Which expression is the result of factoring the expression below by taking out its greatest common factor?
4x^2+16x-4=?
Choose 1 answer:
A. 2x(2x^2+8x−2)
B. 2(2x^2+8x−2)
C. 4x(x^2+4x−1)
D. 4(x^2+4x−1)

Answer:

The x-intercepts are (0, 0) and (2, 0)

Step-by-step explanation:

The function is y = 16x - 8x^2.

To find the x-intercepts, we set this function equal to zero (0) and solve the resulting equation for x:

16x - 8x^2 = 8x(2 - x) = 0.

Then 8x = 0 yields x = 0 and 2 - x = 0 yields x = 2

The x-intercepts are (0, 0) and (2, 0)

Answer:

B)  1/5

Step-by-step explanation:

P(R then Y) = 3/6 · 2/5 = 6/30 or 1/5 simplified

Answer:

Mass of piece of marble  = 0.27 kilogram

Step-by-step explanation:

Given:

Dimensions of cuboid = 1 x 0.2 x 0.5

Density of marble = 2.7

Find:

Mass of piece of marble

Computation:

Volume of cuboid = (l)(b)(h)

Volume of marble = 1 x 0.2 x 0.5

Volume of marble = 0.1

Mass = Density x Volume

Mass of piece of marble  = Density of marble x Volume of marble

Mass of piece of marble  = 2.7 x 0.1

Mass of piece of marble  = 0.27 kilogram

Answer: [tex]1.663\times 10^{30}\ gm[/tex]

Step-by-step explanation:

Given

Population of dust particle doubles every 30 minutes

If the initial sample is 21 grams

The model to predict the population will be

[tex]\Rightarrow P=21\cdot 2^{2t}[/tex]

Where t=time in hours

A day has 24 hours . So, for 2 days time is 48 hours

Population is given by

[tex]\Rightarrow P=21\cdot 2^{2\times 48}\\\\\Rightarrow P=21\times 2^{96}\\\\\Rightarrow P=1.663\times 10^{30}\ gm[/tex]

Answer:

if you are looking to solve for x the answer is

[tex] \frac{1}{8}[/tex]

Step-by-step explanation:

first you need to gather all the variables (x) to one side of the equation so take right hand side:

2x + 6x = 4 - 3

remember to watch out for the sign changes. then:

[tex]8x = 1[/tex]

therefore

[tex]x = \frac{1}{8}[/tex]

Answer:

So , 41 years ago, Mothers age is 3 times of Sally's age. When Sally's age was 13 , and her mom age was 39 (

Answer:

commutative property

Step-by-step explanation:

It's basically just changing the order of the equation.

Answer:

2.0

Step-by-step explanation:

Couldn't really understnd what you wrote but I'll assume it's the standard deviation of a fair, 7-sided die

The standard deviation is just the square root of the variance (which is just the second moment minus the first moment squared)

The first moment (AKA the average is..)

[tex]\frac{1+2+3+4+5+6+7}{7}=4[/tex]

The second moment is..

[tex]\frac{1^2+2^2+3^2+4^2+5^2+6^2+7^2}{7}=20[/tex]

[tex]\sqrt{20-4^2}=2[/tex]

Answer:

Top box: Endpoint

Bottom box: Ray

Step-by-step explanation:

Assuming that the top box is supposed to be for the point shared by both rays, then it is a endpoint of the rays, as the lines do not continue past the point on the opposite side.

The bottom box will then be a ray, as no point is shown, and a arrow is used at the "end" of the line to signify that it will continue on forever.

~

Answer:

lemon juice : parts sugar

3 :2

? :3

3/2 × 3 = 4,5 cups of lemon

Answer:

4.5

Step-by-step explanation:

the ratio of lemon juice to parts sugar is 3:2.  to convert into cups, it turns into ?:3. to turn 2 into 3, you multiply by 1.5, so you have to do the same to 3, to get 4.5, 3:2 is equal to 4.5:3 so kelly would have to use 4.5 cups of lemon juice.

Answer:

The 11th check

Step-by-step explanation:

Answer:

The triangles are congruent by congruency theorem SAS.

Step-by-step explanation:

Side-Angle-Side, as it suggests, is when a triangle is congruent by the order of congruent side, congruent angle, and another congruent side. If named certain ways, they can be congruent. Since the question does not provide a specific way of naming the triangles, we can assume that any way is allowed. 2.5 and 2.5 are congruent, followed by angles D and G which have the congruent angle markers. The congruent angles are followed by 1.7 and 1.7, making the triangles congruent by Side-Angle-Side.

