Given f(x) = 4x3 − 12x2 + 40x + 12, find f(–2).

Answer:

20x + 12y

Step-by-step explanation:

4 times 5x = 20x

4 times 3y= 12y

Step-by-step explanation:

I am going to assume that the equivalent expression is fully simplified.

To simplify this expression, we use the distributive method.

Using this method we get:

4·(5x+3y) = 4·5x+4·3y

Now that we have the terms seperated, simplify each of them:

4·5x + 4·3y = 20x + 12y

Our expression is now fully simplified so our answer is:

20x + 12y

a) 4w and 3w

b) 4x^2 and -3x^2 and y^2

Answer:

a ) 4w and 3w

b ) 4x^2 and - 3x^2

Step-by-step explanation:

Like terms are considered to have similar variables, such as say 1abc and 22abc. Note that the " 1 " and " 22 " are  coefficients ;

[tex]a ) 4w, 3w\\\\b ) 4x^2, - 3x^2[/tex]

As you can tell, the part a ) has terms with the like variable w, and part b ) has terms with the like variable x^2

Solution above

Answer:2,3,4

Step-by-step explanation:

Answer:

640 and 400

Step-by-step explanation:

Cost of books: x and 1040 -x

x sold at a loss of 15%= 0.85 x

1040 -x sold at  a profit of 36% = (1040 - x)*1.36

Answer:

24:16

Step-by-step explanation:

to find 1 part = 40/5 (you add the total of the ratio: 3+2)

so 8 and then times 8 by 3 and 8 by 2 to get the parts

Answer:

24 and 16

Step-by-step explanation:

First find the number of parts: 3+2 = 5.

then, divide 40 by 5 to find how much is available for each part. This way, you get 8.

Then to find the value for each section of the ration, multiply eight by the corresponding side.

8 x 3 = 24

8 x 2 = 16

Hope this helps.

Please mark brainiest

There is no picture ; - ;

Answer:

its C

Step-by-step explanation:

Answer:

Given

Step-by-step explanation:

(-4/15)-(9/10)

LCM = 150

(-4/15)= (-40/150)

(9/10)= (135/150)

So the equation becomes

= (-40/150)-(135/150)

= (-40-135)/150

= (-40+-135)/150

= -175/150

= -7/6 ( divide both by 25 to simplify)

The simplified value of  (-4/15) - (9/10)  is -7/6

The given question is (-4/15) - (9/10)

⇒first take L.C.M 15 and 10 which is 30.

⇒divide 30 by both the denominator  10 and 15 which is 3 and 2 respectively.

⇒multiply 3*-9 and 2*-4

⇒now solve using sign.

(-4/15) - (9/10)

⇒[tex]\frac{(-4*2)-(9*3}{30}[/tex]

   ⇒[tex]\frac{-35}{30}[/tex]

  ⇒ [tex]\frac{-7}{6}[/tex]

Learn more about Simplification here: https://brainly.com/question/723406

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Answer & Step-by-step explanation:

[tex]\frac{1}{4}(x+5)^2-1=3[/tex]

Add 1 to both sides.

[tex]\frac{1}{4}(x+5)^2=4[/tex]

Multiply both sides by 4.

[tex](x+5)^2=16[/tex]

Take the square root of both sides.

[tex]\sqrt{(x+5)^2} =\sqrt{16}[/tex]

[tex]x+5=4[/tex]

Subtract 5 from both sides.

[tex]x=-1[/tex]

Answer:

c = 20d + 15

Step-by-step explanation:

answer choices may help if the answer is not one of the choices; but here is the answer that it should be:

20 dollars per day is 20 times the length of rental.

15 is a cost that is added and does not change.

c = the total cost therefore:

c = 20d + 15

Answer:

1/3(4√2/2- 5)

-1/3(4√2/2 + 5)

Step-by-step explanation:

2(3x+5)² -16=0

2(3x+5)²=16

(3x+5)² = 4²/2

3x+5= 4/√2 ⇒ 3x= 4/√2- 5 ⇒ x= 1/3(4√2/2- 5)

3x+5= -4√2 ⇒ x= -1/3(4√2/2 + 5)

Answer:

[tex]6a^{5}[/tex].

Step-by-step explanation:

To multiply exponents, you will need to begin by multiplying the coefficients as normal. In this instance:

3 · 2 = 6.

When multiplying exponents, however, remember that you must ADD the exponents. Therefore:

3a² · 2a³ = [tex]6a^{5}[/tex]

Answer: 384 miles

Step-by-step explanation:

From the question, Mrs. Schroeder, a school principal, drove her own car for a class trip, by taking a different route and we are told that the principal’s car can travel 32 miles per gallon of gas, and it used 12 gallons for the trip.

Since it used 1 gallon of gas for 32 miles, 12 gallons will be for:

= 32miles × 12

= 384 miles

The principal drove for 384 miles.

Answer:

A.

Step-by-step explanation:

Plug it in:

3 + 5 = 8

TRUE

Answer:

4.75

Step-by-step explanation:

u = 10  a = -2  t = 0.5 (half)

need to work out u times t add 0.5 times a times t ^2

so 10 x 0.5 + 0.5 x -2 x 0.25

= 4.75

Answer:

s=4.5 m

Step-by-step explanation:

in the equation s=ut+1/2at squared, u=10, a=-2, and t==1/2. So substitute the given values by the units u, a and t.

