X=6
y=7
6+7
= 13
1/2(6) + 7
= 3 +7
=10
Answer:
(-3,8)
Step-by-step explanation:
When reflecting over the y-axis, you are switching from positive to negative x-values. Since 3 was already positive, we change the integer and in this case, to negative, so it becomes -3. Since the y value remains the same we don’t change the 8. So (-3,8)
I hope this helps!
Please give thanks or brainliest if this helps!
1.49/3
0.5 dollars per feet.
This is a fraction equal to 1.49/3.
We want a unit rate where 1 is the denominator, so we divide the top and bottom by 3.
The answer is 0.49666667, which can be rounded to 0.5
Answer:
x₂ = 7.9156
Step-by-step explanation:
Given the function ln(x)=10-x with initial value x₀ = 9, we are to find the second approximation value x₂ using the Newton's method. According to Newtons method xₙ₊₁ = xₙ - f(xₙ)/f'(xₙ)
If f(x) = ln(x)+x-10
f'(x) = 1/x + 1
f(9) = ln9+9-10
f(9) = ln9- 1
f(9) = 2.1972 - 1
f(9) = 1.1972
f'(9) = 1/9 + 1
f'(9) = 10/9
f'(9) = 1.1111
x₁ = x₀ - f(x₀)/f'(x₀)
x₁ = 9 - 1.1972/1.1111
x₁ = 9 - 1.0775
x₁ = 7.9225
x₂ = x₁ - f(x₁)/f'(x₁)
x₂ = 7.9225 - f(7.9225)/f'(7.9225)
f(7.9225) = ln7.9225 + 7.9225 -10
f(7.9225) = 2.0697 + 7.9225 -10
f(7.9225) = 0.0078
f'(7.9225) = 1/7.9225 + 1
f'(7.9225) = 0.1262+1
f'(7.9225) = 1.1262
x₂ = 7.9225 - 0.0078/1.1262
x₂ = 7.9225 - 0.006926
x₂ = 7.9156
<em>Hence the approximate value of x₂ is 7.9156</em>
First we need to convert the mixed umber to an improper fraction...
3 2/9
Multiply the denominator by the whole number the. add the numerator the. put that over the original denominator.
9×3 = 27 + 2 = 29/9
now we can multiply the two fractions... numerator × numerator and denominator × denominator.
29/9 × 7/3 = 203/27
reduce the fraction to 7 14/27
