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Mnenie [13.5K]
2 years ago
5

Zach is building a cage for his gerbil. The area of the cage is 42 square inches.

Mathematics
1 answer:
Airida [17]2 years ago
3 0

Answer:

35

Step-by-step explanation:

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A+b/a-b=5/3 what are the following ratios? 3a:2b
Papessa [141]

Answer:

3 a : 2 b = 6 : 1

Step-by-step explanation:

<em>\frac{a + b}{a - b} = \frac{5}{3}</em>

<em>3 ( a + b) = 5 ( a - b) </em>

<em>3 a + 3 b = 5 a - 5 b </em>

<em>5 b + 3 b = 5 a - 3 a </em>

<em> 8 b = 2 a </em>

<em> 2 a = 8 b</em>

<em><u>a = 4 b</u></em>

<em>3 a = 3 × 4 b</em>

<em><u>3 a = 12 b</u></em>

<em>3 a: 2 b = 12 b : 2 b</em>

<em>3 a : 2 b = 6 : 1</em>

7 0
3 years ago
Read 2 more answers
Find f(2) if f(x)= (x +1)^2
Drupady [299]

Answer:

9

Step-by-step explanation:

substitute the x which is x= 2, so

f(2)= (2+1)^2

=(3)^2

=9

6 0
1 year ago
Read 2 more answers
How can I tell, when doing synthetic division, if the binomial is<br> a FACTOR of the dividend?
Alecsey [184]

If you get 0 as the last value in the bottom row, then the binomial is a factor of the dividend.

Let's say the binomial is of the form (x-k) and it multiplies with some other polynomial q(x) to get p(x), so,

p(x) = (x-k)*q(x)

If you plug in x = k, then,

p(k) = (k-k)*q(k)

p(k) = 0

The input x = k leads to the output y = 0. Therefore, if (x-k) is a factor of p(x), then x = k is a root of p(x).

It turns out that the last value in the bottom row of a synthetic division table is the remainder after long division. By the remainder theorem, p(k) = r where r is the remainder after dividing p(x) by (x-k). If r = 0, then (x-k) is a factor, p(k) = 0, and x = k is a root.

5 0
3 years ago
Jim uses the function f(x) = 0.7x + 23 to determine the amount he charges for each used
morpeh [17]
Given that <span>Jim uses the function f(x) = 0.7x + 23 to determine the amount he charges for each used drone he sells, where x is the original value of the drone and that t</span><span>he function g(x) = 1.08x is used to determine the amount a customer pays for a drone at Jim’s store including 8% sales tax.

</span> The <span>function to determine the total amount a customer pays for a used drone at Jim’s store including 8% sales tax is given by

f(x) + g(x) = 0.7 + 23 + 1.08x = 1.78x + 23.
</span>
3 0
3 years ago
What was the population of south Australia closest to in 2003?
Brrunno [24]
It would be 1531600

How I did it
 First I divided the percentage by 100. Example >> 0.6/100= 0.006
  Then I took 2002 population >> 1522475 +  0.006  x  1522475 = 1531609.85
6 0
3 years ago
Read 2 more answers
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