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2 years ago

Colin and Brian were playing darts. Colin scored 91. Brian scored 9 more than Colin. What was their combined score?

1 answer:

6 0

Answer:
The combined score was 191
Explanation:
91 (Colin’s score) + 9 (how many more Brian had than Colin) = 100 (Brian’s score)
91 (Colin’s score) + 100 (Brian’s score) = 191 (combined score)

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Identify whether each value of x is a discontinuity of the function by typing asymptote, hole, or neither. 5x/ x3 + 5x2 + 6x

tatiyna

Answer: hole at x = 0, asymptotes at x = -2 and x = -3

<u>Step-by-step explanation:</u>

$\frac{5x}{x^{3} + 5x^{2} + 6x}$

= $\frac{5x}{x(x^{2}+5x + 6)}$

= $\frac{5x}{x(x+2)(x+3)}$

x ≠ 0 ---> the x cancels out so this is a hole

x + 2 ≠ 0 ---> x ≠ -2 ---> asymptote at x = -2

x + 3 ≠ 0 ---> x ≠ -3 ---> asymptote at x = -3

3 0

3 years ago

Read 2 more answers

Write a formula for the function g(x) obtained when the graph of f(x)= square root x is shifted up 1 unit and to the left 9 unit

ch4aika [34]

$\bf ~~~~~~~~~~~~\textit{function transformations}
\\\\\\
f(x)= A( Bx+ C)+ D
\\\\
~~~~y= A( Bx+ C)+ D
\\\\
f(x)= A\sqrt{ Bx+ C}+ D
\\\\
f(x)= A(\mathbb{R})^{ Bx+ C}+ D
\\\\
f(x)= A sin\left( B x+ C \right)+ D
\\\\[-0.35em]
~\dotfill\\\\
\bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\
\bullet \textit{ flips it upside-down if } A\textit{ is negative}\\
~~~~~~\textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if } B\textit{ is negative}$

$\bf ~~~~~~\textit{reflection over the y-axis}
\\\\
\bullet \textit{ horizontal shift by }\frac{ C}{ B}\\
~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}\\\\
~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by } D\\
~~~~~~if\ D\textit{ is negative, downwards}\\\\
~~~~~~if\ D\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{ B}$

with that template in mind, let's take a peek.

$\bf f(x)=\sqrt{x}~\hspace{7em}\stackrel{\textit{up by 1}}{D=1}\qquad \stackrel{\textit{left by 9}}{C=9}
\\\\[-0.35em]
~\dotfill\\\\
g(x)=\stackrel{A}{1}\sqrt{\stackrel{B}{1}x+\stackrel{C}{0}}+\stackrel{D}{0}\implies \stackrel{\textit{shifted}}{g(x)=\stackrel{A}{1}\sqrt{\stackrel{B}{1}x+\stackrel{C}{9}}+\stackrel{D}{1}}\implies \blacktriangleright g(x)=\sqrt{x+9}+1 \blacktriangleleft$

4 0

3 years ago

Find fifth roots of z+32= 0 and draw its graph

madreJ [45]

Answer:

$\sqrt[5]{z} = \sqrt[5]{(-2)^{5} } \therefore \sqrt[5]{z} = -2$

Step-by-step explanation:

i) z = -32

ii) $\sqrt[5]{z} = \sqrt[5]{(-2)^{5} } \therefore \sqrt[5]{z} = -2$

8 0

3 years ago

Please answerrree my quess

KengaRu [80]

Answer: 2 197/1000

Explanation:

(1 3/10)^3
= (13/10)^3
= 13^3/10^3
= 2197/1000
= 2 197/1000

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3 years ago

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Free_Kalibri [48]

Answer:

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Step-by-step explanation:

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2 years ago