What is the greatest common factor of the polynomial below?
16x^2-12x
A. 4x
B. 4x^2
C. 8x^2
D. 8x

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The attachment lists points on each graph.

a) The equation for a horizontal line is ...

  y = constant

Here, the output value is always 5, so that is the constant in the equation:

  y = 5

__

b) The graph is a straight line through the origin, so the equation is that of a proportion:

  y = kx . . . . . for some constant of proportionality k

Using the point (x, y) = (-4, 2), we can find k from ...

  k = y/x = 2/(-4) = -1/2

The equation of the line is ...

  y = -1/2x

__

c) The graph has a rise of 3 units for each run of 1 unit, so the slope is ...

  m = rise/run = 3/1 = 3

The y-intercept (where the line crosses the y-axis) is b = -2. Then the slope-intercept form of the equation is ...

  y = mx + b . . . . . for slope m and y-intercept b

  y = 3x - 2

_____

You can check that the equation is satisfied by each of the points listed. For example, ...

  a) in = -4, out = y = 5 . . . matches table

  b) in = 2, out = y = -1/2(2) = -1 . . . matches table

  c) in = 1, out = y = 3(1) -2 = 1 . . . matches table

(You can check the other table values.)

Answer:

13

Step-by-step explanation:

I'm just here for da points can I still get brainliitest?

Answer:

r=d/t

r=360 cm / 9 sec= 40 cm per second

Hope that helps :)

Answer:

40 centimeters per second.

Step-by-step explanation:

360 divided by 9= 40

ChIcKeN nUgGeTs :>

Answer:

Step-by-step explanation:

.

Answer: There are 4 male goats.

Step-by-step explanation:

We know that n of the 10 goats are male.

The probability that in a random selection, the selected goat is a male, is equal to the quotient between the number of male goats (n) and the total number of goats (10)

The probability is;

p = n/10

Now the total number of goats is 9, and the number of male goats is n -1

then the probability of selecting a male goat again is:

q = (n-1)/9

The joint probability (the probability that the two selected goats are male) is equal to the product of the individual probabilities, this is

P = p*q = (n/10)*((n-1)/9)

And we know that this probability is equal to 2/15

Then we have:

(n/10)*((n-1)/9) = 2/15

(n*(n-1))/90 = 2/15

n*(n-1) = 90*2/15 = 12

n^2 - n = 12

n^2 - n - 12  = 0

This is a quadratic equation, we can find the solutions if we use Bhaskara's formula:

For an equation:

a*x^2  + b*x + c =  0

The two solutions are given by:

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

For our case, the solutions will be:

[tex]n = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-12)} }{2*1 } = \frac{1+- 7}{2}[/tex]

The two solutions are:

n = (1 - 7)/2 = -3    (this solution does not make sense, we can not have a negative number of goats)

The other solution is:

n = (1 + 7)/2 = 4

This solution does make sense, this means that we have 4 male goats.

Answer:

The answer is 32/75

Step-by-step explanation:

Hope this helps,

have a great day,

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Answer:

[tex]\mathtt{\huge\star{\pink{\underline{ option\: D }}}}\huge\star[/tex]

Answer:

1) given

2) alternate interior angles

3) given

4) definition of midpoint

5) vertical angles

6) ASA

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

The question has missing details, as the diagram of the prism is not shown.

However, I'll solve using a general rule.

The volume of a triangular prism is:

[tex]Volume = \frac{1}{2}* b * h * l[/tex]

Where

[tex]b = base[/tex]

[tex]h = height[/tex]

[tex]l = length[/tex]

Take for instance:

[tex]b = 20cm[/tex]

[tex]h = 10cm[/tex]

[tex]l = 5cm[/tex]

The volume is:

[tex]Volume = \frac{1}{2} * 20cm * 10cm * 5cm[/tex]

[tex]Volume = 10cm * 10cm * 5cm[/tex]

[tex]Volume = 500cm^3[/tex]

Another instance (see attachment).

From the attachment:

[tex]b = 4.5cm[/tex]

[tex]h = 5cm[/tex]

[tex]l = 8cm[/tex]

The volume is:

[tex]Volume = \frac{1}{2} * 4.5cm * 5cm * 8cm[/tex]

[tex]Volume = 2.25cm * 5cm * 8cm[/tex]

[tex]Volume = 90cm^3[/tex]

216cm^2

Volume of cube= 216 ft^3

l^3= 216

l= Cube root of 216

l= 6

SA=6*l^2

=6*6*6

=216 cm^2

Answer:

Z

Step-by-step explanation:

[tex]6=\frac{m}{8}\\x=48[/tex]

Answer:

64

Step-by-step explanation:

960 divided by 15 is 64. The unit rate means one so you are trying to get it to 1 second so just do 15 divided by 15 which is 1, then 960 divided by 15 which is 64

Answer:

B) y=3 (x+3) -2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

Total cost= $760

Step-by-step explanation:

Giving the following information:

Number of students= 347

Each bus holds 44 students.

