The changed digit is the third to the left of the decimal point, so is in the hundreds place.
The value of 8 hundred is 5 hundred more than the value of 3 hundred. The second number is 500 more than the first.
Answer:
y=-3x^2+12x+63
Step-by-step explanation:
y=-3(x-7)(x+3)
y=-3(x^2-4x-21)
y=-3x^2+12x+63
sin2x =12/13
cos2x = 5/13
tan2x = 12/5
STEP - BY - STEP EXPLANATION
What to find?
• sin2x
,
• cos2x
,
• tan2x
Given:
tanx = 2/3 = opposite / adjacent
We need to first make a sketch of the given problem.
Let h be the hypotenuse.
We need to find sinx and cos x, but to find sinx and cosx, first determine the value of h.
Using the Pythagoras theorem;
hypotenuse² = opposite² + adjacent²
h² = 2² + 3²
h² = 4 + 9
h² =13
Take the square root of both-side of the equation.
h =√13
This implies that hypotenuse = √13
We can now proceed to find the values of ainx and cosx.
Using the trigonometric ratio;
And we know that tanx =2/3
From the trigonometric identity;
sin 2x = 2sinxcosx
Substitute the value of sinx , cosx and then simplify.
Hence, sin2x = 12/13
cos2x = cos²x - sin²x
Substitute the value of cosx, sinx and simplify.
Hence, cos2x = 5/13
tan2x = 2tanx / 1- tan²x
OR
Hence, tan2x = 12/5
Therefore,
sin2x =12/13
cos2x = 5/13
tan2x = 12/5
We have that
y = 2(0.45)^x
in this problem
2-----------> is the Coefficient
0.45-------> is the Base
<span>x-----------> is the Exponent
we know that
</span><span>If
the base is less than 1 (but always greater than 0), the function will be
exponential decay
</span>It is decay because as x values
increase, y values decrease.
<span>0.45 < 1 and 0.45 > 0
therefore
the equation
</span>y = 2(0.45)^x
represents <span>exponential
decay
</span>
the answer is
exponential decay<span>
</span>
3.25 is the answer so copy down the answer its right