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Otrada [13]
3 years ago
8

Given f(x) = 2x + 5, find x when f(x) = 45

Mathematics
2 answers:
lozanna [386]3 years ago
7 0

Step-by-step explanation:

f(x) = 2x + 5 = 45

2x + 5 = 45

2x = 45 - 5

2x = 40

x = 20

mars1129 [50]3 years ago
7 0

Answer:

f(x) = 2x + 5 = 45

2x + 5 = 45

5-25=2x

40=2x

x = 20

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What is the sum of the first 10 positive integers?<br><br> A) 55<br> B) 50 <br> C) 100<br> D) 95
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The correct answer here is A) 55. This is because a positive integer is defined as any number greater than 0 and has no decimals/ fractions in it. Therefore, you would add 1+2+3+4+5+6+7+8+9+10, yielding 55 as your answer.
4 0
2 years ago
Cody has $700 in a savings account that pays 4% simple interest. How much will he have in 1 year?
ladessa [460]

Answer:

$ 728

Step-by-step explanation:

Amount of Money Cody has = $700

Simple Interest = 4%

As it is know that interest is always given on annually basis so

Amount of profit he have in one year = Money he have right now * interest

                                                              =700 * 4%

                                                              =700 * \frac{4}{100}

                                                               = $ 28

After one year he will have = total money at that time + Profit

                                              = 700 + 28

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3 0
2 years ago
HELP PLEASE!!!!!!!!!!!!
Bogdan [553]

Answer:

See the explanation.

Step-by-step explanation:

We are given the function f(x) = x² + 2x - 5

Zeros :

If f(x) = 0 i.e. x² + 2x - 5 = 0

The left hand side can not be factorized. Hence, use Sridhar Acharya formula and  

x= \frac{-2+\sqrt{2^{2}-4\times(-5)\times1 } }{2} and  

x= \frac{-2-\sqrt{2^{2}-4\times(-5)\times1 } }{2}

⇒ x = -3.45 and 1.45

Y- intercept :

Putting x = 0, we get, f(x) = - 5, Hence, y-intercept is -5.

Maximum point :

Not defined

Minimum point:  

The equation can be expressed as (x + 1)² = (y + 5)

This is an equation of parabola having the vertex at (-1,-5) and axis parallel to + y-axis

Therefore, the minimum point is (-1,-5)

Domain :  

x can be any real number

Range:  

f(x) ≥ - 6

Interval of increase:

Since this is a parabola having the vertex at (-1,-5) and axis parallel to + y-axis.

Therefore, interval of increase is +∞ > x > -1

Interval of decrease:

-∞ < x < -1

End behavior :  

f(x) = x^{2} +2x-5 =x^{2}  (1+\frac{2}{x} -\frac{5}{x^{2} } )

So, as x tends to +∞ , then f(x) tends to +∞

And as x tends to -∞, then f(x) tends to +∞. (Answer)

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Step-by-step explanation:

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