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3 years ago

How do I solve this equation?

Mathematics

2 answers:

AnnyKZ [126]3 years ago

4 0

Okay so basically all you do is first subtract 2 from 2 and from 17. positive minus a negative 2 cancels out. Once this is done, you simplify your answer to 5x<15. Then, you divide both sides by 5 to get the variable by itself. 5x divided by 5 cancels out to 1 and 15 divided by 5 equals 3. This means that you answer will be x<3 and being that you did not multiply or divide by any negatives, the inequality sign stays the same and doesn’t flip... I hope this helps

aalyn [17]3 years ago

3 0

Answer:

x< 3

Step-by-step explanation:

5x+2<17

-2. -2

5x<15

Divide both sides by 5

x< 3

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90 points please help!!!!!!!!

just olya [345]

To model this situation, we are going to use the exponential function: $f(t)=P(1+ \frac{r}{n} )^{nt}$
where
$P$ is the initial number of cars
$r$ is the growing rate in decimal form
$n$ is number of tames the growing rate is increasing per year
$t$ is the time in years

To convert the growing rate to decimal form, we are going to divide the rate by 100%
$r= \frac{12}{100}$
$r=0.12$
Since the growing rate is increasing quarterly, $n=4$ . We also know that the initial number of cars is 920, so $P=920$ . Lets replace all those values in our function:
$f(t)=920(1+ \frac{0.12}{4} )^{4t}$
$f(t)=920(1+0.03)^{4t}$
$f(t)=900(1.03)^{4t}$

We can conclude that:
Rate ---------> The quarterly rate of growth is 0.03 or 3%
Exponent --------> The compound periods multiplied by the number of years is 4t
Coefficient--------> The initial number of cars serviced is 920
Base------> The growth factor is represented by 1.03

3 0

3 years ago

Read 2 more answers

How much would $500 invested at 6% interest compounded monthly be worth after 4 years? Round your answer to the nearest cent

Rama09 [41]

1) Compound interest formula:
$A = P(1+ \frac{r}{n}) ^{nt}$ **<span>
**A = amount, P = principal amount, r = rate, n = # of times interest is compunded every year, t = time(in years)
2) Plug numbers in
</span> $A = (500)(1+ \frac{0.06}{12}) ^{(12)(4)}$
3) Solve
A = 635.24458054

Hope this helped! Good Luck!

7 0

3 years ago

On January 22 in 1943, the town of Spearfish, South Dakota, set the record for the world’s fastest temperature change.

Galina-37 [17]

Answer:

-29

I got this by doing:

-4 + 54 = -58 ÷ 2 = -29

3 0

2 years ago

Read 2 more answers

Write an equation in standard form of the line that passes through the given points:

Dafna1 [17]

Step-by-step explanation:

The standard form for a line is Ax+By=C

First, we need to find the slope, or change in y over change in x. For the first one, this is

$\frac{6-(-2)}{2-2}$ , which is impossible to find as we cannot divide by 0, meaning that this is constant horizontally -- in this case, x=2. Thus, we have 1*x+0*y=2.

For the second one, we can find the slope by getting

$\frac{0-4}{3-(-3)} =\frac{-4}{6 } = \frac{-2}{3}$ . We can then take the point (3,0) (it can be any point on the line) and get our equation to be y-0 = (-2/3) (x-3). Converting this to standard form, we can expand this to get

y= (-2/3)*x +2

(-2/3)*x+1*y = 2

5 0

3 years ago

Write 18 out of 30 as a fraction in its simplest form.

vlabodo [156]

Answer:

d). 3/5.

Step-by-step explanation:

The greatest common factor of 18 and 30 is 6, so we divide top and bottom of the fraction by 6:

18/30

= (18/6) / (30/6)

= 3/5.

6 0

3 years ago