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skad [1K]
4 years ago
7

When is 2 x -3 equal to x squared minus 5

Mathematics
1 answer:
Alex Ar [27]4 years ago
8 0
Solve:  2x - 3 = x^2 - 5 (at least, this is my interpretation of your 2 x -3).

x^2 - 5 - 2x + 3 + 0, or x^2 - 2x - 2 = 0

I will solve this by "completing the square:"

x^2 - 2x +(1)^2 - (1)^2 - 2 = 0, or x^2 - 2x + 1 - 1 - 2 = 0

This is    (x-1)^2 = 3.  Taking the sqrt of both sides, we get:

x-1 = plus or minus sqrt(3).  Then x=1+sqrt(3) or x=1-sqrt(3).  These are the two values of x for which  2x - 3 = x^2 - 5 is true.
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A clothing store is having a sale where all shirts are 40% off and all the pairs of pants are 30% off. Which of these are true?
const2013 [10]

Answer:

Step-by-step explanation:

A. "a pair of pants originally priced at &40$ and a shirt originally priced at $45. He pays $55"—correct

(1-0.30)$40 + (1-0.40)$45 = $55

B. "Mary buys two shirts originally priced at $25. She will pay $35."—incorrect

2×(1-0.40)$25 = $30

C. "a pack of four shirts on sale for $37.80. The pack of shirts was originally priced at $54"—incorrect

(1-0.40)$54 = $32.40

D. "a pair of pants for sale price of $40.60. The pair of pants was originally priced at $58."—correct

(1-0.30)$58 = $40.60

4 0
3 years ago
Which number produces a rational number when multiplied by 0.5?
tekilochka [14]
A:because Pi is an irrational number and so is C because it does not repeat nor does it terminate but if you multiple 222 by 0.5 you got a whole number which you know is a Rational Number
4 0
3 years ago
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If x=17, then 27+x=y.<br> What does y equal?
svet-max [94.6K]

Answer:

44=y

Step-by-step explanation:

27+x=y

We know x = 17, so we can substitute x=17 into the equation

27 + 17 = y

44=y

7 0
4 years ago
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The pants cost $45.Gina had a coupon for 15% off. How much money did she save
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6.75 dollars
Step by step
7 0
3 years ago
What is the surface area of a dome ( 1/2 sphere) with a radius of 12 meters?<br> A.
Step2247 [10]

Answer:

Area = 1357.344m^2

Step-by-step explanation:

Given

Shape: dome

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Required

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This is calculated as:

Area = 3\pi r^2

So, we have:

Area = 3*3.142* 12^2

Area = 1357.344m^2

4 0
3 years ago
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