What is the factorization of the trinomial below?

3x^3 + 6x^2 - 24x

A. 3x(x - 2)(x + 4)

B. 3x(x - 2)(x - 4)

C. 3(x - 2)(x + 4)

D. 3(x^2 - 2)(x + 4)

Answer:

35.5 is the average of 34 and 37

Step-by-step explanation:

Answer:

-35.5

Step-by-step explanation:

-34 + -37 = -71

-71/2 = -35.5

I hope this helps!

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$1000\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ t=years\dotfill &5 \end{cases} \\\\\\ I = (1000)(0.035)(5)\implies I=175[/tex]

Answer:

168

Step-by-step explanation:

area of a trapezoid is

((a+b)/2)*h

((8+16)/2)*14

12*14 =

168

Answer:

  260

Step-by-step explanation:

The relationship between the number of standard versions and the total download can be written as ...

  2.3n +4.5(2n) = 2938 . . . . . twice as many high-quality songs (2n)

  11.3n = 2938 . . . . . . . . . simplify

  n = 2938/11.3 = 260 . . . divide by the coefficient of n

There were 260 downloads of the standard version.

Answer:

y= -x-3

Step-by-step explanation:

Answer:

$3,250

Step-by-step explanation:

Find the perimeter of the yard ( the distance around the yard).

A rectangle has two sides of each dimension.

The perimeter is 20 + 20 + 45 + 45 = 130 feet.

Now multiply the total feet by the cost per foot:

130 feet x 25 per foot = $3,250 total.

Answer:

Disagree

Step-by-step explanation:

because it looks like less than 45

Answer:

Option D

Step-by-step explanation:

Given the following question:

[tex](7^5)^3[/tex]

To find the answer we simply have to apply the exponent rule and multiply the exponents.

[tex](7^5)^3[/tex]
[tex](a^b)^c=a^{bc}[/tex]
[tex]5\times3=15[/tex]
[tex]=7^{15}[/tex]

Your answer is "7^15" or option D.

Hope this helps.

Answer:

7^15

Step-by-step explanation:

We know that a^b^c = a^(b*c)

7^5^3

7^(5*3)

7^15

Step-by-step explanation:

Let w = width and h = height. Then we have

w = 3*h - 17

and

4*w + h = 30 (4 shelves and 1 sides).

Plug in the first equation into the second and solve for h:

4*(3*h - 12) + h = 30

12*h - 48 + h = 30

13*h = 78

h = 78/13

h = 6

Plug that in the first equation to find w = 3*6 - 17 = 1

So width = 1 feet.

height = 6 feet

Answer: Any number smaller than 6

3k - 6 < 12

(Add six to both sides)

= 3k < 18

(Divide by 3 on both sides)

= k < 6

Also a side note that may be helpful in other similar problems: If you are dividing or multiplying by a negative number you have to flip the inequality sign.

Answer:

B

Step-by-step explanation:

62x4=248

4x2=8

6x4=24 and carry the 0 and get 240

240+8=248 and you get B

Answer:

a) J':(-7,7) K':(-5,2) L':(-2,3)

b) The x coordinates remained the same, the y coordinates swapped from negative to positive.

Step-by-step explanation:

Aside: I'm using J', K', and L' to denote the new locations of J,K,L after the reflection.

When an object is reflected over the x-axis, it means it's positive points will flip to negative y space, and negative points will flip to positive y space.

That said, J, for instance, will have the same X-coordinate, but its Y-coordinate will flip from negative to positive. Doing this with every vertex mirrors the triangle over the X-axis.

Therefore, J:(-7,-7) will become J':(-7,7), and likewise with K and L becoming K':(-5,2) and L':(-2,3).

Answer:

Step-by-step explanation:

Answer:

9 8/9

Step-by-step explanation:

Answer:

36 cm^3

Step-by-step explanation:

Because you need to multiply 12x3 giving you 36.

Answer:

its a

Step-by-step explanation:

i took the test

Answer:

Ans:25%

Step-by-step explanation:

In what rate of interest Rs 4000 amounts to Rs 6000 in 2 years? Ans:25%

Answer:

D) 5

Step-by-step explanation:

5 is the rise. x or 1 is the run. (0,3) is the start location.

