Answer:
x = 4.75
Step-by-step explanation:
<u>(5 +X</u><u> )/3</u> = 2 - <u> X/4</u>
<h3>
<u>(5 +X</u><u> )/3</u> = 8 - X </h3><h3>5+ X = 3 (8 - X) </h3><h3> 5+ X = 24 - 3X transposing terms</h3><h3>X+ 3X= 24 -5</h3><h3> 4X = 19</h3><h3> X = 19/4 </h3><h3>X = 4.75</h3>
9514 1404 393
Answer:
∠A = 44°
Step-by-step explanation:
In order to find the measure of angle A, you need to know the value of the variable x. This means you need some relation that you can solve to find x.
Happily, that relation is "the sum of angles in a triangle is 180°." This means ...
84° +(x +59)° +(x +51)° = 180°
(2x + 194)° = 180° . . . collect terms
2x = -14 . . . . . . . . . . divide by °, and subtract 194
x = -7 . . . . . . . . . . . .divide by 2
Now, the measure of angle A is ...
∠A = (x +51)° = (-7 +51)°
∠A = 44°
The equation of the new function is 
Explanation:
The Parent function is 
We need to determine the new function g(x) using the transformation by stretching the f(x) horizontally by a factor of 4 and shifting it 1 unit up.
The function transformation formula is given by

Where a stretches the function vertically
b compresses or stretches it horizontally,
c shifts the function left or right
d shifts the function up or down
Since, it is given that the function stretches horizontally by a factor of 4 and shifting it 1 unit up.
Hence,
and 
Substituting these values in the formula, we have,

Thus, the equation of the new function is 