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hoa [83]
3 years ago
15

True or False? For any integer m, 6m(2m + 10) is divisible by 4. Explain

Mathematics
2 answers:
scoray [572]3 years ago
8 0

Answer:

True

Step-by-step explanation:

6m (2m + 10)

= (6m)(2m) + (6m)(10)

= 12m² + 60m

= 4(3m² + 15m)

Because we factored out a "4" in the expression, by observation, we can see that regardless of what value of integer m is chosen, the entire expression is divisible by the "4" which has been factored out of the parentheses. Hence it is True.

Kruka [31]3 years ago
3 0

Answer:

Yes it is!

Step-by-step explanation:

6m(2m+10) / 4

 

= 2(3m)(2)(m+5)/4

 

= 4(3m)(m+5)/4

 

= (3m)(m+5)

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pls help me literally pls help me i need this done before tmr ad i have alot more to do pls help thanks
julsineya [31]

Answer:

y = −3x+7

Step-by-step explanation:

m = slope

slope = change in y / change in x

slope = ▲y/▲x

slope = -3 / 1

slope = -3

y-intersect = (0,7)

The slope-intercept form of linear equation:-  

y = mx + b

where:

m = the slope

b = y-intersect

*we plot the information we have get in the formula

y = mx + b

y = -3x + 7

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8 0
2 years ago
The function H(t) = −16t2 + 60t + 95 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in t
EleoNora [17]
H(t) = -16t² + 60t + 95
g(t) = 20 + 38.7t

h(1) = -16(1²) + 60(1) + 95 = -16 + 60 + 95 = -16 + 155 = 139
h(2) = -16(2²) + 60(2) + 95 = -16(4) + 120 + 95 = -64 + 215 = 151
h(3) = -16(3²) + 60(3) + 95 = -16(9) + 180 + 95 = -144 + 275 = 131
h(4) = -16(4²) + 60(4) + 95 = -16(16) + 240 + 95 = -256 + 335 = 79

g(1) = 20 + 38.7(1) = 20 + 38.7 = 58.7
g(2) = 20 + 38.7(2) = 20 + 77.4 = 97.4
g(3) = 20 + 38.7(3) = 20 + 116.1 = 136.1
g(4) = 20 + 38.7(4) = 20 + 154.8 = 174.8

Between 2 and 3 seconds. 
The range of the 1st object is 151 to 131.
The range of the 2nd object is 97.4 to 136.1

h(t) = g(t) ⇒ 131 = 131

<span>It means that the point where the 2 objects are equal is the point where the 1st object is falling down while the 2nd object is still going up. </span>
5 0
3 years ago
How to solve this?can you help me i no sure
dangina [55]
To find the answer just substitute the values of P and Q into the equation and evaluate following order of operations

7 0
3 years ago
in the lunch room there were 100 chocolate milk cartons at lunch when lunch was over 88 had been purchased
ratelena [41]

Answer:

12 left over 100-88=12

7 0
2 years ago
The police are concerned about speeding on Wayman Boulevard,
Iteru [2.4K]

Answer:

C) 20 Speeders

Step-by-step explanation:

5 divided by 2 is 2.5

there are 2.5 speeders per hour

over the span of 8 hours just multiply

8x2.5=20

5 0
3 years ago
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