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valkas [14]
3 years ago
11

Diagram below show part of the graph of the function f(x) for the domain

Mathematics
1 answer:
olga55 [171]3 years ago
4 0

f(x) =  |x + 1|  + 1
x =  - 8 >  > y = 8
x =  - 7 >  > y = 7 \\ x = 5 >  > y = 7 \\ 1  \leqslant f(x) \leqslant 7
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Find the sides of a rectangle having area 125 square units if the sides are in the ratio 5:3.
tatiyna

For this case we have the following data:

Area of the rectangle, A = 125

Relationship of the sides 5: 3

By definition, the area of a rectangle is given by:

A = a * b

Where

  • a: is the longest side.
  • b: it is the side of least length.

If the sides have a 5: 3 ratio, it means:

\frac{a}{b}=\frac{5}{3}

a=\frac{5}{3}b

Substituting in the formula of the area, we have:

125 =a * b\\

125=\frac{5}{3}b*b

Clearing b:

3 * 125 = 5 * b ^ 2

\frac{375}{5}= b ^ 2

75 = b ^ 2

b =\sqrt{75}b = 8.7 units

Substituting and clearing:

125 = a * 8.7

a =\frac{125}{8.7}

a = 14.4units

So, the sides are:

a = 14.4units

b = 8.7units

Answer:

a = 14.4units

b = 8.7units


7 0
3 years ago
Solve:
lys-0071 [83]

Answer:

six and eight ninths

Step-by-step explanation:

8 0
3 years ago
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Let f(x) = 3x - 7 and g(x) = -2x -6. Find (f x g)(4)<br> Include steps please.
siniylev [52]
Here's the derivation.
(f x g)(4) = f(4) x g(4)

So applying the derived equation.
(f x g)(4) = 3(4) - 7 * -2(4) - 6
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Find the value of b.<br> A 57<br> B 50 <br> C 123<br> D 61.5
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Answer: The answer is 50

Step-by-step explanation:

I did the test

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2 years ago
How do you write 850% in simplest form
Sholpan [36]
 <span>850/1350</span><span> is </span><span>17/<span>27 is the answer

</span></span>
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3 years ago
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