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2 years ago

Find the x and y intercepts of the graph of the function

Mathematics

1 answer:

malfutka [58]2 years ago

7 0

keeping in mind that an intercept is where the axis gets intercepted or "intersected" or touched, so, let's check at what points does the graph touch the x-axis and y-axis, Check the picture below.

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"Find an integer, x, such that 5, 10, and x represent the lengths of the sides of an acute triangle.

Contact [7]

A, b, c - the lengths of the sides of the triangle
and a ≤ b ≤ c
then:
a + b > c and if the triangle is an acute triangle then a² + b² > c².

$1^o\\5\leq10\leq x\\\\\left\{\begin{array}{ccc}5+10 \ \textgreater \ x\\5^2+10^2 \ \textgreater \ x^2\end{array}\right\to\left\{\begin{array}{ccc}x \ \textless \ 15\\ x^2 \ \textless \ 125\end{array}\right\to\left\{\begin{array}{ccc}x \ \textless \ 15\\ x \ \textless \ \sqrt{125}\approx11.1\end{array}\right\\\\\boxed{x=11}\\\\2^o\\5\leq x\leq10\\\\\left\{\begin{array}{ccc}5+x \ \textgreater \ 10\\ 5^2+x^2 \ \textgreater \ 10^2\end{array}\right\to\left\{\begin{array}{ccc}x \ \textgreater \ 5\\ x^2 \ \textgreater \ 75\end{array}\right\to\left\{\begin{array}{ccc}x \ \textgreater \ 5\\ x \ \textgreater \ \sqrt{75}\approx8.7\end{array}\right\\\boxed{x=9}$

$3^o\\x\leq5\leq10\\\\\left\{\begin{array}{ccc}x +5 \ \textgreater \ 10\\ x^2+5^2 \ \textgreater \ 10^2\end{array}\right\to\left\{\begin{array}{ccc}x \ \textgreater \ 5\\ x^2 \ \textgreater \ 75\end{array}\right\to\left\{\begin{array}{ccc}x \ \textgreater \ 5\\ x \ \textgreater \ \sqrt{75}\approx8.7\end{array}\right\\\boxed{x\in\O}\\\\Answer:\boxed{x=9\ or\ x=11}\to your\ answer:\boxed{\boxed{x=11}}$

8 0

3 years ago

Read 2 more answers

A geologist visits 40 volcanoes in Alaska and California. 15% of the volcanoes are in California.

kotegsom [21]

Answer:

<h2>Most explained:</h2>

40% = 100%

15 = (100% - 15% = 85%) 85% in Alaska

California = 15% of 40 = (0.15 x 40) = 6

Alaska = 85% of 40 = (0.85 x 40) = 34

<h2>The simple way (or the way i found it simple):</h2>

<h3>(I found the simple way after i solve the first way)</h3>

Bye, i hope this helps.

<h3 />

3 0

2 years ago

A study shows that 70 out of 200 college students read the newspaper. Marysville College has 12,600 students.

Lubov Fominskaja [6]

Your answer would be 4,410

5 0

3 years ago

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Write two expressions that are equivalent to the expression below.<br> (9-0) + (9-c) + (9-c) + (9-C)

Nikolay [14]

Step-by-step explanation:

$4(9 - c) \\ 36 - 4c \\ an \: example \: of \: two \: equivalent \\ expression \: includes \: \\ the \: general \: experssion \: \\ and \: then \: the \: one \: that \: \\ the \: one \: that \: is \: factured$

4 0

3 years ago

Extra p!<br> Someone help me, Thanks!!

IRISSAK [1]

Answer:

Step-by-step explanation:

so confused right now

6 0

2 years ago

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