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3 years ago

Explain: Number of solutions: ANSWER BOTH PLEASE

Mathematics

1 answer:

KIM [24]3 years ago

4 0

There’s only one solution bc the variables are different

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The hotdog stand at a baseball game sells hotdogs for $3.50 each. The amount, D dollars, Mr. Moore paid for the hotdogs is direc

iVinArrow [24]

Answer:

D α H

k = D/H

k = 3.50

Step-by-step explanation:

Amount paid, D is directly proportional to the number of hotdogs, H

D = $3.50 per hot dog

D = $3.50 is directly proportional to 1 hotdog

Hence,

D α H

D = kH

k = proportionality constant

H = 1

3.50 = k

k = 3.50

k = D/H

4 0

3 years ago

Determine the value of x using a trigonometric ratio.

gladu [14]

We have a known hypotenuse, but unknown opposite side. Use the sine ratio to tie the two together to be able to solve for x.

sin(angle) = opposite/hypotenuse

sin(50) = x/6.5

6.5*sin(50) = x

x = 6.5*sin(50)

x = 4.97928888027336 make sure your calculator is in degree mode

x = 4.98

Answer is choice B

6 0

3 years ago

Which statement describes the behavior of the function f(x)=3x/4-x?

Oksana_A [137]

Answer:

The graph approaches –3 as x approaches infinity. Option a is correct.

Step-by-step explanation:

The given function is

$f(x)=\frac{3x}{4-x}$

We have to find value of function as x approaches infinity. Take limit both sides as x approaches to infinity.

$\lim_{x\rightarrow \infty}f(x)=\lim_{x\rightarrow \infty}\frac{3x}{4-x}$

Taking x common from the denominator.

$\lim_{x\rightarrow \infty}f(x)=\lim_{x\rightarrow \infty}\frac{3x}{x(\frac{4}{x}-1)}$

Cancel out common factor x.

$\lim_{x\rightarrow \infty}f(x)=\lim_{x\rightarrow \infty}\frac{3}{\frac{4}{x}-1}$

Apply limits.

$\lim_{x\rightarrow \infty}f(x)=\frac{3}{\frac{4}{\infty}-1}$

$\lim_{x\rightarrow \infty}f(x)=\frac{3}{0-1}$

$\lim_{x\rightarrow \infty}f(x)=-3$

Therefore the graph approaches –3 as x approaches infinity.

7 0

4 years ago

Read 2 more answers

a rectangular table is six times as long as it is wide. if the area is 96 ft^2, find the length and the width of the table

Deffense [45]

I found this for you. It even tells you how the answer was achieved.

7 0

4 years ago

I need help for number 55

Lubov Fominskaja [6]

#54 is wrong is A is says full to shaded

7 0

3 years ago

Read 2 more answers