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Law Incorporation [45]
3 years ago
7

Mary’s thinking of 3 consecutive even integers, X,Y, and Z. 3 times the value of Z exceeds half the value of X by 37. What’s the

value of Z
Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
5 0

Answer: The value of Z is 14

Step-by-step explanation: The numbers are X, Y and Z and they are described as consecutive integers. That means there is a difference of 2 between each number (just like even numbers 2, 4, 6 8...). In other words if the first number is X, the next number would be X+2, while the third one would be X+4, and so on. This means Y would be X+2 and Z would be X+4.

However, 3 times the value of Z (X+4) exceeds half of X (X/2) by 37. This can be expressed as follows;

3(X + 4) = X/2 + 37

3X + 12 = X/2 + 37

3X - X/2 = 37 - 12

(6X - X)/2 = 25

6X - X = 25 * 2

5X = 50

Divide both sides of the equation by 5

X = 10

Therefore, Z (X + 4) equals 10 + 4 which gives you 14

The value of Z = 14

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please help really simpleeeeeeeeeeeee plsssss help really simple i am just checking my awnser pease tell me what would the coord
Furkat [3]

Answer:

P(-1, 0); Q(0, -1); R(2, -1).

Step-by-step explanation:

When you reflect coordinates over the y-axis, the y-coordinates do not change, while the signs of the x-coordinates are flipped. You can see the example attached!

And so, after reflecting P'(1, 0), you would get P(-1, 0) because the sign of the x-value is flipped and the y-value does not change.

Q'(0, -1) becomes Q(0, -1) because 0 is neither negative nor positive, and the y-value does not change.

R'(-2, -1) becomes R(2, -1) because the sign of the x-value is flipped to positive and the y-value does not change.

Hope this helps!

4 0
3 years ago
X is an integer.
vivado [14]

Answer:

*44+44468

Step-by-step explanation:

54+85588255)(5(5))55)5)

6 0
2 years ago
Find the value of x cubed minus 2x squared minus 7x + 5 of x=1/2-√3 ​
Svetach [21]

9514 1404 393

Answer:

  3

Step-by-step explanation:

For f(x) = x^3 -2x^2 -7x +5 and x=1/(2-√3), we have ...

  f(x) = ((x -2)x -7)x +5

and ...

  x = 1/(2-√3) = (2+√3)/(2^2 -3) = 2+√3

Then ...

  f(2+√3) = ((2 +√3 -2)(2 +√3) -7)(2 +√3) +5

  = (3+2√3 -7)(2+√3) +5

  = 2(√3 -2)(√3 +2) +5 = 2(3 -4) +5 = -2 +5

  f(1/(2 -√3)) = 3

_____

If you really mean x = (1/2) -√3, then f(x) = (42√3 -3)/8.

6 0
2 years ago
An astronaut weighs 170 pounds on Earth and 400 pounds on Jupiter. The astronaut captures an alien that weighs 120 pounds on Jup
Svet_ta [14]
B. 51 pounds.
<span>You multiply your weight on Earth (170) and the Alien's weight one Jupiter (120) and divide it by your weight on Jupiter (400).</span>


5 0
3 years ago
Is X-1 a factor of x^5-1?
Musya8 [376]

Answer: No

Explanation:

According to factor theorem, if f(x)=0 then x is a factor of the given function or equation.

As x-1 is a factor

We equate x-1=0

x=1

Substituting in x^5-1, we have 1^5-1 =1-1=0.

Hence, it's a factor.

When coming to x^5+1, it would become 1^5+1=1+1=2

So x-1 isn't a factor of x^5+1.

4 0
2 years ago
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