Y = -2x^2 + 50x + 300
-2x^2 + 50x + 300 ≥ 300
-2x^2 + 50x ≥ 0
-2x^2 ≥ -50x
x^2 ≤ 25x
x ≤ 25
Therefore, required domain is 0 ≤ x ≤ 25
X=area of Sahara.
y=area of the Gobi Desert.
We suggest this system equations:
x+y=4000000
x=7y
solve by susbstitution method.
(7y)+y=4,000,000
8y=4,000,000
y=4,000,000 / 8=500,000
x=7y
x=7(500,000)=3,500,000
The area of Sahara=3,500,00 miles².
The area of the Gobi Desert=500,000 miles²
To check:
Te sum of their areas is : 3,500,000 miles²+500,000 miles²=4,000,000 miles²
Te area of sahara (3,500,000 miles²) is 7 times the area of the Gobi Desert (7*500,000 miles²=3,500,000 miles²).
Answer:
45, 48, and 51.
Step-by-step explanation:
The numbers are 3x, 3x+3, and 3x+6. Write the equation: 9x+9=6x+54. Solve: x=15. So the numbers are 45, 48, and 51.
Check: 45+48+51 is 144. 45*2+54=144. 144=144 Correct!
These are really easy and it’s worth the points
<span>see the drawing in an attachment
x distance=15
y distance= 8
</span><span>hypotenuse=17
sinB=8/17
cosB=15/17
tanB=sinB/cosB
tanB=8/15</span>
