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STALIN [3.7K]
2 years ago
11

For the function f(x) =

Mathematics
1 answer:
mars1129 [50]2 years ago
8 0

Answer:

F=9

Step-by-step explanation:

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Find the slope and reduce of p=(3/4,1 1/4) q=(-1/2,-1)
sergij07 [2.7K]
\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
p&({{ \frac{3}{4}}}\quad ,&{{ \frac{1}{4}}})\quad 
%   (c,d)
q&({{ -\frac{1}{2}}}\quad ,&{{ -1}})
\end{array}

\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-1-\frac{1}{4}}{-\frac{1}{2}-\frac{3}{4}}\quad \cfrac{\leftarrow LCD=4}{\leftarrow LCD=4}
\\\\\\
\cfrac{\frac{-4-1}{4}}{\frac{-2\cdot 1-3}{4}}\implies \cfrac{\frac{-5}{4}}{\frac{-5}{4}}\implies \cfrac{-5}{4}\cdot \cfrac{4}{-5}\implies 1
7 0
3 years ago
What is the range of a function y=|x+3| -3 if the domain is x€R
Anastasy [175]

Answer:

y ≥−3

Step-by-step explanation:

1 By inspecting the graph, the range is:

y\ge -3y≥−3

Done

3 0
3 years ago
What is the solution to the following system of equations? x − 4y = 6 2x + 2y = 12 (0, 10) (10, 0) (6, 0) (0, 6)
frozen [14]

Answer:

(6,0)

Step-by-step explanation:

The given system has equations:

x-4y=6

2x+2y=12

Multiply the top equation by 2 to get:

2x-8y=12

2x+2y=12

Subtract the top equation form the bottom equation to get:

2x-2x+2y--8y=12-12

\implies 10y=0

\implies y=0

Put y=0 into x-4y=6

x-4*0=6

\implies x=6

Therefore the solution is (6,0)

4 0
3 years ago
The half-life of a certain radioactive material is 83 hours. An initial amount of the material has a mass of 67 kg. Write an exp
Anvisha [2.4K]

Answer:

  • Initial amount of the material is 67 kg
  • Hal-life is 83 hours

<u>The required equation is:</u>

  • m(x) = 67 * (1/2)^{x/83}, where m- remaining amount of the radioactive material, x - number of hours

<u>After 5 hours the material remains:</u>

  • m(5) = 67 * (1/2)^{5/83} = 64.260 (rounded)
4 0
2 years ago
What is the awnser to 23 56/6 - 78 65/6
lukranit [14]
-56 \frac{1}{2}  is your answer

3 0
3 years ago
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