This equation can be solved graphically by plotting the equations
f(x) = 3^x
and
g(x) = 5x-1.
The x-coordinate of the point(s) of intersection is the solution.
_____
On my graphing calculator, I find it easier to locate x-intercepts, so I would rewrite the equation as
3^x -(5x -1) = 0
and plot the function
h(x) = 3^x -(5x -1)
The x-intercept(s) would be the solutions. (There are two: x≈0.577, x=2.)
Answer:
21
Step-by-step explanation:
The 5 smallest prime numbers are 1, 2, 3, 5, and 7.
So when multiplied it equals 105.
Divide by 42 and you get 2 21/42
So you have a remainder of 21
This is a 2 part question, so we will go step by step
Since Angel makes 13.50 an hour, and she works 40 hours a week, we have to make an equation and solve it.
First, let's make the equation, and we should multiply. Why?
Because finding out how much she made in a week would make it easier to find out how much she makes in a year. To find out how much she makes in a week, we need to add 13.50 40 times, and multiplication is an easier way of doing that.
Now to set it up, 40 is the number we are multiplying by (Because 40 is how many hours she works, and 13.50 is how much she makes in that hour)
and 13.50 is the number getting multiplied
Now we insert numbers into typical multiplication format
13.50 x 40 = ?
Now we solve
13.50 x 40 = 540
So she makes 540 dollars in a week, now we need to multiply that by the number of weeks they are in a year and we are done.
With a little help from Google, we can learn that there are in 52.1 weeks<span> in a common year.
Now we do the same thing we did the last time and insert our numbers into the equation.
(52.1 is what we are multiplying by, and 540 is the number that is getting multiplied.)
540 x 52.1 = ?
Solve
</span>540 x 52.1 = 28,134
She makes <span>28,134 in a year
</span>
Hope this helped!
Answer is a, 57.49.
17.42-12.60-9.62= $-4.80+62.29=57.49
Answer:
<h2>The easiest to solve for is x in the first equation</h2>
Step-by-step explanation:
Given the system of equation, x + 4 y = 14. and 3 x + 2 y = 12, to solve for x, we can use the elimination method of solving simultaneous equation. We need to get y first.
x + 4 y = 14............ 1 * 3
3 x + 2 y = 12 ............ 2 * 1
Lets eliminate x first. Multiply equation 1 by 3 and subtract from equation 2.
3x + 12 y = 42.
3 x + 2 y = 12
Taking the diffrence;
12-2y =42 - 12
10y = 30
y = 3
From equation 1, x = 14-4y
x = 14-4(3)
x = 14-12
x = 2
It can be seen that the easiest way to get the value of x is by using the first equation and we are able to do the substitute easily <u>because the variable x has no coefficient in equation 1 compare to equation 2 </u>as such it will be easier to make the substitute for x in the first equation.
