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3 years ago

What is the value of k in the function ƒ(x) = 112 - kx if ƒ(-3) = 121?

1 answer:

6 0

f(x) = 112 - kx
f(-3) = 112 - k(-3)
f(-3) = 112 - (-3k)
f(-3) = 112 + 3k
121 = 112 + 3k
- 112 - 112
      9 = 3k
      3    3
      3 = k

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Select all of the equations that represent linear relationships.

ad-work [718]

There are linear relationships so long as the power of x is 1 when power of y is 1 / power of x is not 2 and above when power of y is 1. This is assuming you plot the vertical axis as y-axis and the horizontal axis as the x-axis.

So using this concept, the equation with linear relationships are:
1, 3, 4, and 5.

Hope this helps! :)

8 0

3 years ago

Read 2 more answers

Simplify.<br> 125x21 y33<br> Enter your answer in the box.

kkurt [141]

5x^7 , Y^11 is your answer

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4 years ago

A polling company reported that 33% of 2302 surveyed adults said that they play basketball. Complete parts (a) through (d) be

Evgen [1.6K]

Answer:

(a) The exact value that is 33% of 2302 is 759.66.

(b) No, the result from part (a) could not be the actual number of adults who said that they play basketball.

(c) The actual number of adults who said that they play basketball is 760.

(d) 11.82% of respondents said that they only play hockey.

Step-by-step explanation:

We are given that a polling company reported that 33% of 2302 surveyed adults said that they play basketball.

(a) The exact value that is 33% of 2302 is given by;

$33\% \text{ of } 2302$ = $\frac{33}{100}\times 2302$

= 759.66

(b) No, the result from part (a) could not be the actual number of adults who said that they play basketball because the value in part (a) is in fractions or in decimals and the number of people can't be in fractions. It must be a whole number.

(c) The actual number of adults who said that they play basketball is 760. {As 759.66 rounded to one decimal point}

(d) It is given that among the 2302 respondents, 272 said that they only play hockey.

Percentage of respondents who said that they only play hockey is given by;

= $\frac{272}{2302}\times 100$ = 11.82% ≈ 12%

3 0

3 years ago

A cashier can ring up 12 items per minute. How long will it take the cashier to ring up 72 items?

Talja [164]

Answer:

So it will take 6 minutes to ring up 72 items.

Step-by-step explanation:

Well this seems pretty simple just have to reads the question and know what to find.

So what we know :

A cashier can ring up 12 items per minute

So :

1 minute = 12 Minutes

And we have to find :

How long for 72 items

So since we know he can do 12 in a minute and it is asking how many minutes it will take for 72 we can divide.

So :

72 / 12

So it will take 6 minutes to ring up 72 items.

I hope this helps!

If you have any questions or concerns feel free to message me or comment. :)

8 0

3 years ago

HELP ME QUICK PLEASEEEE solve for x: 2/x-2+7/x^2-4=5/x

Anna35 [415]

$\displaystyle\\\\\frac{2}{x-2}+\frac{7}{x^2-4}=\frac{5}{x}\\\\\frac{^{x+2)}2~~~~~}{x-2}+\frac{7}{(x-2)(x+2)}=\frac{5}{x}\\\\\frac{2(x+2)}{(x-2)(x+2)}+\frac{7}{(x-2)(x+2)}=\frac{5}{x}\\\\\frac{2x+4+7}{x^2-4}=\frac{5}{x}\\\\\frac{2x+11}{x^2-4}=\frac{5}{x}\\\\5(x^2-4)=x(2x+11)\\\\5x^2-20=2x^2+11x\\\\5x^2-2x^2 -11x-20=0$

$\displaystyle\\3x^2-11x-20=0\\\\x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{11\pm\sqrt{121+4\cdot3\cdot20}}{2\cdot3}=\\\\=\frac{11\pm\sqrt{121+240}}{6}=\frac{11\pm\sqrt{361 }}{6}=\frac{11\pm19}{6}\\\\x_1=\frac{11-19}{6}=\frac{-8}{6}\\\\\boxed{\bf x_1=-\frac{4}{3}}\\\\x_2=\frac{11+19}{6}=\frac{30}{6}\\\\\boxed{\bf x_2=5}$

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4 years ago