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3 years ago

The ordered pairs (1, 3), (2, 9), (3, 27), and (4, 81) represent a function. Write a rule that represents this function.

1 answer:

4 0

Let x be the first number each pair and y is the second of each As you see 1x is 3y
And. 2x is 3*3y= 9y
3x = 3*3*3y= 27y

Last 4x =3*3*3*3y= 81y

So y = 3^x

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Logan saved $35 from cutting the neighbor’s yard. He earns $10 a week from washing dishes, which he also saves. Which function c

balandron [24]

the answer is “s = 10w + 35” since he already has 35 but needs to find out how many weeks he washed the dishes :))

7 0

2 years ago

A triangular course for a canoe race is marked with buoys. The first leg is 3/10 mi, the second leg is 1/2 mi, and the third leg

balu736 [363]

<h2>The race is 1.2 miles long</h2>

Step-by-step explanation:

The first leg is 3/10 mi, the second leg is 1/2 mi, and the third leg is 2/5 mi.

$\texttt{Length of first leg = }\frac{3}{10}miles\\\\\texttt{Length of second leg = }\frac{1}{2}miles\\\\\texttt{Length of third leg = }\frac{2}{5}miles$

Now we need to find length of race

$\texttt{Total length = }\frac{3}{10}+\frac{1}{2}+\frac{2}{5}\\\\\texttt{Total length = }\frac{3}{10}+\frac{5}{10}+\frac{4}{10}\\\\\texttt{Total length = }\frac{3+5+4}{10}\\\\\texttt{Total length = }\frac{12}{10}\\\\\texttt{Total length = }1.2miles$

The race is 1.2 miles long

7 0

3 years ago

What is the equation of the circle with center (-3,1) that passes through the point (-5, 3)?

Natali5045456 [20]

Answer:

Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.

Step-by-step explanation:

The equation of a circle with center (h,k) and radius r is given by:

$(x-h)^2 + (y-k)^2 = r^2$

Given

Center = (h,k) = (-3,1)

=> h = -3

=> k = 1

The distance between the center of circle and the point through which the circle passes will be the radius.

The distance formula is given by:

$r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

Given

$(x_1,y_1) = (-3,1)\\(x_2,y_2) = (-5,3)$

Putting the values in the formula

$r = \sqrt{(-5+3)^2+(3-1)^2}\\r = \sqrt{(-2)^2+(2)^2}\\r = \sqrt{4+4}\\r = \sqrt{8}$

Putting the values of h,k and r in general form of equation

$\{x-(-3)}^2\} +(y-1)^2 = (\sqrt{8})^2\\(x+3)^2+(y-1)^2 = 8$

Hence,

Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.

4 0

3 years ago

Help please please!!

lidiya [134]

D. 4/8 is your answer hope this helps

5 0

3 years ago

Homes in your neighborhood appreciates at a rare Of 3.5% annually. The family purchase a home in your neighborhood with a value

svet-max [94.6K]

Answer: it will take 13 years for the home to be valued at 250,000

Step-by-step explanation:

The growth rate is exponential. We would apply the formula for exponential growth which is expressed as

y = b(1 + r)^ t

Where

y represents the value of the house after t years.

t represents the number of years.

b represents the initial value of the house.

r represents rate of growth.

From the information given,

b = 160000

y = 250000

r = 3.5% = 3.5/100 = 0.035

Therefore

250000 = 160000(1 + 0.035)^t

250000/160000 = (1.035)^t

1.5625 = (1.035)^t

Taking log of both sides to base 10

Log 1.5625 = log1.035^t = tlog1.035

0.1938 = t × 0.0149

t = 0.1938/0.0149

t = 13 years

8 0

3 years ago

Read 2 more answers