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serg [7]
3 years ago
11

What is the simplified form of the quantity y-squared plus 7y plus 12 over the quantity y-squared plus 8y plus 15

Mathematics
1 answer:
Burka [1]3 years ago
8 0
Firstly, let's factorise each equation individually - to do this, find 2 numbers that when summed add to the value of the second term, and when multiplied give the value of the third term.

7 and 12 give us 4 and 3 (4+3=7, 4*3=12) -- 8 and 15 give us 5 and 3 (5+3=8, 5*3=15)

Now we can rewrite these equations as (y+4)(y+3) and (y+5)(y+3) respectively.

Putting this in a fraction: (y+4)(y+3)/(y+5)(y+3) -- We can clearly see that there is a y+3 on both sides of the fraction, and given there are no terms outside of the brackets being multiplied, we can directly cancel.

This gives us our final answer:
(y+4)/(y+5)
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Solve for X ...........
musickatia [10]

Answer:

x = 46

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

2(2 + x) = 6(6 + 10)

2(2 + x) = 6 × 16 = 96 ( divide both sides by 2 )

2 + x = 48 ( subtract 2 from both sides )

x = 46

5 0
3 years ago
Last year, a large trucking company delivered 5.5x10^5 tons of goods with an average value of $23,000 per ton. What was the tota
AleksandrR [38]
The total value is:
5. 5 x 10 ^5 * 23 x 10^3 = 
= $126.5 * 10^8 =
= $1.265 x 10^10
Answer: B )
4 0
3 years ago
Which of the following choices is the simple formula for the nth term of the following arithmetic sequence?
VladimirAG [237]
First, we start off with the nth term formula for an arithmetic sequence, which is 
a_{n} =a_{1}+(n-1)d

plug in the sequence numbers where they belong

a_{n}=5+(n-1)*(-4)

a_{n}=5+(-4n+4)
a_{n}=5-4n+4
a_{n}=-4n+9

And this is the final answer
-4n+9
4 0
3 years ago
Evaluate this exponential expression (27/8)^ 4/3<br><br> A: 9/2<br> B: 4/3<br> C: 81/16
valkas [14]

\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \left( \cfrac{27}{8} \right)^{\frac{4}{3}}\implies \left( \cfrac{3^3}{2^3} \right)^{\frac{4}{3}}\implies \left( \cfrac{3^{3\cdot \frac{4}{3}}}{2^{3\cdot \frac{4}{3}}} \right)\implies \cfrac{3^4}{2^4}\implies \cfrac{81}{16}

7 0
3 years ago
Which expression has the same value as the one below?<br>10 +(-3)​
Anna35 [415]
10+ (-3)=10-3=7 is the answer
4 0
3 years ago
Read 2 more answers
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