If f(x) = 2x^2 and g(x)= x^2 + 2x, which expression represents f(g(x))?

A) 2x^4 + 4x^2
B) 4x^4 + 4x^2
C) 2x^4 + 8x^2
D) x^4 + 4x^3 + 4x^2
E) 2x^4 + 8x^3 + 8x^2

Answer:

4x-12

Step-by-step explanation:

x+3x-6-6

4x-6-6

4x-12

Answer: 3

Step-by-step explanation:

x + 3( x - 2) - 6 = 0

x + 3x - 6 - 6 = 0

4x - 12 = 0

4x = 12

dividing both sides by 4

x = 12/ 4

x = 3

Your Answer Is: 0.125

The value of the expression 3/8 - 1/4 is 1/8.

To find this, you must first find a common denominator, which in this case is 8. Multiply 1/4 by 2/2 to get 2/8. Now, you are able to subtract the fractions to find your answer. 3/8 - 2/8 = 1/8. Thus meaning, 1/8 is your answer.

I hope this helps!

Answer:

86'

Step-by-step explanation:

The number is [tex]\( \frac{45}{8} \).[/tex]

Let's denote the unknown number as x. The given expression can be translated into an equation:

[tex]\[ 11 \times \left(\frac{x}{3}\right) - 15 \][/tex]

To find the number, set up the equation and solve for x:

[tex]\[ 11 \times \left(\frac{x}{3}\right) - 15 = x \][/tex]

First, distribute the 11:

[tex]\[ \frac{11x}{3} - 15 = x \][/tex]

Next, move [tex]\( \frac{11x}{3} \)[/tex] to the other side of the equation by subtracting it from both sides:

[tex]\[ -15 = x - \frac{11x}{3} \][/tex]

To combine the terms on the right side, find a common denominator (3):

[tex]\[ -15 = \frac{3x}{3} - \frac{11x}{3} \][/tex]

[tex]\[ -15 = \frac{-8x}{3} \][/tex]

Now, solve for x:

[tex]\[ x = \frac{-15 \times 3}{-8} \][/tex]

[tex]\[ x = \frac{45}{8} \][/tex]

So, the number is [tex]\( \frac{45}{8} \).[/tex]

The probable question may be:

Eleven times the quotient of a number and 3 minus 15. Find the number?

Answer:

24

Step-by-step explanation:

The equations just need to be equal so you multiply 3 by 6 to get 8 and then 4 by 6 to get 24

3 / 4 = 18 / 24

Answer: Remaining balance is $150

Step-by-step explanation:

Contact lens= $200

25% of the amount was paid

= 25/100 × 200 = $50

Out of $200 of contact lens, $50 was paid as deposit, subtract $200 from $50 to give balance.

$200 - $50 = $150

I hope this helps.

After calculating a 25% deposit on the $200 contact lenses, which is $50, the remaining balance that needs to be paid is $150.

If the cost of your new contact lenses is $200, and you left a 25% deposit upon ordering the lenses, we need to first calculate the amount of the deposit and then determine the remaining balance.

To find the deposit amount, we take 25% of the total cost:

Once we have calculated the deposit amount, we subtract it from the total cost to find the remaining balance owed:

So, after leaving a 25% deposit on the contact lenses, your remaining balance would be $150.

By decomposing the figure in simpler ones, we conclude that its area is 9 square units.

Let's read the figure from the top.

First, we can see in the top two triangles that have an area of half a square unit, then adding these two we have one square unit.

Below that, there are 4 square units inside the figure.

On the left and right sides, there are triangles of base of 1 unit and height of 2 units, then each of these triangles has an area of:

a = 1*2/2 = 1 square unit

And we have 2 of these triangles, so the total area is 2 square units.

Finally, on the bottom we can see 4 triangles like in the top part, we know that each one of these measure 0.5 square units, then the 4 add up to 2 square units.

Adding all the areas above, we see that the total area is:

A = (1 + 4 + 2 + 2) square units = 9 square units.

