Answer:
![(-\infty,\frac{25}{24}]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%5Cfrac%7B25%7D%7B24%7D%5D)
Step-by-step explanation:
Assuming 
is a variable:
![4i-4(i+2)\geq6(8i-8)\\\\4i-4i+2\geq48i-48\\\\2\geq48i-48\\\\50\geq48i\\\\\frac{50}{48}\geq i\\ \\\frac{25}{24}\geq i\\ \\i\leq\frac{25}{24}\\ \\(-\infty,\frac{25}{24}]](https://tex.z-dn.net/?f=4i-4%28i%2B2%29%5Cgeq6%288i-8%29%5C%5C%5C%5C4i-4i%2B2%5Cgeq48i-48%5C%5C%5C%5C2%5Cgeq48i-48%5C%5C%5C%5C50%5Cgeq48i%5C%5C%5C%5C%5Cfrac%7B50%7D%7B48%7D%5Cgeq%20i%5C%5C%20%5C%5C%5Cfrac%7B25%7D%7B24%7D%5Cgeq%20i%5C%5C%20%5C%5Ci%5Cleq%5Cfrac%7B25%7D%7B24%7D%5C%5C%20%5C%5C%28-%5Cinfty%2C%5Cfrac%7B25%7D%7B24%7D%5D)
Answer:
The ratios are as follows for the given angle:
sineX=opposite/hypotenuse
cosineX=adjacent/hypotenuse
tangentX=opposite/adjacent
Insert the appropriate values for each:
7.) sinZ=24/40
8.) sinC=14/50
9.) cosZ=24/30
10.) tanC=27/36
11.) cosZ=12/15
12.) cosC=27/45
Answer:
y=3x+1 or Slope:3 and Y intercept: (0,1)
Step-by-step explanation:
Use the slope formula and the slope-intercept form to find the slope m and y-intercept b
.
Formula : y=mx+b
2+8-z=-24
^
10-z=-24
-10 -10
——————-
-z=14
———
-z -z
Z=14
Answer:
3x³ + 23x² + 63x + 55
Step-by-step explanation:
Given
(3x + 5)(x² + 6x + 11)
Each term in the second factor is multiplied by each term in the first factor, that is
3x(x² + 6x + 11) + 5(x² + 6x + 11) ← distribute both parenthesis
= 3x³ + 18x² + 33x + 5x² + 30x + 55 ← collect like terms
= 3x³ + 23x² + 63x + 55
