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Yes. When the function f(x) = x3 − 75x + 250 is divided by x + 10, the remainder is zero. Therefore, x + 10 is a factor of f(x) = x3 − 75x + 250.
Answer:
log₁.₅3 or 2.70951
Step-by-step explanation:
- 3^(2x) - 2^(x + 1) * 3^x - 3*2^(2x) = 0
- 3^(2x)- 2*2^x*3^x + 2^(2x)- 4*2^(2x)=0
- (3^x-2^x)^2 - (2*2^x)^2=0
- (3^x-2^x+2*2^x)(3^x - 2^x - 2*2^x)=0
- (3^x+2^x)(3^x- 3*2^x)=0
- 3^x+2^x>0 for any value of x
- 3^x- 3*2^x=0
- 3^x= 3*2^x
- 3^x/2^x=3
- 1.5^x=3
- x= log₁.₅ 3 = 2.70951
Answer:
≈ 0.9 cm²
Step-by-step explanation:
I don't know if there is any easier way to solve this, I use 8th grade slope and line method to solve. suppose A is on origin, then the coordinates of triangle ABC are (0,0) (1,3) (4,1) and polygon DEFGH intersect line BC at F and G.
F is the intersect of y=2 and line BC, while G is intersect of x=3 and line BC.
Line BC: pass (1,3) and slope (m) = (1-3)/(4-1) = - 2/3,
F(x,2)
(2-3) / (x-1) = -2/3
2x-2 = 3 x = 2.5
*<u>F (2.5 , 2</u>)
G (3,y)
(y-3) / (3-1) = -2/3 y = 5/3
*<u>G (3 , 5/3)</u>
*<u>point I (3 , 2</u>)
segment FI = 3-2.5 = 0.5 = 1/2
segment GI = 2 - 5/3 = 1/3
area ΔFIG = (1/2 * 1/3) / 2 = 1/12 = 0.083
area of polygon DEFGH (region colored RED) = 1 - 0.083 = 0.917 ≈ 0.9 cm²
Y= 7.75x because 31/4 = 7.75 and 54.25/7= 7.75 so the amount he charges per hour is $7.75
Answer:
FG= 20
Step-by-step explanation:
The reason FG and BC are not equal is because they are only similar. That's what that squiggle means. Hope this helps. Please name me Brainliest