Bus cost= $95

First, we need to determine the number of buses needed:

Number of buses= total students / student per bus

Number of buses= 347 / 44

Number of buses= 7.88 = 8 buses

Now, the total cost:

Total cost= 8*95

Total cost= $760

Answer:

A. 4/ 3

Step-by-step explanation:

With reference angle X

perpendicular (p) = 24

base (b) = 18

Now

tan X = p / b = 24 / 18 = 4 / 3

Answer:

The answer is 5.

Step-by-step explanation:

The distance formula is ↷

[tex] d\sqrt{(x_2 - x_1)^{2}+ (y_2 - y_1)^{2} } [/tex]

All we got to to do right now is plug in!

[tex] d = \sqrt{(x_2 - x_1)^{2}+ (y_2 - y_1)^{2} } \\ d = \sqrt{(3 - 3)^{2} + (9 - 4)^{2} } \\ d = \sqrt{(0)^{2} + (5)^{2} } \\ d = \sqrt{0 + 25} \\ d = \sqrt{25} \\ d = \sqrt{5} [/tex]

Therefore, the distance between 3,4 and 3,9 is 5.

Answer:

B

Step-by-step explanation:

Just test two coordinates. Just do y2-y1/x2-x1. 60-80/20-10 = -20/10 = -2

Answer: UMMMM I don't see a screenshot

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. It is not possible for a triangle to have more than one vertex with internal angle greater than or equal to 90°, or it would no longer be a triangle. 2. The interior angles of a triangle always add up to 180° while the exterior angles of a triangle are equal to the sum of the two interior angles that are not adjacent to it. Another way to calculate the exterior angle of a triangle is to subtract the angle of the vertex of interest from 180°. 3. The sum of the lengths of any two sides of a...

Answer:

482

Step-by-step explanation:

3x-5=178+12=82-22x=482

9514 1404 393

Answer:

  18 square units

Step-by-step explanation:

Referring to the figure, we see that the base AB has a slope of 1, and the altitude CD has a slope of -1. The number of unit squares crossed by these segments are, respectively 6 and 3, so the length of each is ...

  AB = 6√2

  CD =3√2

The area is half the product of the base (AB) and height (CD) so is ...

  A = 1/2bh = (1/2)(6√2)(3√2) = 18

The area of ΔABC is 18 square units.

_____

Additional comment

It is useful to remember that the diagonal of a unit square is √2. We used that fact here. If you need to figure it using the Pythagorean theorem, you find ...

  c² = a² +b²

  c = 1² +1² = 2

  c = √2

Answer:

B: 18 square units

Step-by-step explanation:

I'm taking the exam

Answer:

x= - 23/4

Step-by-step explanation:

Add  9  to both sides of the equation:

3x -9 = 7x +14

3x- 9 + 9 = 7x +14 +9

Simplify:

3x -9 + 9 = 7x +14 +9

3x = 7x +14 +9

3x =7x +14 +9

Subtract 7x from both sides of the equation:

3x= 7x +23

3x -7x = 7x +23 - 7x

Simplify Again:

3x -7x = 7x +23 -7x

-4x =23

Combine like terms:

-4x =23

Divide both sides of the equation by the same terms:

14x/ 14  = 23/ -4

Cancel terms that are both the numerator and the denominator:

x= - 23/- 4

Answer:

x= - 23/4

Answer:

the answer is 45 minutes, hope this helped :-)

Step-by-step explanation:

18:3=6

270:6=45

Answer:they spent 15 minutes in the shower

Step-by-step explanation:

Answer:

I'm not even lying, it's none of them ;-;

btw if you want, can you give me brainliest :((

Answer:

4

Step-by-step explanation:

16^(1/2)

when bringing a number to the power of a fraction the denominator becomes the order of the root and the numerator becomes the power of the number

we are left with an order 2 root, which is a square root

[tex]16^\frac{1}{2}=\sqrt[2]{16}=4[/tex]

Answer:

6

Step-by-step explanation:

We can rewrite the expression as

(6^4) ^ (1/4)

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

6^4 ^ (1/4)

6 ^ ( 4*1/4)

6

Answer:

6

Step-by-step explanation:

[tex] \sqrt[4]{ {6}^{4} } [/tex]

The 4 root and the 4 exponent cancel out as these two are inverse variables, then we are left with our answer

[tex]6[/tex]