Answer:

of 34.576:

34.576 = (3 * 101) + (4 * 100) + (5 * 1/101) + (7 * 1/102) + (6 * 1/103)

34.576 = (3 * 10) + (4 * 1) + (5 * 1/10) + (7 * 1/100) + (6 * 1/1,000)

34.576 = 30 + 4 + 5/10 + 7/100 + 6/1,000

34.576 = 30 + 4 + 0.5 + 0.07 + 0.006

Step-by-step explanation:

That is 34.576 in expanded form, so know you can know which is correct

Based on the information given the chocolates stated on the label is 0.0042-ounce lighter.

Weight:

Using this formula

Chocolate weight=Current weight-Actual weight

Where:

Current weight=0.384

Actual weight=0.3798

Let plug in the formula

Chocolate weight=0.384-0.3798

Chocolate weight=0.0042 ounce

In conclusion, the chocolates stated on the label are 0.0042-ounce lighter.

Answer:

1/2 in/hr

Step-by-step explanation:

2 in / 4h   =   1/2 inch per hour

Answer: 11A+8B

Step-by-step explanation:

Answer:

1 yard = 3 feet: 3.25 yards x 3 feet per yard = 9.75 feet. 1 foot = 12 inches: 9.75 feet x 12 inches per foot = 117 inches.

Step-by-step explanation:

1 yard = 3 feet: 3.25 yards x 3 feet per yard = 9.75 feet. 1 foot = 12 inches: 9.75 feet x 12 inches per foot = 117 inches.

Answer:

unfortunately one person will be without a bracelet

Answer:

A 67 inches is the correct answer

[tex]\text{Given that,}\\\\\text{Area of the rectangle,}~ A = 344 ~ in^2\\\\\text{Width of the rectangle,}~w = 16 ~ in\\\\\text{Length of the rectangle,}~ l=?\\\\~~~~~~A = l \times w \\\\\implies l= \dfrac{A}w =\dfrac{344}{16}=21.5 ~in\\\\\text{Perimeter of the rectangle} = 2(l+w) = 2(21.5+16)=75~ in[/tex]

Answer:

2.8 Miles

Step-by-step explanation:

If 7m is 60mins

How many miles is 24 mins

solution:

take unknown miles to be 'x'

7m=60mins

Xm=24mins

cross multiply

7×24/60=2.8m

x=2.8miles

Step-by-step explanation:

no, the answer is definitely NOT 4⁴.

4² is smaller than 4⁶, right ?

so, 4²/4⁶ must be smaller than 1.

remember, what we do with exponents when we multiply terms ? we add the exponents.

like 4²×4⁶ = 4⁸

and when we divide terms ? we subtract the exponents.

4²/4⁶ =

[tex] {4}^{ - 4} [/tex]

because 2 - 6 = -4

Answer:

a. -2x^2 + 3x+5=y

b.-x^2 +5x-4=y

c.-x^2 +6x-12=y

Step-by-step explanation:

a.y=-2x^2 +bx+c

the points P and Q lie on curve

[tex]\left \{ {{-b+c=2} \atop {b+c=8}} \right.[/tex]

=> b=3, c=5

b. delta = b^2 +4c

x1= [tex]\frac{-b+\sqrt{b^{2}+4c } }{-2}[/tex] =4

=> [tex]b-\sqrt{4c+b^{2} }[/tex]=8

x2=[tex]\frac{-b-\sqrt{b^{2}+4c } }{-2}[/tex]=1

=>2=b+[tex]\sqrt{b^{2}+4c }[/tex]

suppose : [tex]\sqrt{b^{2}+4c }[/tex] = a

=> [tex]\left \{ {{a+b=2} \atop {-a+b=8}} \right.[/tex]

=> a=-3

b=5

a=-3 =>  [tex]\sqrt{b^{2}+4c }[/tex] =-3 => b^2 +4c =9 =>5^2 +4c=9 => c=-4.

c.vertex (3;-3)

[tex]\frac{-b}{-2}[/tex]=3 => b =6

[tex]\frac{-D}{4a}[/tex]=[tex]\frac{-b^{2}+4ac}{-4}[/tex] =-3 =>-b^2+4ac=12 => c=-12.

Hey there!

Here's what happens to the coordinates of a point when it's reflected around the x-axis:

(x, y) --> (x, -y) or (x, -y) --> (x, y)

So the point's x-coordinate hasn't changed.

Here's what happens to the coordinates of a point when it's reflected around the y-axis:

(x, y)--> (-x, y) or (-x, y) --> (x, y)

So the point's y-coordinate hasn't changed.

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

Answer:

10,000

Step-by-step explanation:

if it's including the teacher then it should be 10,000