Find the greatest common factor of 15x 2 y 3 and -18x 3 yz.

Answers

Answer 1

Answer:

Answer:

Greatest common factor of $15x^2y^3$ and $-18x^3yz$ is $3x^2y$

Step-by-step explanation:

Greatest common factor is the common factor for two or more numbers such that greatest common factor divides both the number.

We find Greatest common factor by

doing prime factorization and then

taking common factors from all the factors and

if they do not have nay term common then Greatest common factor is 1.

Given Numbers are $15x^2y^3$ and $-18x^3yz$

First we do prime factorization of $15x^2y^3$ .

15 can be written as product of prime 3 and 5, so

$15x^2y^3=3 * 5 * x* x * y * y * y$

and Similarly, $-18x^3yz$ can be written as,

$-18x^3yz=-3 * 3* 2 * x* x * x* y* z$

Thus, taking common from both the terms,we get,

Greatest common factor as $3x^2y$

Answer 2

Answer: Multiply the GCF of the numerical part 3 and the GCF of the variable part x^2y to get
3x^2y.

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12q+-8=16q I need help quick!!!!
A 3 1/2(mixed number 3 and 1/2) pound container of tomatoes is used tomake salsa. How many containers of salsa can be made if onecontainer uses 2/3 a pound of tomatoes?(The picture has the answers)

Posie plotted 3 points from the equation y = 2x on this coordinate grid. She drew a straight line through the points. Which ordered pair would also be on this line?

A.
(0, +2)

B.
(+8, +10)

C.
(+8, +16)

D.
(+4, +2)

Answers

Hello,
if x=8 then y=2x=2*8=16
Answer C

Answer:

Step-by-step explanation:

did on edg

Which is the standard form of the equation of a parabola with a focus of (8, 0) and directrix x = –8?

Answers

with a parabola that faces left or right it is
(y-k)²=4p(x-h)

p is distance from directix to vertex which is also the distance from vertex to focus

if it opens to the right, then p is positive
if it opens to the left, then p is negative

so we know that directix is-8 and focus is (8,0)
directix is behind the parabola
so therfor the parabola opens to the right
distance from x=-8 to (8,0) is 16 units
16/2=8
p=8

vertex is 8 units to right of directix or 8 units to the left of focus
(8,0) is focus so vertex is (0,0)

(h,k) is vertex
(y-k)²=4p(x-h)
(y-0)²=4(16)(x-0)
y²=64x

Answer:

If your on e2020, its C

Step-by-step explanation:

y^2=32x, the work above is correct but they forgot to take the square away in the final answer. hope this helps!

Which measurement is most accurate to describe the weight of a quarter?630 g
63 mg
6.3 g
0.63 kg

Answers

Answer: 6.3 g

Step-by-step explanation:

First, we need to put every mesure into the same unit. Let's put all into grams.

- kg would be too heavy for a quarter (consider that we use kg to weight people, for example)

- mg is too light (consider that we use mg to weight pills, for example)

We know that

1 kg = 1000 g

1 g = 1000 mg

630 g = 630 g

63 mg = 63/1000 = 0.063 g

6.3 g = 6.3 g

0.63 kg = 0.63*1000 = 630 g

The most suitable answer for a quarter is 6.3g, because 630 g would be too heavy and 0.063 g would be too light.

63 mg it is the smallest measurement listed.

Which statement describes the graph of the system of equations below?1.5x + 0.2y = 2.68

1.6x + 0.3y = 2.98

The lines are parallel.

The lines overlap at all points.

The lines intersect at (1.6,1.4).

The lines intersect at (3.1,0.5).

Answers

In order to see the behavior of the line formed from the equations, we write the given equation in general form which is y=mx+b

1.5x + 0.2y = 2.68 --> y= -7.5x + 13.4

1.6x + 0.3y = 2.98 --> y= -5.33x + 9.93

They definitely are not parallel lines and do not overlap at all points. Plotting the equations in a graph, an intersection is observed. This intersection most likely is the third option. The lines at (1.6, 1.4).

Answer

taskmasters

In order to see the behavior of the line formed from the equations, we write the given equation in general form which is y=mx+b

1.5x + 0.2y = 2.68 --> y= -7.5x + 13.4

1.6x + 0.3y = 2.98 --> y= -5.33x + 9.93

They definitely are not parallel lines and do not overlap at all p

Solve for N.
-7 + N = 20

Answers

add 7 to both sides.
-7+N=20
+7 +7
N=27
answer= 27
hope it helps.......

You would have to add 7 on both sides, cancelling the -7 on the side of the N and adding 7
To the 20 to get N=27

CANT GET WRONGJason is training for a marathon bike ride. His average speed increased from 3 miles per hour to 6 miles per hour in 3 months. Find the rate of change in the miles per hour that Jason bikes. A) .5 mile per hour per month B) 1 mile per hour per month C) 2 miles per hour per month D) 3 miles per hour per month

Answers

Answer: The correct option is (B) 1 mile per hour per month.

Step-by-step explanation: Given that Jason is training for a marathon bike ride. His average speed increased from 3 miles per hour to 6 miles per hour in 3 months.

We are to find the rate of change in the miles per hour that Jason bikes.

We know that

the average rate of change between the points (a, b) and (c, d) is given by

$A_r=(d-b)/(c-a).$