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12345 [234]
3 years ago
8

you need two bottles of fertilizer for 42 feet perimeter. How many bottles do you need for a similar garden of 105 feet perimete

r?
Mathematics
2 answers:
mestny [16]3 years ago
7 0

5bottles are needed

Step-by-step explanation:

If two bottles of fertilizer are needed for 42 feet perimeter, for 105perimeters, the number of fertilizers needed can be gotten using the law of equality as shown below;

2bottles = 42 feet perimeters

x bottles = 105feet perimeters

Cross multiplying to get the number of bottles 'x' we will have;

x bottles × 42feet perimeter = 2bottles × 105feet perimeter

x bottles = 2bottles×105ft perimeter/42ft perimeters

x = 210/42

x = 5bottles

harkovskaia [24]3 years ago
4 0
5 bottles 4 is 84 and 1 is 21
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3 years ago
-3 1/2 - ( 4 1/4) <br> whats the answer?
Anna11 [10]

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Step-by-step explanation:

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F(x)=x^3+ax^2+bx+3 where a and b are constants. bx Given that when f (x) is divided by (x+2) the remainder is 7, (a) show that 2
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Part I - First synthetic division

You need to use synthetic division to come up with an expression for a and b:

(x + 2) is a factor, and the remainder is 7, so we can draw a synthetic division table...

coefficients = 1 for X^3; A for X^2; B for X^1; and 3

-2  |        1          A            B                 3
     
                        -2        -2(A-2)          4(A-2)-2B
 
            1        (A-2)    -2(A-2)+B      4(A-2)-2B + 3  
                            
                                    Remainder = 7

<u>So...</u>

4(A-2)-2B + 3 = 7

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-------------------------------------------------------------------------------------------------------------------
Part II - Second Synthetic Division

We draw another synthetic division table, this time with (x - 1), so the number on the left hand side will be +1

1  |        1          A            B                 3
     
                        1         (A+1)         A+B+1
 
             1      (A+1)      A+B+1       A+B+4 
                            
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<u>So...</u> 

A + B + 4 = 4

A + B = 0

<u>A = -B
</u>

-------------------------------------------------------------------------------------------------------------------
Part III - Solving for A and B with our two simultaneous equations

We know that<u> </u><u>A = -B</u><u /> and we also know that 2A - B = 6

Since we know that A is equal to -B We can substitute in A for -B, to get:

2A - B = 6

Therefore...

2A + A = 6

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<u>A = 2</u>

Again, as we know that A = -B, and as we have found that A = 2, we can see:

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Therefore...

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<u>B = -2
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Hopefully this answer is more useful than the last one, and isn't so confusing!

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