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2 years ago

For f(x) = 2x +1 and g(x) = x^2-7, find (f/g) (x)

Mathematics

1 answer:

Rashid [163]2 years ago

5 0

the answer is (f/g)(x) = 2(x^2 - 7) + 1
= 2x^2 - 14 + 1
= 2x^2 - 13

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39. The ratio of new houses to antique houses in a village is 4:5. If there are

jeyben [28]

Step-by-step explanation:

☄ $\underline{ \underline{ \text{Question }}}:$ The ratio of new houses to antique houses in a village is 4 : 5 . If there are 12 new houses , how many antique houses are there ?

☄ $\underline{ \underline{ \text{Solution}}} :$

✏ Let , the number of antique houses in a village be ' x ' .

Then , According to the question :

$\sf{ \frac{Number \: of \: new \: houses}{Number \: of \: antique \: houses} \: = \: \frac{4}{5}}$

⤑ $\sf{ \frac{12}{x} = \frac{4}{5}}$

Apply cross product property

⤑ $\sf{4 \times x = 12 \times 5}$

⤑ $\sf{4x = 60}$

⤑ $\sf{ \frac{4x}{4} = \frac{60}{4}}$

⤑ $\sf{x = 15}$

So, The number of antique houses in a village is 15.

$\red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \bold{15}}}}}}$

Hope I helped ! ♡

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2 years ago

Use compatible number to find 59÷413

lukranit [14]

Answer:

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Step-by-step explanation:

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Peggy had three times as many quarters as nickels. She had $1.60 in all. How many nickels and how many quarters did she have?. .

Andru [333]

Let

n-------> the number of nickels

q------> the number of quarters

we know that

$1\ quarter=\$0.25\\1\ nickel=\$0.05$

$0.05n+0.25q=1.60$ ----> equation A

$q=3n$ ----> equation B

substitute equation B in equation A

$0.05n+0.25[3n]=1.60$

$0.05n+0.75n=1.60$

$0.80n=1.60$

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Find the value of q

$q=3*2=6$

therefore

<u>The answer part a) is</u>

the number of nickels are $2$ and the number of quarters are $6$

<u>the answer Part b) is</u>

The expressions that represents the number of quarters is

$q=3n$

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