Estimate the measure of the following angles
2 answers:
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Answer:
x equals five thirteenths
Step-by-step explanation:
To solve this, we will follow the steps below;
× x +
= 4 × x
+
= 4x
= 4x
Multiply both-side of the equation by 4
× 4= 4x × 4
On the left-hand side of the equation 4 will cancel-out 4, thus the equation becomes;
3x + 5 = 16x
subtract 3x from both-side of the equation
16x - 3x = 5
13x = 5
Divide both-side of the equation by 13
=
(On the left-hand side of the equation 13 at the numerator will cancel-out 13 at the denominator while on the right-hand side of the equation 5 will be divided by 13)
x =
x equals five thirteenths
Because this is a fourth degree that will be tricky to factor as it is, we will do a u substitution. Let . We can now rewrite that polynomial in terms of u:
. Filling into the quadratic formula we have
. Simplifying down
and
or
. That means that u = 8 or u = -1. But don't forget that we let
, so we have to put x-squared back in for u. That gives us
which simplifies down to
. That also gives us
. When we take the square root of -1, we have to use the fact that -1 = i^2, so we sub that in to get
. All in all, your solutions are as follows:
which is choice b.
Given:
w be the weight in pounds of a baby tigers.
To find:
The inequality if baby tigers can be no larger than 4 pounds.
Solution:
Baby tigers can be no larger than 4 pounds. It mean weight of baby tigers cannot be greater than 4. In other words, the weight of the baby tigers must be less than or equal to 4.
Let w represents weight in pounds and the weight of the baby tigers must be less than or equal to 4. So,
Therefore, the required inequality is .