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allochka39001 [22]
3 years ago
12

I have the equation. 16x^0+2x^2*y^-1 How do I solve the equation if x = 2 and y = 4?

Mathematics
1 answer:
vaieri [72.5K]3 years ago
8 0

Answer:

18

Step-by-step explanation:

\\  \sf16 {x}^{0}  + 2 {x}^{2}  \times  {y}^{ - 1}

Now putting the values of x and y.

\\  \sf16 \times  {2}^{0} + 2 \times  {2}^{2}   \times  {4}^{ - 1}

\\  \sf = 16 \times 1 + 2 \times 4 \times  \frac{1}{ {4}}

<u>\\  \sf = 16 + 2</u>

<u>\\  \sf = 18</u>

Note:

•If the power of a number is 0 then it's value will be 1.

•If the power of a number is negative then reciprocal the number to make the power positive.

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Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (Enter your answers as a comma-
Ostrovityanka [42]

Answer:

2.25

Step-by-step explanation:

The computation of the number c that satisfied is shown below:

Given that

f(x) = \sqrt{x}

Interval = (0,9)

According to the Rolle's mean value theorem,

If f(x) is continuous in {a,b) and it is distinct also

And, f(a) ≠ f(b) so its existance should be at least one value

i.e

f^i(c) = \frac{f(b) - f(a)}{b -a }

After this,

f(x) = \sqrt{x} \\\\ f^i(x) = \frac{1}{2}x ^{\frac{1}{2} - 1} \\\\ =  \frac{1}{2}x ^{\frac{-1}{2}

f^i(x) = \frac{1}{{2}\sqrt{x} } = f^i(c) = \frac{1}{{2}\sqrt{c} } \\\\\a = 0, f (a) = f(o) = \sqrt{0} = 0 \\\\\ b = 9 , f (b) = f(a) = \sqrt{9} = 3\\

After this,

Put the values of a and b to the above equation

f^i(c) = \frac{f(b) - f(a)}{b - a}  \\\\ \frac{1}{{2}\sqrt{c} } = \frac{3 -0}{9-0}  \\\\ \frac{1}{\sqrt[2]{c} } = \frac{3}{9} \\\\ \frac{1}{\sqrt[2]{c} } = \frac{1}{3} \\\\ \sqrt[2]{c} = 3\\\\\sqrt{c} = \frac{3}{2} \\\\ c = \frac{9}{4}

= 2.25

4 0
3 years ago
Chef Selena is making her special dish that requires pasta, sauce, and onions. She has 5 1/8 pounds of pasta, 6 pounds of sauce,
arlik [135]

Answer:

\text{Total Weight of Food Made}, x=5\frac{1}{8}+6+4\frac{7}{8}\\\text{Number of Servings}, y=x \div \frac{1}{2}

Step-by-step explanation:

The Weight of Ingredients to be used by Chef Selena are:

  • 5\frac{1}{8} pounds of pasta,
  • 6 pounds of sauce; and
  • 4\frac{7}{8} pounds of onions.

Total Weight of Food Made, x

=5\frac{1}{8}+6+4\frac{7}{8}\\=5+6+4+\frac{1}{8}+\frac{7}{8}\\=16 \: Pounds

Since each serving is \frac{1}{2} Pounds

Number of Servings of her dish, y

16 \div \frac{1}{2}\\ =32 \: Servings

The two equations needed to solve the problem are therefore:

\text{Total Weight of Food Made}, x=5\frac{1}{8}+6+4\frac{7}{8}\\\text{Number of Servings}, y=x \div \frac{1}{2}

4 0
2 years ago
Yuki bought a pound of confetti for 12$. What is the price, in dollars, per ounce of confetti?
Likurg_2 [28]

Answer:

Yukio will pay $2 per ounce for the confetti

Step-by-step explanation:

Divide 12 and 16 that equals 0.75 then multiply 0.75 by 2 four times. and you get 2

6 0
2 years ago
X = <br><br> y = <br><br> m ∠ H = <br><br> m ∠ G =
Lorico [155]

Answer:

x=53

y=26

H=106

G=93

Step-by-step explanation:

By the inscribed quadrilateral conjecture:

2x+(x+21)=180\\(3y+9)+(4y-11)=180\\3x+21=180\\3x=159\\x=53\\7y-2=180\\7y=182\\y=26\\H=2(53)=106\\G=(4(26)-11)=104-11=93

Hope this helps!

4 0
3 years ago
How do you solve (x+4)2 ?
Savatey [412]

Answer:

find the value of x or do

(4x)2

Step-by-step explanation:

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8 0
3 years ago
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