Answer:
19.
log9(5x^2 + 10) - log9(10) = 1
<=> log9((5x^2 + 10)/10) = log9(9)
<=> (5x^2 + 10)/10 = 9
<=> 5x^2 + 10 = 90
<=> 5x^2 = 80
<=> x^2 = 16
<=> x = +/- (4)
20.
log5(2x^2 + 4) + log5(3) = 2
<=> log5((2x^2 + 4) x 3) = log3(9)
<=> 6x^2 + 12 = 9
<=> 6x^2 = -3
=> No real x satisfies. ( x^2 always larger or equal to 0)
21.
log6(8) + log6(7 - 2x^2) = 2
<=> log6(8 x (7 - 2x^2)) = log6(36)
<=> 56 - 16x^2 = 36
<=> 16x^2 = 20
<=> x^2 = 5/4
<=> x = +/- sqrt(5/4)
Hope this helps!
:)
Answer:
4
Step-by-step explanation:
It's going backwards by two
Answer:
B
Step-by-step explanation:
To find the y-intercept, plug in x=0 in the original equation. (You want to find what y is when x=0)
2x + 3y = -12
2(0) + 3y = -12 (Plug in x=0)
3y = -12 (2*0=0, so you can ignore that part)
y = -4 (Divide both sides by 3)
This narrows down our choices to either A or B.
To find the x-intercept, plug in y=0 into the original equation. (You want to find what x is when y=0)
2x + 3y = -12
2x + 3(0) = -12 (Plug in y=0)
2x = -12 (3*0=0, so you can ignore that part)
x = -6 (Divide both sides by 2)
If our x intercept is -6 and our y intercept is -4, that makes our answer B.
The mark in a subject for 12 students are as follows 31`, 37 ,35,38 ,42 ,23,17,18 ,35,25, 35,29
just olya [345]
Answer:
Mean (Average): 30.416666666667
Median: 33
Range: 25
Mode: 35, appeared 3 times
Step-by-step explanation: