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4 years ago

What property is used in the second step of solving the inequality below?

Mathematics

1 answer:

Free_Kalibri [48]4 years ago

8 0

Answer:

The Multiplication property

Step-by-step explanation:

The Multiplication property by a constant was used

For real numbers a and b, and c different from zero:

If c is positive and $a$ then $a*\frac{1}{c}$ .

If c is negative and $a$ then $a*\frac{1}{c} >b*\frac{1}{c}$ .

In this case we have

$5x$ Then $\frac{5}{5}x$

Finally

$x$

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Let f(x) = (5)^x+1 .Evaluate f (-3) without using a calculator

rewona [7]

Answer:

$f\left(-3\right)=\frac{126}{125}$

Step-by-step explanation:

Given

$f\left(x\right)\:=\:\left(5\right)^x+1$

Putting x = -3 to find f(-3)

$f\left(-3\right)\:=\:\left(5\right)^{\left(-3\right)}+1$

$5^{-3}=\frac{1}{125}$ ∵ $\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}$

$f\left(-3\right)=\frac{1}{125}+1$

$\mathrm{Convert\:element\:to\:fraction}:\quad \:1=\frac{1\cdot \:125}{125}$

$f\left(-3\right)=\frac{1\cdot \:\:125}{125}+\frac{1}{125}$

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}$

$f\left(-3\right)=\frac{1\cdot \:\:125+1}{125}$

$f\left(-3\right)=\frac{126}{125}$ ∵ $1\cdot \:125+1=126$

Thus,

$f\left(-3\right)=\frac{126}{125}$

6 0

4 years ago

What is the rate of change for the function and what does the rate of change represent? A. $50; the cost to rent the boat for 1

KiRa [710]

I personally think its B but you gotta say if its either multiplication or addition or division

3 0

3 years ago

Read 2 more answers

427,266 to the nearest ten thousand

GaryK [48]

Answer:

430,000

Step-by-step explanation:

Since the thousandths place is more than 4 you can round up the ten thousands

7 0

3 years ago

Read 2 more answers

Suppose you wish to borrow $600 for two weeks and the amount of interest you must pay is $25 per $100 borrowed. What is the APR

Yuliya22 [10]

Answer:

The APR at which the money is borrowed, is approximately 651.79%

Step-by-step explanation:

The amount which one wishes to borrow for two weeks, P = $600

The amount of interest that one must pay back = $25 per $100 borrowed

Therefore;

The total interest on the $600 loan (borrowed) for two weeks = 25/100× $600 = $150

The number of days for which the amount was borrowed = 2 weeks = 14 days

The Annual Percentage Rate, APR is given as follows;

$APR = \left (\dfrac{\left (\dfrac{Interest \ Paid \ for \ the \ Loan \ duration}{The \ amount \ borrowed} \right )}{The \ number \ of \ days \ the \ amount \ was \ borrowed } \right ) \times 365 \times 100$

Therefore, we get

$APR = \left (\dfrac{\left (\dfrac{150}{600} \right )}{14 } \right ) \times 365 \times 100 \approx 651.79 \%$

The annual rate at which the money is borrowed, APR ≈ 651.79%.

8 0

3 years ago

Find the prime factors.<br> 7) 48

FinnZ [79.3K]

Step-by-step explanation:

$48 = 48 \times 1 \\ 48 = (24 \times 2) \times 1 \\ 48 = (12 \times 2) \times 2 \times 1 \\ 48 = (6 \times 2) \times 2 \times 2 \times 1 \\ 48 = (3 \times 2) \times 2 \times 2 \times 2 \times 1$

7 0

3 years ago