Which is a correct expansion of (4x + 1)(2x2 – 2)?

good lesson udayy...........

Step-by-step explanation:

Answer:

the answer will be 2 to 12

Answer:

2 to 12

Step-by-step explanation:

just did a quiz got it right

Step-by-step explanation:

[tex](2 - 1 \frac{3 {3}^{2} }{?} [/tex]

Answer:

[tex]y=2[/tex]

Step-by-step explanation:

To solve this question, we can use the point-slope formula as we are given points on the line. This is the format:

[tex]y-y_{1} =m(x-x_{1} )[/tex]

The first step is to find the slope by substituting in two of the points. Let's try using (7,2) and (3,2):

[tex]2-2=m(7-3)\\0=4m\\m=0[/tex]

So now we have found that our slope is 0 meaning it is a flat line (shown by the unchanging y values through all three points).

The form for line equations is:

[tex]y=mx+c[/tex]

However, since our m=0, it is simplified to this:

[tex]y=c[/tex]

The y-value for all the points is 2, meaning c=2 (as it is also the y-intercept)

Therefore our final equation is:

[tex]y=2[/tex]

Hope this helped!

Step-by-step explanation:

cot x / (1 + csc x)

Multiply by conjugate:

cot x / (1 + csc x) × (1 − csc x) / (1 − csc x)

Distribute the denominator:

cot x (1 − csc x) / (1 − csc²x)

Use Pythagorean identity:

cot x (1 − csc x) / (-cot²x)

Divide:

(csc x − 1) / cot x

Answer:

C

Step-by-step explanation:

In order to solve these you have to use pemdas, which is the order for which you solve these equations from left to right.

Its, parenthesis, exponents, multiplication, division, addition, subtraction.

when using this strategy it will show that

a=48

b=76

c=91

d=63

Step-by-step explanation:

A = 12.25cm2

P perimeter 14cm

Answer:

A=12.25cm²

P=14

Answer:

Step-by-step explanation:

If you mean √200, you cannot write it as V200.

√200 = √(10²×2) = 10√2

Answer:

B.) 2/10

Step-by-step explanation:

Answer:

1 year

Step-by-step explanation:

Hello,

Continuously compounding with an annual interest rate of 4.5% means multiplying the initial investment by (for t tears).

[tex]\displaystyle e^{(1+4.5\%)t}=e^{\left( 1.045\cdot t \right) }[/tex]

So we need to find t so that:

[tex]\displaystyle e^{\left( 1.045\cdot t \right) }=3\\\\1.0.45t=ln(3)\\\\t=\dfrac{ln(3)}{1.045}=1.051304...[/tex]

Rounding to the nearest whole number gives 1 year.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

25

Step-by-step explanation:

Trust me

Answer:

[tex]Cost = 338500[/tex]

Step-by-step explanation:

Given

Startup = $116000

Cost per item = $25

Equation: 25q + 116000

Required

Determine the cost of producing 8900 items

The question implies that q = 8900

To solve further, we have to substitute 8900 for q in the given equation

Equation = 25q + 116000 becomes

[tex]Cost = 25 * 8900 + 116000[/tex]

[tex]Cost = 222500 + 116000[/tex]

[tex]Cost = 338500[/tex]

Hence, the cost of producing 8900 items is $338500

Answer:

rose. is. 18/2=9 years old

Answer:

Stephanie is 18years old and she is twice older than her sister

so rosa is 18÷2(since stephanie is twice older than rosa

so rosa is 9 years old

Answer:

[tex](f/g)(x) = \frac{x + 5}{3x + 5} [/tex]

Step-by-step explanation:

f(x) = 3x² + 10x - 25

g(x) = 9x² - 25

To find (f/g)(x) divide f(x) by g(x)

That's

[tex](f/g)(x) = \frac{3 {x}^{2} + 10x - 25 }{9 {x}^{2} - 25 } [/tex]

Factorize both the numerator and the denominator

For the numerator

3x² + 10x - 25

3x² + 15x - 5x - 25

3x ( x + 5) - 5( x + 5)

(3x - 5 ) ( x + 5)

For the denominator

9x² - 25

(3x)² - 5²

Using the formula

a² - b² = ( a + b)(a - b)

(3x)² - 5² = (3x + 5)(3x - 5)

So we have

[tex](f/g)(x) = \frac{(3x - 5)(x + 5)}{(3x + 5)(3x - 5)} [/tex]

Simplify

We have the final answer as

[tex](f/g)(x) = \frac{x + 5}{3x + 5} [/tex]

Hope this helps you

9514 1404 393

Answer:

  x = 2 or x = 9

Step-by-step explanation:

To use the quadratic formula, we first need the equation in standard form for a quadratic. We can get there by multiplying the equation by 3(x -3).

