2 years ago

) On a number line, what is the distance between -5 and -3? Respond in terms of absolute value.

Mathematics

2 answers:

gavmur [86]2 years ago

7 0

Answer:

Step-by-step explanation:

There are 2 units of distance separating -5 and -3.

galben [10]2 years ago

5 0

An absolute value of 2 units

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What percent of the muffins were carrots

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Answer:

Step-by-step explanation:

Muffins aren't carrots, unless they are carrot muffins.

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2 years ago

Finding values or<br> k(x) = x - 2<br> h(x) = x2 +1<br> (h + k)(2) =

Serjik [45]

Answer:

Step-by-step explanation:

$(h+k)(x)=h(x)+k(x)\\\\\bold{METHOD\ 1:}\\\\k(x)=x-2,\ h(x)=x^2+1\\\\(k+h)(2)=h(2)+k(2)\\\\\text{Calculate}\ h(2)\ \text{and}\ k(2).\\\text{Put}\ x=2\ \text{to the equations of the functions}\\\\h(2)=2^2+1=4+1=5\\k(2)=2-2=0\\\\\text\\\\\text{Substitute:}\\\\(h+k)(2)=5+0=5$

$\bold{METHOD\ 2:}\\\\k(x)=x-2,\ h(x)=x^2+1\\\\(h+k)(x)=h(x)+k(x)=(x^2+1)+(x-2)=x^2+x-1\\\\(h+k)(2)-\text{put}\ x=2\\\\(h+k)(2)=2^2+2-1=4+2-1=6-1=5$

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2 years ago

Two consecutive whole numbers such that the sum of their squares is 13

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The square root of 169 is 13 and 170 is 13.03

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2 years ago

the RATIO of floor seats to balcony seats in a theaters is 20:1. does this theater have more floor seats or more balcony seats?

GalinKa [24]

Yes, this theater has more floor seats than balcony seats simply because of the ratio. Your answer is actually in the question. For example, if you have 100 floor seats, then according to the ratio you should only have 5 balcony seats. So yes, there are more floor seats than balcony seats.

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4) An arithmetic sequence has a 7th term of 54 and a 13th term of 94. Find the common difference

san4es73 [151]

Answer:

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Step-by-step explanation:

Every nth term takes the form of a + n*d, where a is the first term.

So 7th term = (54 = a + 7d), 13th term = (94 = a + 13d).

equate them both:

94 - 13d = 54 - 7d

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d = 40/6

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2 years ago