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olganol [36]
3 years ago
8

For which values of x is the function f(x)= 4/x not defined?

Mathematics
1 answer:
GenaCL600 [577]3 years ago
7 0
f(x)=\dfrac{4}{x}

Answer: The function f(x) is not defined for x = 0 because <span>the denominator cannot be equal 0.<span /></span>
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The hypotenuse of a right triangle is 10cm long. The longer leg is 2cm longer than the shorter leg. Find the side lengths of the
Crazy boy [7]
We need Pythagoras theorem here
a^2+b^2 = c^2
a, b =  legs of a right-triangle
c = length of hypotenuse

Let S=shorter leg, in cm, then longer leg=S+2 cm
use Pythagoras theorem
S^2+(S+2)^2 = (10 cm)^2
expand (S+2)^2
S^2 +   S^2+4S+4  = 100 cm^2   [collect terms and isolate]
2S^2+4S =  100-4 = 96 cm^2
simplify and form standard form of quadratic
S^2+2S-48=0
Solve by factoring
(S+8)(S-6) = 0   means (S+8)=0, S=-8
or                                   (S-6)=0, S=6
Reject nengative root, so
Shorter leg = 6 cm
Longer leg = 6+2 cm = 8 cm
Hypotenuse (given) = 10 cm

5 0
3 years ago
Please help need answers
bogdanovich [222]

see explanation below

(1) \frac{1}{5} × \frac{2}{2} = \frac{2}{10} = 0.2

(2) \frac{6}{25} × \frac{4}{4} = \frac{24}{100} = 0.24

(3) 2 \frac{3}{4} = 2 +\frac{75}{100} = 2.75

(4) 3 \frac{9}{10} = 3 + 0.9 = 3.9

(5) 1.25 = 1 \frac{1}{4} = \frac{5}{4}

(6) 3.29 = 3 \frac{29}{100} = \frac{329}{100}

(7) 0.65 = \frac{65}{100} = \frac{13}{20} in simplest form

(8) 5.6 = 5 \frac{6}{10} = 5 \frac{3}{5} = \frac{28}{5}

(9) he is incorrect

\frac{3}{5} × \frac{20}{20} = \frac{60}{100} = 0.6 ≠ 3.5


7 0
3 years ago
What proportion of the first 10,000 natural numbers contain a 3
Sergeeva-Olga [200]
In the first 10 -> 10 - 9 = 1 (contain a 3).
In the first 100 -> 100 - 9 * 9 = 19 (contain a 3).
In the first 10^n -> 10^n - 9^n  (contain a 3).


&#10;&#10;So for 10^4 -> 10^4 - 9^4 = 10.000 - 6.561 = 3.439 &#10;

<u>The answer is 3.439 numbers contain a 3 in the first 10.000</u>

3 0
3 years ago
Read 2 more answers
Help help help help help help help
neonofarm [45]

Answer:

D= -16.8

Step-by-step explanation:

3 0
3 years ago
What is the lowest value of the range of the function shown on the graph?
insens350 [35]
The complete question in the attached figure

we know that
the range is the y-value  of the function
so
the lowest y-value on this graph is y = -2.

the answer is
y=-2

5 0
3 years ago
Read 2 more answers
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