  2(3) +4(3(x -3)) = (x +4)(x -3)

  6 +12x -36 = x² +x -12

  x² -11x +18 = 0

Using the quadratic formula to find the solutions, we have ...

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-11)\pm\sqrt{(-11)^2-4(1)(18)}}{2(1)}\\\\x=\dfrac{11\pm\sqrt{49}}{2}=\{2,9\}[/tex]

The solutions are x=2 and x=9.

Complete Questions:

Create an equation with a solution closest to 0 using digits 1 to 9

_x + _ = _x + _

Answer:

See Explanation

Step-by-step explanation:

Given

_x + _ = _x + _

Required

Fill in the gap using 1 to 9 to give a result close to 0

First, you have to determine what kind of numbers that are close to 0;

In this case, I'll work with -0.4 to 0.4 because the number in this range approximate to 0;

Next, is to fill in the gaps using trial by error method

5x + 2 = 2x + 3

Checking the above expression

Collect Like Terms

[tex]5x - 2x = 3 - 2[/tex]

[tex]3x = 1[/tex]

Divide equation by 2

[tex]x = 0.33[/tex] (Approximated)

Another trial is

6x + 8 = 2x + 7

Checking the above expression

Collect Like Terms

[tex]6x - 2x = 7 - 8[/tex]

[tex]4x = -1[/tex]

Divide equation by 4

[tex]x = -0.25[/tex] (Approximated)

I'll stop here but note that, there are more expressions that can fill in the gaps

Answer:

Irrational

Step-by-step explanation:

Any non-zero rational number multiplied by an irrational number will be irrational. We can rewrite this as (8.57... * 5) / 8, but we have no idea how to make 8.57... * 5 rational, or expressed as the quotient of two integers.

Answer: 35 scoops total!

Step-by-step explanation: FIrst, you would add the number of scoops in total which is 3+1+1=5 scoops.

Now you would do 7*5=35

Therefore, Theo uses 35 scoops in all. I hope this helps you!

2 and 3 are the common factor of 24 and 60

Answer:

100 different shoes

Step-by-step explanation:

4 styles * 5 sizes * 5 colors

4*5*5 = 100

Answer:

9x³ + 27x²

Step-by-step explanation:

What the question is asking is to multiply f(x) and g(x) together:

Step 1: Write out expression

(fg)(x) = 3x²(3x + 9)

Step 2: Distribute

(fg)(x) = 9x³ + 27x²

Answer:

[tex]\huge\boxed{Option \ 3 : (fg)(x) = 9x^3+27x^2}[/tex]

Step-by-step explanation:

[tex]f(x) = 3x+9\\g(x) = 3x^2[/tex]

Multiplying both

[tex](fg)(x) = (3x+9)(3x^2)\\(fg)(x) = 9x^3+27x^2[/tex]

Answer:um

Step-by-step explanation:

Answer:

11.1

11.2

11.3

11.4

11.5

11.6

11.7

11.8

11.9

Answer:

[tex]\large \boxed{\sf \bf \ \ f(x)=(x-4i)(x+4i)(x+3)(x-5) \ \ }[/tex]

Step-by-step explanation:

Hello, the Conjugate Roots Theorem states that if a complex number is a zero of real polynomial its conjugate is a zero too. It means that (x-4i)(x+4i) are factors of f(x).

[tex]\text{Meaning that } (x-4i)(x+4i) =x^2-(4i)^2=x^2+16 \text{ is a factor of f(x).}[/tex]

The coefficient of the leading term is 1 and the constant term is -240 = 16 * (-15), so we a re looking for a real number such that.

[tex]f(x)=x^4-2x^3+x^2-32x-240\\\\ =(x^2+16)(x^2+ax-15)\\\\ =x^4+ax^3-15x^2+16x^2+16ax-240[/tex]

We identify the coefficients for the like terms, it comes

a = -2 and 16a = -32 (which is equivalent). So, we can write in [tex]\mathbb{R}[/tex].

