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dem82 [27]
3 years ago
14

A yard is equal in length to three feet. The function f(x) takes a measurement in yards (as input) and returns a measurement in

feet (as output).What number will the function return if the input is 12.2?
Mathematics
1 answer:
Novay_Z [31]3 years ago
5 0

since yards is the input, you would multiply the input by 3 to get feet

so the equaton would look something like: f(x) = 3x where x is the input

so when x = 12.2 you would replace x with 12.2 to get:

have f(12.2) = 3(12.2)

12.2 *3 = 36.6 feet

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4x2 +9y2 = 72
Kamila [148]

Answer:

<h2>        \bold{\left(\dfrac{3}{13}\ ,\ \dfrac{4\sqrt{13}}{13}\right)\qquad\vee\qquad \left(\dfrac{3}{13}\ ,\ -\dfrac{4\sqrt{13}}{13}\right)}</h2>

Step-by-step explanation:

x - y² = -1     ⇒   - y² = - x - 1    ⇒    y² = x + 1   {x≥-1}

4x² + 9y² = 72

4x² + 9(x + 1)² = 72

4x² + 9(x² + 2x + 1) = 72

4x² + 9x² + 18x + 9 - 72 = 0

13x² + 18x - 63 = 0     ⇒   a = 13,  b = 18,  c = -63

x=\dfrac{-18\pm\sqrt{18^2-4\cdot13\cdot(-63)}}{2\cdot13}=\dfrac{-18\pm\sqrt{324+252}}{26}=\dfrac{-18\pm\sqrt{576}}{26}\\\\x=\dfrac{-18+24}{26}=\dfrac3{13}\qquad\vee\qquad x=\dfrac{-18-24}{26}=-\dfrac{21}{13}\\\\ y^2= x + 1\quad\iff\quad x\ge-1\\\\y^2=\dfrac3{13}+1\\\\ y^2=\dfrac{16}{13}\\\\y=\dfrac{4}{\sqrt{13}}=\dfrac{4\sqrt{13}}{13}\qquad\vee\qquad y=-\dfrac{4\sqrt{13}}{13}

4 0
3 years ago
Green
lisov135 [29]

Answer:

1/8 or .125

Step-by-step explanation:

There's only 8 sheets and 1 of them is green.

7 0
3 years ago
Can someone help? Please explain as well?
irga5000 [103]
Multiply 29 cm and 18 cm
6 0
3 years ago
Use prime factorazations of 24 and 28 to find the lcm
makvit [3.9K]

it would be 2 bcs 24/2=12 and 28/2=14

3 0
3 years ago
19. Find the equation of the line that contains the given points. Write the equation in slope-
AveGali [126]

Answer:

y = 2x +5

Step-by-step explanation:

1. use slope intercept for y2 - y1 / x2 - x1 --> 7-(-12) / 1-(-5)

2. solve --> 7-(-12) / 1-(-5) = 2

3. put in slope (2) and a coordinate into equation --> y = mx + b --> 7 = 2(1) + b

4. solve --> 7 = 2(1) + b --> b = 5

5. put the equation together --> y = 2x + 5

3 0
3 years ago
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