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attashe74 [19]
2 years ago
13

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Mathematics
2 answers:
guajiro [1.7K]2 years ago
8 0

Answer:

5 - x

Step-by-step explanation:

Given:

f(x)=25-x^2

g(x)=x+5

\begin{aligned}\left(\dfrac{f}{g}\right)(x) & = \dfrac{f(x)}{g(x)}\\\\ & = \dfrac{25-x^2}{x+5}\\\\& = \dfrac{(5-x)(5+x)}{(x+5)}\\\\& = \dfrac{(5-x)(x+5)}{(x+5)}\\\\& = 5-x\end{aligned}

ElenaW [278]2 years ago
6 0

Answer:

\sf \left(\dfrac{f}{g}\right)(x)=5-x

Step-by-step explanation:

Given functions:

f(x) = 25 - x²

g(x) = x + 5

<u>Difference of Perfect Squares rule:</u> a² - b² = (a + b)×(a - b)

1. Rewrite function f(x) using the rule:

5 × 5 = 25 ⇒ 5²

x × x = x²

f(x) = 5² - x² ⇒ f(x) = (5 + x)×(5 - x)

2. Divide and simplify:

\sf\left(\dfrac{f}{g}\right)(x) =\dfrac{f(x)}{g(x)}\\\\\left(\dfrac{f}{g}\right)(x)=\dfrac{(5 + x)(5 - x)}{x+5}\\\\\left(\dfrac{f}{g}\right)(x)=5-x

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Can you bisect an angle using only a compass and a straight edge​
ahrayia [7]

Answer:

yes

Step-by-step explanation:

bisect = dividing it into two equal parts

if you were to line the angle up with the north (or really any line of the compass), you could find the center (you could find where two lines [the same distance from north] are on equal sides of north, or you could just find the center of the angle from sight)

and with the straight edge, you could easily divide the angle into two equal halves

4 0
2 years ago
600g of 20% of the normal price of £5
max2010maxim [7]

Answer:

Step-by-step explanation:

600g of 20%

100 - 20 = 80

600 = 80%

/80%

7.5 = 1%

x100

750 = 100%

£750

Sorry I don’t know what else to write. Hopefully, this guarantees you a mark.

7 0
3 years ago
The length of a rectangle is half the width. The area is 25 square meters
salantis [7]

Answer:

width= 5sqrt2 meters

length= 5/sqrt2 meters

Step-by-step explanation:

7 0
2 years ago
I got zero, but that’s wrong.
meriva

Answer:

Expected value is 4,000

Step-by-step explanation:

To find expected value ⇒ multiply the value by it's probability

40% × ( -25,000 ) = - 10,000

Breaking means neither add nor subtract a given amount

20% × 0 = 0

35% × 40,000 = 14,000

∴ Expected value = -10,000 + 14,000 = 4,000

LOSS:                   -10,000

BREAK EVEN:       0

WIN:                       14,000

Expected value is 4,000

<em>hope this helps....</em>

3 0
3 years ago
Change 3/11 to a decimal
inysia [295]
To change a fraction to a decimal , you just divide the number on top by the number on the bottom.
So to change 3/11 to a decimal you divide 3 by 11 and you get  0.272727
= 3/11

= 3 ÷ 11

<span>= 0.272727
</span>
you can round this to 0.273
6 0
3 years ago
Read 2 more answers
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