[tex]\\f(x)=(x^2+16)(x^2-2x-15)[/tex]

The sum of the zeroes is 2=5-3 and their product is -15=-3*5, so we can factorise by (x-5)(x+3), which gives.

[tex]f(x)=(x^2+16)(x^2-2x-15)\\\\=(x^2+16)(x^2+3x-5x-15)\\\\=(x^2+16)(x(x+3)-5(x+3))\\\\=\boxed{(x^2+16)(x+3)(x-5)}[/tex]

And we can write in [tex]\mathbb{C}[/tex]

[tex]f(x)=\boxed{(x-4i)(x+4i)(x+3)(x-5)}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

655.35

Step-by-step explanation:

got it right on edmentum

Answer:

In a bag of balls, 1/4th are green, 1/8th are blue, 1/12th are yellow and the remaining 26 are white. How many balls are blue?

There are 4 colours of balls - green, blue, yellow and white.

Add (1/4)+(1/8)+(1/12) = (6/24)+(3/24)+(2/24) = 11/24 so the balance or (24–11)/24 = 13/24 = 26 white. Hence the total number of balls are 2*24 = 48.

Of the 48 balls, green are (1/4)*48 = 12, blue are (1/8)*48 = 6, yellow are (1/12)*48 = 4 and the rest, white are 26.

Check: Total number of balls = 12+6+4+26 = 48

Answer: 6 balls are blue....

Answer:

Interquartile range is the distance between the first and third of a data.

Step-by-step explanation:

Hope it will help you :)

Answer:

The diameter that will reward with the largest pizza is 14 in

Step-by-step explanation:

The perimeter of a sector of a circle is:

P = 2r + l

l = rθ

P = 2r + rθ

P=28 inches

28=2r + rθ

28-2r=rθ

θ=(28-2r/r)

=(2*14 - 2*r)/r

=2(14-r)/r

Area of the sector of the circle is:

A = r²/2 * θ

A = r²/2 * 2(14 - r)/r

A = r² * (14 - r)/r

A = r(14 - r)

A = 14r - r²

For the maximum area:

A = 14r - r²

A' = 14 - 2r

Set A' = 0

14 - 2r = 0

14= 2r

r = 7 in

The diameter (D) of the circle is twice of the radius:

D = 2r = 2 * 7= 14 in

The maximum area is:

A = 14r - r²

r = 7 in

A = 14 * 7 - 7²

A = 98 - 49

A = 49 in²

Answer:

Segment LM Corresponds to RQ    

Segment R corresponds to angle M

Answer:

Step-by-step explanation:

six hundred men,six hundred men with big mouths to feed

[tex]\\ \sf\longmapsto \dfrac{-1}{3}+(\dfrac{-3}{8})[/tex]

[tex]\\ \sf\longmapsto \dfrac{-8+(-9)}{24}[/tex]

[tex]\\ \sf\longmapsto \dfrac{-8-9}{24}[/tex]

[tex]\\ \sf\longmapsto \dfrac{-17}{24}[/tex]

-1/3 + -3/8

denominator: -1/3 * 8

             -3/8 * 3

<=>  -8/24 + - 9/24

<=> (-8 + -9)/24

= -17/24

Answer:

I doubt it is not going to be a great

Answer:

  60

Step-by-step explanation:

If the sides of the triangle have lengths a, b, c, the perimeter is their sum:

  P = a + b + c

Any of the side lengths can be found using the distance formula. However, since two of the sides are aligned with the axes, their lengths are easily found by subtracting coordinates.

If the points are labeled A, B, C, in order, then the two right-angle sides are ...

  c = AB = 3 -(-7) = 10

  b = AC = 9 -(-15) = 24

The Pythagorean theorem tells you that you can find the third side from the relation ...

  a² = b² +c²

  a² = 10² +24² = 676

  a = √676 = 26

Now, we can use these values in the formula for the perimeter:

  P = a + b + c = 26 + 24 + 10

  P = 60

The perimeter of the triangle is 60 units.

Answer:

50,000

Step-by-step explanation:

3 is in the ones place so 3

9 is in the tens place (90)

1 is in the hundreds place (100)

3is in the thousands place (3,000