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ANTONII [103]
3 years ago
7

Jack and Jim are playing tug of war. The ribbon at point B is tied at the midpoint of the rope.

Mathematics
1 answer:
erastova [34]3 years ago
7 0

Answer:

yes

Step-by-step explanation:

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If f(x) = 2х2 +1 and g(x) = х2 -7, find (f-g)(x).
Nookie1986 [14]

Option A

If  f(x) = 2x^2 + 1 and g(x) = x^2 - 7 then (f - g)(x) = x^2 + 8

<em><u>Solution:</u></em>

Given that f(x) = 2x^2 + 1 and g(x) = x^2 - 7

To find: (f - g)(x)

We know that,

(f – g)(x) = f (x) - g(x)

Let us substitute the given values of f(x) and g(x) in above formula,

(f - g)(x) = 2x^2 + 1 - (x^2 - 7)

For solving the brackets in above expression,

There are two simple rules to remember:

When you multiply a negative number by a positive number then the product is always negative.

When you multiply two negative numbers or two positive numbers then the product is always positive.

So the expression becomes,

(f - g)(x) = 2x^2 + 1 -x^2 + 7

Combining the like terms,

(f - g)(x) = 2x^2 - x^2 + 1 + 7\\\\(f - g)(x) = x^2 + 8

Thus option A is correct

8 0
2 years ago
At an airpor, it costs $7 to park for up to one hour and $5 per hour for each additional hour. Let x respresent the number of ho
IrinaVladis [17]

Answer: C(x) = 5x + 7

3 0
2 years ago
Ana has $500 to spend on shopping for her trip. She spends her money on the following: $120 on swimsuits$50 on towels$100 on clo
shtirl [24]
295 she spent
y dollars she can spend on other expanses
then 295+x+y=500
implies x+y=205

4 0
3 years ago
What is the Volume of the shape below?
Leona [35]

Answer:

v=720m^3

Step-by-step explanation:

v=lwh

volume=length x width x height

v=15 x 8 x 6

v=720m^3

hope this helps :)

5 0
2 years ago
Read 2 more answers
Laura has a step of 50cm She walks along by taking two steps forward and one step back. What is the least number of steps counti
Vilka [71]

Answer:

The least number of steps she takes to reach 20 m is 118 steps

Step-by-step explanation:

For Laura, the length of a walking step = 50 cm = 0.5 m

The repeating number of steps she takes = Two steps forward one step backwards

The number of forward steps it would take for her to reach 20 m = (20 m)/(0.5 m) = 40 steps

Given that she always takes two steps forward and one step backwards, we have;

The number of steps forward every three steps = 2 step forward + (-1) step (backward)

The number of steps forward every three steps = 2 - 1 = 1 step forward

To reach 39 steps forward, she would need 39 × 3 =  117 steps

To get to the 40 steps she needs just a step forward, making the total number of steps to reach 40 steps = 117 + 1 = 118 steps

Therefore, the least number of steps she takes to reach 20 m = 118 steps.

3 0
3 years ago
Read 2 more answers
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