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3 years ago

What are the solutions to 2(x-9)^2=72

Mathematics

2 answers:

kati45 [8]3 years ago

5 0

Answer:

x=15

Step-by-step explanation:

Zanzabum3 years ago

3 0

Isolate the variable by diving each side by factors that don’t contain the variable
x = 15, 3

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Describe the transformation relative to the parent function. f(x)=(9x)^4. Correct answer will get brainliest

Ber [7]

If you start from the parent function $f(x) = x^4$ , the only transformation performed is $f(x) \to f(9x)$ . In fact,

$f(x) = x^4 \implies f(9x) = 9x^4$

In general, a transformation like $f(x) \to f(kx)$ results in a horizontal stretch. If k>1, the function is compressed, if 0<k<1, the function is streched. If k is negative, the function is reflected around the y axis, and then you apply the logic just described.

So, in your case, k=9, which means that the graph is horizontally compressed by a factor 9.

7 0

3 years ago

3. Maria is a veterinarian. She wants to know how the weight of a puppy is related to its length. To find out, Maria randomly se

sweet [91]

Answer:

Part A. I chose points (7,1.3) and (48,9.8)

Part B. a. Positive correlation; b. y = 0.21x - 0.2

Step-by-step explanation:

Part A.

I chose the first and last points on the line — (7 in, 1.3 lb) and (48 in, 9.8 lb).

That put three points on the line, three above it, and four below.

Part B

a. Type of correlation

There is a positive correlation between the length of a puppy and its weight.

You would expect a longer dog to be bigger and weigh more than a shorter dog.

b. The equation for the line of best fit

The slope-intercept equation for a straight line is

y = mx + b

where m is the slope of the line and b is the y-intercept.

The line passes through the points (7,1.3) and (48, 9.8).

(i) Calculate the slope of the line

\begin{array}{rcl}

$m & = & \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\ & = & \dfrac{9.8 - 1.3}{48-9}\\\\& = & \dfrac{8.5}{41}\\\\& = & \textbf{0.21 lb/in}\\\\\end{array}$

The slope of the line is 0.21 lb/in.

(ii) Locate the y-intercept

Put the slope and the coordinates of one point into the slope-intercept formula.

$\begin{array}{rcl}y & = & mx + b\\1.3 & = & 0.21\times7 + b\\1.3 & = & 1.47 + b\\b & = & -0.2\\\end{array}$

The y-intercept is at (0,-0.2)

(iii) Write the equation for the line

y = 0.21x - 0.2

5 0

3 years ago

The figure above shows a square inscribed in a rectangle.

slava [35]

Step-by-step explanation:

first u must find the area of the rectangle.after that,find the area of the square.then you have tu subtract it so that u can get the orange area.

8 0

3 years ago

Find the domain of y=log3(x+5)

Anton [14]

(x+5)>0
D: (-5, infinity)

7 0

4 years ago

Please help me latterly i posted this and no one bothered too help me plz i beg of u i really need help u have no idea i am fail

Nostrana [21]

1. An equation for income, I = 3c + 2p, where c is the number of calendars sold and p is the number of posters sold.

2. When 25 calendars and 18 posters are sold, the income is $111.

3. Income for selling 12 calendars and 15 posters is $66.

4. 3 possible combinations; 1) 30 calendars and 5 posters. 2) 20 calendars and 20 posters. 3) 10 calendars and 35 posters.

Step-by-step explanation:

Step 1; It is given that each calendar costs $3 and each poster costs $2. So if c is the number of calendars sold and p is the number of posters sold.

Total income, I = 3c + 2p.

Step 2; Now if we substitute the value of c with 25 and p with 18, we get

I = 3c + 2p = 3 (25) + 2 (18) = 75 + 36 = $111.

Step 3; If the value of p is 12 and the value of c is 15, we have

I = 3c + 2p = 3 (12) + 2 (15) = 36 + 30 = $66.

Step 4; To find combinations that cost $100, we substitute I with 100. So the equation becomes 3c + 2p = 100.

When c = 30, 3 (30) + 2p = 100, 2p = 100 - 90 = 10, 2p = 10, p =5.

When c = 20, 3 (20) + 2p = 100, 2p = 100 - 60 = 40, 2p = 40, p = 20.

When c = 10, 3 (10) + 2p = 100, 2p = 100 - 30 = 70, 2p = 70, p = 35.

4 0

4 years ago