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Brums [2.3K]
3 years ago
9

4/7 is the result when 1/2 and x are added.

Mathematics
2 answers:
Vedmedyk [2.9K]3 years ago
6 0
4/7=1/2+x

Find a common demominator. ( sorry I spelled it wrong)
8/14=7/14+x

Subtract 7/14 from each side.
8/14-7/14=7/14-714+x
1/14=x
1/14 is the answer
Alex_Xolod [135]3 years ago
5 0

Answer:

\frac{1}{14}

Step-by-step explanation:

\frac{4}{7} is the result when 1/2 and x are added.

Frame an equation using the given statement

\frac{4}{7} =\frac{1}{2}+x

To solve the equation for x , subtract 1/2 on both sides

\frac{4}{7} - \frac{1}{2}=x

To add or subtract fractions, the denominator should be same

LCD is 14

\frac{8}{14} - \frac{7}{14}=x

Now subtract the fractions

\frac{1}{14}=x

\frac{4}{7} is the result when 1/2 and  \frac{1}{14} are added.

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Given the function: f(x) = 2x3 - 3/2x, find f(-4).
Sergeu [11.5K]

Answer:

D) -122

Step-by-step explanation:

Given:

f(x) = 2x^3-\frac{3}2x

We need to find f(-4).

Now by substituting the value of x =-4 in above equation we get;

f(-4)= 2\times(-4)^3-\frac{3}{2}\times(-4)\\

By using PEDMAS we will solve for exponential function first we get;

Now we know that (-4)^3=-64

So we get;

f(-4)= 2\times(-64)-\frac{3}{2}\times(-4)\\

Now using PEDMAS we will solve division.

f(-4)= 2\times(-64)-1.5\times(-4)

Now using PEDMAS we solve multiplication.

f(-4)= -128+6

Finally by subtraction we get;

f(-4)= -122

5 0
3 years ago
What is the value of k in the equation k\3 -5=34
Alex
If wrong i apologize but for that equation i got the answer K=117
4 0
4 years ago
Read 2 more answers
What is the length of the diagonal, ddd, of the rectangular prism shown below?
wel

Answer:

7

Step-by-step explanation:

Its 7 because khan academy and i know it

3 0
3 years ago
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What is the area of a parallelogram with a height of 7 feet and a base of 12 feet?
Vesna [10]

Answer:

84ft^2

Step-by-step explanation:

Relying on formula S(area) =a(base) *h(height )

3 0
3 years ago
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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
Vlad1618 [11]
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

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

4A - 8 - 2B =  4

4A - 2B      = 12

2A - B = 6
Proved

-------------------------------------------------------------------------------------------------------------------
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 
                            
                                    Remainder = 4

<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

3A = 6

<u>A = 2</u>

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

A = -B

Therefore...

2 = -B

<u>B = -2
</u>
So our final answer is <u>A = 2, B = -2</u><u />

Hopefully this answer is more useful than the last one, and isn't so confusing!

8 0
3 years ago
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