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zvonat [6]
3 years ago
10

What is the greatest common factor of 8m^{2}8m

Mathematics
1 answer:
Lorico [155]3 years ago
8 0

Answer:

<h2>2m</h2>

Step-by-step explanation:

Given the functions 8m², 4m and 10m⁴, in order to find the greatest common factor, we will find a factor common to all the functions as shown;

8m² = 2*2*(2*m)*m

4m = 2*(2*m)

10m⁴ = (2*m)*5*m³

from the three expansion, it ca be seen that only 2 and m are common to all the function as shown in parentheses.

The greatest common factor factor will be the product of 2 and m i.e 2*m = 2m

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PLEASE ANSWER CORRECTLY and show your work! I will give brainliest!
Alenkinab [10]

Answer: The new co-ordinates of A ( 2 ,-6)

Step-by-step explanation:

Type of transformation                                change to co-ordinate point

Vertical translation up 'd' units                  (x,y)→(x , y+d)

Vertical translation down 'd' units             (x,y)→(x , y-d)

Horizontal translation right 'c' units           (x,y)→(x+c , y)

Horizontal translation left 'c' units           (x,y)→(x-c , y)

Reflection over x-axis                               (x,y) →(x , -y)

Reflection over y-axis                               (x,y) →(-x , y)

Given the original vertex A ( -2 ,3)

a) First reflection over x-axis  ( -2 ,3) →(-2 , -3)

b) Vertical translation down '3' units  so it changes (-2 , -3)→(-2 , -3-3)

                        (-2,-3)→(-2 ,-6)

and

c) The Horizontal translation right '4' units

now it changes ( -2 ,-6) → (-2+4,-6)→(2 ,-6)

Final answer:-

The new co-ordinates of A ( 2 ,-6)

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2 years ago
Can someone help me please!!
aleksandrvk [35]

Answer:

slope = -5

Step-by-step explanation:

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3 years ago
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Solve for x…..…………………
anzhelika [568]

Answer:

x = 11

Step-by-step explanation:

From the diagram, we find,

(2x - 16) + (x - 8) = 9

=> 2x - 16 + x - 8 = 9

=> 2x + x - 16 - 8 = 9

=> 3x - 24 = 9

=> 3x = 9 + 24

=> 3x = 33

=> x = 33/3

=> x = 11

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2 years ago
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Steve earned $7.40 per hour working his paper route. The first week, he worked 16 hours. After getting paid, he put $105 in the
prisoha [69]

Answer:17

Step-by-step explanation: Multiply Steve’s hourly wage ($7.40) by the hours he worked in a week (16 Hours) that would give you your weekly earnings which would be (7.40x16=$118.40) Then subtract what he saved in the bank from your total (118.40-105=$13.40) then you would divide $13.40 (his leftover money) by $0.75 to find the total number of carnival rides he could ride (13.40/0.75=17.86 rides and because he cannot ride 17 and 86 hundredths of a ride he would be able to ride 17 carnival rides.

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f(x) is a quadratic function with x-intercepts at (−1, 0) and (−3, 0). If the range of f(x) is [−4, [infinity]) and g(x) = 2x^2
iren2701 [21]

Answer with Step-by-step explanation:

We are given that function f(x) which is quadratic function.

x -intercept of function f(x) at (-1,0) and (-3,0)

x-Intercept of f means zeroes of f

x=-1 and x=-3

Range of f =[-4,\infty)

g(x)=2x^2+8x+6=2(x^2+4x+3)

g(x)=0

2(x^2+4x+3)=0

x^2+4x+3=0

x^2+3x+x+3=0

x(x+3)+1(x+3)=0

(x+1)(x+3)=0

x+1=0\implies x=-1

x+3=0\implies x=-3

Therefore, x-intercept of g(x) at (-1,0) and (-3,0).

Substitute x=-2

g(-2)=2(-2)^2+8(-2)+6=8-16+6=-2

g(x)=2(x^2+4x)+6

g(x)=2(x^2+2\times x\times 2+4-4)+6=2(x^2+2\times x\times 2+4)-8+6

g(x)=2(x+2)^2-2

By comparing with the equation of parabola

y=a(x-h)^2+k

Where vertex=(h,k)

We get vertex of g(x)=(-2,-2)

Range of g(x)=[-2,\infty)

Zeroes of f and g are same .

But range of f and g are different.

Range of f contains -3 and -4 but range of g does not contain -3 and -4.

f and g are both quadratic functions.

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3 years ago
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