If you shift the linear parent function, f(x) = x, down 6 units, what is the

Mathematics

1 answer:

Tpy6a [65]3 years ago

3 0

Answer:

f(x) = x - 6

Step-by-step explanation:

The original function would go through (0,0) since you shift the function down 6 units, it will go through (0,-6)

so, the equation of the line would be f(x) = x - 6

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Write the expressions without using log. Can someone please help with this?

goldenfox [79]

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\textit{Logarithm of rationals}\\\\
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\\\\\\
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3 years ago

Minimum point of the quadratic x^2+6x-2

WITCHER [35]

Answer:

(-3,-11)

Step-by-step explanation:

Compare the given quadratic equation with the general quadratic equation.

a=1, b=6 and c=-2

$x=-\dfrac{(6)}{2(1)}\\=-3$

Subsitute $-3$ for $x$ in given quadratic equation.

$y=(-3)^2+6(-3)-2\\=9-18-2\\=-11$

The minimum point is (-3,-11).

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2 years ago

Elias was given a lock for his school locker. The lock contains numbers between

daser333 [38]

Answer:

34,220

Step-by-step explanation:

Because order doesn't matter, but the numbers can't be repeated, we need to find the number of combinations where 3 individual numbers can be chosen out of 60 possible numbers using the binomial coefficient:

$\binom{n}{k}=\frac{n!}{k!(n-k)!}\\ \\\binom{60}{3}=\frac{60!}{3!(60-3)!}\\\\\binom{60}{3}=\frac{60!}{3!(57)!}\\\\\binom{60}{3}=\frac{60*59*58}{3*2*1}\\ \\\binom{60}{3}=34220$