are parallel, they have the same slope. The slope of r is -7/2 (y=mx+b), so the slope of r is also -7/2.

Answer:

D

Step-by-step explanation:

Answer:

The measure of angle BCA = The measure of angle B prime C prime A prime

Answer:

Evaluate 7j+5-8k when j=0.5 and k=0.25 Get the answers you need, now!

2 answers

Step-by-step explanation:

Answer:

6.5

Step-by-step explanation:

(7*0.5)+(5)-(8*0.25)

PEMDAS

Multiply 7 and 0.5= 3.5

Multiply 8 and 0.25= 2

3.5+5-2

Add 3.5 and 5= 8.5

Subtract 8.5 and 2= 6.5

Answer:

m + g < 40

12m + 14g  > 250

Step-by-step explanation:

Given : Jordan is paid $12 per hour for mowing lawns and $14 per hour for planting gardens.

Let m represents the number of hours mowing lawns and g represents the number of hours planting gardens.

He can work a maximum of 40 hours per week, and would like to earn at least $250 this week.

Then, the system of the inequality becomes

m + g < 40

12m + 14g  > 250

help please someone

The volume of the rectangular prism is given by the equation

A = 13 1/2 inches³

What is the Volume of a Rectangle?

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

Let the volume of the rectangular prism be represented as A

Now , the equation will be

The length of the rectangular prism L = 1 1/2 inches

The length of the rectangular prism L = 1.5 inches

The width of the rectangular prism L = 2 1/4 inches

The width of the rectangular prism L = 2.25 inches

The height of the rectangular prism L = 4 inches

So , the volume of the rectangular prism A = Length x Width x Height

Substituting the values in the equation , we get

The volume of the rectangular prism A = 1.5 x 2.25 x 4

On simplifying the equation , we get

The volume of the rectangular prism A = 13.5 inches³

Hence , the volume of rectangular prism is  13.5 inches³

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Answer:

1/3

Step-by-step explanation:

Slope = rise/run = (4- -4)/(-6-18) = 8/24 = 1/3

Answer:

The answer is:

Quotient: 9/y

Sum: 4(3) +8

Variable is: y

Step-by-step explanation:

A quotient is the result of a division problem.

The expression 9/y represents a quotient.

A sum is the result of an addition problem.

The 4(3) + 8 represents a sum.

A variable is a letter that stands for an unknown quantity.

Y is a variable

I hope this helped you out!! :D

Answer:

Quptient: 9/y

Sum: [tex]4^{3}[/tex]+8

Variable: 7

Step-by-step explanation:

A quotient is the result of a division problem.

the expression 9/y represents a quotient

A sum of an addition problem.

The expression [tex]4^{3}[/tex]+ 8 represents a sum.

A variable is a letter that statnds for a unknown quatily

y is a variable.

The correct answers are:

Kind of expressions: Example:

Quptient: 9/y

Sum: [tex]4^{3}[/tex]+8

Variable: 7

Answer:

Pretty sure its 0.6x + 0.5= 0.75

Step-by-step explanation:

[tex]\boxed{\boxed{\pink{\bf \dag Value \ of \ x \ is \ \dfrac{5}{12}}}}[/tex]

A linear equation is given to us and we need to solve the equation by converting it into a equivalent equation that does not contain fractions . So the given equation is :-

[tex]\bf\implies \dfrac{3}{5}x + \dfrac{1}{2}=\dfrac{3}{4}[/tex]

Here the denominators of the fractions are 5 , 2 and 4. So LCM of 5 , 2 and 4 is , 20 .

So , Multiply whole equation by 20 .

[tex]\bf\implies 20 \bigg( \dfrac{3}{5}x + \dfrac{1}{2} \bigg) = 20 \times \dfrac{3}{4}\\\\\bf\implies 4\times 3x + 10 = 5\times 3 \\\\\bf\implies 12x + 10 = 15 \:\: \bigg\lgroup \blue{\bf Equivalent \ equation \ without \ fractions .}\bigg\rgroup [/tex]

Now let's solve this equation since we successfully converted it into a equivalent equation without fractions.

[tex]\bf \implies 12x + 10 = 15 \\\\\bf\implies 12x = 15-10 \\\\\bf\implies 12x = 5 \\\\\bf\implies\boxed{\red{\bf x =\dfrac{5}{12}}}[/tex]

Answer:

32+d

Step-by-step explanation:

because it's asking for 32 added on to whatever d is

example

if d=5 it would be asking what's 32 +5

Answer:

The slope is 6

Step-by-step explanation:

Y2-Y1 / X2-X1

-3-(-9) / -1-(-2)

6

Answer:

m = 6

Step-by-step explanation:

slope (m) = rise / run

rise = y2 - y1 = -3 - (-9) = 6

run = x2 - x1 = -1 - (-2) = 1

slope = 6/1 = 6

Answer:

t=91

Step-by-step explanation:

Step-by-step explanation:

the answer of the question above is

a=0

b=6

c=4

Answer:

i hope this helps

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

2x+5x=63

7x=63

x=9

number of boys =5×9=45

Answer:

2 i think

Step-by-step explanation:

Answer:

what is the question

Step-by-step explanation:

Answer:

3x+4y=18 and 5x+2y=16

x=the cost of the sodas

y=the cost of the iced teas

then you do

3x+4y=18, and 10x+4y=32 (the equation is still equivalent to 5x+2y=16, you just doubled it)

next,

10x+4y=32

-3x-4y=-18 (once the y's match, make one negative and one positive)

which leaves you with:

7x=14

which means

x=2

Plug the x value back into the equation, for this I chose to plug it back into 3x+4y=18

3(2)+4y=18

6+4y=18

4y=12

y=3

so the final answer is x=2, and y=3

Answer:

h=2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Fie distanța totală = x

Un călător parcurge un drum în trei zile

În prima zi merge o treime din drum și încă 15 km

= 1 / 3x + 15km

A doua zi călătorește două șapte din restul

= 2 / 7x

În a treia zi

75 km

Cât de lung este drumul

= 1 / 3x + 15 + 75 + 2/7 (2 / 3x).

Answer:

20%

Step-by-step explanation:

sorry if i am wrong

Hey there!

If the tallest trophy is about 270 inches, and you stack 4 of those trophies on top of each other, you'd be multiplying 270 times 4.

270×4= 1,080

So, if you stacked four 270-inch trophies on top of each other, they would be 1,080 inches high.

Hey there!

#1 ⬇️

6 × 6 × 6 × 6 × 6

6 × 6 = 36

36 × 36 × 6

36 × 36 = 1,296

1296 × 6 = 7,776

Answer: 7,776 ☑️

#2 ⬇️

3 × 3 × 3 × 3

3 × 3 = 9

9 × 9 = 81

Answer: 81 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

¼x+2 pencils

Step-by-step explanation:

¼ of (x+8)pencils

¼×(x+8)

¼x+2