[tex]s=ut+\frac{1}{2} at^{2} \\s=10*\frac{1}{2}+-2*\frac{1}{2}^{2}\\ s=5+(-2)*\frac{1}{4}\\ s=5+\frac{-2}{4}\\ s=\frac{5*4-2}{4}\\ s=\frac{20-2}{4}\\ s=\frac{18}{4}\\ s=4.5 m[/tex]

Answer: 16.38

Step-by-step explanation: I had this same math problem a while ago and got it right.

Answer:

hello 55

Step-by-step explanation:

Answer:

$ 1360.37

Step-by-step explanation:

Suppose we call the original price of the lawnmower x.

That means, to get a discount, the equation would be,

x * 1 -  x * 6% = 1278.75

= (94/100) * x = 1278.75

= (47/50) * x = 1278.75

x = 1278.75 * 47 / 50

= 1360.37

Answer:

a

Step-by-step explanation:

b+8=13.

first,you have to make b the subject of the formula (stand alone) and for that to happen +8 will have to cross the equality sign.when a positive sign crosses over the equality sign it changes to a negative sign.

so that would be b=13-8

Therefore,b=5(a)

Answer:

Correct option: First one -> 16 mm

Step-by-step explanation:

The equilateral triangle has its three sides with the same length.

So if the perimeter is 96 mm, we have:

[tex]Perimeter = 3*side[/tex]

[tex]3*side = 96[/tex]

[tex]side = 32 mm[/tex]

The segment MA is the height of the equilateral triangle, and its length can be calculated with the equation:

[tex]height = \frac{side * \sqrt{3}}{2}[/tex]

[tex]height = 16\sqrt{3}[/tex]

Using the Pythagoras' theorem in the triangle ACM, we have:

[tex]side^2 = MC^2 + height^2[/tex]

[tex]1024 = MC^2 + 768[/tex]

[tex]MC^2 = 256[/tex]

[tex]MC = 16\ mm[/tex]

Correct option: First one

Answer:

(A) 16mm

Step-by-step explanation:

Answer:

Distribute -1/2 over (x - 4)

Divide both sides of the equation by -2

The first step to begin to simplify the equation is to multiply both sides of the equation by -2

To find the first step to simplify the equation.

The given equation

=-1/2(x + 4) = 6

First, we will multiply both sides of the equation by -2

we get,

x + 4 = -12

x = -12-4 = -16

Hence, the value of x is -16.

Therefore, the first step is to multiply both sides of the equation by -2.

To learn how to find the first step to simplify the equation, refer:

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Answer: x = 5, y = 2

Step-by-step explanation

x = 0, x = 5

5 - 0 = 5

y = 1, y = 3

3 - 1 = 2

Answer:

A = 90.25π

Step-by-step explanation:

Area of a circle = [tex]\pi r^2[/tex]

r = 9.5

A = 90.25π

Answer:

[tex]\pi \times 9.5 {?}^{2} [/tex]

Answer:

not B

Step-by-step explanation:

I took the test

Answer:

see explanation

Step-by-step explanation:

(1)

The axis of symmetry is situated midway between the x- intercepts, thus

x = [tex]\frac{-3+5}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1

Equation of axis of symmetry is x = 1 → d

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

(2)

The x- intercepts of a quadratic are the solutions, thus

x = 2 and x = - 3 → b

Answer: [tex]\frac{(x+4)(x-1)}{(x+4)(x+2)}[/tex] which is the same as [tex]\frac{x^2+3x-4}{x^2+6x+8}[/tex]

If the math notation does not load properly, or the font size is too small, then it says ( (x+4)(x-1) )/( (x+4)(x+2) ) which is the same as (x^2+3x-4)/(x^2+6x+8)

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

Explanation:

We see that x cannot equal -2, as this prevents the denominator (x+2) from becoming zero. If x = -4, then x+4 = 0. So x not allowed to be -4 means (x+4) is prevented in being zero, and this is the missing factor in the denominator. We can never divide by zero.

Multiply top and bottom of this given fraction by (x+4) to get [tex]\frac{(x+4)(x-1)}{(x+4)(x+2)}[/tex]

Note how the (x+4) terms divide and cancel to get back to the original fraction given. The portion [tex]x \ne -4[/tex] sticks around to make sure the domains line up properly.

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Optionally you can expand out each product in the numerator and denominator to get

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

(x+4)(x+2) = x^2+2x+4x+8 = x^2+6x+8

I used the FOIL rule

So, [tex]\frac{(x+4)(x-1)}{(x+4)(x+2)} = \frac{x^2+3x-4}{x^2+6x+8}[/tex]

Answer:

the line of symmetry. It's like a mirror.

Step-by-step explanation:

Answer:

A. Infinitely many solutions

Step-by-step explanation:

x − 2y = 5   | × (- 2)

2x − 4y = 10

- 2x + 4y = - 10

2x - 4y = 10

----------------------- +

- 2x + 2x + 4y - 4y = - 10 + 10

0 = 0

A. Infinitely many solutions

Answer:

x + y = 23 and y= 2 x + 5

Step-by-step explanation:

The number is 5 more than twice another so 2x + 5 = y

The two numbers have a sum of 23 so x + y = 23.

Answer:

(6, -2)

Step-by-step explanation:

x^2-4x-12=0. 1 from 1x. -4 from -4x

(x - 6)(x + 2) = 0 1 * -12 = -12. -4

x - 6 = 0 -6 * 2 = -12. -6 + 2 = -4

+ 6 +6

x = 6

x + 2 = 0

-2. -2

x = -2