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1 year ago

What is the range of f(x) = 3x + 9?

Mathematics

1 answer:

ziro4ka [17]1 year ago

5 0

Answer:

The range is all real numbers.

Step-by-step explanation:

The function shown is a line (and not a horizontal line).

The range is all the y's on the graph or all the y's that can be generated by the equation of the function.

f(x) = 3x + 9

You could put ANY, literally any, number in place of the f(x) and be able to calculate an x for it. Looking at the graph of this line, you could go up and down the y-axis to infinity in either direction, and the graph of the line would be there.

The range is All Real Numbers.

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What is the length of CD ? In this diagram ABC EDC ? Please help !!!!

n200080 [17]

Answer:
CD = x = 4 units

Explanation:
We are given that the two triangles are similar. This means that we can set the similarity proportionality as follows:
$\frac{BC}{CD} = \frac{CA}{CE} = \frac{AB}{ED}$

W e have:
BC = 20 - x
AC = 20
CD = x
CE = 5

Substitute in the above proportionality and solve for x as follows:
$\frac{20-x}{x} = \frac{20}{5} = 4$

4x = 20 - x
5x = 20
x = 4

Based on he above:
CD = 4 units
BC = 20 - x = 20 - 4 = 16 units

Hope this helps :)

5 0

2 years ago

Read 2 more answers

Greatest common factors 4,8 Can u do a factor tree I need help with it

solong [7]

4. 8
/ \ / \
2 x 2. 4 x 2
/ \
2 x 2

4: 2x2
8: 2x2x2

The GCF is 4

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2 years ago

226Ra has a half-life of 1599 years. How much is left after 1000 years if the initial amount was 10 g?

Ray Of Light [21]

$\bf \textit{Amount for Exponential Decay using Half-Life}\\\\
A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{initial amount}\to &10\\
t=\textit{elapsed time}\to &1000\\
h=\textit{half-life}\to &1599
\end{cases}
\\\\\\
A=10\left( \frac{1}{2} \right)^{\frac{1000}{1599}}$

8 0

2 years ago

Based on the pattern of the drawings, which conjecture

anzhelika [568]

Answer:

The most reasonable answer would likely be the first.

"When a pair of parallel lines is intersected by a third line, the alternate exterior angles are congruent."

Step-by-step explanation:

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2 years ago

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Fatore a equação 2x²-3xy-2y²-2x-11y-12

Keith_Richards [23]

2x²-3xy-2y²-2x-11y-12

Write -3xy as a difference

2x²+xy-4xy-2y²-2x-11y-12

write -2x as a difference

2x²+xy-4xy-2y²+4x-6x-11y-12

Write -11y as a difference

2x²+xy-4xy-2y²+4x-6x-8y-3y-12

Factor out 2x from the expression

2x×(x-2y-3)+xy-2y²+4x-8y-3y-12

Factor out y from the expression

2x×(x-2y-3)+y×(x-2y-3)+4x-8y-12

Factor out 4 from the expression

2x×(x-2y-3)+y×(x-2y-3)+4(x-2y-3)

Factor out x-2y-3 from the expression

Answer: (x-2y-3)x(2x+y+4)

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2 years ago