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Dvinal [7]
2 years ago
7

Solve for v. -9/8 = v - 1/2

Mathematics
1 answer:
Usimov [2.4K]2 years ago
3 0

Answer:

-  \frac{5}{8}

Step-by-step explanation:

-  \frac{9}{8}  = v -  \frac{1}{2}  \\  \\  \frac{1}{2}  -  \frac{9}{8}  = v \\  \\ \frac{4}{8}  -  \frac{9}{8}  = v \\  \\  \frac{4 - 9}{8}  = v \\  \\ v =  -  \frac{5}{8}  \\

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Write a polynomial function, p(x) with degree 3 that has p(7)=0
MArishka [77]

Answer:

p (x) = x^{3} - 21x^{2}+ 147x - 343

is the required polynomial with degree 3 and p ( 7 ) = 0

Step-by-step explanation:

Given:

p ( 7 ) = 0

To Find:

p ( x ) = ?

Solution:

Given p ( 7 ) = 0 that means substituting 7 in the polynomial function will get the value of the polynomial as 0.

Therefore zero's of the polynomial is seven i.e 7

Degree : Highest raise to power in the polynomial is the degree of the polynomial

We have the identity,

(a -b)^{3} = a^{3}-3a^{2}b +3ab^{2} - b^{3}

Take a = x

        b = 7

Substitute in the identity we get

(x -7)^{3} = x^{3}-3x^{2}(7) +3x(7)^{2} - 7^{3}\\(x -7)^{3} = x^{3}-21x^{2} +147x - 343

Which is the required Polynomial function in degree 3 and if we substitute 7 in the polynomial function will get the value of the polynomial function zero.

p ( 7 ) = 7³ - 21×7² + 147×7 - 7³

p ( 7 ) = 0

p (x) = x^{3} - 21x^{2}+ 147x - 343

4 0
3 years ago
Find the area of the blue sector. Use 3.14 for pi and round to the nearest hundredth.
Anni [7]
Answer:

25.64 in^2

Explanation:

<span><span>60360</span>⋅π<span>r2</span></span>, where <span>r=7</span>

<span>=<span>16</span>⋅3.14⋅<span>72</span>=<span>16</span>⋅3.14⋅49=25.64</span> in^2

4 0
3 years ago
Brittany has 50 beads. 70% of the beads are gold. How many beads does Brittany have?
Ket [755]

Answer: 35 gold beads and 15 non-gold beads

Step-by-step explanation:

70% of 50

.70×50 = 35

50 - 35 = 15

6 0
3 years ago
5x+4y=-14 <br>3x+6y=6<br> solve the system below by the elimation​
lana66690 [7]

Answer:

y = 4

x = -6

Step-by-step explanation:

multiply first equation by 3

3×(5x+4y)= -14 ➡ 15x + 12y = -42

multiply second equation by -5

-5×(3x+6y)= 6➡ -15x -30y = -30

now add both equations up

15x +12y -15x -30y = -42 -30 (15x will eliminate -15x)

-18y = -72

y = 4 use this to find value of x

3x + 6×4 = 6 ➡ ex = -18 ➡ x = -6

8 0
3 years ago
Please I need the answer quickly
USPshnik [31]
Well, for number 15, this is what I came up with, I hope it is what your teacher is looking for: 
So it starts out with 3 butterflies, and it doubles every minute: 
3x2 = 6  That is for the first minute 
6x2 = 12 That is for the second minute 
12x2 = 24 That is for the third minute 
24x2 = 48 That is for the fourth minute

So, It asks for using the power of 2 in your answer, that is what I came up with for part A. 

For part B I would say something like this: 

X represents the number of butterflies left. 
The equation, using the information above would be this:

48-7 = X
Then simplify, which would leave you with 41 butterflies. 

I hope this helps! :)


4 0
3 years ago
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