9514 1404 393

Answer:

  A = 27

  B = 81

Step-by-step explanation:

Fill in the x-value and do the arithmetic.

  a = 3^3 = 27

  b = 3^4 = 81

Given ,

5<x<10 and 8<y<19

For y-x,

8-5<y-x<19-10

3<y-x<9

Answer:

The value of [tex]f\,\circ\,g(-8)[/tex] is 16.

Step-by-step explanation:

The composition consist: in replacing the independent variable ([tex]x[/tex]) of [tex]f(x)[/tex] by [tex]g(x)[/tex]:

[tex]f(x) = x^{2}-3\cdot x -12[/tex] (1)

[tex]g(x) = -x-12[/tex] (2)

[tex]f\,\circ\,g (x) = (-x-12)^{2} - 3\cdot (-x-12) -12[/tex] (3)

[tex]f\,\circ\,g(x) = (x^{2}+24\cdot x + 144) +(3\cdot x +36) - 12[/tex]

[tex]f\,\circ\,g(x) = x^{2} +27\cdot x +168[/tex]

[tex]f\,\circ g(-8) = (-8)^{2}+27\cdot (-8) +168[/tex]

[tex]f\,\circ\,g(-8) = 16[/tex]

The value of [tex]f\,\circ\,g(-8)[/tex] is 16.

the answer is d hopes this helps you

Answer:

A) 4/7 feet

B) 4/7 x 15 = 60/7 or [tex]8\frac{4}{7}[/tex]

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

Explanation:

Use the pythagorean theorem

a^2+b^2 = c^2

to find that c = 13 when a = 12 and b = 5.

So that makes the hypotenuse MO = 13 units long.

The opposite side is MN = 12 units long as this side is furthest we can get from angle O.

The sine ratio involves opposite over hypotenuse

sin(angle) = opposite/hypotenuse

sin(O) = MN/MO

sin(O) = 12/13

Answer:

C.    12/13

Step-by-step explanation:

a² + b² = c²

5² + 12² = c²

25 + 144 = c²

169 =  c²

c = 13

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

sin = opp/hyp

sinO = 12/13

x=6

y=9

Hope it helps you...

Answer:

XY (height) is approximately 20.8 feet

Step-by-step explanation:

let h = XY

tan60° = h/12

h = 12·tan60°

h = 20.78 ft

Answer:

Step-by-step explanation:

First, put them in order.

5.3x+3.6x+9.8-8.14

Add 5.3x and 3.6x

8.9x

Subtract 8.14 from 9.8

1.66

Answer:

4.5yards and 6 yards is your rectangle measurement

Answer:

I found: y=−3x+12

Explanation:

You can use the relationship:

y−y0=m(x−x0)

Where m is the slope and x0,y0 the coordinates of your point.

So with your data:

y−6=−3(x−2)

y=−3x+6+6

y=−3x+12

or:

3x+y=12

Answer:

[tex]m(x) = - 3x - 3[/tex]

Step-by-step explanation:

[tex]m(x) = f(x) - g(x)[/tex]

[tex]m(x) = (2x+1)−(5x+4)[/tex]

[tex]m(x) = 2x+1−(5x)−1 \times 4[/tex]

[tex]m(x) = 2x+1−5x−1 \times 4[/tex]

[tex]m(x) = 2x+1−5x−4[/tex]

[tex]m(x) = −3x+1−4[/tex]

[tex]m(x) = −3x−3[/tex]

Answer:

17.

[tex] 7 \times {10}^{ - 6} [/tex]

18. 8 sides (and 8 corners)

19. the chance is 50% or 0.5, and yes, both colors have the same chance.

20. on a coordinate grid make a point at x=1 and y=5. and then simply draw a line through that point.

Step-by-step explanation:

17. the defining digit is 7. and it is at the the 6th position after the decimal point. that is how you write this.

18. the more corners or sides a polygon has, the closer it gets to a circle. that means that the outside angles always add up to 360 degrees.

so, with the inside angles being 135 degrees, the outside angles are 180-135 = 45 degrees.

his many such outside angles can we add together until we reach 360 degrees ?

360/45 = 8 (just imagine : 2×45 = 90, and 90×4 = 360)

so, this polygon has 8 corners and therefore 8 sides.

19. 12 balls are in the bag. the chance for a single ball to be pulled is therefore 1/12.

but there are 6 red balls. we don't care which specific ball we pull, as long as it's red. so, we have 6/12 chances to achieve that.

and yes, for exactly the same reason, black balls have the same chance.

(2x^2)^3

Step 1: Rewrite (to help understand the problem)

(2x^2) * (2x^2) * (2x^2)

Step 2: Distribute (going back to the original problem)

(2^3) * (x^2)^3

Step 3: Simplify

8 * x^6 || Remember that we multiply exponents in this case!

Answer: 8x^6

Hope this helps!! :)