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fgiga [73]
3 years ago
8

D 25

Mathematics
1 answer:
Nana76 [90]3 years ago
7 0

Answer:

i can't see the pic

Step-by-step explanation:

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Anyone know the answer?
omeli [17]

The answer is 20.24

After rounding, it becomes 20.2

7 0
3 years ago
What is the solution for x in the given equation? The square root of 9x +7 + the square root of 2x = 7
cestrela7 [59]

Answer:

The solution is x =2 for the given equation \sqrt{9x+7} +\sqrt{2x}=7

Step-by-step explanation:

We need to find the solution for x in the given equation.

\sqrt{9x+7} +\sqrt{2x}=7

Solving:

Subtract \sqrt{2x} from both sides

\sqrt{9x+7} =7-\sqrt{2x}

Taking square on both sides

(\sqrt{9x+7})^2 =(7-\sqrt{2x})^2\\Using\,\, (a-b)^2 = a^2-2ab-b^2\\9x+7=(7)^2-2(7)(\sqrt{2x})+(\sqrt{2x})^2\\9x+7=49-14\sqrt{2x}+2x\\9x-2x+7-49=-14\sqrt{2x}\\7x-42=-14\sqrt{2x}\\Taking\,\,square\,\,on\,\,both\,\,sides\\(7x-42)^2=(-14\sqrt{2x})^2\\49x^2-2(7x)(42)+(42)^2= 196(2x)\\49x^2-588x+1764=392x\\49x^2-588x+1764-392x=0\\49x^2-980x+1764=0\\Using \,\,quadratic \,\, equation  \,\,to \,\, find \,\, value \,\, of \,\, x \\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\a= 49, \, b= -980 \,\,and\,\, c = 1764

Putting values and solving

x=\frac{-(-980)\pm\sqrt{(-980)^2-4(49)(1760)}}{2(49)}\\x=\frac{980\pm\sqrt{614656}}{98}\\Solving\\x=18 \,\, and x =2

Verifying the solution by putting values of x in given equation

Putting x=18

\sqrt{9x+7} +\sqrt{2x}=7\\\sqrt{9(18)+7} +\sqrt{2(18)}=7\\\sqrt{169} +\sqrt{36}=7\\13+6=7\\19\neq 7

So, x=18 is not solution o given equation.

Putting x = 2

\sqrt{9x+7} +\sqrt{2x}=7\\\sqrt{9(2)+7} +\sqrt{2(2)}=7\\\sqrt{25} +\sqrt{4}=7\\5+2=7\\7=7

So, x=2 satisfies the equation

The solution is x =2 for the given equation \sqrt{9x+7} +\sqrt{2x}=7

7 0
3 years ago
If the maximum value of y =-x²+ax+b is 8 when x = 3, find the values of a and b​
anzhelika [568]

Answer:

a = 6 and b = -1.

Step-by-step explanation:

To find the maximum value of y = -x²+ ax + b we differentiate it with respect to x to find the value of x at which it is maximum.

So dy/dx = d(-x²+ ax + b)/dx = -2x + a

we equate it to zero.

-2x + a = 0

-2x = -a

a = 2x

Now, given that x = 3 at the maximum value,

a = 2x = 2(3) = 6

Also, substituting y = 8 and x = 3 into y, we have

y = -x²+ ax + b

8 = -(3)²+ a(3) + b

8 = -9 + 3a + b

3a + b = 8 + 9

3a + b = 17

So, b = 17 - 3a

substituting a = 6, we have

b = 17 - 3(6)

b = 17 - 18

b = -1

So, a = 6 and b = -1.

5 0
3 years ago
Jeanette grew 12 flowers with 2 seeds packets how many seed packets does jeanntte need to have a total of 18 flowers in the grad
insens350 [35]

Answer: 3 packets

12/2 = 6 seeds per packets

18/6 = 3 packets

7 0
3 years ago
Read 2 more answers
Which of these is a simplified form of the equation 7p + 4 = – p + 9 + 2p + 3p? (1 point) 13p = 13 3p = 5 7 = 4 11 = 15
Rudiy27
Combine the "like terms" in  <span>7p + 4 = – p + 9 + 2p + 3p:

7p + 4 = 4p + 9    Again, combine like terms, obtaining    3p = 5.

Solving for p,    p = 5/3</span>
5 0
3 years ago
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