Answer:
x=8
Step-by-step explanation:
If the value of x varies directly as the value of y we can say they are directly proportional. This implies that when y increases x will increase too, and when y decreases x will also decrease.
If x=16 when y=3/4 we can write their relation as:
x/y = 16/(3/4) = 16*(4/3) = 64/3
So, for every value of y, the ratio x/y must maintain equal to 64/3 because both values are proportional.
Now we can see what happens to x when y varies. If y=3/8:
x/(3/8) = 64/3
Multiply both sides by 3/8 to eliminate the 3/8 in the denominator.
x/(3/8) * (3/8) = (64/3) * (3/8)
See that we have a 3 multiplying and another dividing, we can eliminate them.
x = 64/8
x = 8
So, if y decreases to 3/8 x will decrease to 8. Notice that y is decreasing in a half as 3/8 is the half of 3/4, and x is also decreasing in a half from 16 to 8, what makes sense.
Answer:
see explanation
Step-by-step explanation:
using the identity
cos2a = 2cos²a - 1 , then
cos2a
= 2[ 
(a + 
) ]² - 1
= 2 [ 
(a² + 
+ 2) ] - 1
= (a² + ) + 1 - 1
= (a² + ) ← thus verified
Answer:
k = -7
Step-by-step explanation:
Find the difference of the y-values of both vertexes:
f(x): y = 1
g(x): y = -6
g(x) - f(x)
-6 - 1 = -7
Answer:
The answer to your question is 2x² + 3x + Remainder (17x - 7)/ ( 2x⁴ + 3x³ - 4x² + 5x - 7)
Step-by-step explanation:
2x² + 3x
x² - 4 2x⁴ + 3x³ - 4x² + 5x - 7
-2x⁴ + 4x²
0 + 3x³ + 0 + 5x
- 3x³ +12x
0 +17x - 7
Quotient = 2x² + 3x
Remainder = 17x - 7
Solution = 2x² + 3x + (17x - 7)/ ( 2x⁴ + 3x³ - 4x² + 5x - 7)
Process
1.- Divide the first term of the divident by the first term of the divisor and place the result above the first term of the divident.
2.- Multiply the result of the division (2x²) by the first term of the divisor and change the sign of the result.
3.- Multiply the result (2x²) by the second term of the divisor and place the result below the like term.
4.- Add the results.
5.- Continue with this process until the remainder be lower than the divisor.
I believe 14.
95 divided by 7 is 13.57 so Round up to 14.
