Answer:
x = 41; B = 41°; A = 77°
Step-by-step explanation:
All of the angles add up to 180 so to solve for X you do (x) + (2x-5) + (62) = 180. Solve for X and you get 41. Lastly plut the answer back into the equation.
The Cecile factored the polynomial correctly by factor 16 x squared minus 9 using the X-method of factorization.
<h3>What is factor of polynomial?</h3>
Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.
The given polynomial expression is,

Now, Cecile add 0x as,

Now, here the product of 16 and 9 is 144. Therefore, the factors must have the product of 144 and sum of 0. Thus, by using the split the factor method as,

Thus, the Cecile factored the polynomial correctly by factor 16 x squared minus 9 using the X-method of factorization.
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The exponential equation that can model the value of the camper van , in x years is y = 38000*(0.85)ˣ .
In the question ,
it is given that
the present value of the camper van (P₀) = $38000
given the depreciation rate is 15% each year (r)= -0.15
The future value y ,of the camper van can be given by the formula
y = P₀*(1 + r)ˣ
On putting the values , we get
y = 38000*( 1 - 0.15)ˣ
y = 38000*(0.85)ˣ
Therefore , The exponential equation that can model the value of the camper van , in x years is y = 38000*(0.85)ˣ .
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Answer:
A
Step-by-step explanation:
When solving for x as an exponent, we need to use logarithms in order to undo the operation and rearrange the terms. We use log rules to bring down the exponent and solve. Logarithms are the inverse operations to exponents and vice versa. We have one special kind of logarithm called the natural logarithm whose base is e. We write it as ln. Since our base is e here, we will use the natural logarithm to rearrange and isolate x.

We begin by applying the natural logarithm to each side.

Log rules allow use to rearrange the exponent as multiplication in front of the log.

ln e as an inverse simplifies to 1.

We now apply the inverse operations for subtraction and multiplication.

Option A is correct.
Volume = length * width * height (V = lwh)