So the correct option is C

If you want to learn more about area, you can read:

https://brainly.com/question/24487155

Answer:

(0,4)

Step-by-step explanation:

f(x)=4-5x

4-5(0)

5(0)=0

4-0=4

Answer:

30 miles

Step-by-step explanation:

First divide 15 and 5 because you need to know how much he did in a hour

Next multiple it by 10

Answer:

  4x^2 -16

Step-by-step explanation:

As with any "what must be added" problem, you subtract the parts you have from the result you want:

  (3x^2 +4x +8) + (2x^2 -6x +3) + what = 9x^2 -2x -5

Identify the stuff on the left that is not "what" and subtract it from the equation:

  what = (9x^2 -2x -5) - (3x^2 +4x +8) - (2x^2 -6x +3)

  what = x^2(9 -3 -2) +x(-2 -4 +6) +(-5 -8 -3)

  what = 4x^2 -16 . . . . . . . must be added to give the desired sum

Answer:

No

Step-by-step explanation:

Write the ratios of erasers to cost (dropping the dollar sign) as fractions:

(number of erasers)/(price): 2/1 and 10/4

The question is if the ratios 2/1 and 10/4 are equivalent.

2/1 = 2

10/4 = 2.5

A proportion is setting two ratios equal. Here, one ratio equals 2, and one ratio equals 2.5.

Since the ratios are not equivalent, the relation is not proportional.

Answer: 47.5 ft^2

Step-by-step explanation: First find the area of the rectangle using the formula length*height. This is 10*4 or 40.

Then find the area of the bottom triangle using the formula (base*height)/2. This will be (3*3)/2, which simplifies to 9/2, which is 4.5.

Then find the area of the top triangle using the same formula, which will be (2*3)/2, which simplifies to 6/2, which is 3.

Add all of these together. 40+3+4.5=47.5.

Answer: 2/5 pizza

Step-by-step explanation:

Answer:

12 sheep

8 chickens

Step-by-step explanation:

x+y=20, x=number of sheep and y=number of chickens

4x+2y=64. (Total number of legs)

Solve the system algebraically or graphically.

1. Multiply the top equation by -2 then add the equations together to solve for x.

Or

1. Solve for y in the top equation and substitute that for y in the second equation.

Then

2. Put x into either equation to solve for y.

Answer:

Closure property

Step-by-step explanation:

The closure property of polynomials for addition says that, if we add any two polynomials , the result is also a polynomial.

For is

[tex] {x}^{2} + 2[/tex]

is a polynomial.

[tex]x - 2[/tex]

is also a polynomial.

The sum of the two polynomials is

[tex] {x}^{2} + 2 + x - 2 = {x}^{2} + x [/tex]

The result:

[tex] {x}^{2} + x[/tex]

is also a polynomial.

Answer:

Option A) D: {0 ≤ x ≤ 12}; The domain represents the amount of gas used

Step-by-step explanation:

Let

x ----> number of gallons used (independent variable)

y ---> number of miles remaining (dependent variable)

we know that

The domain of a function is the set of all possible values of x

so

The domain represents the amount of gas used

D: {0 ≤ x ≤ 12}

the cost of ketchup is $3.53 & mustard is $0.63 .

Step-by-step explanation:

Here we have , Brianna bought 3 bottles of ketchup and 2 bottles of mustard for $11.85. Logan bought 3 bottles of ketchup and 5 bottles of mustard for $13.73. We need to find the cost of each. Let's find out :

Let cost of ketchup be x and mustard be y than ,

Brianna bought 3 bottles of ketchup and 2 bottles of mustard for $11.85

We have following equation ,

⇒ [tex]3x+2y=11.85[/tex]   ..........(1)

Logan bought 3 bottles of ketchup and 5 bottles of mustard for $13.73

We have following equation ,

⇒ [tex]3x+5y=13.73[/tex]        ........(2)

Now , (2) - (1) , i.e.

⇒ [tex]3x+5y-(3x+2y)= 13.73-11.85[/tex]

⇒ [tex]3y= 1.88[/tex]

⇒ [tex]y=0.627[/tex]

Putting value of y in (1) :

⇒ [tex]3x+2(0.627)=11.85[/tex]

⇒ [tex]3x=11.85-1.254[/tex]

⇒ [tex]x=3.532[/tex]

Therefore , the cost of ketchup is $3.53 & mustard is $0.63 .

