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:
I'm not too sure which one you need, so choose what answer needs to go in the box!
JL= 44.5
JK=23.3
KL=23.3
Step-by-step explanation:
Since JK and KL are equal to eachother, we have to find the missing variable through them. You want to choose one side to have the variable number and the other side for the normal numbers. I can't really explain this next bit, so I'll show the math below:
V N
4x - 10.7 = 2x + 6.3
+10.7. +10.7
_________________
4x = 2x + 17
-2x -2x
2x = 17
So, once there is only one variable number and one normal number left, what do you do? You divide the variable by the number it's worth and carry the division to the normal number.
2x = 17
÷2. ÷2
_______
x = 8.5
So, 8.5 is our number we need. We then just insert it into all the equations to get the numbers.
4 × 8.5 = 34
34 - 10.7 = 23.3
Since JK and KL are equal, they are both 23.3.
5 × 8.5= 42.5
42.5 + 2 = 44.5
JL=44.5
Answer:
yes
number of tiles needed = (200 x 200) / (30 x 30) = 44.4
Step-by-step explanation:
number of tiles needed = Area of comfort room / area of tiles
Area of a square = length²
convert area of comfort room to cm
100 cm = 1 meter
2 x 100 = 200
number of tiles needed = (200 x 200) / (30 x 30) = 44.4
50 tiles are more than enough to tile the room
Answer:
the volume of the larger cube is 512
Step-by-step explanation:
we plug in the value of the side into the equation
so we get
8 x 8 x 8= 512
hope this helps <3
Answer:
Stephen's claim is correct.
Step-by-step explanation:
The given function is
Put x=0 to find the y-intercepts.
The y-intercept of the function is at (0,15). It means jeremiah's statement is incorrect.
Put f(x)=0, to find the x-intercept.
The x-intercepts are at (-3,0) and (-5,0). It means Lindsay's statement is incorrect.
.... (1)
The vertex form of a parabola is
.... (2)
Where, (h,k) is vertex.
From (1) and (2) it is clear that the vertex of the parabola is (-4,-1), Stephen's claim is correct.
The midpoint between the x-intercepts is
The midpoint between the x-intercepts is at (-4, 0). It means Alexis's statement is incorrect.
