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Luba_88 [7]
3 years ago
12

3. Factor.

Mathematics
1 answer:
sleet_krkn [62]3 years ago
5 0
It seems that some the work is already here, but I'd be glad to!! So for #3 which is 9x^2+15x, we can factor out both a 3 and an x (3x) so we know that 3x * 3x =9x^2 and 3x * 5 = 15x so once we take the 3x out of the equation, we are left with 3x(3x+5) and that's as far as you can factor.
For #4, we see that the common factor is 10m because 10m * 2n = 20mn and 10m * 3 = 30m so once we take 10m out of the original, it becomes 10m(2n-3)
For #5, this one the common factor is 4xy because 4xy * 2xy=8x^2y^2 and 4xy*x= 4x^2y and 4xy*3=12xy so once we take the 4xy out of the equation, it becomes 4xy(2xy-x-3)
Hope this helps!
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Two baskets contain snacks. The basket contain 12 bags of peanuts, of which 5 are reduced sodium and 8 granola bars, of which 2
Ghella [55]
There are a total of 20 snacks in each bag.  We consider the probability of picking a bag of peanuts with reduced sodium and then a granola bar with reduced sodium, then multiply by 2 (because we could pick them in the other order).

There is a 5/20 chance of picking a sodium-reduced bag of peanuts first, and a 2/20 chance of picking a sodium-reduced granola bar next.  Thus, the chance of picking them together in that order is 5/20*2/20=10/400, or 1/40.  Because we could pick the snacks in either order, we multiply by two, for a result of a 1/20 probability.
8 0
3 years ago
!!Please Help!! Find the value of z to the nearest tenth.
serg [7]

Answer:

x = 14\sqrt{2}

y = 14

z= 14\sqrt{3}

Step-by-step explanation:

Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.

Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that <em>x</em> will be the same as its respective leg, 14\sqrt{2}

Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.

Since <em>y</em> is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, <em>y</em> is 14. <em>z </em>is then 14\sqrt{3} using either Pythagorean Theorem or special right triangle properties for 30-60-90.

7 0
3 years ago
The total flying time for two flights is 6 hours. The flight time for the first flight is half of the second. How long is each f
lina2011 [118]
2x=6
2 represents the how many flights
x represents how long each was (in hours)
6 represents the total time for each flight( in hours)

Hope this helped!!!
:)
3 0
3 years ago
Read 2 more answers
Two perpendicular lines intersect on the y-axis. the equation of one line is 4y - x - 24 =0. determined the equation of the othe
Taya2010 [7]

Answer:

y  + 4x - 6 = 0

Step-by-step explanation:

Rearranging the given equation:-

4y = x + 24

y = 1/4 x + 6  

This has a y intercept of  (0, 6) and a slope of 1/4.

Thus, the other line has a slope of -4 and  passes through the point (0,6) also.

Using the Point-slope form of a straight line:-

y - y1 = m(x - x1)

y - 6 = -4(x - 0)

y  + 4x - 6 = 0  is the required equation  

4 0
3 years ago
(x+6) is a factor of f(x). Solve f(x)=0.<br>x3 - 52x – 96​
Mars2501 [29]
<h3>I'll teach you how to solve f(x)=0x63 - 52x – 96​</h3>

----------------------------------------------------------

f(x)=0x^3 - 52x – 96​

Apply rule:

0 * a= 0

0-52x-96

Group like terms:

-52x+0-96

Add/subtract the numbers:

0-96= -96

-52x-96

Your Answer Is -52x-96

plz mark me as brianliest if this helped :)

6 0
3 years ago
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