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3 years ago

Is the following table proportional or non proportional (3,5) (6,10) (9,15) (12,20)

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

3 0

Answer:

Yes

Step-by-step explanation:

because when they are cut answer is (3,5)

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Find the slope of the graph

nevsk [136]

Answer:

Step-by-step explanation:

consider the two points. Gradient=change in y/change in x. So 4/2=2

5 0

3 years ago

3y+2+3x-y+5x i need help doing combine like terms

sweet-ann [11.9K]

Answer:

8x+2y+2

Step-by-step explanation:

First, write it out as it's given:

3y+2+3x-y+5x

Then, combine the x-terms first:

3y+2-y+8x

Next, combine the y-terms:

2+2y+8x

6 0

3 years ago

Read 2 more answers

Covert 77 1/2% to a fraction in lowest term

Elodia [21]

$77\frac{1}{2} \%$ converted to fraction in lowest terms is $\frac{31}{40}$

<em><u>Solution:</u></em>

Given that we have to convert $77\frac{1}{2} \%$ to fraction in lowest terms

Let us first convert the mixed fraction $77\frac{1}{2}$

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Therefore,

$77\frac{1}{2} \% = \frac{77 \times 2+1}{2} \% = \frac{155}{2} \%$

$\frac{155}{2} \% = 77.5 \%$

Now convert 77.5 % to fraction

So we have to convert percentage to fraction

Divide the percentage by 100 to get a decimal number

$77.5 \% = \frac{77.5}{100} = 0.775$

Use that decimal number as the numerator of a fraction. Put a 1 in the denominator of the fraction

Count the number of places to the right of the decimal. If you have x decimal places then multiply numerator and denominator by $10^x$

$0.775 = \frac{0.775}{1} \times \frac{1000}{1000} = \frac{775}{1000}$

Simplify and reduce the fraction to lowest terms

$\rightarrow \frac{775}{1000} = \frac{31}{40}$

Thus the given percentage is converted to fraction in lowest terms

7 0

3 years ago

If f(x)=x-6 and g(x)=x^3, find G(f(x)) a)x^3(x-7) b)x^3-7 c)x^3+x-7 d)(x-7)^3

nirvana33 [79]

Answer:

(x-6)^3

Step-by-step explanation:

$f(x)=x-6 \\\\g(x)=x^3 \\\\g(f(x))=(x-6)^3$

Hope this helps!

4 0

3 years ago

34. The amount of money in an account with continuously compounded interest is given by the formula 1

kirill115 [55]

Answer:

Step-by-step explanation:

I have no idea what formula that is you're using but the one I teach in both algebra 2 and in precalculus for continuous compounding is

$A(t)=Pe^{rt}$

where A(t) is the amount after the compounding, P is the initial investment, ee is Euler's number, r is the interest rate in decimal form, and t is the time in years. If our money doubles, we just have to come up with a number which will be P and then double it to get A(t). It doesn't matter what number we pick to double, the answer will come out the same regardless. I started with 2 and then doubled it to 4 and filled in the rest of the info given with time as my unknown:

$4=2e^{(.062)(t)}$

Begin by dividing both sides by 2 to get

$2=e^{.062t}$

The only way we can get that t out of its current position is to take the natural log of both sides. Natural logs have a base of e, so

$ln_e(e)=1$ This is because they are inverses of one another. Taking the natural log of both sides:

$ln2=.062t$ Now divide by .062 to get

t = 11.2 years

4 0

3 years ago