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Vlada [557]
3 years ago
15

The sum of a positive number and 22 is 455 times the reciprocal of the number find the number

Mathematics
1 answer:
dalvyx [7]3 years ago
3 0

Answer:

13

Step-by-step explanation:

Let the number be x.

ATQ x+22=455/x. x^2+22x=455. x=-35 or 13. Since x is positive, x=13

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Jeremy, Sue, and Holly are siblings. Sue was born three years before Holly, and Jeremy was born five years before Sue. The produ
KIM [24]

Answer:

D is the correct answer

Step-by-step explanation:

Let the age of Holly is x years. Now from the statements of the question we will form the equations.

Sue was born three years before Holly.

Sue = Holly + 3 = x + 3------(1)

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From equation (1)

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Now statement says the product of Sue's age and Jeremy's age is at most 150.

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Therefore inequality x² + 11x + 24 ≤ 150 can be used to find the age of each sibling.

HAVE AN AMAZING DAY, GLAD TO HELP. ^.^

4 0
3 years ago
Find the coordinates of the image of Z(−3,−1) after the translation (x,y)→(x−2,y−7).
polet [3.4K]
<h3>Answer:  (-5, -8)</h3>

======================================================

Explanation:

We get this point by doing two things.

  • Subtract 2 from the x coordinate, due to the x-2
  • Subtract 7 from the y coordinate, because of the y-7

If we started with x = -3, then x-2 = -3-2 = -5. Also, if we had y = -1 then y-7 = -1-7 = -8

So that's how we end up with Z(-3,-1) moving to Z ' (-5, -8)

You could also show your work like this

(x,y) \to (x-2, y-7)\\\\(-3,-1) \to (-3-2, -1-7)\\\\(-3,-1) \to (-5, -8)\\\\

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