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:
y = -8/7x - 3
Step-by-step explanation:
A line represents a linear relationship between x and y with constant slope and defined for all values of x and y.
Any line equation in slope intercept form would be of the form
y =mx+c where
m = slope of line
and c = y intercept
In our quesion we are given that slope of line = -8/7
and intercept = negative 3 = -3
Hence equation is
y =-8x/7-3
Answer:
<u>200 additional gallons of water are used when 40 people take a bath instead of a shower</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Amount of water used when we take a bath = 20 gallons
Amount of water used when we take a shower = 15 gallons
Number of people who wants to take a bath = 40
2. How much extra water is used?
Extra water is used = Number of people * (Amount of water used when we take a bath - Amount of water used when we take a shower)
Replacing with the real values, we have:
Extra water is used = 40 * (20 - 15)
Extra water is used = 40 * 5 = 200 gallons
So the problem asks us to find the fraction of your class that plays the saxophone. To find this, all you need to do is divide 2/5 by 1/4. We need to do this because we are basically taking 1/4 of 2/5. When we do this operation, we get 8/5, which is 1 3/5 in mixed fraction form. Hence, the solution to your question is 8/5 or 1 3/5 of the fraction of students in the band play the saxophone. Hope this helps!
Answer:
x = 4y + 6
Step-by-step explanation:
x-4y=6
2x-8y=12
multiply 2 on both side in equation 1, and multiple - on both side in equation 2:
2x-4x=12
-2x+8y=-12
so the equation becomes:
4y=0
y=0
put the value of y in both of the equations:
x=6 equation 1
x=6 equation 2
so,
x = x
then,
x = 4y + 6 equation 1
-2 ( x - 4y ) = -12
x - 4y = -12/ -2
x - 4y = 6
x = 4y + 6
so the ans is:
x = 4y +6
