Answer:
x = 2.81 and 2.096
Step-by-step explanation:
Given the expression
10(2^x) + 7(3^x) = 6^x + 70
This can also be expressed as;
10(2^x) + 7(3^x) = (2*3)^x + 70
10(2^x) + 7(3^x) = 2^x*3^x + 70
Let a = 2^x and b = 3^x
10a + 7b = ab + 70
10a + 7b - ab = 70
10a-ab + 7b - 70 = 0
a(10-b)+7(b-10) = 0
a(10-b)-7(10-b) = 0
a-7 = 0 and 10-b = 0
a = 7 and b = 10
Since a = 2^x
7 = 2^x
log 7 = log2^x
log7 = xlog2
x = log7/log2
x = 2.81
Similarly
10 = 3^x
log 10 = log 3^x
log 10 = xlog3
x = log 10/log 3
x = 1/0.4771
x = 2.096
Hence the values of x that satisfies the equation are 2.81 and 2.096
Answer:
Equation: y = -4x + 32
Slope: -4
Step-by-step explanation:
Given : (-10,-8) and (-8, -16)
Slope Formula: 
Solve For Slope, Input Given Points:
Solve for y-intercept:
Input the slope into the equation y = mx + b. Plugin x and y values for the x and y variables to find b.
- y = -4x + b
- -8 = -10(4) + b
- -8 = -40 + b
- b = 32
Equation of LIne: y = -4x + 32
-Chetan K
Answer:
t=
Step-by-step explanation:
Multiply both sides by 5/(-6).
*
=*9
ik the doesnt rlly make any sense but hope this helps
Answer: Point D is at (-5,2) as the first coordinate is on the "X" axis, and the second coordinate is on the "Y" axis. You would move down the x axis first going 5 to the left, as that would be negative. Then two up as that is positive on the y axis! Hope this Helps!
Step-by-step explanation:
Let's start by rationalizing the radical:
4√6/√50 * √50/√50
This gets rid of the radical in the denominator, giving us:
4√300/50
√300 can be simplified to √3 * √100 or 10√3. Now we can insert this back into the numerator:
4 * 10√3/50
This is equivalent to:
40√3/50
40/50 can be simplified to 4/5.
Therefore, the answer is 4√3/5.
