Answer:
16. x = 3.0822, -3.0822
17. x = 1.6432, -1.6432
18. x = 1, -1
Step-by-step explanation:
16. log5[(4x²+2)/8] = 1
(4x²+2)/8 = 5¹
4x² + 2 = 40
4x² = 38
x² = 38/4
x² = 19/2
x = +/- sqrt(19/2)
x = 3.0822, -3.0822
17. log7[(2x²-4)(5)] = 1
10x² - 20 = 7¹
10x² = 27
x² = 2.7
x = +/- sqrt(2.7)
x = 1.6432, -1.6432
18. log5[(2x²+8)/2] = 1
x² + 4 = 5¹
x² = 1
x = +/-1
Answer:
The plane can fly 760 miles in 4/3 hours.
Step-by-step explanation:
Given that:
An airplane can cruise at 570 miles per hour.
We have to find the distance travelled by train in 4/3 hours.
Distance = Speed * Time
Distance = 
Distance = 
Distance = 760 miles
Hence,
The plane can fly 760 miles in 4/3 hours.
Answer:
Step-by-step explanation:
Given the expression for the equation representing the prediction of number of trucks as;
2/7 = t/54-t where t is the number of trucks
To get the number of trucks t, we will have to evaluate the expression and solve for t as shown;
Given 2/7 = t/54-t
Cross multiply
2(54-t) = 7t
Open the parenthesis
2(54)-2t = 7t
108-2t = 7t
7t+2t = 108
9t = 108
Divide both sides by 9
9t/9 = 108/9
t = 21
Hence the engineers should have counted 21trucks
Answer:
480 pounds.
Step-by-step explanation:
By proportion:
8/3 = x/180 where x is the weight on Jupiter.
Cross multiply:
3x = 8*180
3x = 1440
x = 480 pounds.
Answer:
x=5 and y=25
Step-by-step explanation:
y=5x
3x+10=5x
3x+10+−5x=5x+−5x(Add -5x to both sides)
−2x+10=0
−2x+10+−10=0+−10(Add -10 to both sides)
−2x=−10
−2x
−2
=
−10
−2
(Divide both sides by -2)
x=5
y=3x+10
y=(3)(5)+10
y=25(Simplify both sides of the equation)
