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ivolga24 [154]
2 years ago
12

Can you help me please

Mathematics
1 answer:
nasty-shy [4]2 years ago
8 0
I think it’s 32? i dont know good luck
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Quick algebra 1 question for some points!
Kazeer [188]
<h2>3)</h2>

\frac{y}{x}  =  \frac{4}{ - 3}  =  \frac{8}{ - 6}  =  \frac{12}{ - 9}  \\ this \: relation \: holds \: so \: y \: varies \\ directly \: with \: x

\frac{ 4}{3} m =  \frac{8}{ - 6}  \\ m =  \frac{ \frac{ - 8}{6} }{ \frac{3}{ - 4} }  =  \frac{8 \times 4}{6 \times 3}  =  \frac{32}{18}  = 2 \\ multipling \: by \: 2

<h2>2)</h2>

\frac{y}{x}  =  \frac{ - 40}{ - 0.5}  =  \frac{8}{2.5}  =  \frac{5}{4}  \\  \frac{y}{x}  = 80 = 3.2 = 1.25 \\ this \: is \: untrue \: so \: y \: is \: not \\ varying \: directly \: with \: x

no \: constant \: of \: variation

<h2>4)</h2><h2>\frac{y}{x}  =  \frac{21}{3}  =  \frac{31.5}{4.5}  =  \frac{38.5}{5.5 \\  }  \\  \frac{y}{x}  = 7 = 7 = 7 \\ y \: varies \: directl y\: with \: x \\ consant \: of \: var =  \frac{y}{x}  = 7</h2><h2>5)</h2>

\frac{y}{x}  =  \frac{30}{6}  =  \frac{35}{7}  =  \frac{96}{8}  \\  \frac{y}{x}  = 5 = 5 = 12 \\ y \: does \: not \: vary \: directly \: with \: x

7 0
2 years ago
Guys Help!!!!!! (Ok thats all i wanted to say so uh enjoy 95 points and yea Have a good day/night)
HACTEHA [7]

Answer:

hi

Step-by-step explanation:

thx for the points. you so kind

6 0
2 years ago
Read 2 more answers
A 4 pound bag of sugar contains 480 teaspoons and costs $3.60. A batch of muffins uses half a cup of sugar. (1 cup = 48 teaspoon
Marianna [84]

Answer:

batches- 20

cost of each batch- $0.18

Step-by-step explanation:

480/24 = 20

3.60/24 = 0.18

7 0
2 years ago
A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions u
Kryger [21]

Given: f(x) = \frac{1}{x-2}

           g(x) = \frac{2x+1}{x}

A.)Consider

f(g(x))= f(\frac{2x+1}{x} )

f(\frac{2x+1}{x} )=\frac{1}{(\frac{2x+1}{x})-2}

f(\frac{2x+1}{x} )=\frac{1}{\frac{2x+1-2x}{x}}

f(\frac{2x+1}{x} )=\frac{x}{1}

f(\frac{2x+1}{x} )=1

Also,

g(f(x))= g(\frac{1}{x-2} )

g(\frac{1}{x-2} )= \frac{2(\frac{1}{x-2}) +1 }{\frac{1}{x-2}}

g(\frac{1}{x-2} )= \frac{\frac{2+x-2}{x-2} }{\frac{1}{x-2}}

g(\frac{1}{x-2} )= \frac{x }{1}

g(\frac{1}{x-2} )= x


Since, f(g(x))=g(f(x))=x

Therefore, both functions are inverses of each other.


B.

For the Composition function f(g(x)) = f(\frac{2x+1}{x} )=x

Since, the function f(g(x)) is not defined for x=0.

Therefore, the domain is (-\infty,0)\cup(0,\infty)


For the Composition function g(f(x)) =g(\frac{1}{x-2} )=x

Since, the function g(f(x)) is not defined for x=2.

Therefore, the domain is (-\infty,2)\cup(2,\infty)



8 0
3 years ago
A garden is in the shape of a semicircle with a radius of 25 feet. Fencing is placed around this garden. How much fencing, in fe
Len [333]

Answer:

S.A. = 981.7 ft^2

Step-by-step explanation:

radius = 25 ft

S.A. = 1/2πr2

S.A. = 1/2π(25)^2

S.A. = 981.7

4 0
3 years ago
Read 2 more answers
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