Answer:
=26x^3−12x^2+5x+7
Step-by-step explanation:
2x^3−3x+11−(3x^2+1)(4−8x)
Distribute:
=2x^3+−3x+11+24x^3+−12x^2+8x+−4
Combine Like Terms:
=2x^3+−3x+11+24x^3+−12x2+8x+−4
=(2x^3+24x^3)+(−12x^2)+(−3x+8x)+(11+−4)
=26x^3+−12x^2+5x+7
Answer:
-1 to the nearest whole number.
Step-by-step explanation:
(-0.3) ÷ (-0.2)+(-2.56)
Order of operations - the division is done first:
= 1.5 = (-2.56)
= 1.5 - 2.56
= -1.06.
Answer:
300 students are enrolled.
Step-by-step explanation:
As the university accepts 60% of the students who apply.
As 2000 students apply, it means that:
2000 × 60% ⇒ 2000 × 0.6 = 1200 students are accepted
Out of these 1200, 25% enrolled
1200 × 25% ⇒ 1200 × 0.25 = 300 students are enrolled
Therefore, 300 students are enrolled.
Answer:
Length: 15 feet Width: 105 feet
Step-by-step explanation:
set up a proportion of x over 4 and x over 12 fill in the length or width that you do know. Then cross multiply and solve the simple equation you get: for example) 60 = 4x. Just divide both sides by 4 to get x by itself.
Hope this answered your question!
Answer:
X = 18
Y = 9√3
Step-by-step explanation:
use sin equation for right angle triangle
The sine of the angle
= ( the length of the opposite side ÷ the length of the hypotenuse.)
according to this question,
sin 30 = 9 / X
1/2 = 9 / X
X = 18
use cosine to find y
The cosine of the angle
= (the length of the adjacent side ÷ the length of the hypotenuse.)
cos 30 = y/x
√3/2 = y/ 18
y = 9 ✓3