The cost of each bottle of ketchup is $3.532 and cost of each mustard is $0.626

Explanation:

Given:

3 bottles of ketchup + 2 bottles of mustard = $11.85

3 bottles of ketchup + 5 bottles of mustard = $13.73

Cost of each = ?

Let x be the cost of each bottle of ketchup

Let y be the cost of each bottle of mustard

According to the question:

3x + 2y = $11.85

3x + 5y = $13.73

Substituting both the equation, we get:

3x + 2y = $11.85

3x + 5y = $13.73

________________

-3y = -1.88

y = $0.626

Substituting the value of y = $0.626 in equation 1

3x + 2(0.626) = $11.85

3x + 1.252 = $11.85

3x = 10.598

x = $3.532

Therefore, cost of each bottle of ketchup is $3.532 and cost of each mustard is $0.626

Answer:

10,000m²

Step-by-step explanation:

The figure can be divided into a rectangle and a triangle as shown in the attachment.

The area of the rectangular portion is

[tex] = l \times w[/tex]

[tex] = 120 \times 30[/tex]

[tex] = 3600 {m}^{2} [/tex]

The area of the triangular portion is

[tex] = \frac{1}{2} \times 80 \times 160[/tex]

[tex] = 6400 {m}^{2} [/tex]

The area of the figure is therefore

[tex] = 6400 + 3600[/tex]

[tex] = 10000 {m}^{2} [/tex]

Answer:

$62.50

Step-by-step explanation:

125/2=62.5 --> $62.50

Answer:

dude put the whole question so people can answer right .

Step-by-step explanation:

Answer:a

Step-by-step explanation:

Answer: Not true

Step-by-step explanation:

8.21 /7.8

8.21 × 100 divided by 7.8 ×100

821/780

= 1.05

The required simple interest is given as $17.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.

Here,
Principal = $850
Rate = 4%
Time = 6 months

Simple interest = principal × rate/100 × time / 12

                         = 850 × 4 / 100 × 6/12
                         = 850 × 0.04 × 1/2
                         = $17

Thus, the required simple interest is $17.

Learn more about simple interests here:

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Answer:

i do not have he info needed

Step-by-step explanation:

Answer:it’s b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

so you know that where it around angle c you use supplementry angels. this makes it 180-130=50.

you then know that the triangle is 90degrees plus 50 degrees plus x =180

90+50+z=180

140+z=180

z=40

Answer:

B) ∠z = 40°

Step-by-step explanation:

All three angles of a triangle add up to 180°. In this image, you can see that the angle ∠ACD is 130°. Because ∠ACB and ∠ACD are supplementary angles it means that their angles equal 180° when added together.

If ∠ADC = 130° then:

180° - 130° = 50°

Since we now know that ∠ACB is 50°, we can subtract our two angles from 180° to get the measurement for angle z.

180° - 50° - 90° =

180° - 140° = 40°

~Hope this helps!~

Final answer:

The perimeter of a rectangle is found by adding up the lengths of all its sides.

Explanation:

The perimeter of a rectangle is found by adding up the lengths of all its sides. In this case, the base of the glass house is a rectangle.

Let's say the length of the base is 12 meters and the width is 8 meters. To find the perimeter, we add up the lengths of all four sides: 12 + 8 + 12 + 8 = 40 meters.

Answer:

0

Step-by-step explanation:

she took the same amount of money out of her account as she put in.

Answer: x = 5t - a

Step-by-step explanation:

6x + a = 5 (x + t)

expanding the bracket

6x + a = 5x + 5t

collecting like terms

6x - 5x = 5t - a

x = 5t - a

Answer:

x = 5t - a

Step-by-step explanation:

in order to make x the subject of formulae from the expression 6x+a=5(x+t)

the first step to do is to open the bracket (BODMAS).

6x+a=5(x+t)

6x + a = 5x + 5t

collect the like terms

6x-5x = 5t - a

x = 5t - a

therefore the value of x in the expression , that is expressing x interms of t and a from the expression 6x+a=5(x+t) is solved to be x = 5t - a

Answer:

multiply by -2

Answer:

3212333222555321233322321

Step-by-step explanation:

Answer:

B. 280

Step-by-step explanation:

The dimensions of the cross sections would be:

Base = 14

Height = 20

Find the area:

14 × 20 = 280