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Ulleksa [173]
4 years ago
13

What is Z for the equation 1/2 z=-3/4+1/4z −3 −1 1 3

Mathematics
1 answer:
dolphi86 [110]4 years ago
6 0
1)
multiply all by the least common multiply:

(\frac{1}{2}  ) \times 4 = 2

( -  \frac{3}{4} ) \times 4 = -  3

( \frac{1}{4} ) \times 4 = 1
+ 1z =  - 3
z =   \frac{ - 3}{1}
z =  - 3
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The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence? 14/1
mina [271]
a_1=-3 \\ a_{15}=53 \\ \\ d= \frac{53-(-3)}{15-1}= \frac{56}{14}=4

The answer is d=4
5 0
4 years ago
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If x varies directly as y, and y=6 when x=27, find x when y=2
shusha [124]

Answer:

x = 9

Step-by-step explanation:

Given y varies directly as y then the equation relating them is

x = ky ← k is the constant of variation

To find k use the condition y = 6 when x = 27

27 = 6k ( divide both sides by 6 )

4.5 = k

x = 4.5y ← equation of variation

When y = 2 , then

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3 years ago
What is the value of y = sin (? when ? = 0°?
Montano1993 [528]
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Y=0
3 0
3 years ago
The sum of squares of three consecutive numbers is 77 find the numbers​
ollegr [7]

Answer:

4,5,6 are the three consecutive numbers. 16, 25 and 36 are their squares.

Step-by-step explanation:

Let the three consecutive numbers be x, (x+1), (x+2)

Now, the squares of these three numbers are  x^{2} ,(x+1)^{2} ,(x+2)^{2}

Sum = 77

∴by the problem ,

x^{2} +(x+1)^{2}+(x+2)^{2}  = 77\\x^{2} +(x^{2} +2x+1)+(x^{2}+4x +4) = 77\\x^{2} +x^{2} +2x+1+x^{2} +4x +4 = 77\\3x^{2} +6x+5 = 77\\3x^{2} +6x = 77-5\\3x^{2} + 6x = 72\\3x^{2} +6x-72= 0\\

{Taking 3 common }

x^{2} +2x- 24 = 0\\

{By factorization}

x^{2} +2x- 24 =0\\ x^{2} +6x-4x-24=0\\x(x+6)-4(x+6)=0\\(x+6)(x-4)=0\\

Therfore,

x= -6,4\\

<em>X can't be negetive </em>

∴ x =4\\x+1=5\\x+2=6

The squares of the three consecutive numbers are 16, 25, 36

The three consecutive numbers whose sum is 77 are 4, 5, 6

3 0
4 years ago
13 more than 4 times a number is negative 91 how would i find the number?
alekssr [168]
<span>13 more than 4 times a number is negative 91 

</span>Convert to numbers: 


13 more than 4: 4+13

times a number: (x)

is negative 91: = -91

Put it together: 

4x+13=-91

                   x = -26

                  



5 0
4 years ago
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